diff --git "a/data/dm_maths/full_data_2/10629_11255.jsonl" "b/data/dm_maths/full_data_2/10629_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10629_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -3*f**4 - 1542*f**3 - 242364*f**2 - 11965194*f + 12209103 = 0 for f.\nAnswer: -269, -123, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (-1 + sqrt(242)*-2 + 0 + 3)*2 + -3.\nAnswer: -44*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {i: 1, a: 4, n: 2, b: 4, t: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = -g - 4*g - 2*x, 5*g + 4*x = 705. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(84) + sqrt(84))\/((sqrt(12) - (sqrt(12) + sqrt(768)*3)) + sqrt(12)) - ((4*2*sqrt(343))**2 - ((-1*sqrt(252))**2 + (1*sqrt(70))\/sqrt(10))).\nAnswer: -21700 + 10*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 149331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(18) + sqrt(54)\/sqrt(3))\/sqrt(6)) + (sqrt(22)\/sqrt(2))**2*-1*-1.\nAnswer: sqrt(11)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -186 and -0.156726?\nAnswer: 29.151036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + -2*sqrt(300) + (-1 + sqrt(300))*1 - (4 + (((sqrt(300)*-1 + -2)**2 - sqrt(300)) + sqrt(300) - (-3 + -1 + sqrt(300))))).\nAnswer: -317 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103*i + 1016*i - 2776*i - 3680*i - 887*i.\nAnswer: -5224*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.663 - -8.\nAnswer: 7.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 29. Let q be (11 + -10)*r\/21*-1. Which is the biggest value? (a) 1\/6 (b) -0.2 (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.53987 and -7?\nAnswer: 6.46013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/(((-5)\/(-1))\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 13 = 1. Let p(a) = -1 + a + 2 + 2*a - 2*a. Let l(v) be the third derivative of -v**5\/30 - v**4\/8 - 5*v**3\/6 - 2*v**2. Determine h*p(n) - l(n).\nAnswer: 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-408)\/1881 + 4\/22. Let t = -161\/285 + q. What is the fourth biggest value in 1\/3, 4, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31233797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, -2.\nAnswer: -2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 6.59?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from qeqeqqqqee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14*s - 1898. Let b(u) = -u + 13. Calculate -12*b(z) + o(z).\nAnswer: -2*z - 2054","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**2 + 24*h - 95. Give o(4).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 6*b + 6. Let z be r(-5). Let o = -5 + z. Let u be (-1)\/(-2) + 54\/4. Calculate the greatest common factor of u and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 1877678478.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-18684.1911\nAnswer: -5605.25733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/7 - 66*s**2\/7 - 9*s = 0. What is s?\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3569 + 3564.078. Let n = m - -0.002. Let y = n + -0.08. Which is the nearest to 0.1? (a) y (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 3 + 7*u - 7 + 3. Let v be b(6). Suppose -3*x - 19 = -q, 0 = -3*q + v*q + 2*x + 2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 + 12*x**2 + 13*x**2 + 4*x**3 + 12*x**2 + x**3 - 368.\nAnswer: 5*x**3 - x**2 - 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00184911086 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(330) - sqrt(330))\/sqrt(6))\/(sqrt(99)\/((sqrt(36)\/sqrt(4) - sqrt(9)) + sqrt(9))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + (-2)\/(-1). Let p(n) = 4*n**2 + n - 1. Let f be p(t). Is 3 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324114 (base 5) in base 7?\nAnswer: -44351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(605) + sqrt(605) + sqrt(605)*2 + 1 + sqrt(605) + (sqrt(605) + 2)*-1 + -5).\nAnswer: -12 + 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/8 (b) 28729 (c) -16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*k - 0*k. Let i be (-8 - k\/(-2))*-1. Suppose 0 = i*c - c - 72. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b24 (base 16) to base 4\nAnswer: -230210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 59*k + 186 + 317 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 30, -5\/6, -3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23324+-0.8\nAnswer: 23323.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8*4\/(-40)*((-2040)\/(-561))\/4\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 6*s - 2890. Let p be (-6)\/(-30) - 54\/s. Which is the fourth smallest value? (a) 0.03 (b) 2\/9 (c) 0.1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as -17249111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -34, -62, -94, -130?\n\"Answer: -2*a**2 - 18*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82366 is divided by 20571.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - sqrt(2))**2*3 + (2 + sqrt(98))**2.\nAnswer: 28*sqrt(2) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -59. Let t = 39 + b. Is 26 a factor of t\/(-45) + (-1296)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3974 + 8128 = -19*p + 3907 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49931, -49733, -49535, -49337, -49139, -48941?\n\"Answer: 198*z - 50129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - j + 25, 2*j - 10 + 0 = 0. List the prime factors of (u\/10)\/((-3)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6131, -6126, -6119, -6110?\nAnswer: -6099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 0*s + s + (-20 - 35*s + 8 + 14)*(1 + 4 - 3).\nAnswer: -66*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -69)\/(-5)*(-2)\/2. Let z(u) = -u**2 - 10*u + 43. Let w be z(t). Is w equal to 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o + 2. Let j be 1\/(-1)*(-2)\/o. Let d(f) = -1. Let s(p) = 2*p**2 + 4*p - 2. Let u(m) = j*s(m) + 2*d(m). Suppose u(b) = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w. Is w\/1 - -93 - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12*g*g**(-3\/2)\/g)\/(g\/(g\/g**(-5\/3))*g*g*g\/(((g\/g**(-10\/3))\/g*g)\/g)) assuming g is positive.\nAnswer: g**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-60)*4\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0519 in 0.5, -2\/7, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 32, -5, 1.\nAnswer: -5, -3\/4, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 52. Is b(-20) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*f - 6*f. Suppose -16 = f*w - 0*l - 2*l, -5*l + 13 = w. Let h(o) = -o**2 - 1. Calculate h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230662169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 25 = f, -2*f + 5 - 3 = 0. Let n = m - -55. What is the greatest common factor of n and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1815 and -157\/33396.\nAnswer: 166980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 112. Suppose 50*n - k*n - 57 = 0. Suppose 3*y + 0*y - 9 = 0. What is the highest common divisor of y and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**2 + 17374*s + 11580.\nAnswer: 2*(s + 2895)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -634.4 + 619.2. Which is the nearest to 2? (a) 0 (b) 5 (c) 0.3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 1160\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, w: 4, d: 8}. Give prob of sequence wddd.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -27388.\nAnswer: 27388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(57)\/(sqrt(18)\/(-2*sqrt(6))) + -2*(1*sqrt(2736))**2.\nAnswer: -5473 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*p**3 + 2*p - 5*p + 3*p.\nAnswer: 295*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 127, 2, 1, 1589, -4 in increasing order.\nAnswer: -4, -1, 1, 2, 127, 1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(8) - (-2 + -1 + sqrt(2)))*-2)**2.\nAnswer: -120*sqrt(2) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28129551 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -3*y = 0, 3*x + n*y = 3*y + 306. List the prime factors of x.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.3 - 7.8. What is the nearest to 1\/3 in -2, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21085 + 21085. Let l(k) be the third derivative of -9*k**2 + h*k + 25\/3*k**3 + 0 - 5\/6*k**4 + 1\/30*k**5. Factor l(z).\nAnswer: 2*(z - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + -250. Let f be g\/(-18) + 12\/(-72). Calculate the highest common divisor of f and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c + 3*c - 2*c)*(-1 - 1 + 0)*(16 - 2 + 11) + c - 3*c + 0*c as x + m*c and give m.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*14 + -5. Suppose -53 + 79 = -2*f. Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 - 5*z + 5. Let i be c(-6). Suppose -27*n + 44 = -3*n + 284. Sort i, 3, n in decreasing order.\nAnswer: 3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092460.869 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 + 135*m**3 + 125*m**2 - 135*m - 130 = 0.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 9*q - 51 = 11*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 91\/(8 + -1) - (4 - 0). Let h(g) = 7*g - 8*g + m + 2*g - 11*g - g**2 + 0*g. Let r be (-3)\/12 - 86\/8. What is h(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -591426?\nAnswer: 591428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d - 2*z = -422, 3*d - 4*z = 300. What is the remainder when d is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -29. Let n = -16 + 24. Let x = l + n. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*c + 5, -2*g + 0*g - 16 = -c. Let j be 0 - (-12 + 6) - c. Solve 6*n - 24 + 6 = j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1065, -4446, -10065, -17922, -28017, -40350, -54921?\nAnswer: -71730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -184. What is the remainder when h is divided by (231\/(-140) + 15\/100)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-2226)\/(-105) - 21)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 - 2*g + 3. Let h = -26 + 23. Let c(w) = -7*w**2 - 2*w + 4. Let x(t) = h*s(t) + 2*c(t). What is x(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.001? (a) 0.0186 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/17594268 and 133\/24.\nAnswer: 35188536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 7*k + 7. Let p be (-165)\/(-25) + 4\/10. Let b be t(p). Let n be (-2)\/b + 44\/7. Which is smaller: n or 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -17.9.\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161206027 and 0.2.\nAnswer: -32241205.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1568 - 890. Is c\/(-12)*-2*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.5, 0.4, 3\/4, 5, -228\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 6*k + 3. Let y be q(-7). Suppose y*w - 380 = 5*w. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -128399)*25\/3. What is v rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(288))*1)**2.\nAnswer: -1156 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i**2 - 15*i - 72 wrt i?\nAnswer: -10*i - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((561 - 633 + 354)*(-4 + 0 + 1) + (0 - 3 + 2)*(0 + 3 - 4))*((3 - 3 - 2)*(4*t - t - 5*t) + 5*t - t - 3*t + 2 - 2*t - 2 + 0*t + 0*t - 4*t).\nAnswer: 845*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.2 and -849.7?\nAnswer: -6967.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -74017*-2\nAnswer: 148034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 1917 = 3*k. Suppose k = -7*t - 21985. Is (2 + t\/12)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/8 + 18*x**2 + 13. Let f(t) be the second derivative of b(t). Let m(v) = 19*v. What is f(m(u))?\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {z: 1, x: 1, h: 1, f: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*q - 6, 2*g - 2 = -0*q - 4*q. Solve a - 3*z - 16 = 5*a, -5*a = g*z + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9*g = -224. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 5. Let l be 2\/11 - 340\/55. Let b(z) = -4*z + 9. Give l*b(m) - 11*u(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2200 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000247 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7898\/5 or 1580?\nAnswer: 1580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6) + (31 + -31 - (17 + 8 + -30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*w + 3*i - 3 = 132*w, 4*i = w + 3*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5804*x - 32. Let j be s(-5). Suppose -u - 21293 = -2*q, -u = -5*q + 24240 + j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14373 - -20933. Suppose 3*w - 3938 = -u, 5*u - p = -12*w + 7*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 284894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**3*i**3 + 3*f**3*i - 2*f**3 + f + 2*i**3 - 2 wrt f.\nAnswer: 48*f*i**3 + 18*f*i - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f + 185051 = 91601 + 90442 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 20*t + t - 2*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-6)*(9\/(99\/11))\/(4\/(-9)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 6:43 PM?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87334178 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p = 15. Which is the second biggest value? (a) -5 (b) -6\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-231)\/28 + (-6)\/8. Let l(y) = y + 9. Let u be l(k). What is the nearest to -0.1 in 1\/7, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2. Let u(a) = 2*a**2 - 6*a - 29. Let d be u(7). Let b(g) = -40 + d - g**2 + 13. Suppose 7*l = 3*l - 8. Calculate l*m(q) + 6*b(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.122405 hours?\nAnswer: 440658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15183557 at most 15183557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/855 and -2\/5499.\nAnswer: 522405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 4. What is the third derivative of 3*l**5 - 2*l**5 + 3*l**5 - s*l**2 + l**5 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 193*s. Let l be c(-1). Let o = -3089\/16 - l. Calculate the common denominator of 9\/2 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2 - 7\/10. Which is the closest to -1\/2? (a) -1\/2 (b) j (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (-16 - -5) - (-719 - -749)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/42548540 and -19\/8?\nAnswer: 85097080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 279, 2, -4, 3 in decreasing order.\nAnswer: 279, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1*-3*3\/(-18). Suppose g = -c + 5*c + 3*w + 6, 0 = -c - 3*w - 6. Suppose -4*v - y + 250 = c, -5*y = 6*v - 4*v - 116. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 10*u**2 + 8*u + 5. Let w be g(9). Let j = w + 4. Suppose -y + 0 + 2 = j. Solve -13 = -y*d - 3, 5*k = 3*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*n + 23, -3*q - 59*n + 58*n + 19 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:39 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:25 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4642956070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*w = 777, -4*r - 2*w = r - 3858. Let g = -172 + r. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 8. Let w be k(6). Let x be w\/1 - (1 + 339997). Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1559788296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-1)\/(2\/(-16))))\/(3\/(-3))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 55*p - 5. Let a(j) = -2*j**2 + 27*j - 2. Give -9*a(l) + 4*s(l).\nAnswer: -2*l**2 - 23*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 528, 793, 1060, 1329?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 11*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5355 = a, -3*l + 2700 = -l + 4*a. Calculate the smallest common multiple of l and 8.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 340597 to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.76 + 0.24. Let r = s - 32.9. What is the third biggest value in 1\/3, 4\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4257*o**2 + 25107*o + 2605. Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450112 + -611?\nAnswer: -451023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s - 4. What is the remainder when 35 is divided by q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215 divided by -45?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v - 20. Let u be z(-1). Sort u, -22, 17 in descending order.\nAnswer: 17, u, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10357, 82932, 279931, 663568, 1296057, 2239612?\nAnswer: 3556447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50711617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2035 + -1090. Let r = -412 + n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 883 = -717. Suppose -4*s = 12, -4*t + 3*s - 181 = 2*s. Let u = t - j. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -13*u + 15*u - 8, -5*u + 33 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 28*l**2 + 192*l + 77. Give r(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 + -357. Suppose -5*i + 23 = -3*f, 2*i + 3*i - 5*f = a. Solve -4*j - 4 = 4*v, -v - 11 = i*j - 4*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 750.4849t?\nAnswer: 750484.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 598932517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -2*sqrt(84)*4)\/(-6*sqrt(192)) - -1*(sqrt(28) + 0)**2*5) + 4.\nAnswer: -3*sqrt(7)\/8 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 6*l - 5. Let d be p(-7). Suppose 0 = -3*c - 3*f - 3, d*f + 2 = c + 2*c. Let z = -1 + c. Is -1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4457 + -1433. Is f a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(2 + sqrt(450)\/sqrt(810)))**2*-2.\nAnswer: 288*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(36))\/sqrt(2) - (sqrt(198) + 4*sqrt(198) + sqrt(198))\/sqrt(11))\/((2*sqrt(324))\/((sqrt(48)\/sqrt(2))\/sqrt(6))).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h - 24*h - 90*h in the form y*h + j and give y.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.87327056 to three decimal places.\nAnswer: 1.873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 4*q + 44. Suppose -4*g + 2*h - h + 747 = 0, 4 = q*h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 45 = -112 - 93. Let r = 16 - 7. Let c = 21 - r. Solve m = x*m - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 5462\/(-3040) - (5 - 7). Let l = r + -3\/190. Is l < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647*t + 719*t = 2736. Solve -101 = 9*g - t for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 11:21 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9051127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 806 + 38?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.605 and 0.4.\nAnswer: 1.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24023 (base 8) to base 4\nAnswer: 2200103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -511, -542?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-8)\/(-36)*5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**4\/6 + 7*a**3\/6 - a**2. Let x(s) = -11*s - 3. Let w(u) = -14*u - 4. Let y(j) = -4*w(j) + 5*x(j). Determine v(n) - 6*y(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 27*l. Suppose -3*g = -4*v - 21667985, l = -5*v - 5*g - 35381770 + 8296745. Round v to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28027 at least as big as -28025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/28)\/((-2)\/(-4)). Solve -4 = o*r - 2*p - 3, -37 = -4*r - 5*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -0.28. Let h = -27 + 28. Which is the nearest to 2? (a) 0 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l + 25. Let r = 13 - l. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 + 3*k + 7. Let t be c(-5). Let x be 51\/(-108) + (-2)\/t. Let z be 4\/(-10) - 2\/20. What is the closest to 0.1 in x, -4, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (1 - (1 - 0)). Let q = 181\/4 + -901\/20. Which is the nearest to 2? (a) 5 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/5 - 206*z**4\/5 + 8354*z**3\/5 - 83482*z**2\/5 + 30552*z + 48960 = 0 for z.\nAnswer: -136, -1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*a - 10*a - 4*a + 10 + 6*a wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-70.5\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-422 - 8\/(-2)) + 15\/5. Let i = v + 913. Let w = i + -263. List the prime factors of w.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5706*c**6 - 3*c**4 + 2797*c**2. Let r(i) = -11416*i**6 - 5*i**4 + 5594*i**2. Let k(j) = 5*q(j) - 3*r(j). What is the third derivative of k(u) wrt u?\nAnswer: 686160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 5. Let o be k(7). Suppose 2*n = -n + o. Suppose t - 18 = 3*w + n*t, 2*t + 16 = -3*w. Which is the closest to -1? (a) -5 (b) -4\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**4 - f**3 - 5*f**2 + f. Let p(k) = -2*k + 3*k - 142*k**3 + 141*k**3 - k**5 - k**2. Let g(o) = -c(o) + p(o). Factor g(y).\nAnswer: -y**2*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 10, -4 = -2*b + 2*y - 0*y. What is the remainder when 30 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let t be h(0). Suppose q + 5*c = -0*q - 12, 0 = 4*q - 4*c - 24. Suppose 2*w = 3*f - 44, 0 = -5*f - w + q*w + 68. Solve 4*d - 4 + f = t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/138 and -3\/253?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 163 (base 7) to base 12\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**24*r)*r**(-2\/15))\/(r**(2\/33)\/r)**(-2\/5) assuming r is positive.\nAnswer: r**(-1348\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**4 + z**3 + (z**3 + z**3 - 3*z**3)*(0*z - 2*z + 0*z) + z**4 - 2*z**4 + 0*z**4 + z**4 + 0*z**4 + 0*z**4 - 2*z**4 + z**4 + 4*z**4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -225, -321, -397, -447, -465, -445?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88451703 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367 and 304977.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 673. Let o = -288 + h. What are the prime factors of o?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 8}. Give prob of picking 2 e and 1 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*i*n**3 - i*n**2 - 150*i + 2*n**3 wrt n?\nAnswer: 36*i*n**2 - 2*i*n + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 + 2913\/18 + 6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 - h. Suppose 3*w = 2*x - 14, 4*w = 4*x - 2*x - 16. Let l be (5 + -3)\/(x\/2). Give y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 3*m**2 - 2*m - 9. Let z be x(4). Let d be -19 + 10 + (2 - z). Sort d, -2, 6, 0 in ascending order.\nAnswer: d, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1011011101010100000011011?\nAnswer: 1011011101010100000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 15, z - 5*b + 1 = -11. Suppose -z*s = 5*g - 440, -g = g + 3*s - 167. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a4 (base 15) in base 9?\nAnswer: -2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**3 - w**2 + w - 4. Let c be 3\/(-2*(-12)\/(-16)). Let v be r(c). Let l = v - -145. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 12 (b) -5\/2 (c) 0.5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x - 2. Let t be n(-6). Suppose a = -a + t. Suppose 0 = -345*f + 338*f + 210. Calculate the remainder when a is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1.5. Let c = 1.06 + -0.93. What is the second smallest value in c, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c - 1. Let r = 90 - 89. Determine k(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409029 is divided by 407790.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 4*h**2 + h**2. Let f(n) be the third derivative of -7*n**5\/10 - n**4\/8 + 88*n**2. Give f(b(k)).\nAnswer: -168*k**4 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 27. Let a be i(8). Solve 0 = -d - a*v + 15, 4*d - 5 = 4*v + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*d**5\/3 + 2*d**4 - 2*d**3\/3 = 0. Calculate d.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-6 - -16 - 21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13711.58 + -13283. Let k = j - 425. Round k to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 3*c - 2*c)*(c - 4 + 4) + 5*c - 6*c - c - 3*c**2 to j*c + h*c**2 + u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/6*(-18)\/15. Suppose 3*f - 80 = -2*f - 5*g, 4*f = t*g + 85. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t. Suppose 5*c - x = 382, -3*c + c + 4*x + 142 = t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011101 + -1101100111011100?\nAnswer: -1101111010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/6)\/((-32)\/48) - -10. Find u, given that -3\/2 + 5\/4*u - 1\/4*u**f = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Suppose p = -0*k + 3*k - 1, 5*k = p + 5. Let d(x) = 3*x + 9*x - p*x. Give y(d(n)).\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1384 and -23\/4?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 116. Is h at least as big as 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14142501*d**3 - 248362910?\nAnswer: -42427503*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -100\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36147284519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 0.0767?\nAnswer: 0.5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 21. Let m be v(-6). Suppose -5 + 8 = m*d. Let z = d + -5\/3. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(-6) + 6\/(-9). Let m(g) = -g**3 - 4*g**2 + 6*g + 1. Give m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13157.\nAnswer: 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46\/5 + 117\/10. Let y = 19558.5 + -19559. Put i, y, 3 in descending order.\nAnswer: 3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -201\/2. Let p = y + -12. What is the closest to 0.1 in -0.3, p, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366 divided by -122.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -2b15c85?\nAnswer: 2b15c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -61, -227, -497, -865, -1325, -1871?\n\"Answer: f**3 - 58*f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000300345 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 256 = -f, b - f + 3*f = -128. Let d = b + 130. Solve -a + 2*l - d = 0, -4*l + 4 = a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 11. Let r = 75 + -43. Suppose -r*i + 66 = -26*i. Let m be y(i). Solve 0 = -m*j - 4*j - 3*h - 9, 4*j = 2*h - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.2 - -5.06. Let x = -0.14 - s. Are -16 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -11 (c) 51.51 (d) 4\/11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 18882*p = -18885*p - 29, 11 = -5*i - 2*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from rlellze?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/121616265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 17 - 9. Put 2, -6, s in ascending order.\nAnswer: -6, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185831803.78 - -185831643.77999913. Let k = 160 + x. Round k to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:37 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 - x**4\/3 + x**3\/6 - 3*x**2\/2 - x. Let k be 30\/50 + (-28)\/5. Calculate the remainder when 32 is divided by p(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -4, -3313\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079402677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 9. Let u be (-20)\/28 + a\/7. Let g(k) = -6*k - 52*k**2 + k + 49*k**2 - 2. Let d(w) = w**2 + w. Give u*g(z) - 5*d(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2 + 1071*f - 180750 = 0.\nAnswer: -482, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 105?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 20. Suppose 2*z - z = 0. Let f be z*(-1 + (-3)\/(-6)). Which is the biggest value? (a) y (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + g + g + (-13*g - 60*g + 6*g)*(-1 - 6 + 1) + 0*g + g - 3*g)*(13 + 4 - 1) in the form s + q*g and give q.\nAnswer: 6368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31695747703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 404610083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 947 - 925. Suppose 5*n - 3*z + 6*z - 180 = 0, 0 = z - 5. What is the highest common factor of q and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19785534*b**4 + 2874741*b + 4?\nAnswer: 237426408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 28*v**2 + 2\/15*v**5 + 0*v - 1\/3*v**3 + 0*v**4 - 4. Let q(c) = c. Give r(q(o)).\nAnswer: 8*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/7 - -25\/63. What is the smallest value in k, 50, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547984047 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (15\/12)\/((-1)\/(-10)*5)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*z + 18, 7 = 4*z + 3. Solve -3*j - h*t - 13 = 0, -j + 3*j = 5*t + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898 a factor of 76385484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-58) - 2165926\/(-2059). Let c = u + -826. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obwb when four letters picked without replacement from {w: 3, b: 2, o: 5}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-54)\/(-21)*(-14)\/(-6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 95*q**2 + 90*q - 1110. What is the tens digit of h(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 41. Suppose -5*u + t = 138, 3*t = u + 4*u + 144. Let n = h - u. What is the remainder when 43 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/2 - 957*r**3\/2 - 101115*r**2\/2 - 3469047*r\/2 + 3675129 = 0.\nAnswer: -107, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 plus -0.056?\nAnswer: 28.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 137, 289, 583, 1067?\n\"Answer: 8*g**3 - g**2 + 5*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - 14. Let g(n) = n**3 - 7*n**2 - 13*n + 12. Let m be g(9). Let t = r - m. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*(1 + -103). Suppose 0 = -s - s + b. What is the remainder when 31 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43823 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 5*d + 205 = 0, -3*i + 306298*d - 306297*d = 39 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 779086 and 30354.\nAnswer: 2337258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2614*j - 1649 - 1048 + 451*j - 1244*j.\nAnswer: -3407*j - 2697","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 33.8, -2\/5, 3\/5, -4, 2\/3 in decreasing order.\nAnswer: 33.8, 2\/3, 3\/5, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 868*w**2 - 868*w**2 + 1 - 4*w**3 as v*w**2 + y*w + c*w**3 + o and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667 take away 14761.28586?\nAnswer: -12094.28586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3699, -14912, -33611, -59790, -93443?\nAnswer: -134564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 15) to base 4\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 + a**2 - a. Let d be i(1). Let c = -6 + d. Suppose b - 37 = 2*v, 5*b - c*v = 3*b + 76. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15360 and 9280.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-18)*2696\/25612?\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -10 + (-2)\/(6\/(-27)) + 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -9. Let g = q + -10. Let y be (-2)\/(-2)*(8 - 3). Sort -5, y, g in descending order.\nAnswer: y, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v**3 + 7*v**3 - 8*v**3)*(v - 4*v + 0*v).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.841*-47448.\nAnswer: 39903.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51151339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220112 (base 3) to base 5.\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:28 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 923 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**5 + 5*s**5 - 3*s**5 + (-s**5 + s - s)*(-37 - 35 - 1).\nAnswer: 71*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1060 - 113. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 - 53 = 0. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2636*k**2 + 5284*k - 24 = 0. What is k?\nAnswer: 3\/659, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67275 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 73*l + 426. Calculate c(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-538)\/(-807))\/(16\/1320)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142878.\nAnswer: 2, 3, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312598206 to the nearest integer?\nAnswer: 17680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8756, 17520, 26284, 35048?\nAnswer: 43812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 655.787 years?\nAnswer: 6.55787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) 15\/7 (c) 4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281571878?\nAnswer: 2, 7, 20112277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17544 + 27056. Let o = n - -15281. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37553 is divided by 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -11320?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37535008 rounded to the nearest 1000?\nAnswer: 37535000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*z - 9 = 31, -3*g + 4*z - 5 = 0. Let u = -2 + 5. Sort 4, u, 2, g in decreasing order.\nAnswer: g, 4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4 - 0. Let v be k - 2\/1 - -144. Let u = -53 + v. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*r = -0*w - 50, -w + 3*r - 2 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-9)\/(-18))*(-3)\/30. Factor 2*u**4 - 36\/5*u - r*u**5 - 13\/5*u**3 - 12*u**2 + 0.\nAnswer: -u*(u - 6)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 1, x: 5, r: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t - 13. Let p be u(-6). Let s be (-180)\/(-50) + (-35)\/p. Which is the third biggest value? (a) -1\/6 (b) 11 (c) -5\/4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139325027*z**2 + 108079006*z wrt z?\nAnswer: -278650054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -171.\nAnswer: -11\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2 - 7*t**2 + 19*t - 42*t + 7*t**2 - 30 + 31*t. Does 13 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -44. Suppose -3*d + 6*d = p. Sort d, -5, -3.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344126 + 0.0292\nAnswer: -344125.9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/13 + 614*t**4\/13 - 149312*t**3\/13 + 7349464*t**2\/13 - 27625920*t\/13 + 27038592\/13 = 0.\nAnswer: -479, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 3)*(i - 2*i + 3*i) + (-6 - 20*i + 6)*(-1 - 3 + 3)*(3 + 1 - 3) in the form j*i + q and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**3 + 42*z**2 + 25*z + 30. Let q(c) = -8*c**3 - 43*c**2 - 26*c - 31. Let x(v) = 10*i(v) + 9*q(v). What is x(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33917, -133001, -298147, -529361, -826649, -1190017, -1619471?\nAnswer: -2115017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*312\/(-312)*(-2)\/10.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**4 - x**3 + 3*x**2 + 3*x. Let r(z) = -5*z**4 + 2*z**3 - 4*z**2 - 4*z. Let d = 5 - 1. Let g(l) = d*v(l) + 3*r(l). Factor g(j).\nAnswer: j**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 + -4.23. Let z = -12 - -7. What is the third smallest value in z, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 15*h**2 + 19. Determine x(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - a**5 - a**5 + (-1 + 1 + a**2)*(-7*a**3 - 17*a**3 + 7*a**3).\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1608 + -2836. Let w = -693 - x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 3*x - 4. Let t be n(0). Let f be t\/1 + 92\/23. Solve f = s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11806 + -7579. What is the remainder when v is divided by 151?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39898 - -39900. Solve 909 - 891 = o*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 13363?\nAnswer: 13362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(sqrt(13) + 1) - (sqrt(156) + (sqrt(156) - sqrt(156)*2))\/sqrt(12)*-3.\nAnswer: 12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1)\/(-5 - -3). Solve 2*x = -2*n, -3*n - 2*x + z = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2024, -2421, -2830, -3257, -3708?\n\"Answer: -m**3 - 390*m - 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**2 + 4*y - 3. What is the remainder when 31 is divided by a(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -1*sqrt(2) + -3 + ((3*sqrt(18))**2 - sqrt(2)).\nAnswer: -sqrt(2) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(2\/7)))**(-11)*(r**(2\/7))**41)\/((((r**(3\/2)\/r*r)\/r)\/r)**(-9))**(-1\/7) assuming r is positive.\nAnswer: r**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427862 - 427849. Calculate the remainder when 213\/5 + (-4)\/(-10) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 33. Let r be i(-12). Suppose -r*q - 2*q = -2*c + 379, 749 = 4*c - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17491495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n - 20 + 174*n - 87*n.\nAnswer: -2*n - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 2 (c) 1\/264 (d) 5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7529 is divided by 1860.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/27 > 30.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 291758 + 485?\nAnswer: 292243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271.3 - 244. Let g = -27.1 + v. Is g bigger than -2\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18936 and 18143055?\nAnswer: 145144440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**5\/60 + 7*o**4\/36 - 11*o**3\/18 + 5*o**2\/6 - 2*o + 19. Let p(b) be the first derivative of u(b). Factor p(s).\nAnswer: -(s - 5)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (119\/21)\/(6\/21663) - 4\/8?\nAnswer: 41, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -888, -2024, -3160?\n\"Answer: -1136*c + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*36\/384)\/((-51)\/1360).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 140. What is the greatest common factor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785733494 to the power of 1\/3, to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 18*i**2 - 10*i + 7. Is k(-18) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2160)*-2 + sqrt(2160)) - -5*sqrt(2160)*-1)\/(-2*sqrt(108) - sqrt(12)*3*-4)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3172 and 133817164.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 6*n + 34*n + 2 - 7*n - 1 - 10*n.\nAnswer: 14*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -100. Find the common denominator of g\/1 + 326\/36 and 33\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -606 (base 11) to base 8.\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2909 divided by -88.\nAnswer: 2909\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4170 - -4326. Calculate the smallest common multiple of w and 504.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 7*h - 165 = 0. Suppose -2*o + 10 = -s - 6, 4*s - 5*o = -h. Find the common denominator of -15\/22 and s\/(-3)*10\/8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104323566, -104323563, -104323560, -104323557, -104323554, -104323551?\nAnswer: -104323548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*x + 99. Let p(d) = -d**2 + 14*d - 1. Let z be p(7). Calculate the highest common factor of z and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*n + 101 = -j, -4*j - n = 449. Let h be -164 + (-5)\/((-5)\/2). Let w = j - h. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 180, 266, 350, 432, 512, 590?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937785861 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + v = 11, 5*l - 2*v + 26 = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*c)\/(c*c*c**(-1\/3)) assuming c is positive.\nAnswer: c**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.696 and 3.2?\nAnswer: 2.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10887 and 1197?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times -151979.91\nAnswer: 197573.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54428.57731 - 54432.6. Let v = -4.02 - q. Round v to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2001075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 45.07. Is y equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 20, -21, -84, -175, -300, -465, -676?\n\"Answer: -s**3 - 2*s**2 - 12*s + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 8:14 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2674728 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*h - 521*h + 284*h.\nAnswer: 143*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44) + -1 - sqrt(44)\/(sqrt(40)\/(sqrt(10) + (sqrt(10)*-1 - sqrt(10)))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567337218.\nAnswer: 2, 783668609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 26*i - 108, 4*o + 120*i - 28 = 128*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 + 7 + 6*z - 10 - 3. Let w(v) = -v. Give t(h) + 5*w(h).\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*y - 215*y - b = 338, -5*y - 44 = 2*b for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -1882 in ascending order.\nAnswer: -1882, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/222224 and 157\/44118.\nAnswer: 6000048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 - 7*i - 1. Let w be s(-5). Suppose -98*k = -4*h - 103*k + 46, 3*h - k - 25 = 0. What is the greatest common factor of h and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 45452?\nAnswer: 45444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 + 1643 = -320*m - 396 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -1361, -2052, -2759, -3488, -4245, -5036?\nAnswer: -5867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ztstjvztzvszzztz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 11}. What is prob of picking 1 q and 2 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -6. Let y = 2 - a. Let i = 14.99966 - y. Round i to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-10)*(-54)\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*h - 44. Suppose 60 = -m + 5*m. What is the greatest common divisor of h and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4 - 4)*(3*q**2 - 4*q**2 + 3*q**2) + (-3*q**2 + 3 - 3)*(-2*q + 0*q + 3*q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -3*n + 3*r, -n + 35 = n - r for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9407 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7571 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**2 + 6*s + 2. Let q be j(0). Let z(y) = 2*y**3 - 10*y**2 + 11*y - 13. What are the prime factors of z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, z: 1}. Give prob of sequence ze.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 214505 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 307, 3 in descending order.\nAnswer: 307, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34125 and 31863.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5667158*i**2\/5 + 2781*i\/5 - 2\/5 = 0. Calculate i.\nAnswer: -1\/1126, 2\/5033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2968893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 15*x + 24. Calculate n(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 12 = -2*c, -98*c + 3*l = -102*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 8*r + 11. Let b = 22 + -23. Let x(o) = -1. Let t(h) = b*s(h) - 5*x(h). Determine t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 20. Let y(s) = s**3 + 3*s**2 - 3*s + 1. Determine y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98.47 - 96. Let x = y - -0.58. Let n = 0.05 - x. Sort 0.2, -0.1, n in ascending order.\nAnswer: n, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2504 or 6\/13?\nAnswer: -2504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17195 divided by 181?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 19, 0.2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n. Let v = -3 + 5. Let d(z) = 5*z - 4*z + v*z - z. Give y(d(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqannhhhaqqnqahqhan. What is prob of sequence nh?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*m - 66 = -926*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -42*r**3 - 54*r**2 - 5*r - 5. Calculate the remainder when 1123 is divided by k(-2).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 8*z + z. Suppose 3*l = -z*l + 294. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 29. Let y = -39 + 42. Suppose q + 12 = y*o. Solve 1 = -4*d + 4*z - 15, d = -4*z + o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (273\/78*32\/(-14))\/(-8). Sort 6, o, -9, -1, 2 in ascending order.\nAnswer: -9, -1, o, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*x + 128 = 33, -3*n + x - 45 = -10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -31. Let j be 3*(-6)\/s + 0. Which is greater: -0.4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 10. Let j(p) = 4*p**2 - 2. Calculate the remainder when j(w) is divided by 42\/8 - (-2)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27700098 divided by -6.\nAnswer: -4616683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.695 + -0.395. Let p = 0.09 + k. Sort -4\/7, p, -3.\nAnswer: p, -3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.741 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 54 + 18 = 0. Let j be (3 - (-111)\/d)*-2. Let b = j - -7\/30. Is -0.1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142515*o**2*r**3 - 240*o**2*r**2 + 51*o**2*r - 4*o**2 - o*r**3 - 5*o - 8*r**3 - r**2 - 2 wrt r.\nAnswer: 855090*o**2 - 6*o - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/11*o + 0 - 2\/11*o**4 + 16\/11*o**3 + 38\/11*o**2.\nAnswer: -2*o*(o - 10)*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 35. Suppose -67 = -11*v + 43. What is the greatest common factor of n and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 597663 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-10))\/b**3*(b**6\/b*b*b)\/b*b\/b**(-1\/6) assuming b is positive.\nAnswer: b**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, p: 12}. What is prob of picking 3 t and 1 p?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 216 = 3*h + 114, 2*r - 120 = -21*h for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b - g - 2*g, -5*b - 2*g = -9. What is the remainder when (-14)\/(-21)*(5\/1 + -2) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 9*n - 6. Let w be h(-9). Let p be 2*1 - (-6)\/w. Let c be (-42)\/9*p*165. What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.401.\nAnswer: -1.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 - 7*i - 5. Let g be z(-4). Let s(d) = 16*d**2 + 49*d - 239. Let l be s(4). Calculate the highest common factor of l and g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44856*z - 52504 wrt z?\nAnswer: -44856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/16 - 3)\/(101\/115384). Let c = t + 1428. What is the closest to c in 0, -2\/13, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 110111010?\nAnswer: 110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-27 - (162 + -97))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -10259193?\nAnswer: -4\/10259193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**3 + 8614*k**2 - 66076*k - 27808.\nAnswer: 2*(k - 8)*(k + 869)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/48 + 4\/((-72)\/69)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**5\/10 - 25*f**4\/12 - 17*f**3\/3 + 3*f**2\/2 - 13*f + 120. Give i(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and 78 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -8. Suppose -4*t = 5*c - 23, -c - l*t - 7 = -6*c. Suppose 88 = 4*p - c*f, 2*p - 50 = 4*f - f. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 0 + 0)*(-2*t - 3*t + t).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -42\/4439, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -269\/3. Suppose -15*s = -22*s. Which is the nearest to s? (a) 1\/4 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4982, -4985, -4988, -4991, -4994?\nAnswer: -4997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39251882?\nAnswer: 2, 251, 78191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1001, 7434, 24889, 58874, 114897, 198466, 315089, 470274?\n\"Answer: 918*p**3 + 3*p**2 - 2*p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c**4 - 9*c**3*r**3 - 2*r**3 - 68*r wrt c?\nAnswer: -44*c**3 - 27*c**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.64841cm to meters.\nAnswer: 0.8364841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 4 (c) -1\/4 (d) -0.43693 (e) -2\/7 (f) 1\/5 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017453600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q*q\/q**(1\/4))**22)**(-17\/6) assuming q is positive.\nAnswer: q**(2431\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -17 (b) 0.005 (c) -2\/15 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*o + 18 = 23, 3*o - 3 = 3*p. Suppose -p*m = 1239 - 5307. What are the prime factors of m?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 833.838661 to the nearest integer.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288500 by 5.\nAnswer: 57700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 6. Let p = v + 21. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49511593 divided by -2?\nAnswer: 49511593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -117, -107, -111, -135, -185, -267?\n\"Answer: -c**3 - c**2 + 20*c - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4126094 divided by -49\nAnswer: 84206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 39. Calculate the smallest common multiple of a and -7 + 12 - (-2)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthihwwwttiwrh. Give prob of picking 1 r and 1 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190341964.\nAnswer: 2, 29, 1640879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 136422976.44 to the nearest one million.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -671*g - 319005. Give i(-476).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64400539 rounded to three decimal places?\nAnswer: 1.644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/15)\/(((-42)\/49059)\/(-7)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -638522.\nAnswer: 23\/638522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*k + 15, -5*n + 577 - 595 = 4*k for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 46 - (-6 + -1 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 0*p - 2 + 2 as b*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197526 divided by 598763?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (((sqrt(20)\/(sqrt(4) + sqrt(20)\/sqrt(5)) - sqrt(5)) + sqrt(5) - (sqrt(245) + 1)) + -4)*6 + 2.\nAnswer: -39*sqrt(5) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*d + 5*v + 22, -d = -4*v - 41. Solve -7 + d = 18*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -131121640 (base 7) to base 16\nAnswer: -7fcc39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7206690457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3 + 3362*p**2 + 3235116*p + 661018392 = 0.\nAnswer: -1542, -278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234493.\nAnswer: 13, 94961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(-99))\/((-2)\/(-2284)). Let g = w + -127. Put g, -1\/2, 0.3 in decreasing order.\nAnswer: 0.3, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (808 + 402 + 1203 - 564 + 641)*(2*o**3 + 6*o**3 + 0*o**3).\nAnswer: 19920*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 32 = -y - 3*m, 3 = 3*m. Let p = -18 + y. Solve -5 = -0*r + r, f = 2*r + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = -0*u + 4*r, 0 = -5*u - 4*r - 11. Let v = -1064.587 - 2.413. Let d = v + 1066. Which is the third biggest value? (a) -19 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872)*-4 + 3 + -1.\nAnswer: -36*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 49 - 16 = 0. Let s(u) = -u + 1. What is the tens digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16396 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 379665 divided by 8437?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 150 + 1b83942?\nAnswer: 1b83a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9150 and 4.1.\nAnswer: -37515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26\/15, 5, -1\/6, 8?\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 18 = -3*m. Solve 5*w = 2*z - 17, 0 = -8*z + 4*z - m*w - 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -784385000 minus -0.046?\nAnswer: -784384999.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Product of 2091 and 0.4.\nAnswer: 836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 36. Solve -3*g**3 - g**z + 2*g**5 - 3*g**5 - 17*g**4 + 14*g**4 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3074513, -3074511, -3074509?\nAnswer: -3074507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -97. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041 divided by -3?\nAnswer: -6041\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**3 + 11 - 6 + 6 wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6624\/(-240))\/46*140\/66.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.52 - 6.5176. Let f = l + -3. Round f to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444 (base 7) in base 11?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -0.4, -0.966, 5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-213)\/(-6)*(-26 - 1). Let t = l - -990. Calculate the common denominator of (-65)\/16 + 2 + 1 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 - 4*w - 4 - 2*w**2 + 5*w**2 - 2*w**2 + w**3. Let x be d(-6). Calculate the highest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 66?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*z - 71*z + 84. Suppose -5*c - w = -11, z*c = 2*c + 5*w + 3. Solve 4*s + 6 - c = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -19. Suppose 3*g = i, 0 = -3*u + 4*u + 5*g - 19. Suppose -u*x + 3*o + 204 = o, 220 = 4*x + 2*o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -21. Let x = 1 + 2. Let m = x - s. Put m, -1\/2, 4 in decreasing order.\nAnswer: 4, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2 - 1160\/(-35)) + (-2)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**3 - 2773*a - 2776*a + 8324*a - 2775*a.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**(-2)\/(j**(5\/8)\/j)**32 assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/300 - c**4\/10 - 3*c**3\/2 - 1169*c**2. Factor w(n).\nAnswer: (n - 15)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4505 take away 0.57785806?\nAnswer: -1.02835806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6395 and 22232857?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose 29 = 2*v + 3*q, v - n*q - q - 34 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 129?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 1068*n**4 + 284085*n**3 - 572450*n**2.\nAnswer: n**2*(n - 2)*(n + 535)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 395*r - 414*r + 133 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29752088827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89055173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/205884 and -23\/749322?\nAnswer: 64441692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:01 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k + 2*k. Let o be 53 - -3*3\/k. Suppose 2*b - l - 37 = -11, -4*b + 3*l + o = 0. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 181845345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.242 - -0.758. Put -0.1, -6, v in decreasing order.\nAnswer: v, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50\/3 (b) 17079 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40710 or -40714?\nAnswer: -40714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 281141*l.\nAnswer: -l*(l + 281141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/2 - 2*i**2 + 5. Find the second derivative of c(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j - 2*j)*(1 + 1 - 1) - 58682 + 29324 - 8*j + 29305.\nAnswer: -9*j - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 4966522?\nAnswer: 4966522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2*2\/(-3)*(-6)\/12. Calculate the greatest common factor of 2677 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*f = 1219 - 3028 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7136 divided by 2?\nAnswer: -3568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -2130?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*a - 38507 - 10556 = 6892 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 5*v**7\/6 + 11*v**6\/2 - 157*v**5\/4 + 1015*v**4\/12 - 85*v**3 + 40*v**2 + 65*v. Factor o(p).\nAnswer: 5*(p - 1)**3*(p + 8)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1114920*n**3*q**3 + 182*n**3*q**2 + 178*n**2*q**3 - 243*n*q**3 - 1621*n wrt n.\nAnswer: -6689520*q**3 + 1092*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z + 18*z + 186*z + 132*z.\nAnswer: 392*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.4 and -381.\nAnswer: 2057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 24, 4, -10, 1.\nAnswer: -10, -4, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 23*y**2 + 102*y + 18. Determine w(15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101 (base 3) in base 9?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*o - 309, 0 = -3*o - 2*q - 37572 + 37385 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2051271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20860 times 339\nAnswer: -7071540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.72 + -44.88. Let l = -2.6 - -60.6. Let t = l + u. Which is the fourth smallest value? (a) 0.5 (b) t (c) 5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1317 - 2575\/2. What is the common denominator of c and -21\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1040, 13321, 33790, 62447, 99292, 144325, 197546?\n\"Answer: 4094*u**2 - u - 3053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 69970?\nAnswer: -63\/69970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2 + 9 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 2*q = -11*c + 1337, -c - q + 1346 = 0. What is the remainder when c is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 24*14\/56. Is q bigger than 1\/6898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Solve 2 = -2*q + r + r, 5*q + g = 2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 1826 = 1952 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b9 (base 12) to base 5.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 2570?\nAnswer: 185040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = 4*r - 6, -3*k + 3*r = 21. Let c(h) = -h**3 - 3*h**2 - 3*h - 4. Let w be c(k). Put 3, w, 4 in ascending order.\nAnswer: 3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15301 - -40424?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3424841, -1, 8 in ascending order.\nAnswer: -1, 8, 3424841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1093920508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let f be w(3). Let m(l) = l + 3. Let h be m(f). Is h not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162 + 786 + 1648 - 519 + 624)*(0*z + z - 2*z).\nAnswer: -2701*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**5\/45 - 13*u**4\/6 - 80*u**3\/9 + 1151*u**2. Factor o(d).\nAnswer: 4*(d - 40)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/2 + (-4 - -9). Which is smaller: p or -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2668.1 - -2688. Put -4, a, -2, 0, -2\/11 in increasing order.\nAnswer: -4, -2, -2\/11, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-2 - -4) - (-11 + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from kcpvpppcvv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11 - 6*v + 3*v - 11. Let l(u) = u. Determine -2*a(s) - 9*l(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 + -0.37. Let n = -0.3 + 0.8. Let r = 1483.4 - 1483. Which is the nearest to -5? (a) z (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -99, 4, -21\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 31. Let k(p) = 248*p**2 - 3*p - 2. Is k(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270887 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31002 (base 5) to base 3\nAnswer: -2202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 16*p**2 + 28*p - 95. Give q(-13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -l, 4*j - l + 6 = 66. What is the remainder when 40 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*c - 4, -8*c + 3*c + l + 13 = 0. Suppose i = -c*i + 18. Put -3, -1, i in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*c - 10, s + s = -3*c + 25. Suppose -4*w - 5*u + 81 = -40, -c*u + 92 = 3*w. Suppose 5*r - 1 - w = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:38 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + 13. What is b rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11275 and 345425.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8107 - 241*t**3 - 160*t + 8107 wrt t?\nAnswer: -1446*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -244\/5. Let n be 2\/(-3)*(-6)\/(-7). Sort -3, h, n in decreasing order.\nAnswer: h, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.638 + 0.548. Which is the nearest to h? (a) -5 (b) 0.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/180*0*1. Let n(p) be the third derivative of 24*p**2 + 0 + 3\/2*p**4 + 0*p**3 - 1\/20*p**5 + q*p. Find the second derivative of n(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 2*m + 5. Let d(i) = -i**2 - i. Let j(n) = n + 7. Let z be j(-6). Let o(l) = z*t(l) + 2*d(l). Is o(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i - 4. Let g(n) = n**2 - n + 18. Calculate the smallest common multiple of b(-5) and g(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3943, -3939, -3933, -3925, -3915, -3903?\n\"Answer: g**2 + g - 3945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 486?\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2252.01064 and -133.\nAnswer: -2385.01064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g - 16*g + 5809663 + 2064590 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 4:00 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2*i + 2*i - i)*(0*i + 0*i - 2*i**2) + (2 - 2 + 2*i**3)*(-1 - 1 + 1) - 3*i**3 - 2*i**3 + 9*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378 + 385. Let n = 41 + -22. Solve f*b + n = -2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ene.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.93 - 12. Let g = 99196.9 + -99197. Which is the nearest to 1? (a) y (b) g (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 25 = 41*z - 36*z, -4*z + 20 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3907*r + 3906*r - 12 = 3*y + 21, 0 = 5*y + 3*r + 51 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-376)\/24 + 7 + (-4)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/17 - 4280928*l\/17 + 2290793067648\/17 = 0. Calculate l.\nAnswer: 1070232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 at most 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(832) - (sqrt(832) + -1)*2)*-4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from cclccclclcccll.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49362669 divided by 16454223?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.144 from 0.5.\nAnswer: -7.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(32\/(-3))*1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b + 64 = 0. What are the prime factors of 2\/(-7) + b\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -861, -1671, -2481, -3291?\n\"Answer: -810*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -37. Let z be 1\/(0 - -1)*(0 + a). Let s be (-1 + 0)\/(z\/(-3)). Solve -p - 4*p - c = -s, -4*c + 12 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - -8) + -123 + 126.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/11 + 18*h**2\/11 - 30*h\/11 + 14\/11 = 0. Calculate h.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 3:55 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47137 divided by -704\nAnswer: 47137\/704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.5, 13, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -3*y. What is the units digit of (2 - 1) + y + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 60 - 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2540541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 9. Let x = -61 + 63. Put x, 0.4, -1, u in descending order.\nAnswer: x, 0.4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**5\/30 - k**4\/24 - 13*k**2 + 20. Let w(y) be the second derivative of o(y). Let f(g) = g**2. Calculate f(w(s)).\nAnswer: 4*s**4 - 4*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 85 = 5*r - 5*g, 3*r = 4*g + 28. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38758.95 millimeters to micrometers.\nAnswer: 38758950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 268 - 740. Let z be (-10)\/(-6)*f\/(-120). Let h(t) = t**3 - 3*t**2 - 2. Give h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 203*n**3\/3 - 2*n**2 + 1311*n - 9. What is the derivative of c(z) wrt z?\nAnswer: 406*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*a - 3*a. Find the third derivative of 87 - 87 + a*u**2 + 6*u**3 wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**25*d\/d**8*(d\/(((((d*d**(-24)*d)\/d*d)\/d)\/d)\/d))\/(d\/(d**(-1\/21)\/d*d)))**(1\/29) assuming d is positive.\nAnswer: d**(902\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.2219 times 0.1?\nAnswer: -4.52219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 0 + 2*69. Suppose 0 = 10*k + 41 - d. Calculate the smallest common multiple of 15 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/4? (a) -1\/6 (b) -1421 (c) -0.3 (d) -2\/7 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0)*(4*j - 3*j + 2*j) + ((-3 - 3 - 1)*(-2 - 1 + 4) + 3 - 6 + 1)*(-8*j**2 - 2*j**2 + 0*j**2).\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6722*f**3*l**2*p - 2*f**3*l*p**2 + 10*f**2*l**2*p**2 + 18*f**2*l**2 + 43*f**2*l + l**2*p wrt f?\nAnswer: 40332*l**2*p - 12*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6934 - 7079.31. Let z = r - -137. What is z rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7173.336ml in litres?\nAnswer: 7.173336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3276616 - -4?\nAnswer: 3276620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (100 - (-106 - -58))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29\/43 + -1\/129. Let i be -2 - (-8 + -2 - -4). Suppose 2\/3*k - 4\/3*k**5 + a*k**2 + 0 - 2*k**3 - 10\/3*k**i = 0. What is k?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -595*b - 3*v - 4153, -5*b - 43*v + 48*v - 10 = 45 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**4 + 0*j**4 + j**4)*(-2996 + 347 + 497) + 2*j**3 - 10*j**4 + 4*j**4 - 2*j**3 to r*j**3 + i*j + q*j**4 + b + x*j**2 and give q.\nAnswer: -4310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 20 - 18\/(-6). Let i(z) = z + 18. Let q be i(y). Solve 5*f - 6*g = -g, q*g = -f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**18\/u)\/(u\/(u**10*u))*((u*u**(-5))\/u)**(-2\/31) assuming u is positive.\nAnswer: u**(847\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = 3*x + 4*i, -3*x - 3*i + 15 = 0. Suppose -2*m + 2*f + 84 + 150 = 0, -4*f = -x*m + 351. Is 8\/(-20) + m\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let h(q) = -3*q + 16. Let p(u) = -2*h(u) - 4*x(u). Let r be p(18). Let g = 19 + -4. Solve -r*a = -g + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Let x = d - 2. Let z = -1.01 + 0.01. Sort 3, x, z.\nAnswer: z, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -59?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - a + 5*a - 6 = 0, 2*g - 6 = 4*a. Let w be ((-2)\/(-4))\/(-1)*(-1038)\/g. Suppose -5*y + w = 4*p - 129, -5*y + 4*p + 318 = 0. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.308472um to centimeters.\nAnswer: 0.0001308472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14850 - -78340. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63273 is divided by 65.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 5*g. Let d = -32 + 27. Let l(u) = 3*u**2 + 6*u. Calculate d*l(k) + 6*p(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(2\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*5\/(-30)*(-5)\/((-25)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/5*125\/20*292\/146?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m - 0*m. Sort 3, m, -19 in descending order.\nAnswer: 3, m, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 3714*r - 12512385.\nAnswer: 3*(r - 2753)*(r + 1515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46.93518 centimeters?\nAnswer: 469351.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*x = -x - 20, 0 = -3*h - 3*x - 15. Let u = h + 2. Find the third derivative of n**4 - n**2 + 2*n**u - 4*n**2 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3.8. Let f = w + -0.1. Let n = -795\/7 - -114. What is the nearest to f in -0.3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zezauauevivuzz. Give prob of picking 1 i, 1 e, 1 u, and 1 z.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4211, 3004, 999, -1804, -5405, -9804?\n\"Answer: -399*y**2 - 10*y + 4620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -28*m + 17. Suppose 2*c - 14 = -38. Let n be i(c). Suppose 2*l - 5*k = n, 5*l = 9*l - 3*k - 741. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - (118 + -259 + 130)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7214440 divided by 1442888.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 4761*i**2\/2 + 1891305*i\/2 - 1886547\/2.\nAnswer: 3*(i - 793)**2*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/7*(-12)\/(-25). Let t = g - 4. Let i = 89\/72 + -9\/8. Which is the second smallest value? (a) i (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 - -551353?\nAnswer: 551203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsssswswwss. What is prob of picking 4 s?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*-3*20\/(-105).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -27. Solve 2 = -j*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 22. Suppose 5*h + 31 = 3*k + 9*h, 3 = k + 5*h. Let f be g(k). Differentiate -4*s - 7*s + 7*s + 1 - f*s wrt s.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**5 - 894*h**4 + 66600*h**3 + 894*h**2 - 66603*h = 0.\nAnswer: -1, 0, 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.045544314 + -0.04554. What is c rounded to 7 dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/(-21) - (-28)\/49. Let n(r) = 0*r - p*r - r - 1 + 16. Is 24 a factor of n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000066626 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 4*m + 16. Let s = -78 + 67. Let k be v(s). Let t = k - -486. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.62232km in nanometers?\nAnswer: 17622320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + -3. Suppose 2*c - 30 = -3*r - 2*c, -5*c = 2*r - 27. Suppose -4*k + 5 = -5*b, -4*b = r*k - k - 37. What is the second smallest value in k, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(500))*6)**2 + -4 - ((sqrt(500) - (1 + sqrt(500)))*-1 - 2*-1*sqrt(500)).\nAnswer: -20*sqrt(5) + 17995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275501 is divided by 13589.\nAnswer: 3721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -117474, -27, -2 in descending order.\nAnswer: -2, -5, -27, -117474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -29 + (-3 - (-7 + -4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 take away 1.05?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10979600 to the nearest 100000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27801, -55621, -83439, -111255, -139069, -166881, -194691?\nAnswer: -222499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4147 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 5*b + 2. Let j be 42\/9*(-12)\/(-14). Let d be u(j). Let w be (d - -1) + 1 - -2. Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068*q**2 - 1068*q**2 + 7*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73 - 168 - -67) + -18.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1299 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*h + 0)*(0*h + 0*h - 3*h)*((-h - 1 + 1)*(-2 - 2 + 5) + h + h - 3*h + 6*h - 3*h - 8*h)*(5 - 2 - 4)*(-1 + 1 + 1)*(-1 + 5 + 3).\nAnswer: 441*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -13. Let i = 32 - m. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 5 + 8*h + 5. Let d be a(-6). Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -1.26. Let x = 938 + -938.25. Let j = y - x. Which is the second biggest value? (a) -4 (b) j (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 149*b - 18982. Determine m(127).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 7 + 2, 2*q = 3*k - 2339487. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-1*sqrt(48) - sqrt(3)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 times 182?\nAnswer: 15470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-510)\/34*(3 - (-374)\/(-85)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + z = -1, 5*v = 2*z - 0 + 2. Let j be (-2 - -2) + (-2)\/(-6). Which is the closest to v? (a) 5 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Suppose a*z = -0*z. Suppose z = -3*v + 8 + 7. Solve 0*i + 13 = 4*i + 5*f, 5*i - v*f + 40 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*x**4 - 5*x**3 - 5*x**2 + 277*x wrt x.\nAnswer: -768*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45714?\nAnswer: 2, 3, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*x + 1 = -6*x, 0 = -3*x + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(6\/18824). Let j be 5\/4 - (-308)\/176. What is the third derivative of 4706*g**3 - o*g**j - 41*g**2 + 2*g**4 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 2655\/(-441))*7. What is m in 32\/7*m - 8\/7 - i*m**2 + 38\/7*m**3 - 2*m**4 + 2\/7*m**5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 17*b - 5. Let d = 64 + -63. Let a be j(d). Suppose 5*o + a - 92 = 0. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and 52?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2926949 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.1, 3\/7, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (163 + 151 - 154)*(-3*r + 6*r - 2*r) to z*r + v and give z.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/2501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 + 0 - -1 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s. Let b(x) be the third derivative of 421*x**4\/24 - 2*x**2 + 1092*x. What is l(b(m))?\nAnswer: -2947*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -2. Let y = 0.3 - s. Let q be 1\/2*6\/1. Which is the nearest to -2? (a) -6\/7 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/5 - t**2\/5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3045)\/957)\/((-12)\/132).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1091 + 358. Let j = 738 + y. Sort -5, -21, -4, j.\nAnswer: -21, -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**3 - d**2 + 6*d - 7. Let i be t(2). Let h = i - 119. Let z(v) = 18*v**2 + v**h + 3*v**2 - 3*v**2. Calculate z(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 1, a: 6, l: 3, u: 3}. Give prob of sequence uull.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5887 = -5*w - 0*w - h, 6 = 2*h. Let f = w + 2246. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 0, -41, 8, 4, 3, 29 in ascending order.\nAnswer: -41, 0, 3, 4, 8, 29, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8781.\nAnswer: 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/11, 0.8, -0.1, -1\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/60 + 7*d**4\/4 + 20*d**3\/3 - 627*d**2. Factor l(j).\nAnswer: -2*(j - 5)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-12))\/(5\/(180\/(-16))). Calculate the remainder when -4*((3 - z) + 94\/(-8)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v = 15*v - 323076. Is 110 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**6 + 4*s**2 + 0*s**2 - 10*s**2 wrt s?\nAnswer: -1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 29791*h + 2883\/2*h**2 + 1\/4*h**4 + 112 + 31*h**3. Suppose z(w) = 0. Calculate w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4853 and 3376.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w - 2. Let n(v) = v**3 - 6*v**2 + 5*v + 3. Let b be n(5). Let f(u) = -u**2 - u + 2. Let s be f(b). Let z = s + 6. What is r(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23922839 by 84533.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.3, -3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106\/5 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 30*m**2 + 2*m - 1. Let h be d(1). Let p = h - 24. What is the least common multiple of p and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3812922 - 5207919. Let a = h + 5020841. Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -183? (a) 2 (b) 9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4653 + 4652.8. Which is the fourth biggest value? (a) x (b) -13 (c) 2 (d) -1\/37 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 86. Sort -3, q, 30 in increasing order.\nAnswer: q, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - x + 50*x = 680. Solve -x*b + 5 = 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d - 35 = -50*d, 4*o - d = -23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 7*b - 28. Suppose -193 = -46*d + 313. What is p(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 + j + 8. Suppose -10 = 2*c + 20. Let n = 9 + c. Let k be o(n). Solve 2*z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 3*f - 4. Let d be (-82)\/(-26) - 2\/13. Is l(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/297 and 52\/2245869.\nAnswer: 74113677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 3198c8?\nAnswer: -3198ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1144843.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3274, 12935, 28982, 51415, 80234?\nAnswer: 115439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 2*l + 1. Let s be p(-3). Put -0.2, s, 1 in increasing order.\nAnswer: s, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/(((-36)\/20)\/3). Which is the third biggest value? (a) n (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/8 + 13*f**3\/3 - 10*f**2. Let b be l(-8). Suppose -c - 905 = -t + c, 3*t + b*c = 2715. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 11*y + 21)*(-2 + 11 + 0)*((1 + 2 + 0)*(-3*y - y + 0*y) + 2 - 2 - 3*y).\nAnswer: 1485*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.001 - -4.999. Which is the biggest value? (a) -54 (b) -3 (c) -5\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*v + 6. Let w = v - -12. Let m(q) = -3 + q - 3*q**3 + 2*q**3 - q**2 + 2. Let k(p) = 8*p**3 + 6*p**2 - 6*p + 8. Give w*m(y) + k(y).\nAnswer: 2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 71 = -29. Sort 5, b, -5, -90.\nAnswer: -90, -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66201.2 + -73905. Round d to the nearest 100.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m - 3. Let p be n(1). Solve -p*b - 8 = -4*a, -36 = -2*b - 3*a - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70074718.7 rounded to the nearest one hundred thousand?\nAnswer: -70100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -63*z + 4667. Let n be f(74). Solve -n*x + 34 - 9 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -122. Let x(b) = -55 + 102 - j - 2*b. What is x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*c + 18 = -c, 3*c = 9. Suppose 0 = -b + k - 154996, -3*b = -u*b - 5*k - 465020. What is b rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.989856 to 3 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m**(-1)\/m)\/((m\/(m**(-2)*m))\/m**(-5\/6)) assuming m is positive.\nAnswer: m**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 45. Suppose t - 22 = h, 2*h - 4*t = y*h + 56. What are the prime factors of (-8)\/(-28) - h\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - (7 + -13)) + (34 - 42)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.166, 5, 1, -2\/9, -2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 9. Let g be v(-6). Suppose h + 2 = g*j, -4*j + 3 = 5*h + 13. Suppose 5*k + 0*k + 4*q = j, -q = -5*k + 25. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxpppxxxpxxxpppxxpp. Give prob of sequence pp.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -10.1. Let s = -0.7 - d. Let q = -95\/404 + -3\/202. Which is the closest to -0.1? (a) 1.5 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40095)\/(-27702))\/((-13)\/(-494)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 + 7*q**2 + 7*q**2 to b*q**2 + z + s*q and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/17 - 20015534*u\/17 + 40031060\/17.\nAnswer: 2*(u - 10007765)*(u - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1042149111 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25.99974. Round i to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -91. Suppose -3*d - f*d = -56. Let p(r) = r**3 - 5*r**2 - 4*r + 18. Let b be p(7). What is the highest common divisor of b and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 9*y + 17. Let n(x) = 2*x**2 + 18*x - 35. Let r(j) = -13*l(j) - 6*n(j). Let u be ((-5)\/1)\/(21\/42). Let i be r(u). Which is smaller: -3\/2 or i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 71. Let w = -29 - -5. Let j = w + p. Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -k - 29321, 0 = 5*h - 42*k + 40*k - 36649. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3896 - -19400. Calculate the greatest common factor of x and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5 - 30. Let g = v - 1. Find the third derivative of 2*j**g - 20*j**5 - j**2 + 20*j**5 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*i = -697*i + 61*i - 53815 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -33 + 4 - 5 + 35*b. Suppose -12*j = 6*j + 90. Let p(t) = 52*t - 51. Let h(g) = j*p(g) + 8*u(g). Let m(k) = 7*k - 6. Calculate 6*h(n) - 17*m(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 6*z**2 - 5*z + 1. Let m be g(5). Put m, 0, -4 in increasing order.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1145*w = j + 1150*w - 53102, 0 = 5*w - 20. List the prime factors of j.\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-49))\/((-3)\/21*1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-137 - -131)\/(-2*2\/432)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.0549\nAnswer: -0.02196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2256*m**3 + 2259*m**3 + 893*m**3 + 2258*m**3 + 2252*m**3 - 9916*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -23*g**4\/12 + 23*g**3\/6 - 10*g**2 + g. Let b(s) = 8*s**2 - 3*s + 2*s + 7 - 8*s + s. Determine -17*b(l) - 6*v(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2663074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let a be p(2). Let c be (0 + (-33)\/2)*a. Suppose g + 4 = 0, g - c = -5*w + 18. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or 15278719?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/44 and 16\/(-40) - 379\/140.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -54 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Find the first derivative of 36 - x + 4 + 11*q wrt q.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.132 rounded to zero decimal places?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -701.89 - -694. Let k = l + -0.11. Let j = k + 5. Which is bigger: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 513 - 505. Solve -g = h*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4. Let f(u) = -u + 1. Suppose -3*n + 19 = 10. Calculate n*f(d) - x(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 426085460 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sugs when four letters picked without replacement from {d: 4, g: 3, s: 4, c: 1, u: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/168 and 83\/317880?\nAnswer: 2225160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o**2 + 17*o - 220. Is 28 a factor of j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 158*w**2\/7 - 870*w + 49050\/7.\nAnswer: 2*(w - 15)**2*(w + 109)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 418 and 56316.\nAnswer: 56734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6348 + 6348 - (3 - (0 + (1 - 0)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9540*-1511.\nAnswer: 14414940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*q + 39690 = -182*q. Is q at most -881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41146*x**2 + 41156*x**2 + x - x.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 17 = -2*r, 2*r + 3*p - 3 = r. Let i = 16 - r. Let x(c) = c**3 + 4*c**2 + 4*c + 2. What is the smallest common multiple of x(-2) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/17 - 48*h**3\/17 + 10*h**2 - 12*h + 80\/17 = 0.\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 14*n + 16*n + 10 = 0, 3*n - 25 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13705, -58402, -134095, -240784, -378469, -547150?\n\"Answer: -15498*u**2 + 1797*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/5))\/w*w)**(-44)*w**(2\/9)*w**(-2\/17)*(w**(-3)*w**(2\/15))**37 assuming w is positive.\nAnswer: w**(-101257\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f + 4. Let w be u(1). Solve -2*a - 5*p - w = a, 0 = 2*p + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-48)\/28 + 14\/(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -68*w**2. Let d(u) = -11*u - 5. Let i(j) = 2*j + 1. Let k(a) = -d(a) - 5*i(a). Give q(k(z)).\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 7*z - 5. Let m be c(8). Solve 0 = 2*h - m*b - 0 - 5, -5*h + 4*b + 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 7*d**2 + 5*d + 3. Suppose -8 = 5*p - 3*p. Let f be h(p). Let j = 50 - f. What is the remainder when 36 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 11) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1080*a**2 + 15*a + 15. Does 40 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30675, 35, -1\/3 in descending order.\nAnswer: 35, -1\/3, -30675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.248971 hours?\nAnswer: 896295.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 329 + (-3 - -4). Suppose 5*t - i = 111. Suppose 2*z - 59 = -4*a + 3, -z = -5*a + t. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11016 and 17?\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-36)\/(-530536)) + -35 + 32 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 0*o**2 + 0 - 7*o - 3*o**3 - 1 - o**2 + 0. Let c(s) = 0 - 4*s**2 + 1 + 2*s**3 + 5*s + 5*s**2. Determine 5*b(l) + 7*c(l).\nAnswer: -l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*g + 5055, g + 3*b - 1388 + 381 = 0. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 - (9 + -18) - (772 - 762)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055604172 to five dps.\nAnswer: 0.0556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**3 - 670*u**2 - 26. Let j(a) = -5*a**3 + 335*a**2 + 12. Calculate -13*j(b) - 6*s(b).\nAnswer: -b**3 - 335*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4)*m)\/m*m**1*m*m*((m\/m**(-1)*m)\/m)\/(m*m**0))\/((m**(-3\/8)\/m*m)\/(m*m**1*m*m*m)*(m\/(m*m\/m**(-3\/2)*m*m))\/m**5) assuming m is positive.\nAnswer: m**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17339.085 months?\nAnswer: 1444.92375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 - -209. Suppose -p = -4*z - 47, -r = 2*p - 12. Which is the second biggest value? (a) 3 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -a + 2*a, -4 = -4*v - 4*a. Suppose -2*g - c + 40 = 8, -v*c = -4. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -675, 63, 2, 39, 0 in increasing order.\nAnswer: -675, 0, 2, 39, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Suppose 773 = r*a - 377. Round a to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 26. Suppose -5*g - 2 = -z. Let p = 4 + 1. Calculate the remainder when p is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -655, -1466, -2271, -3070, -3863?\n\"Answer: 3*s**2 - 820*s + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80422 and 26748968.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r + 2. Suppose 0 = j - 0 - 2. What is the smallest common multiple of j and b(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d + 3. Let u be z(-2). Let k(l) = -2*l + u*l - 3*l. Let j(n) be the first derivative of -n**2\/2 + 15. Calculate k(j(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 2*y**2 + y + 2. Let h(p) = 7*p**3 - 5*p**2 - 2*p - 5. Let n(t) = t**3 + t + 4. Let b be n(0). Determine b*h(f) + 10*i(f).\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8088611 - -4403555. Let y = 1945056 + z. Round y to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57834 and 57834.\nAnswer: 57834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 112144, 5, -5, -4, -2 in decreasing order.\nAnswer: 112144, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9491*b**2 + 1. Let q(z) = z. Give a(q(g)).\nAnswer: 9491*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -42 + -8 - (21 - 35)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -10011111101010100101100110?\nAnswer: 10011111101010100101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) + ((-7)\/(-28) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let t(o) = -o. Let y(u) = 3*p(u) + 4*t(u). Let q(i) = 6*i**2 - 85*i**2 - 3*i**2 - 62*i**2. Calculate y(q(z)).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**5 + 2*q**4 - 11*q**3 + 4. Let b(w) = -w**5 + w**4 - w**3 + w**2 + 1. Let l(x) = 4*b(x) - c(x). Find p, given that l(p) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-18) - (-1206)\/468.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 1509 + 25 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 13406545?\nAnswer: 13406543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2 and 37\/24690?\nAnswer: 24690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 45770?\nAnswer: -45769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3)*(5*d - 3*d - d) - 3*d + 0*d + 2*d + 26 + 13*d - 26 + (-2*d - 1 + 1)*(-3 + 2 + 2) as i + n*d and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 33, 22, 7, -12, -35?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 6) to base 7\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -172*j**2 + 8. Let l be i(2). Calculate the common denominator of -34\/11 and ((-1717)\/l)\/((-1)\/(-4)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -3*d + 45 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.32 and -6.5.\nAnswer: 34.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*h = 158*h - 528. What is the remainder when 194 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-58)\/580 - 6851\/(-10).\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866*u**3 - 849*u**3 - 5*u + 1713*u**3 - 12*u - 5*u.\nAnswer: -2*u**3 - 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 6*w + w + (1 - 1 - 3)*(-2*w + 0 + 0) + 2*w + 0 + 0 + 3*w - 5*w + 0*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**2 - 53*k - 37. Calculate t(-11).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y - 3*y. Suppose 26 - 6 = y*i. Are 5 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:48 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27444451 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzzzztztzt.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10805 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14927*d. Let p(l) = -4*l**2. What is p(n(j))?\nAnswer: -891261316*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) - sqrt(11)*-1) + sqrt(55)\/(sqrt(30)\/sqrt(6)))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let x = h - 3. Which is the closest to -0.1? (a) -0.4 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3272\/905 + -220\/181. What is t in 12\/5*t + c + 3\/5*t**4 - 9\/5*t**2 - 6\/5*t**3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 - 118. Let h(r) = r**3 - 14*r**2 + 13*r + 12. Let x be h(13). Suppose x*w - 248 = 4*w. Calculate the remainder when f is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**5\/20 + 5*q**4\/12 - 4*q**3\/3 - 4*q**2 - 3*q + 4. Let b(r) be the first derivative of f(r). What is b(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256584.\nAnswer: 2, 3, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1537 + -1533. Let g = 32 + -32.5. Which is the closest to p? (a) -4 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/60 + 7*j**4\/24 + 2*j**3\/3 + 10*j**2. Suppose 3*h + 16 = 1. Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 20. What is the nearest to -2 in x, -3, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -105?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/99499 and -37\/803.\nAnswer: 1094489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -r + 4*r. Let b be (3 - r) + (22 - 26). What is the tens digit of 115*(-4 + 3)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.233 - -0.767. Which is greater: q or -0.21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7191, 7193, 7195, 7197, 7199?\n\"Answer: 2*p + 7189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q - 73. What is the remainder when r(12) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317057833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632.8206 milligrams to micrograms.\nAnswer: 632820.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:02 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 30507*h\/5.\nAnswer: h*(h + 30507)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16)*1 + sqrt(16))\/sqrt(2) + sqrt(8) + sqrt(72)\/(sqrt(144) + sqrt(9) + sqrt(9)))*6 + (-2 + 0 + sqrt(242) + sqrt(242) + -4)*-3)**2.\nAnswer: -1008*sqrt(2) + 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3130 divided by 313.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -s + 2*v + 25, 12 = -3*v. Let k be s\/20 + (-4)\/60. Let d = 17\/4 - 7\/2. Which is the nearest to 0? (a) d (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/2 (b) -1\/8 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 25*l + 29*l - 57*l. Let n(u) = -4*u. Determine n(k(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1939059 = -96067. Let b = v + -289748. What is b rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74131 is divided by 260?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 102*s - 241. Let z be x(7). Let p = z - 470. Determine g so that 3*g**4 + 0 + 48\/5*g**2 + 12\/5*g + 51\/5*g**p = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/15 - 5\/(-3). Suppose 2*k + m*z = 16 - 2, 3*k - 29 = z. Solve -3*h + d + d - 9 = 0, -3*h - k = 3*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hav when three letters picked without replacement from {v: 4, z: 6, h: 1, a: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693225?\nAnswer: 3, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - 12*i - 2. Let s be g(-2). Solve -3*k - 3*v = -0*k, -k + s*v + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72)*1)**2*3 + -2*-2*sqrt(72) + ((1 + sqrt(72) + -5 - sqrt(72)) + sqrt(72) - sqrt(72))**2)*4.\nAnswer: 96*sqrt(2) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*a - 4 - 38 = 0, -39 = -2*p - 5*a. Let m = -4 + 4. Suppose m = -2*x - 2*x + 72. What is the greatest common divisor of p and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/2 - (-39)\/(-26). Suppose -i*b = -4*b - 364. Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5*m = 65, -11*x + 1 + 44 = -m + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2374*i**3*j**3*o - 4*i**2*o + 63*j**3 + j**2 - 2*j*o wrt i?\nAnswer: -14244*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 667) + (-3 - 0 - -6). Let p = y + 662. What is the nearest to p in -4, -42, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.421 and -64.2.\nAnswer: 155.4282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - j + 3, v + j - 12 = -3*j. Let b be 2 - (0 - 0 - v). Suppose 0*o = b*o - 20. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 - 3020*j**2 - 6060*j = 0.\nAnswer: -2, 0, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806335 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, s: 1, v: 1, f: 1, e: 3}. What is prob of sequence fu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1518193*d - 621369*d + 2001529*d.\nAnswer: 2898353*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(304)*1)**2.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013880121 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -d + 55, -4*w - 86 - 71 = -3*d. Suppose d*k - 52*k + 1360 = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (-4 - 7) - (102 - 141)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -755 + 757. What is the lowest common multiple of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.41, 0, 8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 - 5*r + 5. Let z(q) = -q**3 + 2*q**2 - 2*q + 2. Let p(h) = h**3 + 18*h**2 + 14*h - 57. Let o be p(-17). Calculate o*g(j) + 15*z(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280595 divided by -5.\nAnswer: 56119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovo when three letters picked without replacement from vvvvoovvovvvvvoo.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 1\/3, 1 in ascending order.\nAnswer: -8\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4154 + -2?\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 3*k + 56 = 0, -k = 0. Let d(z) = z**2 + 15*z + 20. Let x be d(b). Sort 1, x, 2, -5.\nAnswer: -5, 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 3:42 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r**2 + 52960*r + 37266?\nAnswer: 6*r + 52960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*c - 0*c + 83, -4*c + 4*q - 80 = 0. Let f = c - -22. Suppose -3*s = 9 - 0. Sort -1, s, f in increasing order.\nAnswer: s, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h. Let s = 8 - 6. Let w be 207\/63 + s\/(-7). Let i(q) = 3*q - w*q - 4*q + 2*q. Calculate i(g(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 740 = 6*k. What is the derivative of 421*v + 4 - 419*v - 72 + k*v**2 wrt v?\nAnswer: 74*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 260273.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 734874.1 times 3\nAnswer: 2204622.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yflfyfy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**3 + 4*g**2 - 23*g + 53. Let p be l(4). Let k be 4\/10 + 2941\/85. What is the highest common factor of p and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1338102 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34314 and 3354.\nAnswer: 446082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4304843784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4488 and 651508?\nAnswer: 3909048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4270*m + 3195*m - 365364 = 699*m for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*a + 6, i + i = -3*a + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571934529 to the power of 1\/2, to the nearest integer?\nAnswer: 39648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 119, 205, 325?\n\"Answer: 17*i**2 + i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 13 = -3*n, -5*n + 2*h - 23 = h. Let q = -3 - n. Solve 7*j = q*j + 2*m - 11, 4*j - 2*m + 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Suppose -4*v + 3*y = 15, 3*v + 3*y = -t - 1. Let f be (3\/(-18))\/(v\/4). What is the nearest to -1 in f, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31042 or 31043?\nAnswer: 31043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlqlqflllqlqlq. What is prob of sequence llf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4806 - -5745. What is the remainder when j is divided by 232?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 93*q + 1235. Let k be i(-16). Solve -7*w = -18 - k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + 0*a)*(-3*a + 0*a + a) + 0*a**2 - 2*a**2 + 6*a**2 + 290 - 290 + 13*a**2 - 2*a**2 + 2*a**2 - 2*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*r + 12 = 0, 4*n - 3*r - 9 + 1 = 0. Let k be -1 + n - (-4)\/2. Solve 6*u - 3*u + 12 = k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*5\/(270\/(-12)). Suppose u = 4*h - u + 36, u + 14 = -f*h. Which is the nearest to -0.1? (a) 0.06 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 191?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58944?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 118 + ((-850)\/225 - (-4)\/(-18))?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let u(r) = 3 + 15*r - 2 + 0 - 2. Let y(n) = -n + 1. Let h(l) = -u(l) - y(l). Determine h(b(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 49, -0.13, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42977574?\nAnswer: 2, 3, 103, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*n**2 + 11 - 6 - 6 - 2*n**2 to the form r*n + h + m*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1274835311 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(156)\/sqrt(300)) + 2)*-2.\nAnswer: -8*sqrt(13)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 11*q - 5*q)*(-67*q + 47*q + 48*q).\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.23, -0.3, 4, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1243 + 13302553?\nAnswer: 13301310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + l**4 + (2*l**3 - 3*l**3 + 0*l**3)*(-l + 0 + 0)*(-6 - 4 + 11).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.8 + 4.2. Let i = -24.95 + j. Let d = -0.94 - i. What is d rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2. Let m(l) be the third derivative of -11*l**4\/24 - 9*l**2 - 3*l. Give p(m(t)).\nAnswer: -484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(133) - (sqrt(133) - (sqrt(133)*4 + sqrt(133) + sqrt(133)) - sqrt(133))) + sqrt(133))\/sqrt(7))**2.\nAnswer: -48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-r + 3 - 3)*(r + 5 - 5) + 2*r**2 - 3 + 3)*(0 + 0 - 16*r)*(r + 3*r - 2*r) to the form x + k*r + q*r**2 + y*r**4 + n*r**3 and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w - 2*w**3 - 51*w + 16*w + 22*w - 75 in the form h*w**2 + k*w + a + y*w**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.6426573 rounded to two dps?\nAnswer: -56.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5450241 divided by 1816747.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/5 - 130284*b**2 - 1302861*b\/5 + 1954278\/5 = 0. Calculate b.\nAnswer: -3, 1, 217142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 810745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1.2587 (c) -1 (d) -0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1148 * 1889\nAnswer: 2168572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1522 (base 9) to base 4.\nAnswer: 102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242759558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 633 + -747. Let z = -109 - j. Solve 2*w = -k - 0 - z, -5*w - 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from czpzvccyzycycvyzfv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + (1 - 0 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.7 (b) -29 (c) -2\/3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -786 equal to -786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u - 3. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18989*l**3 - 18979*l**3 - 18972*l**3 + 56945*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 0 - -12)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 15*a**2 + 2*a + 3. Let i(z) = -z**2 - z - 1. Let f(d) = 3*i(d) + v(d). Suppose 8*h - 25 = 3*h. Let b = h + -4. Calculate f(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21140 = 522*w + 82*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6324 rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.4240632 + -272.424128. Let x = 234 + b. Round x to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*k**4 + 35*k**4 - 1982*k**4 + (-3*k**2 + k**3 + 3*k**2)*(0*k - 2*k + 0*k) - 3*k - k**4 + 3*k + k**2 - 2*k**4 - k**2.\nAnswer: -1773*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1768\/85 + -20)\/((-54)\/(-30))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377114227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 1781341.\nAnswer: 78\/1781341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Let i be 48\/10 + 1\/p. Suppose 5*k - 185 = l, i*l = 3*k - k - 97. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77555035?\nAnswer: 5, 173, 89659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 168, -4, 1 in ascending order.\nAnswer: -4, -2, -1, 1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1321314 (base 7) to base 14\nAnswer: 4727b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x. Let l(h) = -5*h. Let n(r) = 2*i(r) + 3*l(r). Let j(d) = -9*d + 1. Give 2*j(w) - 7*n(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**4 + 3623*q**2 + 79*q - 22943097 wrt q.\nAnswer: -12*q**3 + 7246*q + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + -46849?\nAnswer: -46754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3520.535l to millilitres.\nAnswer: 3520535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + 5?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01160688 to 4 decimal places.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26679*s + 17 + 6 + 53582*s - 26903*s - 23 - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2402?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + a - 9. Let t(h) = -4*h**3 + h**2 - 2*h + 18. Give -7*s(c) - 3*t(c).\nAnswer: -2*c**3 - 3*c**2 - c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 123*s - 15. Is o(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 6. Let t(n) = -2*n + 5. Let p(l) = -4*b(l) + 3*t(l). Let r be p(-7). Suppose 0 = 2*f - r + 1. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n + 4, 0 = d - 4*n + 13. What is the units digit of 507*(4\/(-6))\/(2\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*b - 70. Put b, 1, 9 in decreasing order.\nAnswer: 9, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.28 - 1.3. Let v = o + 0.32. Let f = 2.4 + -2. Sort 1, f, v.\nAnswer: v, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2447, 4898, 7349?\nAnswer: 9800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(72))\/sqrt(3))\/((1*sqrt(48))\/sqrt(4)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z. Calculate f(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1797798913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304015 = 96*q - 126*q + 33965. List the prime factors of q.\nAnswer: 2, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*g**2*p**3 - g**2*p + 2*p**3 + 220*p wrt g.\nAnswer: 184*g*p**3 - 2*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14729221*x*z**2 + 12011*x*z + 6*x + z + 11 wrt z?\nAnswer: -29458442*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-91))\/(64\/1024*(-30)\/(-65)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-40)\/120)\/((-2)\/(-62))\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 4*t - 7. Let f be s(-5). Suppose l + 3*b - 12 = 0, -5*l = -b + 38 - f. What is the greatest common divisor of 108 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/7? (a) -8 (b) -3 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*(sqrt(243) - -5*sqrt(243) - sqrt(243)) + sqrt(243)*3 + 1)*2 + 0 + 1)**2.\nAnswer: 36504*sqrt(3) + 5913817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgbrbggggbrr. What is prob of picking 1 b and 1 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 48330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o - o**2 - 1\/60*o**5 + 1\/3*o**4 + 4\/3*o**3 + 0. Let g be s(7). What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 1\/4 (b) 3\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2)*(-20)\/(-8). Suppose -2*s = 3*r - 1, y*r + 5*s + 8 = r. Suppose -r*h = -0 - 15. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 356, 710, 1064, 1418, 1772?\n\"Answer: 354*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127553575 is divided by 1096?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -7*k**3\/3 + 6*k**2 - 10*k + 254. Let a(o) = -3*o**2 - 2. Let i(q) = 2*a(q) - f(q). Determine i(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(68) + (sqrt(68)*2*-5 - sqrt(68)) + 5)**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8207 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(-2*(sqrt(931) + 1) + 2) + 3 + (sqrt(931)*2 + -1)*-3)**2.\nAnswer: -357720 + 4032*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1102222 (base 4) to base 10\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 1. Let z be d(-1). Suppose 1 = -i, 0*i - 42 = -z*l + 4*i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/11 - 782*d**4\/11 + 36854*d**3\/11 + 18922*d**2 - 244212*d\/11 = 0. What is d?\nAnswer: -433, -6, 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = f. Let a be (3 - f - 1)\/1. What is the closest to a in -1, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-36)\/4)\/(-2). Suppose -b + m - 2*m = -2, -4*b = s*m - 6. Is b greater than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197792039 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11100010011001101000 (base 2) to base 8\nAnswer: -3423150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(1 + -4) + 1. Let l be h\/(-5) + (-11)\/9. Let n(g) = g**3 - 33*g**2 + 259*g + 22. Let i be n(20). What is the third smallest value in i, 3\/2, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1040 and 180.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 4935, 2, 14 in decreasing order.\nAnswer: 4935, 14, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 5*n, 0 = 5*b + 2*n - 3*n - 11. Solve 0 = -2*c + 4*q - 22, -10 - 6 = 5*c + b*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.11 - -186.89. Let j = 188.75 - l. Let m = -18 + 56\/3. Do m and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -6, 4\/5, -0.3, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 92719, 2 in increasing order.\nAnswer: 2, 3, 4, 92719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5814.44023 to 1 decimal place.\nAnswer: 5814.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (5*(sqrt(85)*-1 - sqrt(85) - sqrt(85)) - sqrt(85)))\/sqrt(5) + sqrt(187)\/(sqrt(539)*-2))**2.\nAnswer: 756857\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*u**2 + 120*u**2 + 112*u**2 + 5*u**3 - 341*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160151168 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)**(-49)\/(k**33*k**(5\/3)\/k) assuming k is positive.\nAnswer: k**(781\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/385 + 689\/3465. What is the nearest to 2 in 0.01, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*u = 21. Suppose -283 = -3*c + u*l + 101, l = 5*c - 628. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:23 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.04 - -0.199?\nAnswer: -23.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -53899200 divided by -7200?\nAnswer: 7486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -59 + 6 + (-2)\/4 - (-131 - -134). Which is the nearest to 6? (a) f (b) 4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-2 - 2) + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414a8b (base 13) to base 16.\nAnswer: 174266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5 - 54) + 2)*1. What is the smallest value in 2, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 2 o when four letters picked without replacement from {g: 1, i: 2, o: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001111 - -11?\nAnswer: -1110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -37, -52, -67, -82, -97?\n\"Answer: -15*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*h = 3404, -5*z - h = -3*z - 3412. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from {c: 5, l: 1, p: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 7.6, 14, 2\/29, 0, 0.2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 378379*p. Let b(a) = -5*a. What is b(m(w))?\nAnswer: -1891895*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*u)*(-267 + 150 - 116) to y*u + g and give y.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 4 = 4. Suppose -7*k + 250 + 3691 = j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: c3589 (base 13) to base 12\nAnswer: 14a861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -7.31, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -0.1, -3\/10, -1\/6, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffebrbm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, y: 1, t: 1, w: 2, m: 1}. Give prob of sequence my.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487074 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68510 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308098365 and 1668?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, z: 3, x: 2}. What is prob of sequence fzxf?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13010 (base 12) to base 14\nAnswer: -9644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:38 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 18*h + 8. Let d(t) = 28*t + 12. Let s(w) = 5*d(w) - 8*y(w). What is s(8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 5*g + 7. Let s be (-279)\/(-2)*(-10)\/(-15). Suppose -61 = -3*y + 3*z + g, -2*y + s = -3*z. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/9 - 29*h**2\/9 - 284*h\/9 - 65\/3.\nAnswer: (h - 13)*(h + 5)*(4*h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12880?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2782884676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -80*r + 82. Let g be q(1). Solve -1 = 4*d - 3*d - g*c, 0 = 4*d - 4*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - -26. Suppose 3*p - 81 = i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -36.6. Let l = 24 + n. Let c = l + 9.58. Round c to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msnnsknsfssnmmtftskm. What is prob of sequence stm?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35939 - 35939.5. Let g = -0.01 - 1.39. Which is the third biggest value? (a) -1\/5 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.03. Let s = -0.17 - g. Which is smaller: s or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 + 135*q + 63*q + 291 - 30*q + 70.\nAnswer: 168*q + 575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26800 + 26830 = -865*w for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:38 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16478*i = -322174 - 158280 + 42003 - 105323 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 10, 4 in ascending order.\nAnswer: -5, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Let m(h) = -3*h**2 + 15 + 2*h**2 - s - h**3. Calculate the remainder when m(0) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 3048844*n - 3048846 = 0. Calculate n.\nAnswer: -1524423, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j. Give f(6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 4. Let t be ((-154)\/(-2))\/(-15 + x). Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m + 5. Let g(f) = -f - 1. Let c(o) = -3*g(o) - x(o). Differentiate c(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - y. Let u = 2 - y. Solve -c + 15 = u*c - 3*m, 3*c = 5*m + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 5)*(0*k - k + 0*k) + (1 - 5 + 2)*(0 + 0 - k) + (7 - 1 - 2)*(0*k + 4*k - 2*k))*(-5*k + 5*k - 2*k).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 6.581.\nAnswer: -78.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2. Let i(z) = -z - 6. Let u be i(-7). Let s(r) = r - 1. Let f(w) = -2*w**2 - 12*w + 12. Let n(p) = u*f(p) + 12*s(p). Give n(b(k)).\nAnswer: -98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 1 + 1 + 0)*(2*s + 1 - 1)*(-16 + 35 + 27) + (2*s**2 - s**2 + s**2)*(1 - s - 1).\nAnswer: 90*s**3 + 184*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.3 + 0.3. Let h(n) = 3*n + 15. Let f be h(-4). Which is the smallest value? (a) v (b) -10\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 1798\nAnswer: 1258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:16 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/8 - (10\/(-4))\/1. Suppose -9 = -3*d + a*d. Let k be (3630\/4)\/(d\/(-12)). What is k rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*i = -15, k + 3*i - 3 = 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851892, 1703785, 2555678, 3407571?\nAnswer: 4259464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 27 - 37. Let h = -13 + r. Let b = h - 0. Solve -3*v = -b*w + 5*w + 4, v - 4*w - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 9*f + 6*n - 3, -22*f + 14*f - n = n + 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.26 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1325 in 2, -1, 0.029?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/510 >= 1.16592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -39. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 25*j**2 + 5*j + 98. Determine y(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10640 divided by -14.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 - x - 3. Let b be w(-3). Is 8 a factor of (((-207)\/(-4))\/b)\/((-2)\/(-64))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - -101100011111010?\nAnswer: 101100100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*(2 + 1 + ((-1194)\/168 - -4))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*j - 2*d, 13*j = 9*j - 4*d - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**7\/280 + d**4\/12 - d**3\/2 + 2*d. Let u(p) be the second derivative of o(p). Differentiate u(j) with respect to j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24073, 46699, 69325, 91951, 114577, 137203?\nAnswer: 159829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4738 + -4737.2505. What is u rounded to two dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by -5?\nAnswer: 411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17929.57s to milliseconds.\nAnswer: 17929570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 1 + sqrt(45) + 2)*-2.\nAnswer: -6*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(264\/(-495))*(-14)\/7?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/(-162)*(-2)\/42)\/((-75)\/((-14625)\/26))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**2 + 15*y - 2. Suppose 138 = -4*w + 102. Let z be v(w). Which is the second biggest value? (a) 0 (b) 5 (c) z (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5642.273 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178\/105 - -1\/35. Let c = i + 1\/6. What is the second smallest value in -2\/17, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + b - 2*b + ((-3 - 5*b + 3)*(-1 + 0 - 2) + 2*b - 7*b + 18*b)*(8 + 12 + 11).\nAnswer: 869*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 1550407?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 1170, 1662, 2042, 2274, 2322, 2150, 1722?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 832 = 0. Let u = -154 + b. Suppose 102 = 4*h - u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/12)\/(g\/(g*g**(1\/4)\/g)*g)*(g**18*g)**(-2\/15) assuming g is positive.\nAnswer: g**(-131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37\/3, 0.4, -7\/17, -6\/7, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - 6 - (-20 - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 51 = -5*i, 28*i + 78 = -2*l + 2*l + 3*l + 36 - 69 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246 + 286. What is the remainder when g is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147004, 294221, 441438?\n\"Answer: 147217*h - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 7 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 12\/3 + (-27)\/(-7). What is the nearest to 13 in 5, b, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0287, 9\/5, 2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -713 in decreasing order.\nAnswer: -1, -5, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + x + 71428, -p + 8110*x = 8105*x - 23842. List the prime factors of p.\nAnswer: 7, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 9*m + 29. Let d be r(12). Let v be (2\/(-6))\/(d\/63). Suppose i + 888 = 3*i + v*q, -5*i - 5*q = -2225. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/6 + (-4)\/(-6). Let r = 4031 - 2495. Let p = r + -1539. Sort p, j, -4 in ascending order.\nAnswer: j, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18)*28\/(-7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 65*o**2. Let s(d) = 2*d**2 - 6*d**2 + 18*d**2 - 8*d**2. Give b(s(m)).\nAnswer: 2340*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -11.18. Let m = 143000.81933 + -143000. Let g = m + j. Round g to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 13*x - 26. Let j be s(7). Suppose 9*b - 83 - j = 0. Solve -5*n + 14 + b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3 (b) 0.3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, 1\/77, -1\/4, -136, -1\/6, 1\/4, -1\/9?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*l - 132 = 0, -2*l + l + 100 = -2*h. Let s = h + 132. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by -5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Differentiate -2*k + 2*k + 0*k + k**3 + n with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1394362615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 + h**2. Let a be y(-1). Factor -2*l**3 + l**4 + 3*l**4 - 2*l**4 + 2*l**a.\nAnswer: 2*l**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\/18*(-636)\/(-106)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1371826688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3733*p = 3735*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105669 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 19*k**2 + 6*k - 23. Is i(19) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -30*o - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, a: 1, g: 2, r: 1, q: 2, s: 2}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9 - 4\/30) + (-28)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/49*-14)\/(0 - -1). Let t(y) = 3*y**2 + 13*y - 29. Let c be t(b). Solve 3*u - c = 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14870, 9495, 4120, -1255, -6630?\nAnswer: -12005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 10. Let p be d(3). What is the tens digit of 4\/p*(2 + -62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8337126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2 - -3)*-43. Let m be 3\/(((-5)\/(3 - 8))\/7). Let a = o - m. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:13 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89194.48 decades in years?\nAnswer: 891944.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 378b?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 36*y**2 - 55*y + 670. Calculate c(-39).\nAnswer: -1748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343\/234 + -15\/26. Let c be (1\/(-12))\/((-3)\/8). Determine a so that -c*a**5 - 4\/3*a**3 - 8\/9*a**2 - 2\/9*a - l*a**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6605254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 840 + 19. List the prime factors of x.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4 + 450\/114). Suppose -t - 3*u + 10 = 0, -3*t + 4*u - 9 = -0. Suppose 2*g = q - t. Solve 0 = 3*a + 2*z + g, 0*a - 6 = 3*a + 3*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398 - 3*m + 398.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*m + 34*m**3 - 464*m + 230*m.\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131\/20 + -1123\/60. Find the common denominator of -65\/27 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Let l(t) = -1740*t - 232. Let y(m) = 174*m + 24. Let h(b) = -3*l(b) - 29*y(b). Calculate h(f(q)).\nAnswer: -348*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.6, -1\/5, 0.3, 0.08 in decreasing order.\nAnswer: 0.3, 0.08, -2\/11, -1\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Suppose -48*t = g - 49*t + 1, -5*g + t + 11 = 0. Put -0.5, 0.2, g, n in decreasing order.\nAnswer: n, g, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u + 3 - 3)*(2 + 3 - 4) + 3*u + 1 - 1)*(2*u**3 - 2*u**3 + 2*u**3 + (0*u - 2*u**2 + 0*u)*(-6*u - 34 + 34)).\nAnswer: 70*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(2 + sqrt(72)*1).\nAnswer: -72*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35494, 36208, 36922, 37636, 38350, 39064?\n\"Answer: 714*j + 34780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 105 = 14*t. Sort -7, -5, t.\nAnswer: -7, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 + 5*u**4\/24 - 4*u**3\/3 + u**2. Let j = -153 + 146. Let q be l(j). Solve 5*y - q = -26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28472 - 28472.0000026501. What is q rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) -129 (c) 5 (d) -0.4 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:49 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(363)*2 + (sqrt(363) + 1 - sqrt(363)) + 5 - -5*(-3*sqrt(363) + -2 + sqrt(363))) + 5)**2*-4.\nAnswer: -2325700 - 88000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -17*o**6\/15 - 139*o**2\/2 - 107*o - 53. Let x(l) be the first derivative of q(l). Differentiate x(f) with respect to f.\nAnswer: -136*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -5*m - 17*x + 7*x - x - 47, -14*m - 58 = -2*x + 4*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*m - q - 11, -15 = -4*m - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682340981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -52380400 rounded to the nearest 100000?\nAnswer: -52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 5*t - 8. Let d be f(6). Let j be (-14)\/(-18) - (3 + d). Let s = 10.9 + -5.9. Sort j, s, -2 in descending order.\nAnswer: s, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-8)\/8) + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 14*i. Let p be y(6). Suppose -3*g = -11*g + p. Calculate the greatest common divisor of g and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**4 + s**3 - s**2 - 1. Let z(o) = 8*o**4 + 4*o**2 + 12. Let g be (3\/(-3))\/(3\/36). Let h(a) = g*b(a) - z(a). Suppose h(m) = 0. What is m?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -90905.\nAnswer: -18181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28785.52975 - 28786. What is a rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 - 703*u**2 - 158*u - 1370. What is k(176)?\nAnswer: 1798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 6. Let x(f) = -10*f - 28. Let c(w) = 14*n(w) + 3*x(w). Let k be c(0). Solve k = 7*b - 12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xavvavakvqxcxx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/600 + 2*h**5\/75 - h**4\/120 - 4*h**3\/15 + 737*h**2. Factor s(a).\nAnswer: (a - 1)*(a + 1)*(a + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) - 56\/(-32). Put -2\/13, 1\/4, i in ascending order.\nAnswer: -2\/13, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193356, -773298, -1739870, -3093072, -4832904, -6959366?\nAnswer: -9472458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((-7)\/(-2)*(-1424)\/2492).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/3 - 191*k**3 - 13733*k**2\/3 + 44051*k - 117845\/3 = 0?\nAnswer: -259, -35, 1, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose 0 = -232*u - 255*u + 2308 + 2562. Solve f*g = -2*g + u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32*18\/(-21888))\/(2 + (-10)\/4).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27936967 times -0.19?\nAnswer: 5308023.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 159. What is the nearest to -1\/9 in -0.3, 0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2. Let y(m) be the second derivative of -256*m**4\/3 + 573*m - 2. Give c(y(k)).\nAnswer: 3145728*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 4*z + 13. Let t = 12 - -43. Let v(g) = -6*g - 7. Let i be v(5). Let w = t + i. Let q(p) = -p**2 - p + 3. Give w*q(n) - 4*y(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + t = -38*y - 181, -5*y = -44*t + 52*t + 233 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 44*r**2 + 14*r. Let o(b) = -90*b**2 - 35*b. Let q(y) = 2*o(y) + 5*w(y). Let p(g) = -2*g**2 + 62*g - g**2 - 62*g. What is q(p(c))?\nAnswer: 360*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/((-4)\/60). Suppose -s = s. Suppose 0 = -s*j - j. Solve -3*g + 8*g - q = j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5 = -2*q + j, -5*j = 4*q - 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2834*o**2 + 8763*o**2 - 2848*o**2 - 2881*o**2.\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 21. Let t be 3594\/15 + 6\/m. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*n**3 + 840*n**3 + 5*n - 5*n - 369*n**3.\nAnswer: 115*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kffa. Give prob of sequence ak.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1163107 weeks to seconds.\nAnswer: 70344.71136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (78\/12 - 6)\/(2\/236). Differentiate 30 + 28 - 2*o - p - 27*o**3 with respect to o.\nAnswer: -81*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 12, e: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 - a**2 - 4 + (1 - 2 + 2)*(-a**2 - 2*a**2 + a**2)*(-42 - 88 - 43) to the form l*a + k + x*a**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1509 = -6*i + 3*i, 3*i = 3*o + 1503. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 74 = 13*b. Let k(w) = w - 2. Let s(z) = 2*z - 1. Let j(d) = 3*k(d) - 2*s(d). Determine j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1804, -1803, -1802, -1801, -1800?\nAnswer: -1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 y, and 1 a when four letters picked without replacement from {y: 3, h: 4, a: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:40 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/870)\/((-4)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -0.2 (b) 80 (c) 1.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -599 + 599.343. What is n rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 4:11 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -78.4. Let n = -24.28 + w. Let d = n - 13. Round d to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57555583?\nAnswer: 2357, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 417723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07436 and -2666863.\nAnswer: -2666863.07436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*q = 1, q - 26 = -4*i - q. Suppose -3*h + 2*w = -34, 0 = -3*h - 6*w + 3*w + 24. Calculate the least common multiple of h and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 18. Calculate q(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 6. Let a be l(8). Let f = -17 - a. Suppose -2*r - 5*r - 28 = 0. Put r, f, 2 in ascending order.\nAnswer: r, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y + 71*y - 2*m = 590, 5*y = 3*m + 1479. Calculate the greatest common factor of y and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*z = 13, 1 = 2*o - 26*z + 23*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 19, 53, 109, 193, 311, 469, 673?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 215530?\nAnswer: 215523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 12*j - 7 in the form g + d*j and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 467828897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 9 + 10 - 5*u**2)*(118*u**2 + 87*u**2 - 60*u**2).\nAnswer: -580*u**4 + 145*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111202 - 102002212202?\nAnswer: -102001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1204 times -7\nAnswer: 8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-1 - -6) - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v + 4*y - 36, 0 = 3*v + 3*y - 72. Calculate the lowest common multiple of v and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112845424*o + 103836976 wrt o?\nAnswer: -112845424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7866632 millennia to years.\nAnswer: 786.6632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*r + 1218*r - 54103 = 76707 for r.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -16*q + 4. Suppose 0 = 3*t + 722 - 722. Let g be x(t). Solve -4 = -3*m + 5*m + 2*n, g*m = -2*n - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) - (-3064)\/32. Let r = j - 58. Suppose -19 - r = -3*n. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 912381*t + 912384.\nAnswer: -3*(t - 1)*(t + 304128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2866, 64, -4 in decreasing order.\nAnswer: 2866, 64, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (1*sqrt(68) + sqrt(68) + 1 - sqrt(68) - sqrt(68)))**2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -55. Suppose 4*k + 0*l + j*l - 116 = 0, l - 89 = -3*k. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j**(-1)*j*j)\/j)\/j*j*j**(1\/13)*j*j*(j\/(j**(-3\/2)\/j))**(-37))**(-1\/13) assuming j is positive.\nAnswer: j**(3287\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 387*g - 35808. Give o(-77).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 0.669?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 331433409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-60) - (-2)\/8. Let c = 0.238 - 0.599. Let z = -0.061 - c. What is the closest to l in -1\/4, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.37319 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/4, 0.1, 3 in descending order.\nAnswer: 3, 11\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -770372 (base 8) to base 16\nAnswer: -3f0fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4375, -4363, -4341, -4309, -4267, -4215?\nAnswer: -4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 5 + 16)*(-36 - 7 + 6)*(-12 + 12 - 12*b) in the form a + v*b and give v.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 15. Suppose -8*n = -12*n - 4. Let g be (-2)\/6*(n + r). Solve -g*t + 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (498\/176 - 2) + -1 and (32 - (-552)\/(-32))\/(-22).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 + 981*h**3 - 147522*h**2 + 718776*h - 855360 = 0 for h.\nAnswer: -440, 2, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - 90. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcr when three letters picked without replacement from {r: 6, c: 7, q: 6}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69.107 from -1935.4789.\nAnswer: -2004.5859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 803953 (base 12) in base 4?\nAnswer: 13213212033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15 = 3*w, 16 = 3*w + w. Find the third derivative of -2*h**2 - 4*h**5 + f*h**5 + 4*h**5 + h**2 wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/21 and 73\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 52668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 + 1043*p + 19295. Determine m(-93).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24*u**3 - 16*u**2 + 20*u + 7. Let v(o) = -70*o**3 - 46*o**2 + 57*o + 20. Let k(a) = -17*h(a) + 6*v(a). Determine k(2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + 5*(-5 + -3 + (-2*sqrt(448))**2) + 4.\nAnswer: 8927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + l - 22 + 4 = 0, -3*w - 22 = 5*l. Let b be 12*-2*2\/w. Solve -5*q - 5*z = -40, q + 3*z - b = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*h + 14, -h = -6*h + 4*b + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from ssisisiisissi?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brc when three letters picked without replacement from {r: 2, q: 2, c: 8, b: 3}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327742*c**3 + 261753.\nAnswer: -983226*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 40*q + 400. Give o(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 1 + 521452*k**3.\nAnswer: 521452*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.03 (b) -0.4 (c) 6\/11 (d) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -4)*(-4)\/(5 + -1). Suppose -2*m + 40 = 8*m. Suppose 16*u = 17*u + m. Sort u, 5, -5, f in ascending order.\nAnswer: -5, u, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let b = 51 - 49. Let c(r) be the first derivative of 13*r**2 - 1625 - 3*r**b + 1613. Determine c(n(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**15*w))*w**(3\/8)\/w*w\/(w\/(w**(-5\/8)*w))*w**4\/w assuming w is positive.\nAnswer: w**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89131 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3763 + 438. Let i = w - 4201.1743. What is i rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(5*(sqrt(1300) + 1 + sqrt(1300) + sqrt(1300)) + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) - (0 + sqrt(1300))))*5))**2.\nAnswer: 5500*sqrt(13) + 786630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52683?\nAnswer: 3, 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 y when three letters picked without replacement from eyeyyeyyyyeeeeee.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 - 10700. Suppose -3*i - 3*s = -4*i - 3, 3*i - 4*s + 4 = 0. Let k be a(i). Round k to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189 * -1770.3.\nAnswer: 334586.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/2 - v**3 - v**2\/2 + 4*v + 6. Let i be n(-2). Solve -q = q + i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 6*f**2 - 5*f**2 + 0*f**2. Suppose -3*q - 8 = x - 0, -3*x + 5*q = -32. Let g(p) = 3*p**2 + x*p**2 - 3*p**2 + 10*p**2. Give g(r(k)).\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.059 (c) -4\/9 (d) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.063599 (b) 1 (c) 0.17 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/81*(-39)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z. Let q(g) = 5. Let w(l) = 22. Let h(o) = 9*q(o) - 2*w(o). Calculate 2*h(v) + y(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -333*w**4 - w - 543.\nAnswer: -1332*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1568, -3160, -4752?\nAnswer: -6344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 6:27 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*j - 97*j = -45. Solve j*h + 7*r - 15 = 3*r, 0 = 2*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + v - 4. What is m(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 + 32321?\nAnswer: 32423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5112\/5 - -1023. Let p(l) be the first derivative of 1\/15*l**3 - m*l - 1\/5*l**2 + 5. Solve p(g) = 0 for g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, m: 1, l: 1, p: 3}. Give prob of sequence pnnm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/14 - 8\/4. Let x = -12 - -13. Let t be 3 - (x + 32\/14). Which is the smallest value? (a) k (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53\/105 - 103\/210. What is the common denominator of -81\/392 and g?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1341\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -15832961?\nAnswer: 15832956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1870, 17195, 58994, 140503, 274958, 475595?\nAnswer: 755650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 1. Let q be p(1). Let v be (0 + 118\/4)*2. Let d = 63 - v. Solve -z = -q*m - 11 + 4, 5*m + d*z = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 17. Calculate the remainder when 52 is divided by t(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t - 1. Let w(l) = 7*l**2 + 28*l + 27. Let x(j) = 2*o(j) + w(j). Factor x(r).\nAnswer: 5*(r + 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 + 9. Let t(q) = -3*q**2 + q - 1. Let p(f) = 7*f**2 - 3*f + 2. Let b(a) = -2*p(a) - 5*t(a). Let v(o) = 6*b(o) - i(o). Calculate v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1829.\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - k + 23 = -0*k, 59 = -3*k + 74 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.7654515 - -0.7115375. Let u = -148.053961 - p. Let z = -112 - u. Round z to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/26*126\/(-630))\/((-2)\/10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95359*p**3 - 192782 wrt p.\nAnswer: -286077*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101201, -101185, -101149, -101087, -100993?\n\"Answer: v**3 + 4*v**2 - 3*v - 101203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*o + 42*o + 41*o + 30*o - 2 - o**2 + 8*o + 3*o**3 + o**4 as m + f*o**4 + d*o**3 + a*o + z*o**2 and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8420 + 4\nAnswer: -8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.3, -3, 3\/23, -0.141?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17098090 to the power of 1\/2, to the nearest integer?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9720 and -15147978.\nAnswer: -15157698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.8 - 12. What is the biggest value in 0.25, -3, l?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39854.97 + -40181. Let y = -324 - d. Round y to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 12546611114.\nAnswer: -12546611122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m\/(m**(-2\/11)\/m)*m))\/m**(4\/5))\/((m\/(m**(-4)\/m))\/m**(-1\/3))*(m**(-2\/9)*m)\/m*m**(2\/15)\/m*(m\/m**(-1))**25 assuming m is positive.\nAnswer: m**(3920\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(576) - (sqrt(576) + sqrt(576) + 2*sqrt(576))))\/((sqrt(120)*-2*3)\/sqrt(10)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -641, -0.3, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3376 and 4336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/900 - s**5\/225 + 7*s**4\/60 - 2*s**3\/5 - s**2 + 66. Factor n(w).\nAnswer: -2*(w - 3)*(w - 1)*(w + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 15*l - u + 11, -u + 21 = 3*l. Solve h + 5*z - 5 = 0, -h + 3*z = -0*h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-5))\/(((-24)\/39)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 8. Give i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 79 = 2*j, -2*j = -9443*t + 9445*t + 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from nsenninvn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.2. Let r be (-3 + 4 - -1) + -1. Let b = -100 - -801\/8. What is the closest to r in 1\/6, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*x**2)*(2 + 3*x - 2) + (-5*x + 3*x + 0*x)*(-18*x + 18*x - 12*x**2) + x**3 - 2 + 2.\nAnswer: 34*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let i(h) = -305*h**2 + 3. Determine d(i(o)).\nAnswer: -305*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 764 and 209718.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101574.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28921 = -191*j + 28379. What is the remainder when 6898 is divided by j?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17697330 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 8 - 10. Let j be (-1 - z)*-1*1. Let 6*f**3 - 8 - 15*f**2 - f**2 - j*f**3 + 0*f**2 + 20*f = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*g**2 - 29514 + 29514)*(-4*g + 3*g - g) + 8*g**3 - 14*g + 14*g to the form s*g + a*g**3 + r + z*g**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37586161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3\/5 + 74*b**2 - 8648*b\/5 + 4232\/5 = 0. Calculate b.\nAnswer: 1\/2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*a**4 - 17*a**3 - 9*a**4 + 16*a**3)*(0*a + 2*a - 3*a) - 14*a**2 - 6*a**5 + 14*a**2.\nAnswer: 113*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655, -656, -657, -658, -659?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**7\/10 + 17*i**3\/6 - 5*i**2. What is the first derivative of j(r) wrt r?\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 + 3*z + 4. Let c be d(3). Suppose 0 = 4*v - 8 - 8. Suppose -2*g = -h + 123, -v*g + 90 + 354 = c*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3 + 2 + 1 - 1 + (5 + 0 - 3)*(5 - 2 - 2) + (-6 + 4 + 1)*(6 - 5 + 5))*(12 - 12 - 30*c).\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-85 + 45 - (-1 - 11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x + 36. Let d be w(-3). Find the second derivative of 24*i - 6*i**3 + 6*i**4 + 2*i + i**d wrt i.\nAnswer: 72*i**2 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000110101 - -111001101?\nAnswer: 1000000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**5*y**3 + 72*r**5 + 7861*r**2*y**2 - 2*r*y**3 wrt r.\nAnswer: 600*r**2*y**3 + 4320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7 + 2. Let z(m) = -5 + 2*m**2 + 2*m + 1 - 4*m**2 + m**3. Determine z(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*x - 57410, 13954 = 5*a - 5*x - 57831. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 817, 930, 1093, 1312?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49 and 7836875.\nAnswer: 7836924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -37 + 61. Let q be (-4)\/(-6) + 368\/w. Suppose -3*p + 55 = 5*t, t - 4 = 4*p - q. What is the lowest common multiple of t and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyyywyyyyw. Give prob of picking 2 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20600.84mm to meters.\nAnswer: 20.60084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + -2 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923626071.\nAnswer: 3, 53, 61, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -92. Suppose 0 = 26*v - 8*v - 5184. What is the smallest common multiple of v and h?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v + 1. Let o be s(-1). Suppose 0 = 2*h - o, -4*y + 5*h - 23 = -2*y. Let t = -2 - -5\/3. Which is greater: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -31255\nAnswer: 593845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:39 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -665818 + 671130 - 9*y**2 - 296*y + 5*y**2 wrt y.\nAnswer: -8*y - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(7))*-2)**2 - (sqrt(7) - (2 + -3 + sqrt(7) - sqrt(7)) - sqrt(7)).\nAnswer: -8*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 6*j - 5. Let g be t(7). Let q(l) = -3 + 1 + 2 + g - 7*l. What is the remainder when q(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/18)\/(4\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 35*o**2\/3 + 304*o\/3.\nAnswer: o*(o - 19)*(o - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtatfth. What is prob of picking 1 f and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -24. Suppose -b*f + 396 = 92. Solve 2 = 7*w - f*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 3, w: 4, k: 5, f: 1, y: 3}. What is prob of picking 1 k, 1 s, and 1 f?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b\/b**(-19))\/b)*b)**31*((b*b**(2\/5)\/b)\/b*b*b*b)**28 assuming b is positive.\nAnswer: b**(-2454\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*y + 12 = 2, 0 = -c - y - 4. Let x be (-1)\/((c\/(-6))\/(-1)). Let s = -3 + x. What is the nearest to 1 in s, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1*94)\/(-2))\/1. Let r = -33 + n. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 747 divided by 3.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 31.9. What is the nearest to x in -0.1, -0.07, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 - 2*t**2 - 5*t - 4. Let s be h(-1). Suppose -s*p + 11*p = 126. What is the remainder when 60 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223120748*j**2 - 207760595 wrt j?\nAnswer: 446241496*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 15. Let k(b) = b**2 - 9*b - 3. Let t be k(7). Let l(h) = 1 + h - 5 - 1 + 0*h. Let w(z) = t*l(z) + 6*u(z). What is w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s - 708 = 204*s - 6740 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2000 (base 7) to base 8\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 5*d + 1313. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*w**2 + 0)*(2*w**2 - 4*w**2 + 4*w**2) + (-1 + 1 + 2*w)*(16 + 9 - 1)*((0*w**2 + 0*w**2 - 2*w**2)*(-4*w + 4*w + 2*w) - 2*w**2 - 7*w**3 + 2*w**2).\nAnswer: -532*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.89 - 21. Let z = j - 3.89. Which is the closest to 0? (a) -1\/3 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:36 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4162 + 1155436?\nAnswer: 1162631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**3 - 41*q**2 - 1618*q + 11259. What is f(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21222 - -21201?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/2*28\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/175, -41097, -3, 0.05 in increasing order.\nAnswer: -41097, -3, 2\/175, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*q - 39, v - 2*q + 65 = 4*v. Suppose j - 4*j + v = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4140201 and -4.5.\nAnswer: 18630904.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52123 (base 6) in base 10?\nAnswer: 6963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -5 - (-43 + 42)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-50))\/((-3)\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -746643\/20 or -37333?\nAnswer: -37333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3894*g - 3721*g - 1 + 1.\nAnswer: 173*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 13) in base 11?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/4 - ((-8)\/(-1) + -5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 150182321.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, c: 4, x: 2, m: 3, r: 1, n: 2}. Give prob of sequence nc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82332.\nAnswer: 2, 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - -7) + -23 + (-11 - (-7 + 13))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -102 and 1.102118744.\nAnswer: -100.897881256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -153*d**3 - 9*d**2 - 5*d + 5. Let z(j) = -77*j**3 - 5*j**2 - 3*j + 3. Calculate -3*l(h) + 5*z(h).\nAnswer: 74*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -8. Let i = s - 6. Let k(x) = x - 5. Let j be k(4). Put i, j, 0 in decreasing order.\nAnswer: i, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 322, 0.0214, 0.5?\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3735390, 7470782, 11206174, 14941566?\nAnswer: 18676958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*4\/(-128)*4)\/((-21)\/294).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 14}. What is prob of sequence hpp?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -17. Is -3 - g - (0 - 39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 201, 409, 609, 801, 985, 1161, 1329?\n\"Answer: -4*j**2 + 220*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*p - 11*p + 6*p)*(402*p**2 + 177*p**2 + 317*p**2 - 52*p**2).\nAnswer: 20256*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 1, i: 1, e: 1, w: 2, y: 1}. Give prob of sequence eoy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 2, l: 1, i: 1, t: 1, x: 1, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*p = 9*p + 97*p + 6302 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 3*j**2 + 2*j - 7. What is the hundreds digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 0 - 12*b + 2)*(9*b**2 - 9*b**2 + 5*b**4) + (2*b - 2*b - 2*b**4)*(6*b - b - 4*b) - 13*b**5 + 29*b**4 - 29*b**4.\nAnswer: -35*b**5 + 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768540 rounded to the nearest ten thousand?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 36 + 75)*(0*k + 0*k + k**3) - 216*k**3 + 2 + 2 + 217*k**3.\nAnswer: 135*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**4\/24 + i**2. Let r(g) = -13 + 13 - 1845*g**2 + 26*g + 4*g + 1847*g**2. Calculate q(r(c)).\nAnswer: -2*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15223383 divided by -63.\nAnswer: -241641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1588?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11681 + 11683. What is the smallest common multiple of 142 and x?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-45) - (-72)\/205. Let g = 51\/205 + s. Do g and 0.2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - (-141)\/(-6))*(-12)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16490906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 524773, 524781, 524801, 524839, 524901, 524993, 525121, 525291?\n\"Answer: x**3 + x + 524771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let y be (-2)\/(-4) - 9\/2. Let b(x) = 3*x**3 - x**2 - 4*x - 7. Let g(m) = 7*m**3 - 2*m**2 - 9*m - 14. Let c(s) = y*g(s) + 9*b(s). Give c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2132 + 0.042. What is t rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Suppose 0 = -3*k + 3 + 9, t*n - 4*k = -7. Suppose 8*i - 5 = 3*i, -n*r + 11 = -i. Calculate the lowest common multiple of r and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6098 - -1\nAnswer: 6099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let k(y) = -y**h - 3*y**2 + 2*y + 3 - 3 + 3. Let j = -4 - 0. Determine k(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:03 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 100*q**2 - 192*q - 385. Give z(98).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 7)*(2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 164064.896+-0.5\nAnswer: 164064.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:14 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3114930 = 152*l - 87*l. Round l to the nearest one hundred.\nAnswer: 47900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 390\/((-544)\/1122 + 2\/(-11)). Round c to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -690*j - 53*j**3 + 2*j**2 + 663 + 352*j + 2931 + 344*j wrt j?\nAnswer: -159*j**2 + 4*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 792504\/(-504) + (-8)\/14. What is f rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 69*a - 170*a - 132*a - 75*a - 52*a. Let f(h) = -h. Determine m(f(b)).\nAnswer: 360*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -153*-13.689\nAnswer: 2094.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**5\/60 + 8*c**2. Let x(k) = -2*k + 3. Let n(p) = -5*p + 7. Let h(i) = 6*n(i) - 14*x(i). Give h(o(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 8 = 9*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.9966 and -804838.\nAnswer: -804828.0034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1197562 and 16?\nAnswer: 9580496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(((-9)\/(-2))\/(-3)))\/((-6)\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n + 3*n, 0 = 2*h - 2*n. Let u(o) = o. Let b be u(0). Suppose b*q = 2*f - 5*q - 23, -4*f - h*q = -10. What is the smallest value in 1\/11, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, h: 2}. Give prob of sequence lhll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d**3 - 689*d**2 - 332*d + 168. What is n(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51197 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -21\/2*t**2 - 1\/2*t**3 + 7\/4*t**4 + t + 3\/20*t**5 + 11. Factor b(r).\nAnswer: 3*(r - 1)*(r + 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-11 - -1 - -6) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -71*y**2 + 4*y + 2. Let q(t) = t**2. Let w = -82 + 81. Let c(g) = w*x(g) - 5*q(g). List the prime factors of c(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -5*z + 5. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*w, 71 = -3*w - a + 73 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Let s(r) = -r**2 + 6*r - 2. Let j be s(v). Suppose j*c = 65 - 11. What is the greatest common divisor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1440, -2\/7, -18\/13 in increasing order.\nAnswer: -18\/13, -2\/7, 1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**18*v*v*v**11\/v)**(1\/9) assuming v is positive.\nAnswer: v**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*11\/363 + (-201)\/(-198))\/((-20)\/(-360))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2729\/5 bigger than -547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b*b)\/b)**11\/(b*b**(-2\/31)*b*b**5*b) assuming b is positive.\nAnswer: b**(777\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b = 14*b + 17*b - 2*x - 102, -4*x + 84 = 4*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -7\/4, -4, 2\/3, -39.5, -5?\nAnswer: -39.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 83?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170*6.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -596 - -599. Suppose -2*v + u = -7*d + 2*d, -3*v - 3*d + 36 = 0. Solve v*j + 0*j - 45 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01905527 to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 160\/220 + 64\/(-88). Suppose 0 - 1\/6*b**4 + o*b - 1\/3*b**3 - 1\/6*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293\/670 - -5\/134. What is the nearest to p in -0.11, 0.5, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d. Let g(r) = 5*r - 2*r - 9*r. What is y(g(n))?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -25.3. Which is the closest to -2? (a) 0 (b) l (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305*l**3 - 548*l wrt l?\nAnswer: 1830*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*d - 4196, 0 = -5*t + 3*t + 3*d + 2797. Let p be (-2 - -1)*t + -3. Round p to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10809178 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 142 = 33 - 10 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-275)\/(-276)*(2001\/(-4930))\/23 and 95\/1564?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 k when three letters picked without replacement from gyvkgyvknynyg?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1436 and 183209188.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.083393 months in years?\nAnswer: 0.09028275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -534519832*j**3*x - 8*j**3 + 9282*j**2 + 12 wrt x?\nAnswer: -534519832*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let s(m) = 5108*m**2. What is d(s(b))?\nAnswer: -10216*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/(8\/(-6)). Let v be 8 + 2*(-3)\/2. Solve h = 4*i - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**3 - 2*q**3 + 3*q**3)*(5 - 1 - 2) - 600 + 46*q**3 + 600 + 2*q**3 - q**3 + 6*q + 452*q**2 - 456*q**2 to h*q**3 + i*q + z*q**2 + r and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 749147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(4*(sqrt(5)*2 - sqrt(5)) + -2).\nAnswer: -8*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2 + 2*b + 3*b + b**2 - b. Let c be i(-4). Suppose -3*d + 0*d + 4*t = -c, 3*d - 22 = -t. What is the greatest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8392193?\nAnswer: 8392193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-42))\/(8\/(-6)). Which is the nearest to -1\/3? (a) 0.2 (b) 6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2772*f - 9054 = 3275*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - 4*b + 297. Let g(c) = 9*c**2 - 5*c + 296. Give -6*g(u) + 7*l(u).\nAnswer: 2*u**2 + 2*u + 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 32*w + 44. Let l be t(31). Solve -36 = 4*j - l*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/42)\/17*14\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 21128.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 11. Let b be d(-9). Let u be 2\/4*12\/b. Find the second derivative of 6*a**3 + 8*a - 3 + 3 - 17*a**u wrt a.\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m**2 - 23*m**2 + 24 - 39 + 2*m - 40 + 19 - 4566*m**4 wrt m.\nAnswer: -109584*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let k = 0.05 - 0.18. Let j = -0.17 + k. Which is the second biggest value? (a) j (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.1 + 15. Let x = 43\/21 + -19\/7. Which is the nearest to x? (a) 2\/13 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15850, 15847, 15844, 15841?\n\"Answer: -3*q + 15853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -118750*r**3 - r**2\/2 - 4*r + 1. Let n be (-45)\/12 + 1\/(-4). Let w be h(n). What is w rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1 - 3 - 27*x.\nAnswer: -27*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 6) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45601416 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 7) in base 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-62 + 9 - 0) + 24)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -1881 - 2351. Calculate the highest common divisor of s and 9752.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -4418935.\nAnswer: -4418935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -c - 5. Suppose -4*a + 111 = -3*n, n + 11 = 3*a - c. Let y = a - -32. What are the prime factors of y?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 264 - 5 + 272 - 8*j**2 - 3.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1437 - 0.0357. Let j = k - 2.1. Let l = j - 0.086. Round l to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10235 + -36982. What is l rounded to the nearest 100?\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 336*f - 5010. What is the smallest common multiple of v(15) and 654?\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Suppose -4*i + 5*i + f = 0. Let c(l) = 2 + 0*l**2 + 2*l + l**2 - 1 - 9*l**3. Determine c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 1 + 1 + (-h**2 + 4*h**2 - h**2)*(-4*h + 7*h - 2*h) + 5*h**3 + 3*h**3 + 8*h**3 + (-4*h**2 + 7*h**2 - h**2)*(2*h + 0*h + 0*h).\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-7) - (-3)\/(-7). Factor 2*r**y - 69*r - 88*r + r**2 + 172*r.\nAnswer: 3*r*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54*6\/126)\/((-258)\/(-903)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 204. Let u(s) be the second derivative of s**4\/12 - 27*s + 4. What is v(u(g))?\nAnswer: -g**2 - 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v + 3. Let u be r(2). Suppose 2*w = u*h + 79, -6*w + 4*h + 187 = -w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 646*b - 32. Let t be n(8). Let z = 9835 - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/13587 and -71\/266564.\nAnswer: 5597844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.096223 minutes?\nAnswer: 0.00353904375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + m = -15 + 74, -2*b - 56 = -4*m. Let j be (b\/(-7))\/(5\/35). Solve -o + 0*o = 5*h - j, -3*o = -3*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 19*r - 187 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q. Let w be h(5). Suppose -5*m + w = -0*m. Solve 3*f + 3*p + 24 = -2*p, -2*p = 4*f + m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32289726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/4 - 6*p**3 + 3*p**2 + 34*p - 14. List the prime factors of l(18).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -623 + 676. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 - 160. Let a(q) = 9*q - 2*q + 1 + 0*q. Calculate a(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/(-21)*(-532)\/(-152).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133401 + -542?\nAnswer: 132526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/31 or -1?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538589631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 116375 = 5*k, 5*n + 4*k - 104812 - 11564 = 0. Let f be n\/24 + (-1)\/(-6). What is the units digit of f\/30 - 2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 23016*p**3 - 46031*p**3 + 190*p**4 + 23013*p**3 to the form v + h*p**4 + j*p + l*p**3 + b*p**2 and give h.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, u: 2}. Give prob of picking 1 s and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -236*l + 7079. Let r be t(30). Are r and 19\/844 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -87.28. Let a = m + -0.89. Let o = a + -1.39. Which is bigger: -67 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 341193919 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -311, -713, -1287, -2039?\nAnswer: -2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-42)*-7 - 2250\/108.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2737526761.\nAnswer: 263, 10408847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q + 47*q + 51*q + 408 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s + 5*o, 8*s - o + 4 = -7*s + 14*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*10\/15)\/((-4)\/(-33774)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 (base 15) in base 9?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from fecms.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 65 - n - 3*n - 19*n - 66. Let i be u(-1). Solve 5*m + 3 = -i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12431531.3 to the nearest ten thousand.\nAnswer: -12430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39328 and 8384238?\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (-3 + sqrt(833)) - sqrt(153)\/(sqrt(9)*3 - sqrt(9)).\nAnswer: -13*sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265\/66 + -90\/11. Calculate the common denominator of o and 99\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m + 3. Suppose 3*t - 9 = -5*b, 2*t - 3*b + 3 = 3*t. Suppose -y = -6*y + 20, -2 = -t*z - 2*y. Calculate l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299467120 divided by 4\nAnswer: -74866780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1000?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -253+54468523.265\nAnswer: 54468270.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/7846?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*n - 1, 2*n = -4*y - 162 + 164 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3 + (0 - 1 + 3)*(2 + 1 - 2))*(183*h + 6865 - 6865).\nAnswer: 732*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10450, 20902, 31378, 41890, 52450?\n\"Answer: 2*f**3 + 10438*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151, -386, -1055, -2374, -4559, -7826, -12391?\n\"Answer: -36*c**3 - c**2 + 20*c - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/i**(-36))*i))**(-2) assuming i is positive.\nAnswer: i**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 11) in base 15?\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1300) + sqrt(1300)*-2 - sqrt(1300)).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9a9 (base 12) to base 11\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - t + 1. Let a(j) = 6*j**2 + 5*j - 3. Let y be (1\/2)\/((2\/1)\/4). Let k be 5*(3 + -2)*1. What is k*r(w) + y*a(w)?\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/126)\/((-3)\/36) - ((-195)\/35 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1adf7 + -5?\nAnswer: -1adfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56122601 and 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 2108557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 15, 2*h + 7*d = 4*d + 11. Let z(p) = 3*p**4 + 5*p**2 - 4. Let o(l) = l**4 + l**2 - 1. Let j(r) = h*z(r) - 4*o(r). Suppose j(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*w - 107*w + 92*w + 44 - 11*w - 44.\nAnswer: -73*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20bc - -a?\nAnswer: -20b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -38527.\nAnswer: -11558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 19. Let k(f) = f**3 + 4*f**2 - 8*f - 4. What is k(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y + 4. Let p be 8\/24 - 22\/(-6). Let b be i(p). What is the third smallest value in b, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49\/4 in 2.5, 0.5, 90, -0.6?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-440)\/45)\/22 + 228\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -149ac - -2?\nAnswer: -149aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2616, -0.5, 0, -0.04, -1 in ascending order.\nAnswer: -1, -0.5, -0.04, 0, 2616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.4459666 rounded to 1 dp?\nAnswer: 310.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-985)\/25)\/(3\/2). Let i = t - -691\/60. Calculate the common denominator of i and -7 - -4 - (-35)\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)\/a**33)**(-28) assuming a is positive.\nAnswer: a**(1855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**8\/560 - g**4\/24 - 4*g**3\/3 - 3. Let i(l) be the third derivative of x(l). Find the first derivative of i(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*v - 1 - 2, 4*h - v + 8 = 0. Let q be (0 + 5)*(136\/(-70) - -2). Let m = -0.011 - 3.989. Sort q, h, m.\nAnswer: m, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -12, -19 = 3*d + 3*x - 22. Solve -11 = d*s + m, -5*s + m - 3 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 z, and 1 q when four letters picked without replacement from zazzqzzazsaaz?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 3. Let n be h(-5). Let r be -2*(25\/5 - 6). Factor 6*g**2 + g**3 - 4*g**n - g**r.\nAnswer: g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -75. Solve y - j*y - 15 = 3*q, -y - 8 = 4*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3*h**2 + d**2*h**2 + 5*d**2 + 20*d*h**2 - 2*d*h + 2*h**2 wrt d.\nAnswer: -24*d*h**2 + 2*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*t**4 + 3*t**3 + 36*t**2 + 10?\nAnswer: 2880*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13*k - 247. Let p be o(-35). What is the hundreds digit of (-2219)\/(-4) - (-52)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.0711 (b) -1\/4 (c) -5 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 457 - 220. Calculate the remainder when s is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 + 45*w - 90 = 0. Calculate w.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 661 - 658. Let p = -1.8 + 2. Sort 0.4, -5, p, l.\nAnswer: -5, p, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0854536 * -150.\nAnswer: -12.81804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165257004.\nAnswer: 2, 3, 11, 1251947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*n + 18 - 86 = 0, l - 21 = 2*n. What is the highest common divisor of l and 1313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -36. Let v be (-2)\/4*(-74)\/(-4)*-12. Let l = -91 + v. Solve -m - p + l = -6*p, n = -3*m - 5*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 10*n**2 + 4*n - 5. Let a be w(-9). Let i = a - -128. What is the tens digit of (8\/i)\/((-32)\/(-2352))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -125*q - 371. Let i be k(-3). Solve 4*p - 14 = -2*x, -4*x - 13 = i*p - 33 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*c + 12, -2*c = 3*q - 3 - 5. Let n = c + -4. Suppose 0 = -n*i - 2*i + 4*u, 4*u = 0. Solve o + o + 10 = i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**5 - 4610*o**4 - 5*o**3 + 4610*o**2 = 0?\nAnswer: -1, 0, 1, 922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 6*n + 1. Suppose 7*m = 2*m - 15. Let j(h) = -h**2 - 7*h. Let q(y) = m*v(y) - 2*j(y). Let k be q(-2). Is 1 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -1559*f**3\/3 + f**2 + 129*f - 1531. Find the second derivative of l(p) wrt p.\nAnswer: -3118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/297037 and 37\/10439.\nAnswer: 3267407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595004 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 222852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**3*n**3 - 19987*a**3 + 1858*a*n**3 + 2*n wrt n?\nAnswer: 9*a**3*n**2 + 5574*a*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/3)\/(i*(i*i*i*(i\/(i\/((i*i**8)\/i)))\/i)\/i)*(i\/(i\/i**1))**(3\/7)*(i*(i**0*i)\/i*i*i)**44*(i\/i**(-2\/5))**(1\/5) assuming i is positive.\nAnswer: i**(64597\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g**4 + 4*g**3 - 58*g - 357. Let a(i) = 4*i**4 - i**3 + 2*i - 2. Let b(s) = -4*a(s) - n(s). Find the first derivative of b(p) wrt p.\nAnswer: 4*p**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 63244589*f**2. Let q(x) = 3*x**2. Calculate a(q(c)).\nAnswer: 569201301*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)\/(3 + 4 + -9). Suppose y*i + 207 = 2*r - 3*i, -4*r + 424 = -4*i. What are the prime factors of r?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 - 80 = -2*u, 0 = 2*u + n - 82. Let b be (-8)\/(-10)*(-5)\/(-2). Suppose 14 + u = b*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 + 6 + -24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d - 45 + 45. Let m(c) = 42*c. Calculate a(m(v)).\nAnswer: 168*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 8006*x = 7993*x + 63, 3*g + 2*x - 13 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(1 - -1). Let x(d) = 2*d**2 + d - 641 + 4*d - 5*d + 640. What is x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50974 and 12.\nAnswer: 305844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/304*4\/(-10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 19 = -5*b, 5 - 9 = 2*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 19*d - 19. Let k(i) = -3*i**2 + 39*i + 37. Let w(c) = -5*j(c) - 3*k(c). Let v be w(-20). Calculate the highest common divisor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**6\/180 - h**5\/40 - h**4\/8 - 2*h**3\/3 + 2. Let p(t) be the third derivative of z(t). Give p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b**5 + 747*b**4 + 2259*b**3 - 13827*b**2 - 2178*b = 0 for b.\nAnswer: -11, -2\/13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 - -578. Let y = d - 174. Suppose 0*b - 4 = 4*b, 2*u - 5*b = y. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {j: 2, p: 1, u: 5, q: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60095784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 12. Let d = 7 - k. Solve 0*t + t = -d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**3 - z**2 + 2*z - 1. Determine b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:57 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 858 or 841?\nAnswer: 858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 685 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3269 - 898 = -209*w - 2854 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/41, -3, -5\/403713 in decreasing order.\nAnswer: 5, -5\/403713, -2\/41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 25, f + a + 7 = -4*f + 5*a + 137 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 19*z - 34. Let a be x(17). Let j(u) be the second derivative of a*u**2 - 1\/6*u**3 + 0 + 3*u. Let q(y) = y**2. Determine q(j(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maydddmymdmuy. Give prob of sequence yu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 11. Let w be l(8). Suppose -d - w*h + h = -35, 15 = 5*h. Let n = 39 - d. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -262, -524, -786, -1048?\n\"Answer: -262*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 260 + 156 = 232 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -19, 15, 77, 173?\n\"Answer: x**3 + 5*x**2 - 10*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16844, -33806, -50752, -67676, -84572, -101434, -118256?\nAnswer: -135032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*v**3 + 3*a**2*v - 712*a*v**3 - 2*a*v**2 - 169*a - 6*v**3 wrt v?\nAnswer: -6*a**2 - 4272*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13046.\nAnswer: 2, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -642*o + 19267. Calculate d(29).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913643?\nAnswer: 97, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 1\/161, 1, 47.\nAnswer: -1, -0.3, 1\/161, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-3\/5))\/(c**0*c))**(-6))**(-2\/5) assuming c is positive.\nAnswer: c**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0\/g)**(-8)*g**(3\/5)\/(g\/(g*g*g*g**(1\/5)*g*g)*g) assuming g is positive.\nAnswer: g**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -2.98. Suppose 40*z - 2 = 39*z + t, 5*t + 4 = 2*z. Put r, z, -1\/4 in decreasing order.\nAnswer: z, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v + 22. Let z be (12\/2)\/(1\/3). Let l be z\/(-20) - (-3)\/v. What is the second biggest value in l, 0.1, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432020 (base 5) to base 6.\nAnswer: 151431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -245 - -625. Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = 3*g + 7656. What is the derivative of -g - 73*a - 244 + 614 wrt a?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-1 + (-3)\/(-6)*4). Solve 3*z + 2*r + 17 = 0, -5*z + u*r - 7 = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-10) - 2) + 54\/15. Suppose -i*u = -7404 + 776. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*x + 16*x - 30*x)*(2*x - x - 2*x)*(4*x - x - 6*x).\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h + h. Let m be 19*1 - (h + -2). Suppose -129*p + 117*p + 912 = 0. What is the highest common factor of p and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -56 (b) -10 (c) -2.267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 60. Let y(u) = 203*u**2 + 6*u - 5. Let s be y(r). What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*c - 406*c = 4*b + 32, -2*c + 9*b + 72 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:29 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 2*l**4 - 2*l**4 - 2 + 248*l**2 - 223*l**2 + 6*l - l as v + q*l**2 + x*l**3 + h*l**4 + k*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-17 + 10 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 = -18*d + 4*d. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.1 + -51. Let o = 78 - 469\/6. What is the closest to k in 1, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/3, -6, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -268, 230, 926, 1820?\nAnswer: 2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyyoyygyggy. Give prob of picking 1 g and 1 y.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(700))**2 + -5.\nAnswer: -40*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 7. Let m be j(3). Let b = 0 + m. Suppose -b*r - 33500025 = -3*n - 2*n, -n - 4*r = -6699980. Round n to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 14*y**2 + 13*y - 34. Let k = 1303 - 1318. Give v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 3*x**2 - 69*x + 36. Does 37 divide s(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = 6. What is the third derivative of -7 + 3*z**2 + 7 - 6*z**3 + 2*z**x wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -607 < -10332\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5374543.\nAnswer: 151, 35593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 8. Let j(w) be the second derivative of -w**3\/2 + 19*w + 17. What is u(j(g))?\nAnswer: 9*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2123*a + 364 = -2149*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 59 = 21. Suppose w - 5*u = -6 + o, 4*w = u + 37. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**8\/560 + 17*u**4\/24 - 6*u**3 + 27. Let f(c) be the third derivative of d(c). Differentiate f(t) with respect to t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.144 minutes to seconds.\nAnswer: 17288.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1071294 or 1071295?\nAnswer: 1071295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1087 = -907. Solve 0 = 16*x - 26*x + c for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 8, r: 3, h: 2}. Give prob of picking 1 h, 1 r, and 1 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -94709, -189425, -284145, -378869?\n\"Answer: -2*p**2 - 94710*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 9 = -b + 131, 2*b = -c + 19. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -26. Suppose s*a - 14 = 4*k, -a - 2*k = a + 16. Let o be (-2)\/a*(-57)\/2. Is -20 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 0, -0.86, 1\/7 in descending order.\nAnswer: 1\/7, 0, -0.86, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 29 = -5*c, 55*i + 17 = -3*c + 59*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 p when three letters picked without replacement from wwppzzzzzpgpzpzppg.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9863.34 rounded to the nearest 100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -2 - 104\/(-4). Let l = k + -20. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**4\/12 - z**3\/3 + 7*z**2. Let h be s(0). Let k be (0\/(-6))\/(h*1). Solve -u + 2 = -k*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 8. Does 7 divide w(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 7573 = 18907. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 39\/20, -36, 2\/7, 3\/5, 1\/11, 1\/8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-24) + (-17)\/51. Solve 3*l - 2 - 13 = -3*w, p = 2*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 + 0.02. Let h = -270 - -264. Let r = -6.4 - h. Which is the smallest value? (a) r (b) 0 (c) f (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {q: 5, g: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 186257 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 3108 + 1806. Let j = v + -543. Solve j = 4*o - 5*x, -3*o - x + 11 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - (-4 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2*(-27)\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100001000001 + 11?\nAnswer: 10000100001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -1)*128\/40. Solve 9 = 4*c + 4*o - 3, 2*c - 3*o - d = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8418505 to the nearest integer?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.299*-1\nAnswer: 0.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78609402 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326620?\nAnswer: 2, 3, 5, 17, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*x + 96*x + x - 11*x to the form q + w*x and give w.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**2 - 653527*p - 1496156 wrt p.\nAnswer: 10*p - 653527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -571 + 551 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-60))\/((-6)\/(-15)))\/(20\/255).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*y**5 + 230*y**3 - 182525*y.\nAnswer: -1880*y**3 + 1380*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g + 131 = -11*z, 3*z + 4*z - 3*g + 61 = 2*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -41?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61226 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-7)*(-6)\/(-9). Suppose 11 = -17*o - 6. Put -5, o, j in ascending order.\nAnswer: -5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5304 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5408 in 1\/4, -3, 6, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -877679 = -877679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14550889, 29101765, 43652641, 58203517?\nAnswer: 72754393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 + 115 = 24*w - 229 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -179 * -20337\nAnswer: 3640323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - v - 2*b = 18, b = 3*v + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27036*u - 162054. Give y(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 11*g**3\/6 + g**2\/2 + 10*g. Let w be o(1). Let t be (w\/(-140))\/((-4)\/10). Is 1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8094 divide 40092466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15303 divided by 12037.\nAnswer: 15303\/12037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 19*u = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -670791*j*r + 730040*j - 1 wrt r?\nAnswer: -670791*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -243 in descending order.\nAnswer: 7, -2, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.01184 millennia to decades.\nAnswer: 5401.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1014 - 35?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 184 - -2475?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 10}. Give prob of picking 2 h and 2 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -82928*h - 2404888. Give l(-29).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 39*v - 198. Let h be f(7). Calculate the greatest common factor of h and 1404.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away -278797285?\nAnswer: 278797267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/5 - 0)\/(43\/(-2580)*-144).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (100\/14)\/(123\/(-41902))*240. What is z rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 18*x - 1. Give h(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -22*j**2 + 0*j + 0*j**5 + 0*j**3 + 0 - 5\/12*j**4 + 19\/120*j**6. Find the second derivative of l(p) wrt p.\nAnswer: 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-4) - (41 - 52). Calculate the highest common factor of w and 11885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + h + 0*h)*(101*h**2 - 42*h**2 - 40*h**2) + (-1 + h + 1)*(h + h**2 - h) to b*h + c*h**3 + d + j*h**2 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**3 + 20*p**2 - 4*p - 159. Give a(-6).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**7\/210 + h**6\/36 + h**5\/15 + h**4\/12 - h**3 - 3. Let a(x) be the third derivative of k(x). Find t such that a(t) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*n**3 + 0*n - 2*n + 2*n**4 + 159*n**3 - 2*n**2 to q + k*n**4 + m*n**2 + r*n**3 + j*n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 + z**3 - 29*z**3 + (-2*z - z + 4*z)*(-2 + 2 - z**2).\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 256 = -5*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 * -2207.726\nAnswer: -750626.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1070*q**2 - 18137*q + 895. Determine m(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - n - 55, 0 = 121*b - 125*b + 5*n + 51 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 96630.\nAnswer: -1\/32210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 - -162. Suppose -2*n = -4*h - 7*n + j, -4*n = 2*h - 140. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 845, 1675, 2505, 3335?\n\"Answer: 830*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4 - 8368197*c**3*h**2 + 13*c*h**2 + 10*c + 10257*h wrt c?\nAnswer: -12*c**2 - 50209182*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1)*(-24)\/(-32)*-16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - u + 483, -3*i + 7*u + 273 = 2*u. Let v be 10 + -8 - (95 + -1). Let x = i + v. Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:35 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 0.169600742\nAnswer: -1.269600742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1071+-920.65216\nAnswer: 150.34784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zze when three letters picked without replacement from nelzeezeene?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppqzpqqzqqzzpppqp. Give prob of picking 2 q.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30))\/(16\/40)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-890)\/89)\/(50\/14)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:07 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 0*t - 3*t - t + 10*t - 6*t**2 + 2. Let s be w(5). Find the first derivative of -6*h**3 + s - 4*h**3 - 6 wrt h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1442100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 2149 = d + 2377, 5*d = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2254785?\nAnswer: 3, 5, 13, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p + 6. Let i(t) = 11*t + 9. Let a(s) = 5*i(s) - 6*y(s). Determine a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.97? (a) -2\/11 (b) 17 (c) 1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*h**2 + 8475 - 16*h**2 - 4239 - 61*h**2 - 4236.\nAnswer: -232*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5537 + -1.5537. Which is smaller: 13788 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1032303 - -323?\nAnswer: 1033131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12048, -12071, -12138, -12273, -12500, -12843, -13326?\nAnswer: -13973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 5, 1, -3, 19842\/5, 2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -7694195 and -7694197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) -5 (b) -4\/7 (c) -2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**2 + 6*o - 22. Let z be g(4). Let -2\/9*x**z - 2\/9*x**3 + 2\/9*x**4 + 2\/9*x + 0 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from hawppphhhwhhwhhhhp.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828390 to the power of 1\/2, to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -76 + 2993\/41?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, n: 3, p: 5, c: 1, z: 2}. What is prob of sequence pczp?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 11. Suppose 24 = 4*g - 16. Suppose x = -x - g. What is the units digit of y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45730584 and 78.\nAnswer: 594497592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 7 - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(4\/(-54)*45\/(-18)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -743, -740, -727, -698, -647, -568, -455, -302?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -208420.062 to the nearest 10.\nAnswer: -208420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b442 - -db?\nAnswer: -8b356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-14)*(-21)\/3. Suppose -2*o = o - l. Suppose 0*t - o = -2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let z be f(5). Suppose -3*i + 72 = i. Suppose -3*w = -0*w - i. Calculate the highest common divisor of z and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:45 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1314, -2180, -3632, -5670, -8294, -11504, -15300?\n\"Answer: -293*s**2 + 13*s - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (35*43\/(-4515))\/(-4*2\/(-12))*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -0.12. Let n = -0.0327 + 0.2327. Which is the third smallest value? (a) j (b) n (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92473 is divided by 858.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -24, -5\/43, 0.1, -2\/15, 0.3, 0.8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2429 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1730ac - 4?\nAnswer: -1730b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1484, -2187, -3400, -5123, -7356, -10099?\nAnswer: -13352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*c - 893, -a + 1117 = 4*a + 4*c. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - 47\/4*1. Let f be (-3)\/p + (-2)\/(-16)*-2. Solve 8 = -f*h - 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.2 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 51, 92, 153, 240, 359?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + (-57)\/(-9). Let m = 24 - 8. Suppose 4*l + 0*l - m = 0. Is q <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -693*z + 6909. Determine t(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(-11\/4)\/(p*p**(-2\/5))**(5\/12) assuming p is positive.\nAnswer: p**(-29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 - -110110011110?\nAnswer: 110101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kggkgggggggkggg. Give prob of sequence kkgk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-4 + sqrt(1539))*-2.\nAnswer: 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 379*x\/2 + 3759.\nAnswer: (x + 21)*(x + 358)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 83960*w\/3 + 167912\/3.\nAnswer: 2*(w + 2)*(w + 41978)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -279318 and 126.1?\nAnswer: 279444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427\/1299 + 2\/433. Let g = 0 - 0.6. Let l = -1 - g. Which is the nearest to -1\/2? (a) 2\/5 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 - 52\/(-65). Let u = 7 + -3. Put s, u, -3\/7 in ascending order.\nAnswer: -3\/7, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 15*i**3 - 12*i**3.\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**4 - 140*p + 294.\nAnswer: 4*p**3 - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2581 + -2573. What is the greatest common divisor of 1888 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((140\/16)\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa8063 + -5b?\nAnswer: -aa8102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 < 361\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * 14429.\nAnswer: -4617.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*r**2 - 1642*r + 1642*r)*(-2*r**2 - 3*r**3 + 2*r**2).\nAnswer: -375*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 5 - 1 - 2)*(2*c**3 + 2*c**2 - 2*c**2) in the form n + g*c**2 + p*c**3 + d*c + j*c**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -3 (b) 2 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) 18 (c) -2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, -1, 122808 in descending order.\nAnswer: 122808, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1 + -3 + (-14)\/18. What is the biggest value in 2, -5, -1, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Suppose 5 = 5*z + l. Solve -5*o + 20 = -z*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -2a65403?\nAnswer: -2a653cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 12*k + 18. Let g(u) = 2*u**3 - 10*u**2 + 9*u - 8. What is the units digit of g(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = 2*p, -2*c - 4*p + 10 = -0*p. Let n(h) = h**3 + 6*h**2 + 5*h + 2. Let s be n(c). Factor -3*m**2 - 2*m - m**2 + s*m**5 + 0*m**4 + 4*m**4.\nAnswer: 2*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10452 is divided by 3477?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a - v + 8, -v = -4*a + 12. Find the second derivative of 10*o**5 - 5*o**5 + 0*o + a*o + o wrt o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -92?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -64. Suppose s + 2 = u. Let d(t) = -6*t - u*t + 6*t. Let z(m) = 2*m. What is d(z(f))?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/1750*14*8\/1?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s - 3*j + 9, -5*s - 4*j = -12. Solve -4*b - 3*v - 7 = s, -3 = b - 4*v + 6*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 - 4572*q**2 + 1322304*q - 9033472 = 0.\nAnswer: 7, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*p + 538*p = -18. Put p, 0.4, 2\/3, -4 in decreasing order.\nAnswer: p, 2\/3, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 8*x + 14. Let f(n) = -3*n - 5. Let i(z) = -8*f(z) - 3*w(z). Let h(a) = -19*a**2. Determine h(i(b)).\nAnswer: -684*b**4 + 456*b**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -51*n**2\/2 - 15. Let b(v) = -v**2. Calculate o(b(s)).\nAnswer: 51*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57143538961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31125 and 19173.\nAnswer: 2396625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5292, 3466, 1644, -168, -1964, -3738, -5484, -7196?\n\"Answer: w**3 - 4*w**2 - 1821*w + 7116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8562\/1976395*(1\/3)\/(9\/(-45)).\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7812 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8090 - 4554. Let q = -2472 + d. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*m - 5*p + 8, 12*m - 2*m - 3*p = 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + (26 - 32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*d - 2*d - 287, -3*d - 299 = -5*f. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 7. Let l be 2\/c + 51\/42. Let j be (-4)\/(5\/(10\/(-4))). Is j bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 7. Let b(r) = 4*r + 7. Determine -5*b(w) - 6*l(w).\nAnswer: -2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 + 88\/16. Let b(j) = -k + 12*j - 4*j + 3 + 4. Does 19 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 9:41 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 24)*(-3)\/(-9)*3. Let r = -228 + 573. Suppose y = -2*h - 0*y + 339, -2*h = 3*y - r. Calculate the highest common factor of a and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 997 = 3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210110222 + 101221?\nAnswer: 210212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 - 3*r**2 + 13 - 2 + 7*r - 2*r. Let v be z(-8). What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkrkrgrrrgrgrkrrkrr. Give prob of picking 1 g and 1 k.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.67 or 7.741?\nAnswer: 7.741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 15 = 0. Suppose w*q - 4*q = -1. Which is smaller: -2\/19 or q?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517.53 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) + -2*sqrt(153) - sqrt(153)))*6)\/(sqrt(63)\/sqrt(28)) + -4*(1*(sqrt(68) + 0))**2*6.\nAnswer: -1632 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q + 1. Let g be h(-4). Solve 0 + g = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((5 - 17) + 1 + -3 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - b + 2. Let m(h) be the third derivative of h**4\/8 + h**3\/3 + 3*h**2. Let n be m(-2). Let z be n + (-3 + -1)\/(-2). Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(11\/22*(-8)\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-4) + (-6)\/8. Suppose u*g + 12 = 5*w - 4*w, g = -5*w + 92. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (157\/2)\/(38\/76). Let c = -153 + f. Solve -d = 4*d + 2*w - 17, 2*d + 6 = -c*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 229.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705 or -655?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 3, w: 4, s: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*o - 2. Suppose 0 = -2*v + o + 11. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 61*y - 210. Solve 7 = -y*v - 13, -3*v = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1110286*f**3 - 3311456.\nAnswer: 3330858*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 16) to base 6.\nAnswer: -2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -9367532\nAnswer: -2\/2341883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594359984.\nAnswer: 2, 17, 241, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1812)\/(-156) + -16 + (-9 - -9) + 5.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1520950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28539430*v**2 - 30366763*v?\nAnswer: -57078860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - w + 4882 = 0, -r + 1630 = 11*w - 10*w. What is the greatest common divisor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(3 - 3 - 20*k) - 10*k - 6*k + 20*k + 26*k + 0*k + 2*k - 8*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139.77 + 142. Let p = -1.93 + u. What is the nearest to -16 in 3, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 869 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 + 70551?\nAnswer: 70601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - m + 18 = 0, 78*x - 6 = 79*x - m for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3913 divided by -13876.\nAnswer: 3913\/13876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 31*m**2 + 196*m + 20. Let u be y(9). Solve -7 = -a - u*w, a = -5*w + 5 + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 0. Does 3 divide k\/(-20) - (-34)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/7 - 110*r**4\/7 - 124*r**3\/7 + 96*r**2 = 0.\nAnswer: -3, 0, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247 - 247 + 38*f)*(f - 2*f - f - 2*f + 2 - 2 + (6 + 0 - 4)*(f - 3*f + 0*f) - 3*f - 6*f + 2*f) - 3*f**2 + 8*f - 8*f.\nAnswer: -573*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -12, -4, 4, 12, 20?\n\"Answer: 8*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 20. Let c = d - -23. Solve -4*i + 2*p = -3*p + 33, -3*i - 16 = -c*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/33*4)\/((-4)\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. Let u be (-93)\/(-6) + f\/(-6). Solve u = 4*v - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77238 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-25))\/((-3)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*o + 0*o = 26, 5*p + 2*o + 10 = 0. Let w be (30\/p)\/(1\/(-2)). Solve 6*x = x + w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 3*d + 2. Let z be t(1). What is the remainder when -1 - (0\/z + 10)*-7 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5054 = -1078*p + 1092*p. What is the greatest common factor of 57 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 1064?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/302450 and 28\/759.\nAnswer: 9980850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3057 in -0.02, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**2 + 39*v + 50. What is the units digit of f(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2370263 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.4. Let k = 0 + i. Let s = 1628 - 13025\/8. Which is the nearest to k? (a) 2 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*t = -18*t - 51*t + 3588 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1169098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 725130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8461733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*z**3 + 762*z**3 - 144*z**3.\nAnswer: 1083*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 6991, 8001, 9745, 12223, 15435?\nAnswer: 19381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 940820 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -802*c. Let b(p) be the first derivative of -5*p**2 + 218 + 8*p**2 + 48 - 2*p**2. Give b(k(z)).\nAnswer: -1604*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/7)*y**4)**(-6\/7))**(1\/78) assuming y is positive.\nAnswer: y**(-29\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -42. Suppose -13*r + 45 = -a. Factor r*m**2 + 16*m - 20 - 12*m**2 + 6*m**2 + 5*m**2.\nAnswer: 4*(m - 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 3*k - 5*k**2 - k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0471586 less than 10305?\nAnswer: 10306.0471586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 39157348 divided by 4694\nAnswer: 8342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 27*k + 9728. List the prime factors of g(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -34.6. Let b = -8 - m. Let u = 3.34 + b. Round u to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 7*a**2 + 1118*a + 2224. Determine g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 + -6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6\/5)*n*n**(-30)*((n*n*n**(-11)*n)\/n)\/(n\/(n**(-18\/5)*n)) assuming n is positive.\nAnswer: n**(-214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13865)\/2 + 4)*(-6)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by -4 - 4\/(28\/(-357))*(-8)\/(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 6*t - 4*t - 24, -2*t = 3*p - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 24*k**3 - 6*k**3.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*z + 35*z - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-20))\/(4\/(-10)). Suppose -5*f = 2*j + 5, -j - 4*f - 4 = -0*j. Suppose -n*k + 5 + 37 = j. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 1. Let a be u(1). Let j be (-2)\/(-6) - 20\/(-12). Solve j = a*x - 5*k + k, x + k - 4 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(1 + s + 1 + 0).\nAnswer: -3*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggpk when four letters picked without replacement from {g: 3, k: 6, p: 2, h: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 24*r + 37. Let h = -330 - -341. List the prime factors of a(h).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 10*o - 150. Suppose -2*d = 3*d - o. What is the first derivative of 8*l**2 + 13*l + d - 13*l wrt l?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -4 (c) 255\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 91\/(-130)*(5 - (13 - 6)) + -2. What is the second biggest value in v, 5, -5, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - ((sqrt(684) + 1)*1)**2) + 5 + (sqrt(684) + -3 + sqrt(684)*-1)**2 + sqrt(684)*-1 + 5.\nAnswer: -666 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:01 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhgzif. What is prob of sequence zxg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 32409.99 to the nearest 10.\nAnswer: 32410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 716383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114.29 - 116. Let w = 1.8 + g. What is the third biggest value in w, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1184, 0.5, -98, -4, -2, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117657 by 3828.\nAnswer: -39219\/1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130533 - 49023. What is the ten thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = 39 + 136 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r. Let o(x) be the first derivative of 11\/2*x**2 + 6 - 4*x**3 + x. What is 22*h(l) + 2*o(l)?\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:59 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 + 826*c + 823. Let y(s) = 110*s**2 - 18175*s - 18105. Let d(q) = -45*n(q) - 2*y(q). Factor d(w).\nAnswer: 5*(w - 165)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 293, 2, -2, 39, 3, -4 in increasing order.\nAnswer: -6, -4, -2, 2, 3, 39, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -312, -288, -262, -234?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 0 + m + 175\/6*m**4 + 1\/48*m**6 - 31\/24*m**5 + 4*m**2 - 245*m**3. Find u such that a(u) = 0.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = 3*g + 4*w, w = -4*g - 19. Is 2 a factor of g\/(-18) - 224\/(-126)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377767 is divided by 2391.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:59 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 30*m**2. Let b(d) = -4*d - 3. Let s(j) = -j - 1. Let v(n) = b(n) - 3*s(n). Give r(v(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.58 and 181290?\nAnswer: -1374178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43060841 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*y**2 - 7533*y**3 - 52*y**2 + 15065*y**3 - 7568*y**3.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47698657?\nAnswer: 1097, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (6*(sqrt(2430)*2 - sqrt(2430)))\/(-1*sqrt(640) - (sqrt(1210)*2 + sqrt(10))).\nAnswer: -54*sqrt(3)\/31 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let w(u) be the second derivative of 0*u**2 + 0 + u + 0*u**3 - 1\/4*u**4. Determine w(t(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 744072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 + 324. Find the first derivative of -39 - 45 + y*n - 16 - 38 - 29 wrt n.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/10 - 2\/(-5). Let d = 1 + y. Suppose 6*f - d*f = 12. Let a(g) = -5*g + 2. Let l(x) = 4*x - 1. What is f*l(h) + 3*a(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 85*i - 20*i - i**2 - 30*i + i**3 - 36*i. Let g(o) = -4*o**3 + 3*o**2 + 3*o. Calculate 2*g(v) + 6*j(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -8. Let m be 6 - (0 - 1)*-1. Which is the biggest value? (a) m (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18258 and 2940612?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583 - 2288*q + 710 - 3834 with respect to q.\nAnswer: -2288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64 + 704?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2, -21\/38, 0.25, 5\/4, 2\/13?\nAnswer: -21\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*h - 2 = 0, -2*i - h - 22 = 2*i. Let f(u) = u**3 + 6*u**2 - 6. Determine f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 48, 74, 120, 192, 296, 438, 624?\n\"Answer: z**3 + z**2 + 2*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6689.1 + -6689. Suppose -5*k - 493 = 4*o, -4*k + 2*o - 416 = -2*o. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -76*g**3 - 7*g**2 - 22. What are the prime factors of j(-8)?\nAnswer: 2, 3, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135205216 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361564*p - 246577 with respect to p.\nAnswer: 361564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -119, 3 in decreasing order.\nAnswer: 3, 0, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681325 is divided by 40077.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzyyfykvuyzzukuuyzy. What is prob of picking 1 z and 1 u?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 14 + 25 + -33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 796270766 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.85 + 1. Let y = a + -0.45. Let p be 3*(-1)\/2 - 494\/(-468). Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 1)\/(9\/6). Suppose -5*a - 3*r + 15 = -2*r, 2*r = -2*a - 2. Differentiate -w - a + p**3 + 4 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 347, 1, -5 in descending order.\nAnswer: 347, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d + 1771 = 133*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*a + 51, -2*s + 2*a - 8 = -3*s. Calculate the remainder when s is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18057\/2422 - 156\/173. Find the common denominator of (0 - (-65)\/40)*(-14)\/(-10) and z.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 5643378?\nAnswer: 28216890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4167*r**2. Let p(u) = -u. Determine p(f(n)).\nAnswer: 4167*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 30. Suppose g - c - 29 = -5*c, 0 = -5*g + z*c + 255. Let a = 51 - g. Solve -4*p + 2*r + 12 = 0, 5*p + 3*r = a*p + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 2*v + 0*v**2 - 8*v + (-3*v**2 + v - v)*(-3 + 2 - 1).\nAnswer: 4*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*i**2 + 113446 - 226862 + 113416.\nAnswer: -103*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25809\/8 - -3217. What is the common denominator of 3 + 1 - 693\/180 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2079 + -1475. Suppose 7*w - 880 = a. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/(-21)*(-1)\/3. Let q = 70 - 283\/4. What is the second biggest value in q, f, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.0986.\nAnswer: -0.03944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -3105, -7431, -13597, -21615, -31497, -43255?\nAnswer: -56901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 1, a: 4, q: 4, y: 2, l: 1}. Give prob of picking 1 a and 2 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 2*q + 3*q. Let s(x) = -11*x**2 - 6*x - 2. Let c(h) = -23*h**2 - 15*h - 5. Let d(f) = -2*c(f) + 5*s(f). Calculate d(o(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10865 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -63.6 * -0.2\nAnswer: 12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*l + 17, -9*c - 3*l = -4*c - 72. What is the greatest common factor of c and 630?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -30 + 0*s**2 + 7465019*s - 7465001*s - s**2. Calculate a(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 530.5 + -531. Which is the nearest to -12? (a) -4\/3 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -48) + -109 - -2\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 8*u**2 + 4*u + 5. Let m be n(-7). Let k(r) = 5*r**2 + 6*r + 2. Let q be k(-2). Solve q = 4*a + m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*v**5 - f**2*v**2 + 6*f**2*v - 41*f*v**5 - f*v**2 wrt v.\nAnswer: 60*f**2*v**2 - 2460*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:08 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24604 or 1861?\nAnswer: -24604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(80) + (3*sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80)))**2.\nAnswer: 7\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + h + 1. Let i be t(-1). Suppose -5*n = 3*v + 33, -9 = 3*v + 3*n - i*n. Let j(r) = r**3 + 5*r**2 - 8*r - 5. Is 7 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30600 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -141330051312 and -3?\nAnswer: 141330051309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134455 - -83555. What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -1227\/7*a - 408\/7 - 9\/7*a**2 = 0.\nAnswer: -136, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21*r - 7. Calculate z(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3804 by -1902.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -824, -1357, -1888, -2417, -2944?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5*(0 + sqrt(76) + 5 - (sqrt(76)*-1 + 5 + sqrt(76))))**2 + -2*(4*(0 + sqrt(76) + -1))**2).\nAnswer: -384*sqrt(19) + 1692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 39 = -4*m + m, -4*o + 42 = 2*m. Suppose -d = -2*d + 3. Suppose d*g - o = 27. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = y - 15, 3*y - 3*j = -5 + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*d**3 - 434*d**3 - 424*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 1266*x**3 + 479577*x**2 - 47157848*x = 0. Calculate x.\nAnswer: 0, 152, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:03 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29365145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 301232, 301234, 301236, 301238?\n\"Answer: 2*d + 301230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxxxxxxxyyxxy. Give prob of picking 4 y.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 2\/207, 0.2 in decreasing order.\nAnswer: 62, 0.2, 2\/207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*s - 4*v, -3360*s = -3355*s + v - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/70 and 109\/910.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 3 = 41 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2931*g. Let r(o) = -212*o - 210*o + 855*o - 215*o - 215*o. What is r(m(t))?\nAnswer: -8793*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/((1*sqrt(18))\/sqrt(2)))\/(((sqrt(605) - -2*sqrt(605))\/sqrt(11))\/sqrt(11)) + 3.\nAnswer: sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 57930130 divided by 41\nAnswer: 1412930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (sqrt(440)\/(sqrt(10) + -3*sqrt(10)*-2) - (-5 + (sqrt(1100) - (sqrt(1100) + 0))))**2)*-5.\nAnswer: -6835\/49 - 100*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/3, 5, 7, 0.3, -399\/32, -1\/3, -0.12?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - (-5 + 0) - 14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**31\/(o\/o**(-1\/5)) assuming o is positive.\nAnswer: o**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799941, 1599928, 2399915, 3199902?\nAnswer: 3999889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/7)*s*s*s\/s**3*(s*s**(2\/3)\/s)**(-5\/14)*(s*s**(1\/2))**(-39)\/(s**4\/(s*s*s*s*(s*s\/((s\/(s\/(s\/((s\/s**(1\/5))\/s))*s))\/s))\/s*s)) assuming s is positive.\nAnswer: s**(-11687\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r - 3*r + 5*r)*(0*r - 2*r + 4*r) + 420*r - 28*r**2 - 420*r to v*r**2 + j + l*r and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*m + 20*m - 3*m**2 - 47 + 11*m + 3 to p + h*m + s*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750*a = 3*w + 2749*a + 50, -160 = 12*w + 4*a for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1173*0.3\nAnswer: -351.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -593 - 13 + 565*o**3 + 161 - 379 wrt o?\nAnswer: 1695*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - w + 3*w - 42*w**2 - 13.\nAnswer: -42*w**2 + 2*w + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c)*(-2 - 2 + 3) + (-3 + 1 + 4)*(2*c + 2*c + 0*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 0. Suppose -4*v + 6 = -4*m + 2*m, s = -4*v + m + 11. Solve 3*n + 3*g - 7 = -1, -4*n - 2*g = -v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 57*z**4\/2 - 85*z + 2. Let i(s) = 2*s**2. Give v(i(w)).\nAnswer: 1368*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from nnnnnnnnnbnnn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7, 2\/3, 0.2, -29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 1, a: 6, c: 1, q: 3, r: 1}. What is prob of picking 3 a and 1 j?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2141 or 2126?\nAnswer: 2141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 10:55 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y - 15. Let u be s(3). Suppose -3*k + a + 1 + 9 = u, -5*a - 5 = 0. Suppose 10*x = -k*x + 78. Solve 2*g - 6 = 2*n, 6*g - 2*n - x = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3475*a**3 + 3022*a**3 - 12549*a**3 + 3022*a**3 + 3027*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 6 (b) -1\/9 (c) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43871 is divided by 1266.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 - (-48)\/220.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.6535015 rounded to two dps?\nAnswer: -12.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 20212?\nAnswer: -20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1095792 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (276\/(-8))\/(-6 + 1 + 114\/24). What is the greatest common factor of 138 and x?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -766933\/297 - -683102257\/264924. Let s = -9327 + 2079951\/223. Let g = b - s. What is the common denominator of g and -83\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -15, -45, -75, -105, -135?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 14*q**2 - 2*q - 19. Is f(-14) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, -5*j = 5*k + 22 - 132. Which is greater: 287\/17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14015 - 13568. What is the remainder when x is divided by 237?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18397*u + 18393*u - 14 = 2*q, -1 = 11*q + 3*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.2217 kilograms to grams.\nAnswer: 24221.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:34 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15113546.\nAnswer: 2, 7, 1079539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87680 and 17120.\nAnswer: 9381760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:14 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - b + 10, -2*z + 3*b = -7 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/36 + (-2)\/(-8). Let r = -0.03 + -1.97. Let p be ((-1 - 0)*-1)\/(-2). Which is the nearest to r? (a) -0.1 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**5\/20 - y**4\/6 - 15*y**2\/2 + 96*y. Let g be i(-4). Solve 10 = s - 2*p - 0*p, -5*s = p - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290229 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + h**2 + h - 7. Let a be v(3). What is the greatest common divisor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -151*g**2\/2 + 352*g - 110. Differentiate u(z) wrt z.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u - 284. Calculate p(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*j - 6 = 1325*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 1 + 1 + (-b - 6*b + 6*b)*(-3 + 0 + 4) - 65*b + 72 - 72)*(-b + 0 + 0) to the form n*b + m*b**2 + a and give m.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or -7\/60?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:51 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-24)\/93) + (-1)\/8. Let t be 705\/5*(m\/(-6) + 0). Suppose -t = -s + h + 74, 5*s - 813 = -4*h. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 9:26 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 17 in decreasing order.\nAnswer: 17, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*n**2 - 271*n**2 + 2*n - 2*n.\nAnswer: 886*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18))\/((-45)\/26730*-1518)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -6, 29, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) 26 (c) -0.5 (d) -1983\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2332815, -2332856, -2332925, -2333022, -2333147, -2333300?\n\"Answer: -14*j**2 + j - 2332802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5453 and 35?\nAnswer: 27265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 - 11119522873 + 11119522864 - 7*a**3.\nAnswer: -15*a**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1449, 2814, 4 in ascending order.\nAnswer: -1449, 0, 4, 2814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -141.5. Put 2\/19, 0.4, i, -2 in descending order.\nAnswer: 0.4, 2\/19, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c093c (base 15) to base 10.\nAnswer: -3647082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6886 - -6883.398. What is b rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 1, 67, -193, 3 in descending order.\nAnswer: 67, 13, 3, 1, -2, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 454175*a**2 + 453968*a**2.\nAnswer: -207*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3410 (base 9) to base 4\nAnswer: 213120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 327 and 3021153.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 7. Let r be 5*((-14)\/(-21))\/(4\/(-6)). Let v be y(r). Let s(t) = t + 2. Determine s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + z + 0 - 2 - z**2 - 1. Let c(m) = -2*m - 3*m**2 + 12 + 13 - m - 17. What is -3*c(k) - 8*w(k)?\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61634425 (base 7) in base 14?\nAnswer: 987815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73.70965 millennia?\nAnswer: 737.0965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtxgrrtxrrgx. Give prob of picking 1 x and 2 r.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -1100110001011010000110?\nAnswer: 1100110001011001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31041378 divided by 10347126\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*20\/(-32) + -3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = 5*r, 5*r - 8*i = -3*i - 10. Suppose -r*d + a = -0*d - 13, -4*d + 12 = -4*a. Calculate the smallest common multiple of d and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -168\/5 - -34. Which is the smallest value? (a) n (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324.288 - -335.03.\nAnswer: 659.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 56*f**2. Let r(y) = -3*y**2. Give r(h(c)).\nAnswer: -9408*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -40*m + 33*m. Which is the second biggest value? (a) 24 (b) m (c) -1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 = 3*o, -2*o - 7 = -4*o + 5*i. Let h be (-2)\/o*(-1)\/(-2). Let x = -30812\/5 - -6162. Which is the nearest to h? (a) 2 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 0, -4*b + 3*b + 49 = 5*s. Let n = b - 24. Calculate the lowest common multiple of 9 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -70475*b. Let u(m) = 4*m**2 - 14. What is q(u(d))?\nAnswer: -281900*d**2 + 986650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -179, 15, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1 - 0)\/(-2). Let n = -11 - -5. Let u = 6.3 + n. Which is the nearest to -1? (a) 1\/2 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 9) to base 16.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24349317*q**5 - 66*q**2 - 68759*q.\nAnswer: -1460959020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*14\/126 + (-2)\/288*46\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*n = 3*n - 18, 20 = 5*n. Let p be ((-146)\/365)\/((-1)\/10). Solve 3*u = l*u - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + a**2 + 0*a**2 + 4*a**2 + 0*a**2 - 2*a**2 + (2 + 0 - 1)*(4 + a**2 - 4) - a**2 + 2*a**2 - 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16396 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3348 * 1.5\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5577, -5572, -5567, -5562, -5557, -5552?\nAnswer: -5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1034273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 - 1468*n**2 + 222370*n - 220904 = 0. What is n?\nAnswer: 1, 212, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + f - 22 + 12, n - 2*f + 13 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1661*a + 1660*a + 20 = -19*r + r - 63, 0 = 2*a + 5*r + 39 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21643981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-1 - -22 - (-27805)\/(-1328)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 1, -8712 in decreasing order.\nAnswer: 7, 5, 1, -8712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17\/34 + 400566\/4)\/(26 + -24)?\nAnswer: 7, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-100)\/8)\/5*-2. Suppose -w = y - 8, x*w - 2*y - 52 = -y. Suppose 0 = -4*z + w + 26. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408*y**3 + 144*y**2 + y.\nAnswer: -2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 5*s**4\/24 - 14*s**2. Let f(k) = 11*k - 5. Let y(q) = -12*q + 6. Let w(a) = -6*f(a) - 5*y(a). Give w(i(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62768*d**3 + 3*d**2 - 189*d - 199*d + 388*d - d**2.\nAnswer: 62768*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -541 or -542?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 7*m**2 - 3*m + 1. What are the prime factors of p(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12 + 28 = 0. Suppose -5*f + 0*n - 15 = 5*n, 5*f + 19 = -n. Let u = 4 + f. Solve -3*s - 3*z = 12, 5*z - z + m = u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -169\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16*(-3)\/(-200))\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + -12 - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x + 32. Let f = 4932 + -4927. Give o(f).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -103.02.\nAnswer: -257.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 4*s**2 - 1. Let o be 15\/(20\/(-4)) - -7. Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323134134330 + 10?\nAnswer: 323134134340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2056.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/13)*f*f**(1\/47))\/(f\/f**(-2\/39)*f**(12\/7)\/f) assuming f is positive.\nAnswer: f**(-13498\/12831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = t - 2, -3*t + 5*z = 0. Suppose -4*y - 4*o = -0*o, 0 = -y - 3*o - 6. Let q = y + t. Solve -h - q = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1103, -3185, -7233, -14231, -25163, -41013, -62765, -91403?\nAnswer: -127911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24380656*d - 24380656*d + 210*d**5 - 15 + (-3*d - 2*d**4 + 3*d)*(2*d + 0*d - 4*d) - 2*d**3 + 2*d**3 + 2*d**5.\nAnswer: 216*d**5 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txxt when four letters picked without replacement from {t: 3, x: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1148 - -1157. Suppose -2*t = -t. Suppose t = -0*s + 5*s + k - o, s + 19 = 5*k. What is the common denominator of 51\/10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3292\/(-19824) + (-62)\/(-372). Sort 3, -1, w in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21100101002121 (base 3) to base 10\nAnswer: -3904594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -1\/10, 0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 513926280 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**5\/20 - 2*c**4\/3 - 4*c**3\/3 - 2*c**2 - 5*c - 40. Let g(n) be the first derivative of f(n). What is g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15392 is divided by 3632?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20216.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m + 511 = t, 5*t = 3*m + 2541. Suppose 5*s + 237 = t. Calculate the smallest common multiple of 22 and s.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224\/77 + -7 + (4 - 0)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -27. Let y = -0.66007 - -0.36007. Sort -1\/7, y, z.\nAnswer: z, y, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.737347267 and 3.4.\nAnswer: -9.337347267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjt when three letters picked without replacement from qtvtjwj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5.34 times -0.02\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174321.\nAnswer: 3, 7, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.84 * 3.38\nAnswer: 12.9792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*y + 29, 5*d - 5*y - 15 = -y. Let r = -55 - -59. Suppose 5*f - 79 = -3*m, 0*m - 82 = -2*m + r*f. What is the remainder when m is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212486915.\nAnswer: 5, 29, 1465427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*v + 237*v - 24 - 43*v - 13*v + 2.\nAnswer: 75*v - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 54) + (0 - -3 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08698 and -10076.\nAnswer: -10076.08698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 9, c: 1}. What is prob of picking 3 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from ssssswss.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 14. Determine y(27).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmwkfkktmmkfk. What is prob of sequence mtm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.214 - 11.114. Let s = -2.1 + j. Let b = -13.0000022 - s. Round b to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*v - 321*v + 14*m = -638*v + 64, m = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -15 + (-6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8928 divide 624855348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 17*d**2 + 2*d - 40. Let c be l(-8). Solve -3*v = 2*h - 18, -3*v + c = -4*h + 2*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -625, -348, -71?\n\"Answer: 277*s - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64667.5319 - -30769.3738. Let h = x + 33927.1581034. Let c = h + -29. Round c to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37 - 4*g + 2*g**3 - 76*g**2 + 84*g**2 - 3*g**3 + 9*g. Let k be j(8). Solve 3*h + 2 = -0*h - 5*x, -k*h + 4 = -x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2dc4 (base 16) to base 2.\nAnswer: -10110111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/((-44)\/(-526)). Let b be ((-2513)\/12)\/((-22)\/(-4)). Let x = b - u. Find the common denominator of 99\/4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533 (base 6) in base 9?\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9)*-57 - -1. Suppose 0 = 5*k + 3*p + g, 5*k + 1 = 3*p - 20. What is the units digit of (k\/2)\/((-6)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17916*k**5 - 22500*k.\nAnswer: 358320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1100)*22)\/((-6)\/20)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578368 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08373 take away 3410?\nAnswer: -3410.08373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2926482 and 1963.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 2*v - 3*v)*(0*v - 2*v + v)*(10741*v**2 + 9830*v**2 - 12520*v**2) + 4*v**4 - 2*v**4 - 3*v**4 + (4 - 2*v - 4)*(2*v - 2*v + 2*v**3).\nAnswer: 8046*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 40 = -4*h. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (91 - 13) + -11 + -199 + 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 508*d**6 - 16842*d**3 - 522*d**2 + 31680*d wrt d?\nAnswer: 60960*d**3 - 101052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/15, -2\/21, 2, -1.46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-5)*o**(-30) assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 45*m - 45. Let q(l) be the first derivative of l + 4. Let r(y) = p(y) + 5*q(y). Factor r(j).\nAnswer: -5*(j - 8)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 643995 - 364995. Round h to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15 = -3*z - j, -2*j = 6. Suppose -18 = -a + 4*i, a + 2*a - z = -2*i. Calculate the least common multiple of a and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891911837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/2 - 117*m\/2 - 2945 = 0.\nAnswer: -38, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-2) + 2)\/((-15)\/30). Let b = y - 25. What is the smallest common multiple of 4 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9419092 + -0.043?\nAnswer: -9419092.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1535)\/((-4)\/(-6) + -1). Let o be (1 - 4)*((-59)\/3 + 3). Suppose 47*u - o*u = -k. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -17. Let x(w) = w - 3. Let n be x(8). Suppose -n*d = -g*d - 11. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -568697133 and -274.\nAnswer: -568697407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2\/3*p**3 + 3\/2*p**2 + p - 1\/2*p**4 - 1\/6*p**6 - 3\/5*p**5 + 2. Factor z(h).\nAnswer: -(h - 1)*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 653, 599, 523, 425, 305, 163?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/14541956 and 7\/144?\nAnswer: 523510416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 7. Let n(t) = t**3 + 5*t**2 + 5*t + 4. Let x = -9 - -5. Let w be n(x). Calculate p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:28 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10962281, 3, -3 in decreasing order.\nAnswer: 10962281, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644152?\nAnswer: 2, 3, 7, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 7*o + 3238. List the prime factors of w(0).\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c\/(c\/c**(-2\/9)*c))))\/c**0*c**(-1\/9)\/(c*c**(-4\/3)\/c*c) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13827419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m + 58 = -105*m - 3*j, -13*m - 5*j + 26 = -14*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 1118063*x**5\/20 - x**4\/6 + x**2\/2 - 3*x. Let u be b(-1). Let y = u - 41936. Round y to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 383*i + 14652 = -3314*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89147 = -4*k + 3*f + 89238, f - 90 = -5*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 12 - 3*t**2 + 4)*(-t - 5*t + 4*t).\nAnswer: 6*t**3 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 7*s + 504. Suppose -s = -2*h - h. Suppose -5*u - 5*o + 420 = 0, h = 4*u - 3*u + 2*o. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6080 is divided by 6039.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -540283821*l**5 - 300204876*l**2 wrt l.\nAnswer: -32417029260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2450 and 40551175?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 19. Let j(t) = 3*t + 16. Determine -6*j(f) - 5*m(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1010, 1017, 1028, 1043, 1062, 1085?\n\"Answer: 2*b**2 + b + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -3*h**4\/4 + 5*h**3\/3 - 5. What is the third derivative of q(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21913454.\nAnswer: 2, 10956727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6981*x = 210479 + 110647 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - (-215714)\/(-60). Let s = c - -3614. Calculate the common denominator of 28\/3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 210?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8 - 18*w - 16*w - 12*w + 42*w. Let t(j) = -j - 3. Let h = 13 - 10. Calculate h*a(x) - 8*t(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42.04475 tonnes?\nAnswer: 42044750000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(152) - (sqrt(152) + -1*sqrt(152))) + sqrt(152) + (sqrt(152) - sqrt(152)*-1)*-1)\/((sqrt(72)*2)\/sqrt(9) + 1*sqrt(648) + sqrt(648)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7041 - 7039. Let z(w) = -9*w**2 + 2*w - 1. Determine z(n).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 5. Let r(i) = -9*i - 9. Let d(g) = -7*q(g) + 3*r(g). Let w be d(-5). Suppose 104 = -w*t + 5*t. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -18.74175\nAnswer: 9.370875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m + 8 = 0. Let c be -2 + -6*m\/2. Suppose 0 = -5*d - 6*n - 78, -2*d = -3*n - 75 + 36. Solve 2*t + d*t = -c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2880 and 13120.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1680 and 35.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + 6)) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/4 - (-4)\/(40\/15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 1\/2*p**2 - 37 + 17*p. Let w(o) = -o. What is d(w(h))?\nAnswer: -h + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010012 (base 4) in base 12?\nAnswer: 1245a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 209?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + b - 10. Let d(c) = -7992*c**2 + 10803*c + 180. Let l(p) = d(p) + 18*u(p). Find the second derivative of l(r) wrt r.\nAnswer: -16092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 11, 9, 7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4162.9960944 - 4163. Let z = 0.004 + f. Round z to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 273, 292, 331, 396, 493, 628?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/((-75)\/160). Let i + 22\/15*n**3 - 14\/15*n**2 + 2\/5*n**4 - 22\/15*n = 0. What is n?\nAnswer: -4, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or -4459\/2?\nAnswer: -4459\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 3. Let t = 87.385 + z. Let u = -0.015 - t. Which is the smallest value? (a) 4 (b) 5 (c) 0 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 598 - 339. Let o = n - 231. Solve 5*b + o - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.12 + 0.12. Which is the second smallest value? (a) 1 (b) h (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75209 + 37575 - 41*c + 37634.\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -14. Suppose -f - 2*b - 136 = 0, -4*b = h*f - 2*f + 692. Let m = -55 - f. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 less than -16892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*6 + 1 - (-5 + sqrt(175))*6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -26*j + 24*j - 190, -3*v + j + 287 = 0. Suppose 44 + 4 = 4*f. What is the greatest common factor of v and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -262 and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k - 66. Let m be b(-6). Suppose m = -2*s + 2*s - 2*s. Factor 5\/2*i + s - 1\/2*i**2.\nAnswer: -i*(i - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 3, 2\/4113, -1, -2, 2\/15 in decreasing order.\nAnswer: 4, 3, 2\/15, 2\/4113, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 285*g - 277*g - 3*d, -20 = 4*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 95*q + 27601. Determine a(-287).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21975*p**2 + 3*p - 421436?\nAnswer: 43950*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29069151*o**3 + 10339932 wrt o.\nAnswer: -87207453*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*x**2 - 41*x**2 - 42*x**2 - 8*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 100, -3, -5, -6, 4 in decreasing order.\nAnswer: 100, 4, 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008139 rounded to 5 decimal places?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38475 divided by -13.\nAnswer: 38475\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 5:44 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 7*x - x + 4 - 2*x - 3*x. Let z(i) = -130*i + 71. Let u(a) = 3*j(a) - z(a). What is the derivative of u(r) wrt r?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 - 10*l + 11. Suppose 12 = -4*z + 48. Let d be j(z). What is the common denominator of (-83)\/(-2) + d + -2 and -31\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.39 * 0.05.\nAnswer: 0.0695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3379790, 0, -1, -3\/5 in descending order.\nAnswer: 0, -3\/5, -1, -3379790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 3. Let a be -8 + 7 - (-6 + 0). Let c = a + h. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*r + 3639 + 110*r - 1366 + 135*r.\nAnswer: -2*r + 2273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12540 + 330*q - 12555 + 25094)*(0*q - 4*q + 6*q + 5*q - 2*q - 4*q - 2 - q + 2 + (-q - 2*q + q)*(-1 - 3 + 5)).\nAnswer: -660*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**6\/2 + 5*l**2\/2 + 13*l. What is the first derivative of v(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401216 (base 16) to base 9\nAnswer: -7808762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5 + 0 + 6*s**2 - 4*s + 0*s**2. Let b(o) = 11*o**2 - 7*o + 10. Suppose -2*q - 14 = -0. Let c(t) = q*f(t) + 4*b(t). Differentiate c(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 85 = -5*h, 7*t + 1 = -0*t - 13 + 4 - 25 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**4 - 132*r**3 + 144*r**2 + 80*r = 0. What is r?\nAnswer: -2\/5, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/130*(-8)\/(-44))\/(2\/(-4))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 - 8*q + 2)*(-2*q + 1 - 1 + (0*q - 2*q + 3*q)*(10 + 1 - 12)).\nAnswer: 24*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((132\/(-9))\/11)\/((-8)\/64). Factor 4\/9*u**4 + t*u + 88\/9*u**2 + 32\/9*u**3 + 4.\nAnswer: 4*(u + 1)**2*(u + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u - 9 + 16 + 8 + 23. Calculate the remainder when v(8) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/32)\/(32\/(-13440)*-35).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3 + 1\/3. Which is the closest to 1? (a) 2 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 0, 2*m - 32 = -2*m + 3*b. Suppose 4*t + 2*k = 4, -8*t + 3*k = -m*t - 3. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -20*h - 2. What is the remainder when 53 is divided by d(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*a)*(-2*a - a - a)*(1 + 6 - 4)*(0 + 2*a**2 + 0)*(-2 + 1 - 1).\nAnswer: 192*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/4983 and -34\/3354767.\nAnswer: 110707311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-18))\/(9*(-9)\/(-729)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125.7 - -126. What is the second biggest value in j, -1, -2\/15, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1141, 13, 1, 4 in descending order.\nAnswer: 13, 4, 3, 1, -1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 0 - 2 + 1 + 0 + (-1 + 3 + 0)*(3 + 1 - 3) + 3 - 2 + 1 + 0 - 3 + 2)*(-g + 3*g**2 + g) to o + u*g**2 + b*g and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 1. Suppose -2*r - 7 - 3 = 0. Let c(u) = u. Let o(a) = r*c(a) + 2*z(a). Let k(v) = v - 79 - 75 + 156. Give -2*k(j) + 3*o(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -24555?\nAnswer: -11\/24555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:42 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -7. Let f be 15\/2 + 6\/(-12). Is f at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1585 is divided by 493?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 3:24 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 - a**4\/12 - 7*a**2\/2 + 13*a. Let c be y(-3). Solve -r + c = -3*f, 18 - 4 = -2*r - 3*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*b - 176 = -11*k - 235*b, 0 = 3*k - b - 44 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 - 5*s**2 + 5*s - 4. Let u(n) = -n**3 - n**2 + n. Let y(l) = g(l) + 2*u(l). Suppose 6*k - 76 + 40 = 0. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l. Let f(i) = 1. Let u(s) = 1. Let x(v) = -6*f(v) + 5*u(v). Let z(h) = 4*h + 4. Let q(j) = 4*x(j) + z(j). Calculate q(g(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/32 and -77\/725408?\nAnswer: 725408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/11 - 5366*p - 177060\/11 = 0. What is p?\nAnswer: -29510, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -184*a + 2765. Let r be x(15). Solve -29*j + 26*j = r*z - 30, -5*j + 40 = 5*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (259\/(25900\/(-15)))\/(18\/(-70)).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2225808*v - 1. Let b(h) = -h. Give b(s(l)).\nAnswer: 2225808*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:45 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 201968790*p - 3399282677838675.\nAnswer: -3*(p + 33661465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/317485 and -55\/21.\nAnswer: 952455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*o + 737, 6*w - 5*w - 148 = -o. Calculate the remainder when o is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71818991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(11\/2)*(y**(2\/17)\/y)\/y assuming y is positive.\nAnswer: y**(157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11810*f - 1 - 25314*f - 150611*f.\nAnswer: -164115*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 76\/(-8)*55\/((-2640)\/(-288))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/(-12))\/8*108\/(-192)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p*q**2 + 19*p*q - 2*p + 2*q**3 - 47*q**2 + 2 wrt q?\nAnswer: -6*p + 12*q - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1770 and 20730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8538 + -8533. Solve 18*a + s = -67 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-3)\/(-24))\/(10\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4641586105 to the power of 1\/2, to the nearest integer?\nAnswer: 68129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-12 - -2 - ((-16 - 5) + 13 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50842.66 nanograms in micrograms?\nAnswer: 50.84266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 55) + 156 + -143?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160261752 by -3.\nAnswer: -1160261752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10557, 16335, 22113?\n\"Answer: 5778*b + 4779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*1 - (72 - 69). Suppose -3*g - 3*r = -4977, -b*g + 15*r = 19*r - 8295. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55510 - 55510 + 2*u**3 + 16*u + 11*u.\nAnswer: 2*u**3 + 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (78\/33 + -2)\/(-9 + 17 - 4). Which is the nearest to -1\/5? (a) 4 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4864.3 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84570814?\nAnswer: 2, 2741, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0375*100031.\nAnswer: -3751.1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 83 = -4*q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 440 = -104. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:11 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8478877 to the power of 1\/2, to the nearest integer?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -8\/3, 3\/2, -0.5, 3.\nAnswer: -8\/3, -0.5, 3\/2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 + -256 - (6 - 98 - 1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 2*p + p + 2*p - 5*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-1)\/(-3))\/((-2)\/12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 25. Suppose 8*q - 32 = -8. What is the lowest common multiple of g and (3 - 2)\/(q + (-87)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154632526 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from nnonnnnno.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 89*i**2 - 135*i + 256. What is u(43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 0.11\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 9*p**2 + 7*p - 5. Let f be j(-8). Let d(q) = 13*q - 9*q - 4*q**2 - 1 + 2 + 2 - q**f. Determine d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 20 - 193)*(3*r - 37 - 37 + 56) as v*r + j and give v.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3136?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 2*u**2 + (-2*u - 1 + 1)*(-u - 3*u + 2*u))*(1 + 1 + 3).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-208)\/(-56) - (-2)\/7. Suppose -p*a - 187 = 13. What is a rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47892 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 12 = 0. Suppose 3 = 2*c + 4*r + 25, -k*r - 17 = 2*c. Let i be (-6)\/40 + c\/4. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 - 100221012?\nAnswer: -101000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 - 6*n + 7. Let v be w(5). Let a be 16\/(-5) - v\/(-10). Sort -4, a, 0 in decreasing order.\nAnswer: 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 + (2 - (-2 + 1))\/3. Let b be n + -17 + 2056\/(-1026). Let f = -1529\/2565 + b. What is the second biggest value in -2, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:04 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215 + 58 - 411)*(-9*q**2 - 35*q**2 + 18*q**2).\nAnswer: 3588*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498 and 60.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.24 + 11.6. Let f = 0.594269124 - -3.045727906. Let v = o + f. Round v to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -417*n + 63*n + 264 + 222 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from wbnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*c - c. What is the third derivative of c + 0 - 1 - 3*d**6 - 3*d**2 wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25 and -0.22.\nAnswer: -25.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v**2 + 2*v - 6. Let h(u) = 5*u**2 - u + 2. What is -10*h(i) - 3*y(i)?\nAnswer: -2*i**2 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4588 - 9200 + 4612 + 1647*k.\nAnswer: 1647*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/6*-3)\/((-8)\/740800). What is d rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*g**3 - 32\/3*g - 16\/3*g**2 + 0.\nAnswer: -2*g*(g + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (25 + 101 - 88)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-1 + 0 - 1)*(8*m - 3*m - m)*(-22 + 10 + 34).\nAnswer: 176*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-27) - ((-14)\/7 - -2). Suppose 2\/3*a**2 + 0 + 4\/3*a - l*a**3 = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22125*h**4 + 6*h**3 + 2*h**2 + 158575*h.\nAnswer: -531000*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -37. Suppose x = 29 + j. Calculate the highest common factor of x and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 55 (b) -7.84 (c) 0.7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4646.516 hours?\nAnswer: 16727457.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -8. Let a(z) = -z**3 - 4*z**2 + 5*z - 7. Is a(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 622*s**2 - 3730*s\/3 - 5594\/9.\nAnswer: -2*(s + 1)**2*(s + 2797)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*g + 4. Calculate the remainder when 37 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4\/3 - 68*c**3\/3 - 360*c**2 = 0 for c.\nAnswer: -10, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -204.955, 3 in decreasing order.\nAnswer: 3, -0.2, -204.955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 507, 504, 497?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 10*z**3 + 965*z**2 + 22520*z + 11020 = 0.\nAnswer: -58, -38, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17346939 minus -4?\nAnswer: 17346943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 0.29660957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6068 and 10?\nAnswer: 30340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4225*w**4\/3 + 260*w**3\/3 - 5632*w**2 - 1040*w\/3 - 16\/3 = 0 for w.\nAnswer: -2, -2\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193.5 + 193. What is the biggest value in f, -6\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 3*w - 3*w + 16*w + 7*w - 9*w - 2*w + w + 2*w + (2 + w - 2)*(0 - 1 + 3) + 2*w + 4*w - 7*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*n - 198*n + 6*n - 4*n + 4*n + 2*n + 5*n - n - 5*n + (0 - 2 + 1)*(-2*n - 2*n + 6*n) - 3*n + 3*n - 2*n.\nAnswer: -185*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)*(-2 - -6). Let h(p) = -p**2 - 12*p + 5. Let u be h(-12). Suppose 5*o = 2*z - r, u*z - 2*o = -0*o - 1. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.97482 - 52.97252. Let d = x - -46. Round d to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88, 324, 722, 1282, 2004, 2888, 3934?\n\"Answer: 81*d**2 - 7*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k + 3 + 3 - 2 - k. Let n be v(-6). Calculate the greatest common divisor of n and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126.76 - -0.24. Let l = 62 - f. Is l > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnnnnbbnnnnnbnnbnb. Give prob of sequence bbb.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567263173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 7*n**5\/12 - n**4\/24 + 55*n**2\/2 - 13*n. Let r(u) be the first derivative of d(u). Let l(f) = 2*f**2. What is r(l(t))?\nAnswer: 140*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*m - 8607 + 66547 = 0, 3*m + 28969 = 2*g. Suppose 0 = 34*o - g - 2548. What are the prime factors of o?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. What is the third derivative of -4*h**3 + 3*h**s + 3*h**2 + h**2 - h**2 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**2 - 12*m**2 - 24*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4338.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6169*n + 2594 = 2701*n + 18203*n - 26876 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 - 62 = -3*z. Let u = z + 105. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -1587, 1, 2, 78, -3.\nAnswer: -1587, -3, -2, 1, 2, 7, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -135. Let h = s + 85. Solve 4*x = -5*m + h, 3*x = -5*m - 27 + 64 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33010 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1017 and 2147?\nAnswer: 19323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -117?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18818 - -24?\nAnswer: -18794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 12:45 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/40 - (-12)\/15. Suppose 12*s + 28 = 4*o + 16*s, y = -5*s. Solve -16 = -4*g + d, -4*g - d = o - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m. Suppose 3 = 5*t - 7. Suppose -g + 2*o = -t, o = -3*g + 4*o + 6. Let l(f) = -f**g - f**2 + f**2 + 2*f**2. Determine n(l(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from smsgssssssmsmssss?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - c = 14 - 12, -5*c - 10 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + t = -4*f - 3, 3*t - 9 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.051996 + -2710.845004. Let b = 2714 + y. What is b rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1999*f**2 + 15*f. Let m(i) = -19992*i**2 + 147*i. Determine -5*m(n) + 49*v(n).\nAnswer: 2009*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-12 - (-8 - 14)) - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-24))\/((288\/(-26112))\/(2\/8))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*h - 20 = 0, -8474*c + 4*h - 28 = -8476*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Solve -m*o + 5 = z - 5*o, 5*z + 17 = o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12622 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 550, 2083, 4640, 8227, 12850, 18515, 25228?\n\"Answer: h**3 + 506*h**2 + 8*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 6, -247, 37\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1369253, 1369221, 1369173, 1369109, 1369029, 1368933?\nAnswer: 1368821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 + 25 = 0. Suppose -a*o + 83587 = -113128. Suppose -4*w - o + 15343 = 0. What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:05 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*1\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 4*p + 2. Suppose 0*o = 2*o - 4. List the prime factors of r(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2 - 27\/(-6)). Let t = -391 + 168. Let x = t + 226. Sort 2\/3, x, g.\nAnswer: g, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*h - 1)*(-43 + 1 - 106) to the form l*h + w and give l.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 61*o**2 - 27*o**2 - 23*o**2 - 13*o.\nAnswer: -111*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171.7 + 172. Put -0.5, 11, p in ascending order.\nAnswer: -0.5, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 4*p**4 - p**4 + p**4 + 5 - 5 + (2*p**4 + p**4 - 5*p**4)*(0 - 4 + 6) - 5*p**4 + p**4 - 4*p**4.\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/134, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32798189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*d + 247, 168 = -h + 3*h - 5*d. Let v(c) = -c**3 + 34*c**2 - 209*c + 7. Let s be v(8). Does 9 divide h + 2*((-3)\/(-2) + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:50 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00104133 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*-3*(1309\/42)\/(-17)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 18 = 3*z + 3*a, 4*z + 14 = a. Let g = z + 8. Suppose 0 = -g*o + o + 124. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/4 + 20313*s - 650784 = 0. Calculate s.\nAnswer: -27116, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahhhahahaah. Give prob of sequence hah.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156222362 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14*f + 33 = 0. What is the closest to 0.8 in f, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 (base 7) to base 6\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3227 - 2987 - 2920 + 2*b + 8711 in the form y + c*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 11.\nAnswer: 312\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 15, 29, 61, 117, 203, 325?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/220)\/((-22)\/(-220) + (-2)\/(-30)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -15. Suppose 2*m = 47 - g. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-6) - (-1)\/3. Let r(f) = 7*f**2 - 12*f + 3. Let j(d) = 15*d**2 - 25*d + 6. Let g = 422 - 428. Let o(z) = g*j(z) + 13*r(z). Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 5)\/(92\/23)*24437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100 + -11100?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from naannan.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 + 0*r**2)*(-5 - 3 - 11)*(-22*r**3 + r**3 - 2*r**3).\nAnswer: 437*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -131. Sort -2\/13, h, -2\/7, 10\/9.\nAnswer: h, -2\/7, -2\/13, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 4*h**2 + 5*h**2 + (h + 5*h - 5*h)*(2*h + h + 7*h) - 2*h**2 + 95 - 2*h - 95 to the form r*h + g*h**2 + f and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*l + 5, -5*v + 340*l - 337*l = 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99 or 502?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 135 + 65. Let l(h) = -7*h**3 + h**2 - 2*h + 1. Let a be l(1). Let k = a - x. Calculate the smallest common multiple of k and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imm. What is prob of sequence im?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18*l**2 + 23*l - 14*l - 9*l.\nAnswer: -18*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 1491\/(-28))\/((-135)\/864*4).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*p**2 - 36*p**3 + 3*p**2 + 15*p**2 + 2*p**2 wrt p?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536567525.\nAnswer: 5, 13, 37, 44621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j**2 - 214*j - 2019. Calculate the remainder when r(-9) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-12)\/6 - 30). Suppose p = c + 12 - 59, 5*p - 225 = -5*c. Let t = c - h. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93034 - 2822*k + 93034.\nAnswer: -2822*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 3*y - 3*c, 5*y - 43 = c + 111 + 19 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhiiaiiz. What is prob of picking 1 i, 1 w, and 2 h?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**3*y**3 + 2*o**3*y**2 - 2*o**2*y**3 + 161*o*y**3 + 3*o*y**2 - 962*y**2 wrt y.\nAnswer: -18*o**3 - 12*o**2 + 966*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 2\/7 (c) 7\/3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4933 is divided by 158.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 233 - 118 - 115 - 2*c**2 + 0*c**2. Let a(g) = 315*g**2. What is a(w(k))?\nAnswer: 1260*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.3 (c) -3\/2 (d) 91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 21. Let x = -1157 - -631. Let p = -533 - x. What is o(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196288 is divided by 49054.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 8*s + 9. Let q be d(-7). Let u(c) = -c + c**2 + 0*c**q + 0*c**2 + 2. Is 4 a factor of u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -4)*0\/(-2). Suppose -2*x - 5*d - 1 = 0, -3*x + i*x - 2*d + 4 = 0. Let f(l) = 6*l**3 - 4*l**2 + 2*l + 1. Is f(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(-2*l - 4*l + 4*l) - 5*l + 3 - 3.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*t - 4*i, 0 = 2*t + 2*i - 12 + 10. Sort -5, 9, -3, t in decreasing order.\nAnswer: 9, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7157 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -903.\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -116\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2 + 54*f = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000043099 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. What are the prime factors of (g\/2)\/((-18)\/(-240))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (14 - (6 + 12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1372 and 7?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, -2 = -p + 2*x + 3. Let f(s) be the first derivative of p + 4*s + 3\/2*s**2. Find the first derivative of f(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-4305)\/(-2555))*3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 + 3. Let k be v(-5). Let i(f) = 4*f**3 + 5*f**2 - 3*f - 4. Let l be i(k). Let w = l + 2439. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**10)\/n**(2\/21))**(-34)\/((n\/((n*n*n\/(n\/(n\/(n**2\/n)))*n)\/n)*n)\/n*n**3*n*n**(-1)*n**(2\/15)) assuming n is positive.\nAnswer: n**(32246\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1722381892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + ((2 + sqrt(475) + -2)*4)**2).\nAnswer: 45570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206914 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*d + 14 = 0, -2*c + 5*d + 37 = c. Let o be (-32)\/(-8)*2\/c. Solve 0*w - 20 = -2*u - o*w, 0 = -5*w + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55615 is divided by 6557?\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p. Let m(v) be the third derivative of 0*v - 1\/30*v**5 + 0 - 3*v**2 + 0*v**4 + 0*v**3. Calculate m(o(d)).\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n\/n**(4\/9)))\/((n\/n**(4\/7)*n)\/(n\/n**0*n*n)) assuming n is positive.\nAnswer: n**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f - f)*(-f**2 + 4*f**4 - 20 + 20) + 16*f**5 + 11*f**5 - 5*f**5 - 2*f**5 + 2 - 2 + (-3*f**5 - f**4 + f**4)*(-4 + 4 - 2).\nAnswer: 30*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 261*q**2 - 115*q + 2058. Calculate s(-131).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 57*j**2 + 10887*j + 93*j**2 - 10887*j.\nAnswer: 3*j**3 + 150*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50404*2\/12*(-3)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 2*x**2 + 4*x - 3. Let u be l(3). Suppose -3*k + k - 12 = u. Let w(p) = p**3 + 9*p**2 + 2*p + 1. Is w(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Let n be (-3)\/1 + 5 + 10. Calculate the greatest common factor of n and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*a**6 + 4*a**4 - 4*a**2 + 3*a?\nAnswer: -5400*a**3 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21250 - 4349. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1 - (-3 + 4)). Let x = 45 + -43. What is the derivative of x*m**2 + 1 + q + m**2 - 9*m**2 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -10210101120012200?\nAnswer: 10210101120012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/815 + 24538\/8965. What is the common denominator of -139\/6 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084057 is divided by 204.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 436156221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/(-35) - (-8)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*j**3 + 2632\/9 + 880\/3*j + 74*j**2.\nAnswer: 2*(j + 2)**2*(j + 329)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*((i\/((i**(-22)\/i)\/i*i))\/i)\/i)\/i*i*i\/i**(2\/11)*i*i*i assuming i is positive.\nAnswer: i**(306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111985 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2258164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqa when three letters picked without replacement from vajavaqa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34131+-2\nAnswer: -34133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*h + 4, -h = -2*o - 2*h + 4. Suppose 0 = -0*a + o*a. Solve a = -2*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**6\/30 - 3*g**5\/10 - 13*g**4\/12 - 2*g**3 - 2*g**2 + 16*g. Factor n(f).\nAnswer: -(f + 1)**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4861 - -4180.4. Let u = -618 - k. Let z = -62.599727 + u. Round z to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 15) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:39 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 - 3\/2*r**3 - 1\/2*r**2 + 2*r. Let a be g(-1). Calculate the greatest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lolloiolldolld. Give prob of picking 1 l and 2 d.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*1578\/1052\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 - q. Let d be y(-1). Suppose -260*j = -372*j. Suppose j = -2*k + 5*i - 20, -5*k + d*k = -i + 4. Solve k = z + z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 243 + -239. Suppose -2*v = -2*q - 52, -7*v + 2*v = -n*q - 134. Solve v = -14*x + 8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2409254 or 2409255?\nAnswer: 2409254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1236270 and 2755.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10277376 and 5.\nAnswer: -10277371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248836 is divided by 57.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f**2. Let p(i) = 33*i**2. Determine a(p(y)).\nAnswer: -28314*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 at most 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 0*b + 3*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let o be q(-1). Let j be o*(4 + -3)*-1. Suppose -5*b + b + 220 = j. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 3*j - 4*x, -327*j + 56 = -326*j + 2*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 687414 and 546.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -3.08, -2\/3, -34\/31, 3, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1355 - 1355 + k**2. Let y(p) = -p. Let w(f) = f - 4. Let i(h) = 2*h - 7. Let r(c) = -4*i(c) + 7*w(c). Let l(b) = -6*r(b) + 3*y(b). What is z(l(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 5:05 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 212 = -148. Suppose -13*y - g = -19*y. Solve 6*r = y*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**2 - 12. Let k(p) = 16*p. Let q(f) = 513*f. Let v(m) = -95*k(m) + 3*q(m). Give j(v(c)).\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702391 to the power of 1\/2, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (121 + -120)\/((-5)\/(0 - -2 - -1)). What is the nearest to -2.3 in 1\/4, k, 0.2, 1\/24?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.05071 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*u = -146*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877915120 a multiple of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -0.2, 2.8, -84\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-130)\/156 - (-74)\/(-12). Which is the second smallest value? (a) 2\/3 (b) r (c) 0.577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.03761 from -0.04.\nAnswer: 7.99761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = -6*s + 10*s, s = -4*x - 1. Let y be (s\/(-3))\/(2 + (-17)\/9). Let r(m) = 3*m - 7*m + 5 - 3. What is r(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/156 and 7\/147732?\nAnswer: 147732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0596087 to three decimal places.\nAnswer: 5.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4040.333kg to tonnes.\nAnswer: 4.040333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + -5 + -4) - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -9 + 12. Suppose 4*b - 31 = h - 117, -k*h - 3*b = -318. Suppose -d + h = -28. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 321 = 2*p - 1035, -700 = -p + 4*m. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23985 - -999812. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m - 3*m)*(-89 + 4 - 72)*(-1 + 1 + 2 + (1 + 3 - 5)*(2 + 0 - 4) - 4 + 1 + 2 + 4 - 3 + 1 + 1 + 2 - 1).\nAnswer: 1099*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Let m(f) = -9*f**2 - 42*f - 15*f**j + 43*f. Let r(l) = l. What is m(r(v))?\nAnswer: -24*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -347450 rounded to the nearest one thousand?\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 324639335 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + k**2 - 6*k**3 + 4*k**3)*(-31 - 6 + 87 + (-2 + 2 + 1)*(-4 + 5 - 3)).\nAnswer: -48*k**3 + 48*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 19*n**2 - n - 5. Let k = -761 + 742. Let r be s(k). Solve -r*d = -6*d - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -89, -87, -95, -119, -165?\n\"Answer: -x**3 + x**2 + 6*x - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = -3*u + 1080, -398 = -u - 5*i. Calculate the highest common factor of u and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11583, 16373, 21105, 25773, 30371?\nAnswer: 34893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -345600358.6 rounded to the nearest one hundred thousand?\nAnswer: -345600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 12*z**4 + z**2 - z**2 - 1 with respect to z.\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/25706260 and -103\/1562.\nAnswer: 282768860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*u - 26, 3*u - 70 = 4*w + 4*u. Which is the nearest to -1\/2? (a) -2 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 84.2. Let x = l + 7. Suppose 0 = -2*b + 1 - 9. What is the third smallest value in x, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191*b**2*f - 7*f with respect to b.\nAnswer: -382*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/30 + 2)*(-1 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*d = -43 + 39, -4*c + 5*d = 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24803 is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) -2\/21 (c) -1\/7 (d) 1\/4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 274685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 0 - (163 - 147)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2) + -1)*2. Let j(m) = -8*m + 23. Let c be j(3). Let t be ((-13)\/(-39))\/(c*q). Sort -4, t, 5\/4 in descending order.\nAnswer: 5\/4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 63. Which is the second smallest value? (a) 2 (b) -61 (c) m (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((13344\/(-4))\/8)\/((-1)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 14. Let v be w(-6). Let z be 2\/v - (-4)\/16. Suppose -4*d = -2*q + 318, -2*q - 3*q + 4*d + 807 = z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 8:39 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*s - 2*h - 10, -2*s - 4*h + 30 = 0. Let j = 31 - 41. Let m(a) = a + 17. Let d be m(j). Solve p + d = s*c, 7 = -3*c + 5*c + p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049950*y**3 + 3 - 1050137*y**3 - 3 - 3.\nAnswer: -187*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4 + 5*i**3\/3 + 4*i**2 + 6*i - 3. Let a(v) = -v**2 + v + 1. Calculate -10*a(g) + z(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9*1)\/((-3342)\/(-25065)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(-20)\/2. Let w = q + -9. Let r = -1.97 - -2.17. Which is the closest to r? (a) 5 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**4 - 24*f**2 - 4*f + 20*f**2 - 10*f**4 - f**3 + (-2*f**3 + f - f)*(-2*f - 2*f + 5*f) in the form l*f**4 + h*f**2 + j + u*f + g*f**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2312*b**2 + 33196*b - 11592.\nAnswer: -4*(b - 14)*(578*b - 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i = -60*i + 63 + 7. Let p(o) = -o + 21. Calculate p(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 12:56 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/26386 and 19\/211088.\nAnswer: 211088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -612 - -1838\/3. What is the nearest to j in -0.3, -0.46, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 45*l + 64 = -11*p + 16*p, -5*p - 2*l - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25904462 to the power of 1\/2, to the nearest integer?\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1185 - -1214. Solve -n = 7*r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roc when three letters picked without replacement from crkkkos?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7781 + 13523. Suppose -17*o = -14*o - c. Suppose -4*r = -o - 962. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14451, -14440, -14427, -14412, -14395, -14376?\n\"Answer: t**2 + 8*t - 14460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + ((sqrt(572)*-2)\/sqrt(11))**2)*3.\nAnswer: 6*sqrt(13) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-48 - -16) - -32 - (34 + 2)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 1 g when three letters picked without replacement from rrrwlrcplglrg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 24, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 2*n - 10. Suppose 4*d = -3*p - 2*p, 4*p - 36 = 4*d. Let g be r(d). What is the third derivative of 75*h**5 + 5*h**2 - 34*h**g - 33*h**5 wrt h?\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 720 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzo when three letters picked without replacement from zzzzzoozzz?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -5. Find the second derivative of -1 - r*z**4 - 2*z + 3*z + 1 wrt z.\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-26)\/(c*c\/((c**7\/c*c)\/c)))\/(c**8\/c*(c*c**(-24)*c*c)\/c) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 0 - (1 - -2). Suppose v = -6*i + 11*i - 30. Suppose -w = -2*a + 128, 5*a - i*w - 310 = -w. What is the greatest common factor of a and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33404*l**3 + 33425*l**3 + 2*l - 7*l.\nAnswer: 21*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 2*l**3 + 413*l - 411*l + 3 + 12*l**2. Let q be p(-5). Is -19\/3 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148\/(-2) - 2021696\/(-26494)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 23*c**2 - 1126*c - 49. Calculate h(49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, -0.4, -0.3, -2, 0, -153\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3790, -7582, -11374, -15166?\n\"Answer: -3792*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 54*q**2 - 2*q + 4. Suppose -44*c - 1 = -45*c. Let s be r(c). Calculate the greatest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1062 (base 9) to base 13\nAnswer: -485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -10. Suppose -5*z - p - 25 = 0, 5*z + 6*p + 25 = 3*p. Let f be 0\/(2 + 2 + z). Sort u, f, 4 in decreasing order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*c - 2*r, -8*r + 43 = -5*c - 29 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216*u**4 - 7.\nAnswer: 864*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 12 = 8*l. Suppose 0 = -5*z + z. Suppose z*x + x - l = 0. Which is bigger: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342995935, -685991870, -1028987805?\nAnswer: -1371983740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6734 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20394, -40789, -61184, -81579, -101974?\n\"Answer: -20395*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from yxyxxxxxx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbbz when four letters picked without replacement from {z: 3, r: 2, j: 2, p: 1, b: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2592 and 7695.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20355861*1.1.\nAnswer: -22391447.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 10c3671?\nAnswer: -10c3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 4) to base 3.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 140 = 136 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124268 or 124271?\nAnswer: 124271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.2812 and -62841.\nAnswer: -62838.7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3744*z**2 + 794*z - 2370. Is c(3) a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 37. Let j = 42 + -69. Let g be m(j). Which is the nearest to 0? (a) g (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3609114 divided by -2.\nAnswer: 1804557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-17 - (11 - 6))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + (-3 - -14) + (-59 - -42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -647*y - y**3 + 6*y**3 + 642*y + y**2 as g + j*y + z*y**3 + l*y**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 n when three letters picked without replacement from {n: 2, c: 1, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2769452 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (822 - 753) + -1 + -39?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, 125.\nAnswer: -4, -2, 2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319480 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 14*i - 39*i)*(-3 + 16*i - 13*i - i).\nAnswer: -72*i**2 + 108*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y - 6)*(0*y + 7*y - 4*y).\nAnswer: -6*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 + 675. Suppose -14*g = -9*g. Let a be o(g). Let l = a + -3312\/5. What is the common denominator of 19\/6 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l. Let q(z) = 2707*z**2. Calculate q(p(d)).\nAnswer: 132643*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -481.4\nAnswer: 4332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/110 and -137\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-14) - 63\/6. Is -6 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2. Let p(o) be the second derivative of -o**4\/12 - 11*o. Give p(w(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -30. Let y = 5.525343 - -7.474712. Let p = y + c. What is p rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23655 + -10385. Does 59 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 - f. Let u(b) = 6*b**3 + 3*b**2 + 4*b + 8. Give -u(t) - 4*v(t).\nAnswer: -2*t**3 + t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 + 0*s**2 + s + 2 + 3*s**2 + 5*s**3 - 5*s**3 + s**4 in the form d*s + j*s**3 + w*s**4 + v + o*s**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087378769 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 2, -5 in decreasing order.\nAnswer: 2, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 32, -1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:14 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 4, y: 1, z: 2, x: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 4)*(75 + -74)*3\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673795 is divided by 534756?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51651*g - 4*x - 12 = -51645*g, -3*x = 3*g + 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/120 + q**5\/30 - q**4\/8 - 2*q**2. Let a be t(-3). Calculate the least common multiple of 18 and -2 - ((-22 - 0) + a).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.492998g in nanograms?\nAnswer: 7492998000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 106 = 8*y. Suppose 0*a + 3*a + 276 = 0. Let s = y - a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13259431 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -50. Put p, -1\/2, -0.1 in ascending order.\nAnswer: -1\/2, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 152\/28 - (-8)\/14. Suppose -3*p + 3 = -h. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 66015\/12136 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 10*s**2 - 4*s - 13. Let y be l(-10). Suppose 0 = -4*u + y + 29. Suppose -3*a + u = b, -3*a + 24 = b + 2*b. Solve n = b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104, 140, 164, 170, 152, 104, 20?\n\"Answer: -t**3 + 43*t + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.7 - -414.7. Let f = -336770.202 - -337116. Let s = m - f. What is s rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/19344 and 75\/6448.\nAnswer: 19344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-48))\/(154\/132*2)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 37378\nAnswer: -37382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-8))\/((-24)\/(-864)*9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 1579. Let w(f) = -2*f. Calculate w(r(t)).\nAnswer: 4*t + 3158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 47. Let q(p) = -1425*p + 1175. What is -q(f) + 25*x(f)?\nAnswer: 1425*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -27*o + 398. Let y(g) = 53*g - 696. Let c(u) = 7*i(u) + 4*y(u). Determine c(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 47 + 51 = -3*f, 3*g - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 5*b**2 + 3*b - 4. Let m be o(-4). What is the nearest to m in -3, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Let m(u) = -u**2 - 8*u + 10. Calculate the remainder when m(-8) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 3. Let u be j(-4). Let n(g) = -1. Let k(d) be the second derivative of -d**3\/3 + d**2 + 2*d. Let x(i) = -k(i) - 4*n(i). Calculate x(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((39\/(-14))\/(-13))\/((-6)\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(209) - sqrt(209))\/sqrt(11).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1003*0.2\nAnswer: -200.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 89 = -24*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 - g**4\/2 - g**3\/6 + 3*g**2 - 8*g. Let s be j(-6). What is the greatest common divisor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 10610 + 23418 = 834*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 27268 - 27030 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 5.\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15656*q**3 + 5142*q - 1 wrt q.\nAnswer: 93936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:32 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17\/3 (b) -2\/5 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 h, and 1 t when four letters picked without replacement from hppygycgcttpttygp.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, 0.5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106455228, 212910459, 319365692, 425820927, 532276164, 638731403?\nAnswer: 745186644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 22. Let p = 36 - t. What is the remainder when 58 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2711, 11044, 24977, 44510, 69643, 100376, 136709?\n\"Answer: 2800*g**2 - 67*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -181173 divided by 393\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39893\/6 - 6664. Let z be (-3)\/(-2) - (-14)\/(-4). Calculate the common denominator of c and -1 - 388\/(-40) - z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*o - 16 - 102, -2*y + 112 = 4*o. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324576 = -4*s - 2*s. Let b be s\/17 - (-46)\/(-391). Suppose -b = -13*o - 205. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -5)*(0 - -4). Let k = 12 + g. Let s be (1\/1)\/(-3 + k). Round s to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 32*j + 114 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -239, -808, -1917, -3746, -6475, -10284?\nAnswer: -15353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (7 - 13 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 58.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32957207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 8*o - 11*o - 172, 4*o = 4*y - 664. Suppose -y + 175 = 6*z. Solve 0 = x + 3*g, 0 = 5*x + 5*g + z + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7217, 14375, 21535, 28697, 35861, 43027?\nAnswer: 50195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3963, 7912, 11861?\nAnswer: 15810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -490*p**3*v**2 - 2460*p**3 - 3*v**3 with respect to v.\nAnswer: -980*p**3*v - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 182 + -164?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 15. Let j be -3*z*2\/2. What are the prime factors of 1\/((-2 + 5)\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j + 29*j - 2*j**3)*(1 + 4 - 3) + (-j**2 + 0*j**2 + 3*j**2)*(3*j - 5*j + 3*j) + 6*j**3 - j**3 - j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6*b**(-18)*b*b*(b\/b**(-3))**(-2) assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-245)\/56)\/(-5)*(-48)\/168?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636 > 3121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 37, -31, -125, -245, -391?\n\"Answer: -13*s**2 - 3*s + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24680\/(-60))\/((-10)\/75).\nAnswer: 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 55*y**7\/42 + 13*y**4\/6 - 95*y. Find the third derivative of n(h) wrt h.\nAnswer: 3300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32087790 - -1.3?\nAnswer: -32087788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*k = 7, 0 = 4*v + 3*k - 2 - 30. Let b(y) be the second derivative of 0*y**3 - 3*y + 2\/25*y**v + 0*y**2 - 1\/75*y**6 + 0 - 2\/15*y**4. Factor b(c).\nAnswer: -2*c**2*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313055759364*z - 2313055759364*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 54*k + 36*k - 13*k - k**3 - 13*k.\nAnswer: -4*k**3 + 64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.293 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/3)\/r*r)\/r*r)**(-9)*r**(-1\/4)\/(r*r**(-1\/3)))**6 assuming r is positive.\nAnswer: r**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/(l*l*l*l\/(l\/(l\/(l\/l**(-5\/2))))))\/l*l**(-1\/8))\/((l\/l**(-2\/9))\/(l**(-7\/3)*l))*(l**(-1))**20*(l**(-2\/7)\/l)\/l**(-1\/5) assuming l is positive.\nAnswer: l**(-56111\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k - 49. What is f(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 1168 - 1168 + 5*a - 5*a**2. Let r be (-32)\/28 - 10\/(-70). Let j(z) = -z**3 - z**2 + z. What is r*m(b) + 5*j(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0102 + -24.0102. Does -1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 68*n + 19. Let w(k) = 4*k - 5. Let j be w(2). Suppose 2*u + 3*x = 21, j*u + 3*x + 2*x - 34 = 0. Is a(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160906, 160929, 160962, 161005, 161058?\nAnswer: 161121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 22*p**2 + 16*p + 5. Let v(l) = 4*l**3 + 41*l**2 - 33*l - 9. Determine 9*m(o) + 5*v(o).\nAnswer: 2*o**3 + 7*o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = -0*t + 5*s, -4*s = t - 14. Let w be 8 + (2 - (t - 1)). Suppose 4*y - 61 = -w. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 363 = 7*j. Let z be j\/((-24)\/(-32) - (-9)\/(-15)). Round z to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 1, -5, -983\/3, -55 in increasing order.\nAnswer: -983\/3, -89, -55, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106 in -47\/4, 1, 145?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:59 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77)*-4 - sqrt(77))\/((sqrt(77)*2)\/sqrt(11)))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in 3, -5, 1, 20, -0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 - 101044*w - 101048 = 0?\nAnswer: -1, 25262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/2 or -299443.24?\nAnswer: -299443.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -11*f**4\/6 - 5*f**3\/6 - 15*f**2\/2 + 19*f. What is the second derivative of k(t) wrt t?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**26\/p**39*(((p**(-24)\/p)\/p)\/p)\/(p\/(((p**(-40)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 4 (c) -1 (d) -24.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) 2\/25 (c) -10127 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26880 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*f**2 - 62*f**2 - 83*f**2 + 230*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.11 less than -0.5?\nAnswer: 13.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, s: 1, z: 4, f: 2}. Give prob of sequence dff.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 431 + 307752?\nAnswer: 310403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 163 - 101 + 0*h**3 + 264.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759433 is divided by 634.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*c)*(8*c - 6*c**2 + 4*c - 14*c).\nAnswer: -18*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70958, -141099, -211240, -281381, -351522?\n\"Answer: -70141*l - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/720 and 50\/477.\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(-2 + -4 + sqrt(80) + -3*(sqrt(80) + 3)))**2.\nAnswer: 8640*sqrt(5) + 19620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from dkdddkdd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.039, 2\/5, -3, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6764 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 - 3.45. Let s = -13 - -12.56. Let l = -0.04 - s. Sort c, l, 5 in decreasing order.\nAnswer: 5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6807 divide 554065849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15520, -30975, -46440, -61921, -77424, -92955?\n\"Answer: -h**3 + h**2 - 15451*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z = 70*z - 702 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.328 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 5*s = -5256. Let o = s + -610. Is o > -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 + 3*v - 7. Let y = -16 + 11. Let a be o(y). Suppose 3*p = -a*x + 12, 0*p - 25 = -4*p - x. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*k - 134*k = 817. What is the remainder when 639 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.51 to 0 dps.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 14*a**2 + 12*a + 1. Let u be t(13). Let d be 4\/6*(-18)\/u. Let r(q) = -2*q**3 + 2*q - 1. What is r(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.062868 * 0.02\nAnswer: 0.00125736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b + 407. What is the tens digit of s(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -984?\nAnswer: -97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 = 10. Let k(l) = -1 + l - 2*l + 1. What is the units digit of k(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 2.68, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11373*a + 20376*a + 21078*a - 90*a - 2.\nAnswer: 29991*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -19 - (37\/9)\/((-2)\/((-540)\/10))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122111 - 110?\nAnswer: -12122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -32*k**2 - 153*k + 307. Give c(2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108, 408, 902, 1590?\n\"Answer: 97*h**2 + 9*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 240*w. Let p be y(2). Let j = p + -263. Suppose -12 = d - 5*d, 0 = 4*s - d - j. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -23 (c) -6112 (d) -4 (e) -0.4 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - 10.97. Let t = i - -8. Suppose -2*h = -h - 4. Which is the second biggest value? (a) h (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 11069 = 63. List the prime factors of d.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from tttgtttgttg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*l + 5*t + 7, -3 = l + 3*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/c**(-1\/3))\/c)\/c)**(-3\/16))**(-7) assuming c is positive.\nAnswer: c**(7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2219 + 6.30981834\nAnswer: 6.53171834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 - 0?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-4\/5)*s)\/((s\/(s*s\/(s\/s**7)*s*s)*s)\/s))**(40\/3))**44)**(-35) assuming s is positive.\nAnswer: s**(-566720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 293573 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 + 2*l**4 - 3*l**4 + (l**3 - 3*l**3 + 0*l**3)*(0 + 3*l + 0).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -13, 9, 1, 160\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1248433, 1248225, 1248017, 1247809?\n\"Answer: -208*w + 1248641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -753 - -753. Which is the biggest value? (a) -5 (b) -0.3 (c) p (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 188.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 307833983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610404 is divided by 7825?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 462904989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22852 divided by 35\nAnswer: -22852\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-15)*c)\/((c\/(c*c\/c**(-6)))\/c))**(23\/4))**(1\/11) assuming c is positive.\nAnswer: c**(575\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 5*m + 3. Let f(p) = -p**2 + 4*p + 3. Let g(a) = a**2 + 7*a + 2. Let u be g(-6). Let w be (u\/10 - -2)\/((-12)\/30). Calculate w*x(s) + 5*f(s).\nAnswer: -s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -5. Let p(i) = -i**2 - 12*i + 19. Let x be p(-14). Let r = x + 11. Sort w, r, 1 in descending order.\nAnswer: r, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*d + 10 = 407*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g**(-1\/30)\/g))\/g)**(13\/4) assuming g is positive.\nAnswer: g**(793\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60*(97\/2 - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugglqglgglugggl. Give prob of sequence gl.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.69 + 0.785. Let t = -0.08 + -0.01. Let y = c + t. Round y to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/13)\/(l**4*l)*l\/(l**(-7)\/l)*l\/(l*(l\/(l\/(l*l\/l**(-5))))\/l) assuming l is positive.\nAnswer: l**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 731810704*o**2 - 108208*o + 4 = 0.\nAnswer: 1\/13526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 4*r**2 + 3*r - 1. Let g be d(-3). Let h(a) = 48*a - 3. Let x(u) = -24*u + 1. Let z(v) = 2*h(v) + 5*x(v). Is z(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - 21714\/846. Let s(v) = 2*v**3 + 49*v**2 - 26*v - 1. Determine s(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*s - 476*s + 54*s + 15*s + 81*s + 78*s + 84*s + 83*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364565606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1\/(-6) + 41\/6. Solve -n - 2 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 203, -0.4, -56, -0.05.\nAnswer: -56, -0.4, -0.05, 0.2, 4, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*f + 10 + 11, -2*b + f = 3. Is (862\/(-4)*b)\/((-29)\/(-58)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2)*(-6 + 0 + 4) + (4 - 1 - 5)*(-15 - 6*g + 15).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 329721 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 s when four letters picked without replacement from {x: 1, s: 8, m: 3, p: 1, c: 1, u: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-6 + 8 - 15) + (-71 - (-38 - -27))).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -4\/3*l**3 + 1\/4*l**4 + 7*l - 5*l**2 + 95. Determine k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*1*(-1)\/(-3). Suppose 4*t - 52 = -x*b, -18 = -3*t - 2*b + 21. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1162 by -2.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -290. Are t and 26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:46 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 208 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/(76\/(-13300)*-105)*70\/(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bkbqkkkkbknbbuauq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 485.\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**8\/8 - 31*o**7\/21 - 439*o**4\/4 + 47*o + 5. Find the third derivative of g(v) wrt v.\nAnswer: 840*v**3 - 3720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -3.9 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 5*d**2 + 31*d + 45. Let t be p(9). Solve t = -5*u - 189 + 164 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17629.962 - 17597. Let a = -31.88 - 1.12. Let x = m + a. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 7. Suppose 4*x + a - 112 = -28, a = 0. Let h = -14 + x. Let q be 2\/h + 528\/(-84). What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -224336, -448680, -673044, -897434, -1121856, -1346316, -1570820?\n\"Answer: -f**3 - 4*f**2 - 224325*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**3*n**3 + 3*a**2*b*n**2 + 2*a*n**3 + 6*a*n + 4*b*n wrt a?\nAnswer: 84*a*n**3 + 6*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6 - 9\/((-135)\/(-10)). Let p be 0\/(-3 + 5)*1. Let n(t) = t + p*t + 3*t - 2. Give n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83819 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 28243*v - 197652.\nAnswer: -(v - 28236)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*v + 1\/2*v**3 + 0 + 27\/2*v**2.\nAnswer: v*(v + 10)*(v + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 1 - v**2 + 3*v**2 - 5 to the form h*v**2 + k + y*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 - 6*o**2 - 6*o**2 + (-o + 3*o - 6*o)*(-2 + 0 + 1)*(-3 - o + 3).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x**5 - 2*x + 21 - 21 + (-2*x**5 + 2*x**5 + x**5)*(-1 - 1 + 4).\nAnswer: -8*x**5 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 + 4*q + 17. Let r(n) = -28 - 11*n - 2*n**2 + 24 + 10*n. Determine -2*p(s) - 9*r(s).\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 4*m - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 11, 26, 43, 62?\n\"Answer: o**2 + 10*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68513 - 57*d**2 - 32915 - 35*d**2.\nAnswer: -92*d**2 - 101428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-4) + 1\/4. Let n be (-4)\/k - 0\/1. Let c be (-5)\/((-50)\/36) + 3\/(-5). What is the closest to -2\/7 in 0.5, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 - 3*g. Let i be y(3). Suppose -4*s + 71 = s + x, 2*s + 4*x - 14 = i. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91061 from 3.4645.\nAnswer: 91064.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 0, 4*p + a = p - 14. Let n = p - -14. What is the derivative of -4 + n - 4*v**3 + 3 wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:00 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/245154 and -23\/24.\nAnswer: 980616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1713879*q + 6855493. What is y(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/8, 2\/11, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735*m + 870*m = -894*m + 116 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5830 and 406779240?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040271.\nAnswer: 3, 131, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 9. Let t be d(5). Let i = 23 - t. Suppose q = -2 + i. Solve -q*c - r + 4*r - 3 = 0, -5*c + r = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 81*r**3\/4 - 3*r**2\/4 + 241*r\/4 + 81\/2.\nAnswer: (r - 81)*(r - 2)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(h - 11 + 0*h + 10 + (-2 + 1 + 3)*(-1 + 1 - 3*h) - 5*h + 5*h + h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:44 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -902899798801 - 3\nAnswer: -902899798804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -35102906 equal to -35102907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -392566*19.6\nAnswer: -7694293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l + 10, 0 = -4*q - 3*l + 102. Let t be 3 + q + 6 + -9. Suppose -t*r + 4450000 = -19*r. What is r rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -923*o + 24926. Let p be n(27). Let g be ((-1)\/(-2))\/(1\/2). Suppose 0*x + 8 = 2*x. Solve p*i = -g - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2\/105 (c) 0.3 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 19*r - 27. Let k(g) = g - 1. Let a(v) = 5*k(v) - x(v). Is a(5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188759465.\nAnswer: 5, 31, 43, 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3*342\/(-399))\/(2\/(-7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmggggn. What is prob of sequence ggn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 27 - f**2 - 4 - 12 - 10. Suppose 0 = -5*m + 4*g + 15, -3*g + 6 = 2*m + g. Determine v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 5:41 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) - (-4*sqrt(175) + -3).\nAnswer: 3 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - y + 6 = 7*t, -t + 2*y = -10. Suppose -9*s + 95 = -4*s - t*w, 3*s = 5*w + 76. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 = -2*d. Let r(i) = i + 1. Let z be r(d). Suppose z*j = 12 - 0. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 0 + j + 3*j - 8. Suppose h - 5*h - 5*u - 39 = 0, -4*u - 18 = h. Let x be p(h). Calculate the greatest common factor of x and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 700 = -i, 4*i - 8*i - 3*x = -2749. Let m = 687 - i. Solve 2*b = -4*q, 4*b + 16 = m*b + 4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 116, 142, 192, 266, 364, 486?\n\"Answer: 12*b**2 - 10*b + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5180*a = -549406 + 5506 for a.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8. Let s be (-6)\/(-28) + (-6)\/(-21). Sort -2\/15, n, s in descending order.\nAnswer: n, s, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/66 + -3\/22. Let f be ((-2)\/76)\/((-9)\/724). Let o = 36\/19 - f. Put o, 5, x in decreasing order.\nAnswer: 5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 71\/2286277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 + 51?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*l - 5*n + 3*n, -l - 16 = 5*n. Suppose l*c + 6072 = 6*c + 2*o, 0 = -4*c + 3*o - 8096. Round c to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 640509 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8400 divided by -1190\nAnswer: -120\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 - 60 = 5*k. Suppose 3*n - 2*n - 13 = 0. What is the greatest common factor of n and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3807865 is divided by 543965.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 127*s - 28094. Give o(91).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*b + 264 = 0, 2*b = 4*b + 4. Let p = 227 - w. Let l = p - 113. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 6*z + 24. Let d be y(-4). Solve -f = -2*a + 3*a + 2, 3*a - 2*f + 11 = d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 67, 100, 151, 226?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406 divided by 2?\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 13. Let j be 75\/(-10)*y\/(-6). Find the common denominator of 1\/22 and (-106)\/(-8)*2\/j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40941, 163797, 368549, 655191, 1023717, 1474121?\n\"Answer: -y**3 + 40954*y**2 + y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-32))\/(216\/(-90))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + (3 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**6\/30 - j**5\/10 + j**4\/4 + 2*j**3\/3 - 2*j**2 + 13*j - 12. Let c(f) be the first derivative of o(f). Factor c(q).\nAnswer: -(q - 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by (-444)\/(-17) - 44\/(-12)*66\/(-2057).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1476362\/239?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127.9 + -7.1. Let v = 1544339.9842 - 1544475. Let u = v - c. Round u to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10090657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 685645 and 429703.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f + 6 = 0, -4*q + 2*f + 2590 = 0. Let s = 2166 - q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35303, 35330, 35377, 35444?\n\"Answer: 10*p**2 - 3*p + 35296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -5, 0.7, 550, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 8\/3, 1\/11, 5, -4.7, -1\/6 in decreasing order.\nAnswer: 5, 8\/3, 1\/11, -1\/6, -4.7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 12 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 25*d**2 - 38*d - 336. Let y be j(-24). Which is smaller: y or 3\/85?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 9*i**2 + 9*i + 9. Let j be o(-8). Let q(b) = 10*b. Let p be q(j). Suppose 4*r = 4*v - 80, p = 2*r - 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39425 by -389.\nAnswer: -39425\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 13*o - 42*z + 38*z + 88, o - 2*z - 2*z + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(405) - (-2 + sqrt(405) + 1 + sqrt(405))) - 2*(sqrt(405)*-2 + -3))**2.\nAnswer: 270*sqrt(5) + 3670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 546, 1053, 1560, 2067, 2574?\n\"Answer: 507*w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56118033601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3468 + -3466. Let d = -3.5 + -0.5. Sort y, d, 0.03.\nAnswer: d, 0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*i = 35, -p + 3 + 27 = 3*i. What is the remainder when 86 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4 - 7697*u**3\/6 - 33641*u**2 + 154839*u\/2 - 127484\/3 = 0?\nAnswer: -1256, -29, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.81 - -31.61. Put -1\/3, g, -3\/16 in descending order.\nAnswer: -3\/16, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0, 2, -1.5226, 0.07, -3 in ascending order.\nAnswer: -3, -1.5226, -2\/7, 0, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300756.5600023 + -300760.56. Let z = 4 + y. What is z rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:57 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -27\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4 - 207432*a**3 - 5614239*a.\nAnswer: -60*a**2 - 1244592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1509928 rounded to three decimal places?\nAnswer: 1.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 8*k**2 - 4*k + 7. Let s be m(-7). Let r(u) = -4591 - u + 2289 + 2302. What is r(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 42 = 9*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*q + 106*q + 219*q + 756*q - 179*q.\nAnswer: 1138*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*y - 119*y + 229*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b86a38 (base 15) to base 13\nAnswer: 1a8588a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4444136 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 94 = 1046. Let p be 1570\/((-4)\/(-3) - 10\/30). Suppose p = 13*n - b. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-13)\/((-65)\/(-15)) + -2 + -1. Let h(g) be the third derivative of 2\/75*g**5 - 1\/20*g**4 + 5*g**2 + 0 + a*g**3 - 1\/300*g**6 + 0*g. Factor h(i).\nAnswer: -2*i*(i - 3)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 10 = -3938*u + 3940*u, -4*u + 7 = -5*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30858613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25385 - 12693 - 19*i**2 + 180*i**2 + 35*i**2 - 12692.\nAnswer: 196*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-441*(-298)\/43806)\/(3*(-2)\/92)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.6. Let f = 0.006 + -0.034. Let c = f + 0.028. What is the nearest to c in -2, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369, -457, -543, -627, -709?\n\"Answer: j**2 - 91*j - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2)*(-a - 5*a + 4*a + (-2 + 4 - 5)*(3*a + 0*a - a)).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 90, 6 in ascending order.\nAnswer: -3, 4, 6, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 15330722.61?\nAnswer: -15330722.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxxbbbbbxbbbbbbbb. What is prob of sequence xb?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*z = 3*z - 3, -5*z = -4*p + 2. Suppose p*a = -a - 4. Is -2\/73 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71 - 73) + (1 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (135\/9)\/1*(-6)\/(-15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/15 + 243210\/5025.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 785301.8 kilometers?\nAnswer: 785301800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 37309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 4a936?\nAnswer: 4a932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 767.\nAnswer: -6\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34240 = 7*x + x. Suppose x = 3*o - 3031. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (5 - (5 + (0 - (0 - 3))))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 5*g = -2, -2*g - 24 = -5*i. Suppose 3*k + 13 = i*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, 5*w + k - 15825 = 2*k. List the prime factors of w.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 64.0000196. Round g to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1568*h + 83413. Give l(-53).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2577, -5176, -7819, -10506?\n\"Answer: -22*p**2 - 2533*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 26\/(-10) - -1. What is the closest to m in -4, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15681 times -0.5\nAnswer: 7840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 6. Let b be k(-4). Let w(h) = -3*h - 3. Let n be w(-3). What is the third derivative of i**b + 0*i**6 + 0*i**2 - 6*i**n + 2*i**6 wrt i?\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -27\/5141, 291 in decreasing order.\nAnswer: 291, 0, -27\/5141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19\/29, 0.2, -2\/9, -0.5, 2\/3501?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -74298.658134.\nAnswer: -74298.558134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*y - 67*y - 12. Suppose -8\/5*z**3 - 6\/5*z**y - 2\/5*z**4 + 0 + 0*z = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25519.2 take away -2?\nAnswer: 25521.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200221011002 + 12?\nAnswer: -2200221010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 5*d + 2*d + 0*d**2 - 2 + 2*d**4 as k*d**4 + g + h*d + a*d**3 + s*d**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/9 - (-2)\/6. Let d(r) be the first derivative of 1\/5*r**5 - r**y + 0*r**4 - 2 + 0*r**3 + 0*r. What is the second derivative of d(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2791*t**2 + 2789*t**2 + 3065 + 0*t + 2*t**3 + 0*t.\nAnswer: 2*t**3 - 2*t**2 + 3065","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200) + 1)*3 + sqrt(200))**2 + 3 + (1*3*(sqrt(200) + -1))**2.\nAnswer: 240*sqrt(2) + 11621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13771 + -13716. Solve 5*i - 2*h - 36 = -v, -8 = -4*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(165) + sqrt(165) + sqrt(165)*1 + sqrt(165))*2)\/(sqrt(75)*-2))\/((sqrt(45)\/(sqrt(3)*2))\/sqrt(3)*-5).\nAnswer: -8*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8076 = -3*w + 2*z, -z + 3065 = -2*w + 8449. Calculate the common denominator of (-2)\/(-9) - w\/288 and ((-125)\/2500)\/(6\/(-430)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.56 + -1.16. Let z = -11 + h. Put 2, -5, z in ascending order.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58750 is divided by 29352.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.098, 0.3, -8, -0.6 in decreasing order.\nAnswer: 0.3, -0.098, -0.6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8988.2, 1208, 3?\nAnswer: 1208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 3*l + 4*o, -387*o + 761*o = -4*l + 378*o - 92 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*f - 18 - 22, -2*f - 30 = -3*b. Solve -14*w + b = -3*t - 19*w, 0 = -5*t - 3*w + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -2, 3.\nAnswer: -8, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 813*u**2\/5 - 18249*u\/5 + 20207.\nAnswer: (u - 11)**2*(u + 835)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 6*sqrt(119)*1) + (sqrt(119) - (sqrt(119) + 1*sqrt(119)))*5 + sqrt(119))\/(4*sqrt(448)*-5)*5.\nAnswer: 9*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000839 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3 + 266*c**2 + 8700*c = 0.\nAnswer: -75, -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**3 + 6*b**2 - 5*b + 23. Let f(g) = 5*g**3 + 5*g**2 - 5*g + 23. Let n(l) = -3*f(l) + 4*t(l). Let k be n(-10). Is (18\/k)\/((-2)\/4869) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 = -126. Calculate the smallest common multiple of 12\/(-16) - (-114)\/24 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6251, -24291, -54367, -96479?\n\"Answer: -6018*b**2 + 14*b - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-10))\/(2\/(-4)). Suppose 3*t - 4*t = -o. Suppose 8*a - 3*a - 2*w = 56000010, t*a - 3*w = 33600015. What is a rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 8*z**2 + 9*z + 1. Let s be q(9). Let a = -3 + 2. Let h be a*s\/2*-2. What is the greatest common divisor of 4 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2 + 1. Calculate the lowest common multiple of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1152?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*s**2 - 184\/5*s + 4\/5*s**3 + 192\/5.\nAnswer: 4*(s - 8)*(s - 1)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -36*d + 62. What is p(17)?\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 2 = -4*q + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g + 3*s - 108, 225 = 5*g - 4*s. Let l be (36\/(-42) - 0)*7. Let d = l + g. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 78. Suppose h + 0*r - 398 = 3*r, -s*r = 3*h - 1227. Suppose -h = -8*u + 377. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*b + b + 3*b)*(-95*b + 104*b + 47*b + (3 - 2 - 3)*(-2*b + 4 - 4)) to j + h*b**2 + p*b and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from odeepdzdeowoepwpewdo?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 343, 382, 475, 640, 895, 1258?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/375 - -359\/1500. Let v = -0.4 + 0.3. Let b be 1 + -1 + (-6)\/(-7). What is the closest to v in -2, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3942 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:55 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -213 - -212. Let w be (-12)\/(4\/((-40)\/15)) - c. Solve -w = -5*p - 5*i + 11, p = -4*i + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 2*n + 17. Let p(g) = -20*g**2 - 6*g - 49. Let b(v) = -6*p(v) - 17*s(v). Let r be b(3). What is the highest common factor of r and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 28*n**2 + 8*n - 8. Let r = 85 + -60. Suppose -3*y = -4*p - r, p + 10 = -6*y + 8*y. Let d(s) = -9*s**2 - 3*s + 3. What is y*u(c) + 8*d(c)?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j + 43*j - 113*j to x + q*j and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1452, 1385, 1282, 1149, 992, 817, 630, 437?\n\"Answer: u**3 - 24*u**2 - 2*u + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -124.9 in 2, -1\/26, -0.1, -0.3, 3, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15 + (-2360)\/(-88) - 12 - 197672\/(-11).\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11899 - 7119. List the prime factors of i.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 205*b**3 - 775390*b**2 + 2625505*b + 3401100 = 0.\nAnswer: -1, 180\/41, 3779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 16232*c - 32463.\nAnswer: -(c - 64926)*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/15 + 19 + 104909\/105. Is 1018 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 27*x**7\/70 - 39*x**6\/50 + 2*x**5\/5 - x**4\/15 + 19*x + 16. Let n(b) be the first derivative of t(b). Solve n(p) = 0 for p.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -232675 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 302*0.3\nAnswer: 90.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0 + 68. Let m be ((-2)\/1 - -4)*-1. Let w = m + j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*q + 21. Let i be -2 - ((-1 - -1) + -5). Calculate the remainder when 1 - -9 - i\/3 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*d - 1495 + 811 + 684.\nAnswer: -189*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 20837.17t?\nAnswer: 20837170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b (base 13) in base 14?\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from ccgcccgccccccccccc?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Let g(k) = 224*k**2 - 246*k - 6. Let z(n) = -69215*n**2 + 75973*n + 1853. Let r(t) = -1853*g(t) - 6*z(t). Give q(r(y)).\nAnswer: 218*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 85\/20 - ((-2)\/(-1) + 2). What is the closest to 0 in d, -2\/7, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40545, -80954, -121237, -161394?\nAnswer: -201425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(4 + 83\/(-20)). Suppose 2*y = 6*y + n. Let h be 50*((-5)\/(-2))\/y*-1. What is the greatest common factor of 225 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/24 and -85\/428?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164 + -167. Sort v, -2, -4, 5 in increasing order.\nAnswer: -4, v, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 4. Let a be f(5). Suppose 4 = 2*l + 2*b + 2, -5*l = -3*b - 29. Suppose -h**l - 3*h**2 + 2*h**2 - 5*h**2 - 4*h**3 - 4*h - a = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.34108ms in minutes?\nAnswer: 0.001589018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42683 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkhkkhkhhnnhvhnn. What is prob of picking 3 v and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from bbyybtbbybbytby?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:47 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 - 2 = 4*y, 0 = 5*l - y + 5. Let w = 182 + -313. Let a = -1967\/15 - w. Is a at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**0*i*i)*i*i**(4\/7))\/(i\/(i**3*i)*i**(2\/13)))\/(((i**(2\/3)\/i)\/i)**5\/(i**(1\/4))**45) assuming i is positive.\nAnswer: i**(23297\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 322 + -541?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 4 = 0. Let j(d) = -2*d**2 + 1. Let k be j(-2). Let q = k + 18. Solve q = -3*b - g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(168\/35))\/(5\/9). What is the smallest value in -0.1, -0.04, a, 2\/15, 0.14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6268 (b) -2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/25*(-20825)\/(-2499).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/67 - 47\/335. Let n be ((-12)\/(-45))\/((-6)\/9). Which is the third biggest value? (a) q (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2712499.8 months to centuries.\nAnswer: 2260.4165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1791 + 1790.5. Let b = -10\/31 + 101\/217. Put w, b, 0.1, -0.2 in increasing order.\nAnswer: w, -0.2, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.59251 hours to milliseconds.\nAnswer: 207333036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 2753804*u\/7 - 1895859117604\/7.\nAnswer: -(u + 1376902)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-6)\/21 - 52\/14. Let b(t) = 2*t + 5. Determine b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 - -1 - 5) - (5 + -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 12*p**2 - 10*p - 8. Let c be b(11). Put 1, -5, -2, c in decreasing order.\nAnswer: c, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - 1684.859866.\nAnswer: -1712.859866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/4)\/d*d))\/(d\/(d*d**2*d)*d))\/(d**(-12)\/(d\/(d\/(d*d**(2\/3))*d))) assuming d is positive.\nAnswer: d**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2)\/c*c**(-2))\/(c**(5\/3)\/((c*c\/((c**3\/c)\/c))\/c)))**(-2\/27))**37 assuming c is positive.\nAnswer: c**(1480\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 3*v**2 + 3*v - 12. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145 + -231?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*r**2*s**2 + 9032044*k**3*s**2 + 3306*k**2*r**2*s + 4*k**2*r*s - 77*k*r*s**2 wrt k.\nAnswer: 6*r**2*s**2 + 54192264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + 11. Give l(5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221 (base 6) to base 2.\nAnswer: 1000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -21. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Suppose -a*y + 3 = -9. Suppose 248 = 4*d + 4*v, 224 = -0*d + y*d - 4*v. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102, 203, 292, 363, 410, 427, 408?\n\"Answer: -k**3 + 108*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 2. Let s be (a - 1) + 1 + 2. Suppose -2*i - 4 = -5*j, s*j + 0 = 4*i - 4. Calculate the smallest common multiple of j and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - 9. Let i = -4 - c. Suppose 2*j = 5*n - 6, -3*j + 4*j = n. Sort i, 1, n, -4 in increasing order.\nAnswer: -4, i, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364918 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*v - 232, 0 = -4*r - r + 5. Let s = 35\/246 - -57125\/492. Let n = v - s. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + 3 + 31 + -23.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/((3\/6)\/1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 14)\/(-5 + 6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jkshp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18 - (0 + (-25)\/9). Let d be u + (4 - -43 - -2). What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 40.4. Which is the second biggest value? (a) 0.07 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 194\/18 - (-14)\/63. Suppose -10*z = -r*z + 4. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - b23da?\nAnswer: -b23dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 8*f - 13*f - 35, -2*g = -f - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*r - k, -17 = 4*r + 4*k - 9*k. Suppose -26 = -5*w + 4*n, -w + 3 = -n - r. Let i(f) = -f**2 + 5*f + 6. Let y be i(w). Sort 4, y, 2.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5394 + 5396.01. Is -0.3 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 65. Let n(y) = 10*y + 377. Let j be n(-38). Let o(v) = 2*v + 22. Determine j*r(a) - 8*o(a).\nAnswer: -a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {p: 1, k: 1, g: 1, r: 1, j: 1, q: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 424434?\nAnswer: -424433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/27)*q\/((q\/q**(-12))\/q*q))\/(q**(-1\/17)\/(q**(-3\/11)\/q*q)) assuming q is positive.\nAnswer: q**(-61855\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45841 + 1002.97841. Round q to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*z - 6, 3*z - 2 = 6*w - w. Suppose 5*u = -m + 639, -w*u - 365 = -5*u + 4*m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 415*y + 2670 = 0. Calculate y.\nAnswer: -89, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/12*(3 + 1). Suppose -c*s - 2*w = -2, 2*w - 4*w = 4. Let q(f) = 71501*f - 2. Let h be q(s). What is h rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmmd. What is prob of picking 1 c and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:27 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-175))\/((-20)\/25)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972220357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35*(-10)\/(-200))\/(1*-1).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15747*q**3 + 830*q**4 + 1008*q - 7876*q**3 - 7871*q**3 wrt q.\nAnswer: 9960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1567967 (base 12) to base 6.\nAnswer: -233342211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 8}. What is prob of sequence rk?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1376551218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 + c. Let v be u(1). Let d(t) = -17*t + 10. Let l be d(v). What is the highest common factor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0360723 to 2 dps.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, r: 2}. Give prob of picking 3 s.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7675 and 14518951.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 45*q - 35. Let p be k(2). Suppose -59*i = -p*i - 3*m - 8, 35 = 3*i + 5*m. Solve 3*f - 10 = i*s - 2*f, 3*f - 6 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12\/23 (b) 1\/9 (c) 0.1 (d) 36\/7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p + 25. What is u(-19)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 79, 88, 97, 106, 115?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -215, 7, 29 in increasing order.\nAnswer: -215, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - c - 8 = 0, -5*h + c + 18 = -6. Let j be 4*(-6)\/(-32)*h. Suppose m - 3*m + 2 = -4*x, j*x + 19 = 5*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.07. Let o = 0.47 + v. Let f be (2 - 1) + 1\/(-4). What is the second smallest value in f, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:55 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 41. Let p = 26 + q. Solve -5 = 2*m - p*t + 2*t, -4 = m - 2*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14549443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-173.\nAnswer: -17.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1896 + -1618. What is the highest common factor of j and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 13272 = -2887692. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*m + 14044, -107*m + 3503 = n - 108*m. What are the prime factors of n?\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -164*j + 6. Let z(x) = 2031*x. Determine o(z(a)).\nAnswer: -333084*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kws when three letters picked without replacement from sbbvsbbswwbbsvvbbkb.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.266 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 320 + -944. Let l be 3\/(-5) + s\/(-65). What is the hundreds digit of l\/(45\/(-20)) + 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 20*h + 60522 = 0. Suppose 12*p + 375 = h. Calculate the highest common divisor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 4*c)*(-10*c + 14*c + 34*c)*(-1 + 2*c + 1 + 2*c + 3*c - 3*c - 2 + 2 - c + (-1 + 1 - 2*c)*(-4 + 0 + 6)).\nAnswer: -152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(48)\/sqrt(4))\/sqrt(4))**2 + (sqrt(48)*2 - sqrt(48))**2 + -2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:32 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57919, 53746, 46789, 37048, 24523, 9214, -8879?\nAnswer: -29756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 - 0.6. Sort 1\/2, r, 2\/9 in increasing order.\nAnswer: r, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68) + 1 + -4 + 3)**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = 15*f + 84. Let i = f + -39. Let a be 16 + (6\/9)\/(4\/i). Solve -a*d + 13*d = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -115, -2, -0.2?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -9854 and -49076.\nAnswer: -58930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3647945, 3647947, 3647949, 3647951, 3647953, 3647955?\nAnswer: 3647957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207148 is divided by 41331.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + v + 18 = 0, 5*v + 0*v + 58 = 3*l. Suppose 20*r - 24*r + 380 = 0. Let h be 17\/102 - r\/(-6). What is the greatest common divisor of l and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4044 + 6109. Is 2064 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 2*i**3 + i**3 + 0 + 0 + 2*i**3 + (-i**2 + 2*i - 2*i)*(0*i + 0*i + i))*(-3*i + 2*i + 2*i).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3628 is divided by 620?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.86 rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/120 + k**5\/15 + k**4\/12 - k**3 - k**2. Let r be n(4). Find the third derivative of b**r + b**2 + 3*b**6 - b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/246 - -3647\/492. Calculate the common denominator of 43\/10 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 9 - (0 + -1)) + -6164 + 6160 + -21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Suppose 5*x - 71 = -26. Suppose -4*o + x + 7 = u. Solve 1 + 2 = b - 2*r, 3*r = -o*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * 593\nAnswer: 2016.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 1)*(1 + 5 - 4) + 4 + 1 + 1)*(3*p**4 - p**4 - 7*p**4).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 22320, 0.5, -0.01 in ascending order.\nAnswer: -2\/15, -0.01, 0.5, 22320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -11 (c) 0.9 (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(31 + 17). Let r(a) be the third derivative of -a**6\/3 + 2*a**4\/3 - 768*a**2. Let h(x) = 8*x**3 - 3*x. What is i*h(z) - 3*r(z)?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 14*d**2 + 12*d + 13. Let q be x(13). Let -3*s + 2*s**2 - 4*s**3 + 2*s + q*s**3 + 3*s**3 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 10*o**2 - 2*o - 9. Let a(y) = y**2 + 1. Let v(k) = 6*a(k) + u(k). What is the units digit of v(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 209. Let h be 13\/11 + -1 - 7380\/(-66). Let d = g + h. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 58820.\nAnswer: 235280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 3*s. Let d be y(-6). Let r = d + 113\/2. Let x = 2 + -2.1. Which is the closest to 2? (a) r (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/765359 and -37\/1519?\nAnswer: 5357513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-13)\/(78\/12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4964240 and 744636?\nAnswer: 14892720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c - 2. Let m be a(-1). Suppose -m*h + 27 - 96 = -5*q, -71 = -3*q - 5*h. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 277 - 374. Let g = s + 96.6. Which is the closest to 3.3? (a) g (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121341 - -705?\nAnswer: -120636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -126*w**2 + 625*w + 16. Calculate s(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 18*z. Suppose -5*t + 5*y + 15 = z, -2*y + 3*y + 7 = 2*t. Let g be (1\/3)\/((-2)\/(-936)*t). Calculate the greatest common factor of g and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(-4*a + 6 + 6*a - 4*a) - 3*a + 7*a - 3*a as p*a + n and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17857492 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/154*1\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 415031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8700.694 + -8716. Let s = 0.306 + i. Put s, -0.3, 3 in ascending order.\nAnswer: s, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -485.8 + 486. What is the nearest to d in 16\/11, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12 - 20 - o + 17. Let m be 7 + -4 + 0\/(-3). Suppose 32 = k + m*k. What is a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/5)*(a**1*a)\/a*(a*a**3*a)**(-24) assuming a is positive.\nAnswer: a**(-596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x - 2*x)*(x - 3*x + x)*(0*x + 0*x - x) + (0*x**2 - 4*x**2 + 5*x**2)*(-x + 0*x + 3*x) + 0*x**3 - x**3 + 2*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 57494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*h - 32 = -2*h, -3*l - 5*h = -80. Let i be 6\/9 - (-21)\/9. What is the greatest common factor of l and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 73 = 5*i + 3*l, 3*i + 4*l = 110. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334325?\nAnswer: 5, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 18*i**2 + i - 15. Let p be f(18). Let j be (-5 - -4) + 45 + 1. Suppose -2*t + j = p*t. Calculate the remainder when 26 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 14821 - 14785. Sort b, 24, 3 in increasing order.\nAnswer: 3, b, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+5960720.41297\nAnswer: 5960720.61297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 144 + -67 - 149 - -116\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and -1678.\nAnswer: -1678.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + 15205890\/(-5). Let w(n) = -2073*n**3 + 20*n**2 - 13*n - 9. Let p be w(13). Let q = h - p. Round q to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45331 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32738?\nAnswer: 2, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 11, 1, -87, -283, -617, -1119?\nAnswer: -1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -281, -762, -1477, -2450, -3705, -5266?\nAnswer: -7157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-3\/7)*k)\/k*k\/k**(3\/8)*k*k)\/(k**(2\/7)*k**(-4)))**(2\/25) assuming k is positive.\nAnswer: k**(443\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1020 and 50609.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-405)\/(-30))\/((-30)\/8).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Solve -3*r + 8*r + 5*p = -20, -4*r - 15 = m*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171698 and -9.\nAnswer: -1545282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/4 - 5\/12. Let j = 4 - 5. Let i = 4 + j. What is the second smallest value in h, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m - 42. Let h be f(-3). Is ((-4173)\/(-6) + h)*(0 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8443196 to the power of 1\/2, to the nearest integer?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*m + 92*m + 498. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 57.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922 = 98*b + 1720 + 1554 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-14*r**2 + 4*r**2 + 7*r**2)*(-5 + 5 + 2) - 4*r**2 - r**2 + 2*r**2)*(3*r - 4*r - r + (-1 + 4 - 1)*(1 + 2*r - 1) + 0 + r + 0 + 4*r + 2*r - 4*r).\nAnswer: -45*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (6 + 77 - 8 - 3 - 5).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2*w**3\/3 - 5*w**2\/2 + 11*w - 1890. Let k be 0\/2 + 1*11. Does 19 divide h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88109*q**4 - 1669*q**2 - 35*q - 1.\nAnswer: -2114616*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -105116 and -105116 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -166692 smaller than -166691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000996 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -286\/10971 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (6*(sqrt(84) - (sqrt(84) + (sqrt(84)*-1 - sqrt(84)))) - sqrt(84)) - (-2*sqrt(84)*-1 + sqrt(84)))\/(-6*sqrt(1728)*2).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p. Let f be (-2)\/(-3) + 1\/3. What is the least common multiple of z(4) and 1 + (f - -1)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-7.4.\nAnswer: -14.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50349.9 tonnes to nanograms.\nAnswer: 50349900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258969396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3 + 303239372*n**2 + 1819436124*n + 2729154132 = 0?\nAnswer: -75809837, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.861035 rounded to one decimal place?\nAnswer: -174.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1458743*x**5 + 157*x - 2479 wrt x.\nAnswer: 29174860*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 14 + 6. Sort 0, s, -1, 3 in descending order.\nAnswer: s, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**8\/5040 - w**7\/2520 - 2*w**3\/3 + 3*w. Let f(i) be the second derivative of p(i). Factor f(c).\nAnswer: -c**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2812916 to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347285 to the power of 1\/2, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2*18\/48?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 2. Let y(n) = -10*n + 11. Let v(o) = -11*t(o) - 2*y(o). Let c(l) = 88*l - 17*l - 15*l - 25*l - 23*l. Determine v(c(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0.3, 2\/5, 5, 56.\nAnswer: 0.3, 2\/5, 5, 19, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 4. Let k be v(3). Let y = 2 + k. Suppose 3*a + 7 = -o - 0, y = o - 2*a - 8. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**4 - 2*w**4 - 3*w**4)*((1 - 1 + 1)*(-4 + 3 + 3) + ((-1 - 2 + 4)*(4 - 3 + 0) - 4 + 8 - 26)*(4 - 4 - 3)).\nAnswer: 65*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 12 = -7*b + 5*b, 20 = -3*p - 4*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10208 and 53\/1392.\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - (-65 - -63 - -38)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7568489 greater than -7568494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w + 5. Let y be b(-7). Let v(h) = h**3 - 5*h**2 - 2*h + 6. Let m be v(y). Is 1\/m - 114\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 22*a**2 - 40*a - 3. Let m be c(-20). Put m, 8, -38 in increasing order.\nAnswer: -38, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8370 + 150757\/18. Calculate the common denominator of -83\/8 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1136 (c) 4 (d) -809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12119095 to 3 decimal places.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 4*p + 15. What are the prime factors of 2\/((-6)\/(-525)*p)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422334 (base 7) to base 12.\nAnswer: -36220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -327.\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-2)\/(-220*(-138)\/157872).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + o**2)*(0 - 7 + 3) + 5480*o - 365*o**2 - 2740*o - 2718*o.\nAnswer: -369*o**2 + 22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122615331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -186 + 389\/2. Let z(h) = -h**3 - 5*h**2 + 13*h + 3. Let y = 25 - 32. Let o be z(y). Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -2. Suppose 0 = 3*u - 4*o - 24, -2*u + 6*u + o = 32. Suppose -5*y + u*y = l. Solve y*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*v - 40 = 1255 + 1948 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/2)*w)**30)**(-46) assuming w is positive.\nAnswer: w**(-4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(2 + sqrt(325) + -1 + (sqrt(325) + -1)*-5)*-3)**2.\nAnswer: -2040*sqrt(13) + 47089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203164034 (base 7) in base 9?\nAnswer: 24370465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/270 + k**5\/60 + 56*k. Factor f(r).\nAnswer: -r**3*(r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21317737*x**2 + 5301366*x wrt x.\nAnswer: -42635474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86904.04 rounded to the nearest 10?\nAnswer: -86900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from rtswssd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Let t(h) = -r*h + 2 + 8*h**2 - 3*h**2 + 2*h. What is the units digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/162 and -77\/5184.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let j be h(3). Let g(c) = -2*c - 2. Let q be g(j). Does 4 divide ((-2)\/(-3))\/(q\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 33180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (3 - 1*-466 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) - (sqrt(114)*-3 - sqrt(114)))*5)\/((2*-3*sqrt(216) - sqrt(216)) + sqrt(216) - sqrt(216)).\nAnswer: 125*sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40345077 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 6. Let a = 2 - w. What is the remainder when 25 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 15*n + 44. Determine j(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 29. Suppose 0 = -0*q - q - 2. Let j = q - -10. Calculate the remainder when c is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 5*l**2 + 3*l + 3. Let y be u(4). Let c be 1*4 - (1 + y). Find the second derivative of -4 + 2*p + p**2 + c wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5216, 5326, 5436, 5546?\nAnswer: 5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o**2 + 907*o - 131. Calculate y(39).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.792 + -38.308. Let g = -39 - s. Suppose -4*n + 4 = -2*n. Which is the closest to n? (a) -0.3 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/35 + -4 - -7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 - 1. Let t(g) = 118*g**3 - 4720*g**2 + g - 45. Let a be t(40). Let x(d) = -6*d**3 - 5*d**2 + 14*d - 5. Calculate a*k(r) + x(r).\nAnswer: -r**3 + 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = 2*p, 3*p - 4*d + 2 + 4 = 0. What is the first derivative of 5 - p + k**2 + 0*k**2 - 1 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30859*p + 20 = -w - 2*w - 30861*p, 25*w - 8*p + 68 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52343, -104694, -157045?\n\"Answer: -52351*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 - 11*j + 4. Let k be s(9). Let w be (-2)\/(-9) + k\/(-18). Let l = -29 - w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllaqa. What is prob of sequence ql?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i - 253 - 56*i + 253.\nAnswer: -82*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 46. Let c = -1.828 + 0.028. What is the third biggest value in 0.5, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 - 13*h + 12. Suppose -4*f = 5*p + 34, -4*f - 12 = -3*p + 6. Let s be (-4)\/3*f\/1. Find the common denominator of m(s) and -52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0 + 0 - r**2. Suppose -5*a + 19 = -3*i, -3 - 7 = 2*i - 2*a. Let l = i + 3. Give n(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5071 or -5051?\nAnswer: -5071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043.\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3031506\nAnswer: -1\/1010502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3 - 6*f**2 - 1753452*f + 23469962 with respect to f.\nAnswer: 6*f**2 - 12*f - 1753452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00983 plus 4998103?\nAnswer: 4998102.99017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60091555*c**3 + 6486822*c**2 - 5 wrt c.\nAnswer: -360549330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 35.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 48 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14*-2*(-145616)\/144 + 14\/(-63)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k - 50*k - 3*w = -40, 0 = -3*k - w + 20. Let c(b) = b**2 + 2*b + 3. What is the remainder when c(-6) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 10*o**2 - 14*o + 6. Let q be z(8). Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (269\/2)\/((-3155)\/14). Let y = 14149\/4663090 + 1\/7390. Let t = y - h. Which is the closest to 0.1? (a) -2\/11 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 3\/7 (c) 177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -109*s**2 - 14*s + s**3 + 64*s**2 + 56*s**2 - 6 + 4. Give j(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41141 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (135\/(-1350))\/(4*16\/146) and -103\/720.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 3.5.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14052 or -14051?\nAnswer: -14051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248\/(-195) + -10*(-18)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506288 is divided by 168658?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4775 and 375.\nAnswer: 71625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 7. Let r be (-4)\/(-10) + 2\/(-5). Suppose r*q = 2*q. What are the prime factors of k(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (792\/(-22))\/(-108)*(-1)\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5500)*6 + (-4*sqrt(5500)*-2 - sqrt(5500)))\/((2*sqrt(360))\/(5*sqrt(8))).\nAnswer: -125*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-22)\/33*2\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 935793*q - 308423 wrt q.\nAnswer: 935793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.34, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 + 0.2. Let w = h + 2.2. Let b = 0.85 - 4.85. What is the second biggest value in b, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43152 divided by 3.\nAnswer: -14384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906454211.\nAnswer: 3, 23039, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -74, 1, -4, 2, -3 in decreasing order.\nAnswer: 7, 2, 1, -3, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/3)\/((-16)\/(-48)). Let b(h) = o*h**2 - 30*h - 33*h + 63*h. Let k(t) = -17*t**2. Calculate 6*b(r) + 5*k(r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let p = -0.5 - 1.5. Let g be 3*(-1 + 14\/16). What is the third biggest value in g, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45*4\/36 - (-144160 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*t**3 - 57\/2*t + 15 + 12*t**2.\nAnswer: 3*(t - 1)**2*(t + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 1 + -1 + 1. Let g = v + -5. Let z(l) = 4*l + 4 - 6*l + g. Let t(a) = 3*a - 11. Give 4*t(d) + 7*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1781318 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52755 greater than 53598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85969 or -85953?\nAnswer: -85969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.6. Let y = -989\/35 + 202\/7. Which is the closest to -0.01? (a) z (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 302744*x + 302749*x + 302756*x - 908254*x.\nAnswer: 5*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26328*s**3 + 26482*s**3 + 2*s - 52682*s**3.\nAnswer: 128*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**17\/(s**(-1)*s) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*k + 4)*(-4*k**4 + 3*k**4 - k**4) - k**5 - 182*k**2 + 13015*k - 13015*k.\nAnswer: 7*k**5 - 182*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 654*m**2 + 14*m + 15. Let x be k(-1). Which is smaller: x or 654?\nAnswer: 654","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 3*d = -27*t - 23633, 0 = -4*t + d + 47287. What is t rounded to the nearest one hundred?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2064\/64 + (-5 - 0). Suppose 6*g - 16*g + 270 = 0. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 148*b + 5476.\nAnswer: (b - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 54. Suppose -25 = -5*c - 4*k + 6*k, i = c - k. Solve c*n + 3 = 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -623 and -398940.\nAnswer: -399563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(300)*2)\/sqrt(10))\/(5*sqrt(90)*-1))**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*y + 11 = 25, 0 = -3*y - 12. Let s(p) be the second derivative of -p**5\/20 - 3*p**4\/4 + 11*p**3\/6 + p**2\/2 - 2*p. What is s(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 13*z**2 - 34*z + 30. Let p be j(-9). Solve -3*w = -6 + p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 3030 = -683. What is the remainder when z is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17732 and 5239.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:35 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200\/(-5)*-1 + (-4)\/(-1) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.71 + 2.6. Let n = -83517.88999904 + 83518. Let c = j + n. What is c rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 b when four letters picked without replacement from hhybhbbhbhhhbyb?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4321113, -8642225, -12963337?\nAnswer: -17284449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6783.6 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -16711 + 16695 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 8*l + 17. Let n(s) = 2*s. Let y be n(4). Suppose q + y = 3*q. What is the remainder when b(4) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22912.6 - -22913. Put q, -3\/2, 55 in descending order.\nAnswer: 55, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -f - 4*f - 4*d, 4*f = -5*d + 45. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**3\/7 + 4358*r**2 - 30422*r.\nAnswer: -2*r*(r - 7)*(6*r - 15211)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 9}. Give prob of picking 1 d and 1 s.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/29 + 67\/261. Let y = -19 - -19.5. Which is the third smallest value? (a) u (b) y (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 299780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 741959 + -1822993654\/2457. Let b = r - -1\/189. Let q = 1257\/4 + -316. What is the third smallest value in 1, b, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477991497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1692, -35887, 1, -0.1?\nAnswer: -35887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56878 rounded to the nearest one thousand?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -172386*i. Let d(r) = -8*r. Give d(j(l)).\nAnswer: 1379088*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 640, 1301, 1872, 2347, 2720, 2985?\n\"Answer: -i**3 - 39*i**2 + 785*i - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -0*d + 4*d. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*i**2 - 39*i**2 + 899*i + 14879*i - 4*i**2 + 0*i**2 + 5*i**2 + (0 + i + 0)*(i + 1 - 1).\nAnswer: i**2 + 15778*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4635 (base 15) to base 9\nAnswer: 22385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 55. Suppose -4*t + 1 + o = 0. Let d be (-2)\/t + (-11)\/(-18). What is the third biggest value in 5, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2345 divided by 127172.\nAnswer: -2345\/127172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose q + q = x. Suppose -2*a + 6 = -q*a. Solve 3*s = a*g - 2*g + 11, 31 = 3*s - 5*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 18 - 52)*(3*s + 8*s + 6*s) + (0*s - 2*s + 4*s)*(5 + 0 + 0) to the form c*s + k and give c.\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370361 is divided by 10129.\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -4*l**3\/3 + 340*l. Let y(k) = -4*k**2 - 14. What is y(g(t))?\nAnswer: -256*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2. Let t(w) = -955636*w - 14245. Let u(h) = 2819*h + 42. Let y(d) = 6*t(d) + 2035*u(d). Calculate y(s(z)).\nAnswer: 5698*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*u = -2*u - 4, 2*t = -u - 1. Suppose -4*v + 48 = -t. Let o be (v\/8 + 3)*2. What is the highest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8505 rounded to 2 decimal places?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125419874 to the power of 1\/3, to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1044 and 174?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -106.31147\nAnswer: 31.893441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2592, 1384, -614, -3402, -6980?\n\"Answer: -395*l**2 - 23*l + 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8896374 rounded to 4 dps?\nAnswer: 0.8896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - -1 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 294 = -8 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 15*w**2 + 5*w + 88. Calculate x(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 51*z - 1. Let u(j) = -50*j + 1. Let x(h) = 5*m(h) + 4*u(h). Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13130789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 446 = 421. Which is greater: -25 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*1\/(-6)*16. Suppose -5*i - d*o + 4*o + 2787 = 0, -5*i + 4*o = -2789. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 43*v**2 - 1. Let l(x) = -46881*x. What is l(i(d))?\nAnswer: -2015883*d**2 + 46881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*g + 5*g, -u = 3*g + 13. Let h = u + 15. Solve d + 2 = -0*f + f, 2*d - h*f = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 12*x + 13. Let o be s(-11). Suppose o = 3*k - 565. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 24. What is the units digit of ((-24)\/x)\/((-4)\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/84 + 24\/28. Is 6 a factor of o + -11 + 5 - -40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gshnllszg. Give prob of picking 1 s, 2 l, and 1 n.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101530884083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3214, 4658, 4356, 2314, -1462, -6966, -14192?\n\"Answer: c**3 - 879*c**2 + 4074*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011111000 + 110?\nAnswer: -11011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -222. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 212526?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 90\/7, 2\/3, -4, -0.52, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h + 2*h)*(4 - 4 - 3*h**2)*(0*h + 2*h**2 + 0*h).\nAnswer: -30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037001858.\nAnswer: 2, 3, 172833643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260502*u - 1 + 5*u**3 - u**3 - 260500*u + 7*u**2 to c*u**2 + n*u + q + j*u**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/105 + (-3)\/(-21) - (-14874)\/(-33768).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 213, 296, 541, 1032, 1853, 3088, 4821, 7136?\n\"Answer: 14*r**3 - 3*r**2 - 6*r + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20655 by -9.\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from {f: 11, l: 9}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134617 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.0288 plus -3?\nAnswer: -141.0288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/581360 and 107\/10.\nAnswer: 581360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4161*-9.\nAnswer: 37449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -277 (b) -6 (c) 6.6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14 - 2 = 0, 0 = -5*f - 4*v + 107. Let a(k) = 13*k - 33. Let q be a(8). Let c = q - f. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 + 2*s - 8. Let v(o) = o**2 - o - 1. Let b(l) = -j(l) + 6*v(l). Let t be b(8). Solve -w = t*w + r - 4, 4 = 5*w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136\/147 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 0*i - 7*i - 2*i - 8*i + 2*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -26*t + 19\/6*t**3 - 2 + 0*t**2 + 0*t**5 + 1\/42*t**7 + 0*t**6 + 53\/12*t**4. Find the second derivative of s(w) wrt w.\nAnswer: 20*w**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, i: 6, e: 3}. What is prob of picking 1 e, 1 i, and 1 y?\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84376 divided by 398?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4835+77235\nAnswer: 82070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**22*(x\/(x**(-1\/4)*x))**(-1\/13))\/((x**(1\/4)\/x)\/(x\/x**(2\/5))*x**(2\/5)\/(x*(x**(1\/4)*x)\/x)) assuming x is positive.\nAnswer: x**(1997\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -1 + sqrt(11) - (-2 + sqrt(11)*-1))**2.\nAnswer: -300 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 2. Let a be r(-5). Let l = a - -19. Suppose 4*k + 12 = l*k. Is 6 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 3, 21, 53, 105, 183, 293?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 7 + 15. Calculate the remainder when 45 is divided by 15 + (b - -1)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-17 - -7 - -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/2 + 422*q**3 + 89463*q**2 + 177662*q + 177241\/2 = 0?\nAnswer: -421, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-938 + 938 + 127*y)*(-y + 3*y - 8*y**3 - y**3).\nAnswer: -1143*y**4 + 254*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + o + 23, 41*o = -5*q + 46*o - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -2 - 4) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9658896 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(3\/7)\/g))\/g*g)\/((g*g*g**(-2\/3))\/g))\/(g**3\/g**0) assuming g is positive.\nAnswer: g**(-37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 1) + -11 + 11. Suppose -g*w = -4 + 10. List the prime factors of w\/((-69)\/17 + 4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7316 - 7320. Let w(u) = 6*u - 4. Calculate w(b).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*u + 22, 23941 = g + 4*u + 23957 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 8 + 8 + (-c + 4 - 4)*(-1 + 5 - 2) + 5*c + 0*c - 2*c + 0*c + 2*c - 4*c + (2 - 5 + 1)*(4*c + 3*c - 5*c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -528, -539, -550, -561, -572, -583?\n\"Answer: -11*q - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**9*l**(-2\/29))\/(l**(2\/23)*l**(17\/2)) assuming l is positive.\nAnswer: l**(-20885\/1334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + c**3 - 2)*(2*c**2 + 0*c + 0*c) + 5*c**5 + 3 - 3 + 1 - 1 - c**5 + (-5*c - 7*c + 6*c)*(-2*c**4 - 2*c**4 + 2*c**4).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 - 2*j - 1. Let n be b(-3). Let g = -171.6 - -13. Let f = g - -158. Put n, 0.1, f in descending order.\nAnswer: n, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/(-33) - (2847\/(-9490) + (-351)\/(-110))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5541.\nAnswer: 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - -10021222212?\nAnswer: 10022001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 163*i + 18 = 168*i, 3*d = -3*i + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*i + i + 12, 6 = 2*k - 4*i. Let m be (-3 - -3 - k)*-7. What is the highest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 21. Let x = 618 - 623. Let r(m) = -m. Let c be r(2). Put x, c, n in descending order.\nAnswer: n, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2 + 41*m - 148 = 0.\nAnswer: 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4 and ((-2058)\/56)\/(6\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413077392 a multiple of 3261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24779701 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) - (sqrt(832) + (sqrt(832) - 3*sqrt(832)))))*5.\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 - 2*d - 3. Suppose -3*j + 2*i = -6*j - 17, 7 = -5*j + 2*i. Let o be (j\/5)\/(3\/15). Let r = o - -1. Determine w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5 + a**2 - 4*a**2 - a**2 + 17*a + 3*a**2. Suppose 10*k = 19 + 151. What is r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 120*r + 2 - 4.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 697694962 a multiple of 2707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/77 - (72\/(-14))\/3. Let q be 3 + -8 + t + 10\/2. Solve 3*g - q - 34*g**3 - g + 32*g**3 + 2*g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d - 18*d - 7*d**4 + 6*d wrt d?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzmmmmzmzm. What is prob of sequence mz?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let n(g) = 11*g - 16. Let x(s) = -4*m(s) + n(s). What are the prime factors of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/87, -2\/7, 0, -0.4, -94, 389?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1100)*-1)**2 + sqrt(1100))*4.\nAnswer: -280*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(16\/(-144))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - 76. Let u(w) be the second derivative of -q*w + 1\/12*w**4 + 0 + w**2 + 1\/20*w**5 + 0*w**3. Calculate u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3768 = -3*k, -3*o - 6*k + 7*k = -2821. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 5 (c) 2964 (d) 1 (e) 0.02 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-4)\/18). Suppose 2*f = 12 + 4. Factor -7 - 8*l**2 + 3 + f*l + 2*l**y + 2*l.\nAnswer: 2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 470\/(-4)) + 1\/2. What is the highest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2) - (-9 - -5). Let d(q) = -9*q + q + j*q. Let h(l) be the first derivative of l**3\/3 - 53. Determine h(d(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 12*h**2 - 10*h - 57. Let g be c(-6). Suppose -17 = -5*q - 0*q - 2*j, 2*q + g*j = 9. Factor 0 + 4*x - 10\/3*x**2 - 2\/3*x**q.\nAnswer: -2*x*(x - 1)*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 10*p + 22*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.40161 + -0.00161. What is the third biggest value in d, 3, 1392?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2325 and -135 - -139 - (0 + 23)*-2.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 9*b + 12. Let f be x(-10). Is f*1*1143\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433648004 a multiple of 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/7 - (-212)\/(-742))\/((-2)\/210638) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117018029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m - 53. Let p be y(8). Sort -6, -15, 4, p in decreasing order.\nAnswer: 4, p, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297\/(-29799)*(3920\/42)\/10.\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312169.2 milliseconds in nanoseconds?\nAnswer: 312169200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -438826.679 - -438392. Let r = 435 + b. What is r rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94249\/216 + 3507\/8. Calculate the common denominator of t and ((-4)\/7)\/((-765)\/119).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7640 - 8360 = -36*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -338, -337, -336?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.091 or 1.19?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*y + 581, -4*q + 662 = 3*y - 103. Let p = q - 199. Let d(f) = f**2 + 8*f + 6. What is d(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from chdah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-7478*b**4 + 17614767*b - 17614767*b).\nAnswer: -14956*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3114 (base 15) to base 11\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98.3821+17715\nAnswer: 17813.3821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*b - t + 5*t, -3*t = 15. Suppose -2*n + 8 = b*n. What is the second derivative of 2*s**n + 2*s - 2*s**2 + 3*s**2 - s wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 10*u + 16. Let x be d(-8). Suppose x*t + 2*t = -c + 59, -2*t - 4*c + 44 = 0. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaojjaaajjaaa. Give prob of picking 2 o, 1 a, and 1 j.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 12:00 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/120 - t**5\/6 - 3*t**4\/8 - 4*t**3\/3 - 4*t**2. What is the tens digit of i(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 94. Suppose 2*y - b = -12. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*m**5 + m**4*t - 3273*m**3*t - 10*m**2*t + 18*m**2 + 184*m*t wrt m?\nAnswer: -2280*m**2 + 24*m*t - 19638*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**1))\/t*t*t\/(t*t**(-3)))\/(t**(-10)*t*t**(1\/8)\/t) assuming t is positive.\nAnswer: t**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 3743.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1037353?\nAnswer: -1037355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21379435 to the nearest integer?\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 65. Suppose 3*f - x = 2*f. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 2\/17, 2.49034?\nAnswer: 2.49034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42772 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 305083308 and 20625.\nAnswer: 305103933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 2*b**2 + 1\/120*b**5 + 0*b + 0*b**3 + 1\/48*b**4 + 0. Factor w(z).\nAnswer: z*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4968*q**3 + 1084*q?\nAnswer: -29808*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -874, -883, -892?\n\"Answer: -9*p - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (4 + 4 - (-17 + -7)) - (2 + -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10037 (base 8) to base 2.\nAnswer: 1000000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t - 46 = -0*a + 4*a - 90*t + 29*t, 36 = 10*a + 4*t + 152 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547*((-5)\/15 - (-4)\/3)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5792\/7 + (158\/7 - 22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*k**2 - 50*k**2 - 41*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n = 0. Suppose 3*t + 5*k - 1 = 13, t - 4*k = -18. Let w be t\/35*(8 + -3). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6)*14 - 0. Let m be y*((-125)\/(-15))\/(-5). Suppose -m*b = -38*b + 162. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11098 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-133)\/238*2. Which is the nearest to 1\/4? (a) -1\/13 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*l - 4*x - 10, -6 = -l - 3*x. Let i be 2\/l + 14\/54. Let y = i + 31\/54. Which is smaller: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from vvvuevluleevlvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*t - 5 = 0, -z - t - t = 11. Let h be -64*z\/(1 + 5). Suppose -32 = -n + h. Is n a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17472*k**2 - 2*k - 641?\nAnswer: 34944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48613759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -47) + (-18 - 2) - -10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.246 + -57114741.\nAnswer: -57114741.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 16*h**2 + 35*h + 21. Calculate i(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 5. Suppose -2*k = 4*l - 26, k - 5*l + l + q = 0. Suppose 2*r - 37 = 5*f, k*f - 4 = 1. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 277736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*c + 4*c + 10 = 0, 4*g = 5*c + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 5*y + 1. Let t(p) = 5*p**2 - 5*p - 11. Let f(u) = u**2 - u - 2. Let g(w) = -11*f(w) + 2*t(w). Give 5*g(c) - l(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0, -147\/821, 1\/3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 6*j**2 + 3*j - 3. Let c be r(-7). Solve 0 = 4*l + l - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 56712?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*i**2 + 5 - 51*i**2 + 25*i**2 + 7*i**3 to h*i**3 + c + p*i**2 + d*i and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 308 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 0*r**2 - 2*r**3)*((-4*r - 5 + 5)*(-2 - 3 - 1) - 12 + 14*r + 12) to v + g*r + w*r**3 + x*r**2 + z*r**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 = -101*g + 1167 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 134781*g + 4852108. Give y(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(sqrt(130) + (sqrt(130) - ((sqrt(130) - sqrt(130)*-2)*6 - sqrt(130))))*1)\/((sqrt(1250)*1 - sqrt(50))\/(sqrt(5) - 1*sqrt(5)*-1)))**2.\nAnswer: -120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70008630?\nAnswer: 2, 3, 5, 2333621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3*u**3 - 18*r**3*u**2 + 8*r**3*u + 391*r**2 - 3*r + 1682*u**2 wrt u?\nAnswer: -6*r**3*u - 36*r**3 + 3364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-126)\/(-30))\/(-7)*1*(-5)\/1. Let a(s) = 28*s**3 - 3*s**2 - 3*s + 5. Let f(p) = 140*p**3 - 14*p**2 - 14*p + 24. Determine c*f(v) - 14*a(v).\nAnswer: 28*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -115. Calculate the remainder when a is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 60 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 5*v**4\/24 + 11*v**3\/6 - 5*v**2. What is the units digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + t = -4*t + 17, 2*n + 5*t = 34. What is the third derivative of 250 + n*m**2 - 3*m**3 - 250 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:15 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7095 - 9.6\nAnswer: 7085.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(10) - -2*sqrt(10)))\/(-5*sqrt(968)).\nAnswer: -sqrt(5)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.845499 to the nearest integer.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 14*v - 11. Let g be q(16). What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n + 1. Let t(s) = -1768*s**2 + 237*s + 5. Let h(j) = 5*m(j) - t(j). Find the second derivative of h(l) wrt l.\nAnswer: 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 19*o**2 + 127*o + 57. Is v(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6 - -6.35. Let y = -1.25 - k. Do y and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -3 (c) -0.639 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 31. Let f be ((-2)\/a)\/(3 - -9*2). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 29*x. Let i(w) = 17*w**2 + 4*w - 8. Let g(h) = -425*h**2 - 102*h + 204. Let u(n) = -2*g(n) - 51*i(n). What is l(u(m))?\nAnswer: 289*m**4 - 493*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37816? (a) -5 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 6 + (-3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 16 = 4*q + 3*o, q - 5*o = 4. Suppose -12249 = -q*u - 5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215026*k**2 + 215034*k**2 - 430053*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 12 (c) -0.2 (d) -46 (e) -2 (f) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12121000233 + 0?\nAnswer: -12121000233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -3. Let x be 7\/(-49)*1302\/62. Let s be 50\/77 - 2\/7. What is the closest to x in s, t, 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1509.86, -3, 0.5, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l + h = 1366, -6 = 3*h. Let n = l + -237. Let k = n + -111. Let y(a) = a**3 + 6*a**2 + 3*a + 2. Give y(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 17, b: 1}. What is prob of picking 2 t?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*w**3*x**3 - 17540*w**3*x**2 - 14*w**3*x + 668*w**2*x - 3*w*x - 2*x + 2 wrt x.\nAnswer: -456*w**3*x - 35080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-3060)\/(-501)) - 1410\/2115.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 3 + 3 + (4*r + 0 + 0)*(-4*r**3 + 4*r**3 - 4*r**4) + 10*r**5 + 24*r**5 + 2*r**5.\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 8, f: 6, d: 1}. What is prob of sequence hi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 1\/330*u**5 + 1\/66*u**4 + 0*u + 3*u**2 + 0*u**3 + 0. Factor v(s).\nAnswer: 2*s*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.925 + 10.225. Suppose -3*r + 3 = 2*t, -2*r - 1 = t - 3. Sort r, -0.5, s, 0.11.\nAnswer: -0.5, 0.11, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12615 (base 10) in base 8?\nAnswer: -30507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 30 = -2*r, -4*u - 11*r + 10*r = -15. Suppose 0 = 2*v - 45 + u. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918429 to the power of 1\/2, to the nearest integer?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38353103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16549 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 501.7.\nAnswer: 501.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458673.\nAnswer: 3, 47, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10032*y**3 + 2*y**2 + y. Let f be k(-1). Let z = f - 110519\/11. Let v = 1004\/77 + z. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 26. Suppose -2*g - 10 - 10 = 0. Let w = g - b. Solve h + w*h = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 + 9*k - 11. Let j be d(-10). Is ((-778)\/4)\/(j\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -17*w - 204. Let k(o) = o**2 - 3*o - 5. Let x be k(5). Suppose 3*z - z + 4*d + 10 = 0, z + x*d = -w. What is the closest to -2\/7 in 0.11, 5, z?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0 + 0 - 6*x. Let o(w) be the second derivative of -w**4\/3 + 12*w. Calculate k(o(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let n(o) = 1 - 4*o - 1 + s*o. Let h(m) = -12*m**2 + 8*m + 8. Let r(k) = 8*k**2 - 5*k - 5. Let d(j) = 5*h(j) + 8*r(j). What is n(d(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbt when three letters picked without replacement from {b: 11, t: 2, l: 6}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/11, 0.1, 4\/3, 4 in increasing order.\nAnswer: 0.1, 4\/3, 18\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**5 + 3*k**3 - 2*k**2 - 3*k + 3. Let c(i) = 9*i**5 - 6*i**3 + 4*i**2 + 7*i - 7. Let m(d) = -3*c(d) - 7*o(d). Solve m(f) = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/1467, 0, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 425, 6, -1\/35, -1\/3, -352 in ascending order.\nAnswer: -352, -1\/3, -1\/35, 6, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 10. What is p(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 67*f**2 + 9*f + 31. Let s be z(9). Suppose s = -13*k + 20970. List the prime factors of k.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m - 13 = -b, -2*b - 4*m + 62 = 0. Let h be (b - 23)*(1 - -1). Solve -8*a - h = -10*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 1\/2*s**2 - 1 + 1\/3*s**3 + 10*s. Is 5 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1266890 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (16\/10)\/(-4) - 524\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 42155854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6120688 divided by 124912\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17966, 31824, 45682?\nAnswer: 59540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000032798 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**(2\/3)*g)*g)\/g)**(-2\/85))**(-3\/4) assuming g is positive.\nAnswer: g**(1\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9106368 tonnes to kilograms.\nAnswer: 910.6368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a second in milliseconds?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1974694.\nAnswer: 789877.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - n + 17, 5*q - 9 = 9*q - 5*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2 + 2)*(-4 + 1 + 4)*(-1 - 5 + 5).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + s + 7234, 3*s + 7249 = q - s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14301430 (base 5) to base 11.\nAnswer: a2972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1000\/(-400) - 1\/(-4)*-14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/11 (c) -0.1 (d) -3\/2 (e) -0.2 (f) 54 (g) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -75, 1, 0.9, 4, 6369.\nAnswer: -75, -4, 0.9, 1, 4, 5, 6369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -7, 9 in ascending order.\nAnswer: -7, -0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + v - 3, 0*v + 2*v = -2. Put 0.23, a, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.23, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10437 = 386*q + 158*q - 1733 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 + 3*m. Let t be 1*-6*4\/6. Let u be q(t). Factor -1 - 4*y**u + 5*y**2 - 2*y**3 - 1\/2*y + 5\/2*y**5.\nAnswer: (y - 1)**3*(y + 1)*(5*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/9 and (-8)\/12 + 3\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 531*x + 243*x**3 - 187*x - 330*x to z*x + y + k*x**3 + j*x**2 and give k.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10861 + -6284. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p + 3*p. What is the remainder when (1\/(-5)*-9)\/(15\/50) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*s - 78, -14*s + 11*s - 63 = -3*g. Solve 2081*k - 2073*k + g = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:30 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14220*n**2 - 45*n - 29866. Let q(i) = -4740*i**2 + 16*i + 9956. Let h(r) = 6*o(r) + 17*q(r). Differentiate h(m) wrt m.\nAnswer: 9480*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.28, 20, -3, -733\/5.\nAnswer: -733\/5, -3, -1.28, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 2*r - 20. Let o(j) = 11120*j. Determine s(o(n)).\nAnswer: 247308800*n**2 - 22240*n - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 8 = -22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, g: 1, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21a - -d793?\nAnswer: d578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**3\/2 - 160*g**2 + 30175*g\/2 + 982995 = 0?\nAnswer: -71, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9624579ml in litres?\nAnswer: 0.0009624579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**9\/37800 + f**8\/16800 + f**7\/6300 - f**6\/1800 + f**4\/4 + 3*f. Let l(q) be the third derivative of b(q). Factor l(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72101 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Let y = -0.19 - 0.01. Let p = 2 - 2.3. Which is the nearest to y? (a) p (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175674 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 - 2*i + 4. Let x be q(0). Suppose n + 35 = x*h - 4*n, 0 = -4*n - 12. Suppose -h*v + 2*l + 1412 = -v, -3*l - 1412 = -4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(2 + 48\/(-21)). Suppose 0 = -5*a + 3*v - 185, 2*a - v + 74 = -5*v. Let h = m - a. Calculate the remainder when 27 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057 is divided by 230?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1737.961 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 3*u - 2. Let s be l(4). Suppose 2*k - s = -b, 6*b = 4*b + 8. Let c be (-565)\/k - 8\/28. What is c rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-72)\/2106.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 459 + 24?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-192)*592\/2590?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -5\/4, -9186, -0.2, 7, -3?\nAnswer: -9186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96579, -386304, -869177, -1545198, -2414367?\nAnswer: -3476684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101001202110 (base 3) to base 14\nAnswer: 522ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 10 + (-2 - -2). Let n = -1 - v. Calculate the common denominator of n and -50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/3 (b) 0 (c) -0.4 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -11.0461658938.\nAnswer: 11.4461658938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6990*q + 70. Let t be h(7). What is t rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3234.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(sqrt(1700) + 0)*4 + 4)**2.\nAnswer: -7680*sqrt(17) + 2611296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045487482 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f + 56. Let u = -1 + 1. List the prime factors of y(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256\/40*144\/(-384)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(32)\/sqrt(4)) + 3*sqrt(6)\/sqrt(3))*-5.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 81700 divided by 380\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 11*m - 62 - 61)*(-1 - 4 + 3).\nAnswer: 22*m + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008521 to five dps.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2524*w**2 + 12*w - 19. Let k(z) = -3787*z**2 - 17*z + 26. Determine -5*k(x) - 7*p(x).\nAnswer: 1267*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 22*c**2 + 48*c - 7. Is u(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:20 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 47*d**2 - 559*d + 57. Give n(25).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/9*(-36)\/(-42). Let d = 0.1 - -1.9. Which is the closest to d? (a) 2\/7 (b) y (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8655517 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 14*b - 4 + 2*b + 4*b - 4*b + (3 - 2 - 2)*(-2*b - 3 + 3) + b - 1 - 4*b + 0.\nAnswer: 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 59\/2. Let m = -0.62 - -0.32. Is n at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-24) + -3*(-32)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + x + 5 = 4, -3*x - 3 = -5*a. What is the first derivative of a*m**2 + 7*m**2 - m**2 + 2 + 4 wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104264489\/(-105) + -5 - (-2)\/15. Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006252 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(72)\/(-2*sqrt(8)))\/(sqrt(75)*-1*-5))**2.\nAnswer: 27\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(272) + -2 - sqrt(272))*-3 + -5 + (sqrt(272) - -2*(sqrt(272) + 0) - 2*1*sqrt(272))**2*-3)*1.\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 + 6*i**2 - 5*i. Let j(s) = -2*s**3 + 3*s**2 - 2*s. Let f be (-1)\/(-4) + 54\/(-24). Let o = 41 - 27. Suppose 1 + o = 3*n. Give f*r(y) + n*j(y).\nAnswer: -2*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 465\/12 - (-4)\/16. Suppose -y + 928 = -h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 93*b - 5322. Let l be j(58). What is the highest common factor of l and 1312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 21*l = p + 4, 0 = p + l + 2. Sort 1, 0, 11, p, -1.\nAnswer: p, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3 + 2*j**4 - 3*j**4 + (-705 + 10*j**3 + 2*j**3 + 715)*(-4 + 4 + 3*j).\nAnswer: 35*j**4 + 30*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**4 + 16*s**3\/3 - 4*s**2 - 9287*s. Let l(a) = 8*a**2 + 21*a - 5. Calculate 8*l(w) - 5*m(w).\nAnswer: 4*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k - 36*k = -1722 + 168 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nien when four letters picked without replacement from {n: 3, i: 2, e: 6, b: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1.3 (c) 0.67 (d) -45 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18*i**3 - i + 2. Determine h(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 175*h - 65 + 154*h - 312*h. Give j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**3\/3 + 5*l**2\/2 + 4*l. Let c(q) = 5*q + 5. Let h(n) = -4*n - 3. Let z(y) = 3*c(y) + 4*h(y). What is -4*b(j) + 7*z(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 7*x + 2*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 2. Let q(w) = 2*w + 4. Suppose 2*f = 10*n - 7*n - 17, -3*n - 3*f + 42 = 0. Determine n*a(h) + 4*q(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8077 + 10.766.\nAnswer: 7.9583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 325 + 329 - 1056 + 402.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13895708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 divided by -25.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.3, -1\/3, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-4)\/(-2)*1. What is the second derivative of -3*d + 3*d**3 + 2*d**i - 4*d**3 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-6)\/(-6))*-19. List the prime factors of (2 + 1)*(-9310)\/m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u**2 + 48*u**2 + 15*u**2)*(-2*u + 4*u + 0*u).\nAnswer: 96*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 122*n**2 + 10497*n + 179. Determine o(-86).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 1, s: 1}. Give prob of sequence shbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -536\/7 (b) -38\/23 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 4*a**2 + 10*a - 13. Let x(g) = 2*g**3 + 2*g**2 + 4*g - 6. What is 2*w(t) - 5*x(t)?\nAnswer: -4*t**3 - 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22\/3, 2\/15 in decreasing order.\nAnswer: 2\/15, -4, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1200?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 34. Calculate the remainder when 92 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652279451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 209056766?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/12)\/(1\/3). Calculate the common denominator of 2\/k + 131\/12 and -33\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/(-84))\/((-2025)\/525))\/(10\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.2 - -1.2. Let f = p - -58.0039. What is f rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:51 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/2 - (-4)\/(-2). Let l(m) = -o - 3*m + 1 + 14*m - 2. Let n(r) = -r. Let t(f) = -l(f) - 6*n(f). Differentiate t(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1573) - -4*(sqrt(1573) - (sqrt(1573) + 0))**2) + (sqrt(1573) - ((-1*sqrt(1573))**2 + 4))*-3)*6*-6.\nAnswer: -170316 + 3564*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289*p**4 - 339*p**2 wrt p.\nAnswer: -6936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 756 + -755.9. Let p = -6.4 - -7. Let s = -1 + p. Which is the nearest to z? (a) 2\/5 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2215 (base 6) to base 16.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12*v + 3296 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k - 21. Suppose 4*x + 4*z = 20, z = 3*x - 0*x - 31. Let v be p(x). Solve 0*j = -3*j + v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22611457 rounded to 3 dps?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -0.187753306498\nAnswer: -24.187753306498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.12 - -0.28. Let i = q - 0.4. Let h = -0.1531 - 6.8469. Which is the nearest to -1? (a) 4\/5 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1286351*o + 425329 wrt o.\nAnswer: -1286351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*c = 14, -5*c - 20 = -2*n - 3*n. What is the greatest common divisor of 9 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 - 68 - 244*p)*((-5 - 4 + 2)*(-1 + 1 + 2) + (1 - 3 + 3)*(0 + 6 - 4)) + (0 + 0 + 2*p)*(2 - 2 - 1) as l*p + c and give l.\nAnswer: 2926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*z**5 + 2299*z**3 + 3*z**2 - 10713.\nAnswer: 13740*z**2 + 13794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.5 + 7. Let t = c - 1.5. Let z be 4\/(-10) + 17\/5. Put t, z, -2 in decreasing order.\nAnswer: z, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -23*n**3\/6 + 2*n. Let g(d) = 23*d**2 - 8*d**2 - 15*d**2 + 10*d**2. Determine g(y(z)).\nAnswer: 5290*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, -64, 4, 64 in decreasing order.\nAnswer: 64, 13, 5, 4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33307 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5\/2 - 84827*z**4 - 3598742928*z**3 - 79139434608*z**2 - 345275758080*z + 1035900555264 = 0.\nAnswer: -84816, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5777 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3291398848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3191*s - 5. Let x(w) = 3850*w**2. Determine k(x(j)).\nAnswer: -12285350*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2509295 is divided by 2509256.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1838)\/12 - (-10)\/60. Let s = d - -262. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (3 - (3 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 2*t - 2. Let a be u(3). Suppose 3*s + s = 2*x - 20, x = -3*s - a. Factor -48*w**3 - 4*w**2 + 10*w**4 - 7*w**2 - w**x - 31*w**4.\nAnswer: -3*w**2*(w + 2)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 30.5. Let y = -0.8 - n. Which is the second biggest value? (a) 10 (b) y (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 236 + 229 - 2*k - 465. Let f(o) = 4*o + 1. What is f(y(g))?\nAnswer: -8*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**27\/r**(-5\/7)*(r**(-2\/31))**15 assuming r is positive.\nAnswer: r**(5804\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24810 + -124041\/5. Determine n so that h*n + 1\/5*n**2 + 14\/5 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*i + 4 + 1, -5*y = -2*i - 31. Suppose -4*d - b - 5 = -3*d, 4*d = -3*b - 15. Solve -5*c - q = -4*q + 7, d = y*q - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**2 + d + 112. Give v(0).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 3*f**2 - 3*f**2 + 4*f**2. Let w(j) = j. Let c be w(6). Let a(m) = c*m**2 + 7*m - 6*m - m. Determine a(q(n)).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 14*w - 9*w + w**2 - 9*w.\nAnswer: 2*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -408, -568, -728, -888?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3424 and 1788184.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 13*c + 5 = w, -w = -4*c - 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 1, v: 2, w: 2, q: 8, j: 2}. Give prob of sequence wjj.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2730, 10, 0.4, -4 in ascending order.\nAnswer: -2730, -4, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1114 + 5*w + 1114.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133976421.\nAnswer: 3, 53, 157, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -732700?\nAnswer: 732710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/9, -1, -1\/8, 2\/13, -54, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p = -39*p + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -2 (c) 5 (d) -5 (e) -5\/28 (f) 4 (g) 249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**5\/15 + j**4\/4 - j**3\/3 + j**2\/2 - 2. Let t(o) be the second derivative of l(o). Suppose t(x) = 0. Calculate x.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(208))*3 + 5)*-2.\nAnswer: 16 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323207 is divided by 913.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5 + 672*f**4 + 5607*f**3 - 659028*f**2 + 528720*f + 110260800 = 0. What is f?\nAnswer: -31, -13, 20, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 4. Suppose -4*m - 10 = 2*u - 7*u, 3*u - 19 = 5*m. Let r(s) = -4*s**2 + s + 7. What is m*v(w) - 3*r(w)?\nAnswer: 2*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 24, 29, 32, 33, 32, 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) 0 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:03 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, 5, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.1, 5, 0.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/792 and 151\/288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 792419 by -34453.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let k = 5 - 2. Solve -x*i - 3 = -k*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**5 + 95*u**4 + 100*u**3 = 0.\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 8. Suppose -v - 1 = -3*y. What is the second derivative of -2*m - y*m - m**4 + m wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-2 - 2*p + 2)*(0*p**2 - 2*p**2 + 4*p**2).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -420998.33 and -312.\nAnswer: -421310.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1145*x**2 + 2*x + 14719*x**2 + 6*x - 8*x.\nAnswer: 13574*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Let m = u - 1. Solve i + m*i = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let g(a) = 4*a**2 - 2*a - 3. Calculate g(q) + 4*n(q).\nAnswer: 4*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1679003 + 1679135.1867. Let y = r + -132.1007073. Let m = y + -0.086. What is m rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 104. Suppose 2*w = -3*w + o. Let s be (-14)\/(-6) - (-8)\/w. Solve 4*v + s*g = -4, -14 = v + 4*g - 0*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**3\/3 + 80*l**2\/3 + 76*l\/3 + 16\/3.\nAnswer: -(l - 4)*(5*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = 4*w - 6, 0 = 2*w + 3*m - 7. Suppose w*f = 6*f - 272. Suppose -127 - f = -3*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 6, -5*l - 576 = 4*i. Let o be l\/10 - (-4)\/20. Let r = o - -24. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-12 + 6)) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17086 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72811 is divided by 2696.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124*q**3*w + 355*q**3 + q*w + 1 wrt w?\nAnswer: 124*q**3 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let b(o) be the third derivative of -o**4\/8 + o**3\/3 - 3*o**2. Let f be b(r). Calculate the greatest common divisor of f and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -117*l**2 - 3492*l + 550. Calculate k(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, z: 2, j: 1}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*z**6 + 9005*z**5 + 31*z**2 + 29*z + 57.\nAnswer: 1800*z**3 + 540300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*z + 20. Suppose 2*b - 5*l - 23 = 0, -3*b + 2*l = -0 - 7. Sort b, -3, 5, z in descending order.\nAnswer: 5, b, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -f + 752, 8*f - 2221 = 5*f + 2*d. Solve f - 707 = 10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + (0 - 1)*-1. Suppose -7*n - 980 = -9*n. Suppose -7*o + 2*o = -n. Calculate the highest common factor of o and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -20. Let k(r) = -10*r - 75. Let v be k(-8). Let q = 25 + -13. Solve 3*i - t*z = q, -v*z - 7 - 10 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 8*l**2 + l - 6. Is c(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408730016.\nAnswer: 2, 67, 190639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16881981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343330 is divided by 6369?\nAnswer: 5907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.95901 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2813, 5067, 7309, 9533, 11733?\n\"Answer: -o**3 + 2261*o + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*v = -18, u + 4*v + 6 = -0. Let s = -4 - u. Suppose 5*a - 14 = -2*m, 0 = -s*m + 3*a - 4 + 2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31336\/133 or 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*q + 6814 = -7896 - 1790 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 13) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5077 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/((-6)\/(-45))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -106. Let v = 0.133 - -61.867. Let f = r - v. Which is the second smallest value? (a) f (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 - -425.144192424\nAnswer: 431.244192424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 10. Is (4688\/(-64))\/((-1)\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28597 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -102053\nAnswer: 204106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let u(l) = -14*l + 11 - 20*l - 8 + 5*l. What is a(u(h))?\nAnswer: -841*h**2 + 174*h - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6667070, -6667072, -6667074, -6667076, -6667078?\nAnswer: -6667080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*sqrt(176))**2*5 + -5*sqrt(176)*-6 + -1.\nAnswer: -880*sqrt(11) + 22124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/12 and 399\/(-36) + (-9)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:57 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28472577 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.5 (c) 2\/9 (d) -0.1 (e) 0 (f) -293\/54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:16 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 36. Suppose -d*j = -5*g + j - 841, 0 = -g - 2*j - 163. Calculate the common denominator of -73\/128 and 4\/4 - 1\/(-18)*g.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 14*a = 1, 13 = -3*p - 5*a for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p, -2*p = -w - p + 20. Suppose -w = -3*h - 2*h. Suppose 11 = z - 0*z. Solve -z = 2*k - 4*m + 5, h*m = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/7 + -1*1. Let r be (5\/(-15))\/(38\/12). Put r, f, -0.3 in increasing order.\nAnswer: -0.3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110131 - 21003030?\nAnswer: -20232233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 1, x: 5, f: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -47771090 to the nearest 100000.\nAnswer: -47800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l = 821 + 1 + 348 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*m**4 + m**3 + 142 wrt m?\nAnswer: -464*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**2 - 2. Let b = 53 - 51. Let h(r) = 6*r**2 + 5 + 5*r**2 + 10*r**b - 8*r**2. What is -2*h(f) - 5*v(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -586\/5 - -118. Let z = -0.44 + 0.54. What is the nearest to z in m, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 greater than 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2946236*m**4 + 2361047*m**2?\nAnswer: -70709664*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 3*v, -o - 2 = -3*o. Suppose 5*a = b + 27 + 8, a = v*b + 16. Solve 0 = -4*k + a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -380174 (c) 2\/7 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from attyataattyt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*t = -13, t = -p + 4*p - 13. Suppose 0 = -3*v + p*v - 8. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 - 0?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.30499l in millilitres?\nAnswer: 2304.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -73 - (1 + -4 + (-50 - (-67 + 13)))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(2\/5)*z)*z**(-3\/2))\/(z\/((z**(-1\/5)*z)\/z*z)*z)**(-2\/13))**(3\/22))**10 assuming z is positive.\nAnswer: z**(-669\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x + 233. Let a(p) = -6*p - 118. Let y(u) = 5*a(u) + 3*c(u). Calculate y(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/1645)\/(((-2)\/15)\/2*2)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6048949309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-4*-2*sqrt(136) + -2*(sqrt(136)*2 - sqrt(136))))\/(sqrt(1152) - 2*sqrt(1152) - (sqrt(8) + sqrt(8) + sqrt(32)\/sqrt(4)*6)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/1440 + k**5\/80 + 3*k**4\/32 + k**3 + 5. Let v(o) be the third derivative of a(o). Factor v(n).\nAnswer: (n + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 16*f - 1. Let b be h(-3). Is -104 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 397. Let y = 6821 - 6781. Calculate the remainder when m is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15173.\nAnswer: 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((7\/(-168))\/(1072\/(-128)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 23, 0.\nAnswer: -6, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(5950\/(-51))*(-8)\/18?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -207\/4. What is the closest to -2\/5 in j, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 2, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/108*6*(-318087)\/(-2142).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 252*w**2 + 1276*w - 2315. Calculate u(-257).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 2. Let j(f) = 1042 - 2*f - 1042 + f. What is j(k(g))?\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 - ((-10 - 35) + -6 + 6))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)\/(9\/(-18)). Suppose 6*h + 8 = y*h. Is (-24)\/(-9)*(-3)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 + 156*i - 421. Let a be g(36). Let y(n) = -n**3 + 11*n**2 + 10*n - 24. What is y(a)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*d - 57 = 0, 3*d = 10 + 4 - 5 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 6*p - 3090. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 47\/6*j**6 + 0*j**5 + 0*j**3 - 31*j**2 - 2*j - 2 + 0*j**4. Find the second derivative of c(x) wrt x.\nAnswer: 940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1165, 1169, 1173, 1177, 1181, 1185?\n\"Answer: 4*r + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4 + 505*s**3 - 6168*s**2 + 18580*s - 16544 = 0. Calculate s.\nAnswer: -517, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/336 and -71\/361536.\nAnswer: 361536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q + 1)*(6 - 3*q - 6) + (q**2 + q - q)*(164 - 137 - 172).\nAnswer: -139*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 20*p + 66. What is y(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1425*a**2 - 12 + 2851*a**2 - 1427*a**2)*(12 - 12 - 3*a**2) in the form b + z*a + n*a**2 + x*a**3 + i*a**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 12) + 50 + -27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*2*1 - (-5*sqrt(95)*1 - sqrt(95)))*1*-2)\/((-2*(-3*sqrt(125) - sqrt(125)) - sqrt(125)) + (sqrt(125) - 2*sqrt(125))*-1).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47429 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 484577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**3 + 5*x**3 - x**3)*(-1 - 1 + 1) + (3*x - x - x)*(-x**2 + 3*x**2 + 4*x**2) in the form a*x**3 + w + b*x + f*x**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21580 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmh. What is prob of sequence hhmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 3*x, 5*x + 21344 = 3*o + 21347. Let z = 5.12 - 5. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49911*d**4 + 2*d**3 - 102594*d**2 wrt d?\nAnswer: -1197864*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1, 1\/7 in descending order.\nAnswer: 3, 1, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 499, 503, 503, 493, 467?\n\"Answer: -r**3 + 4*r**2 - r + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0*f + 0 - 28\/3*f**3 + 1\/3*f**4 + 196\/3*f**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 16. Let a(k) = 4*k - 2. Let t be a(-4). Let m be g(t). Solve -7*y + m*y = u - 8, 3*y = 5*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(560\/(-200)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/241078 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -0*k - 3*k + 4*d, 5*d - 25 = 0. Suppose -l = 2*j - 8, -5*l + 66 = j + k. Which is greater: 9 or l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 6*o**2 - 3*o + 5. Let m be i(7). Let d be 7\/3 + 22\/m. Solve 3*t - 3*w + 4*w = -14, -13 = d*t + 2*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {x: 1, r: 2, v: 1, i: 3, k: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16693 - 2220202\/133. Calculate the common denominator of g and 18\/1805.\nAnswer: 12635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16100, 16149, 16200, 16253, 16308, 16365, 16424?\n\"Answer: s**2 + 46*s + 16053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 13. Let h be g(0). Let k = 71 - h. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/938 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 6 + -128 - -132.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 1\/9, 2\/3 in decreasing order.\nAnswer: 7, 5, 2\/3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3 + 33349806*j - 33349809*j - 3. Let q(n) = 95*n**2 - 17*n**2 + 59*n**2 - 6*n**2. Determine q(v(b)).\nAnswer: 1179*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiq when three letters picked without replacement from {q: 1, i: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(22)*-2)\/sqrt(11).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/27))\/i**(2\/13)*((i*i*i\/(i\/(i\/((i*i**(-6))\/i))))\/i)\/(i**(-1\/6)*i) assuming i is positive.\nAnswer: i**(5677\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 - 12168*b - 402028\/3.\nAnswer: 4*(b - 9137)*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/109 in -0.2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-16) - 56\/(-448)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d + 1087 - 430 = -1317 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -18. Let s(x) = -x**3 - 10*x**2 - 9*x + 10. Let b be s(t). Let r be (-5)\/(b\/(-8))*-1. Is r at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21787*o - 87153. What is x(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36236 (base 10) to base 16.\nAnswer: -8d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -105946009?\nAnswer: -8\/105946009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a factor of 12299520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 22 - (191 - 212)) + 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 64526?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l - 4. Calculate w(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-48))\/(5\/(-60)). Solve -6*o + s*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6762528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -820, -1806, -3146, -4816, -6792, -9050, -11566?\nAnswer: -14316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 14 = 3*v, b + 3*v = 5*v - 3. Let p(k) = -21*k**3 + k**2. Determine p(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3416 (base 8) in base 9?\nAnswer: -2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/13))**(-1\/24)\/(d*d**(1\/35)*d*d*(d*d\/d**22)\/d) assuming d is positive.\nAnswer: d**(24461\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168435898474052 + 0.3.\nAnswer: 168435898474052.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(7\/(-2) + 4). Suppose -4*p - 6 = -5*f, 0*p - 5*f + 15 = o*p. What is the greatest common divisor of p and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.328082ml to litres.\nAnswer: 0.009328082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -6 + 11 + 4 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:23 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.721 + 5.221. Which is the fourth biggest value? (a) t (b) -0.2 (c) 25\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {c: 2, o: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 20. Suppose w*c + 3*c - 20 = -z, 3*c = z - 2. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1 (b) -2\/7 (c) -3\/7 (d) -2\/9 (e) -0.152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4607 - -4626.91. Let d = m - 20. Let p = -0.01 + d. Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 717 + -1357. Round s to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/15)\/(419\/2095)*((-128)\/(-14))\/(-2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598205406 a multiple of 1434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -17. What is the nearest to -1\/5 in w, 0.3, 5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6915.584 millimeters in kilometers?\nAnswer: 0.006915584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1236, -11778, -10 in increasing order.\nAnswer: -11778, -1236, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - 0 - (-4 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3046)\/((-2)\/6 + 24\/(-36)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n. Let v(k) = -10*k - 7. Let i(t) = 3*t + 2. Let q(f) = -7*i(f) - 2*v(f). What is l(q(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315168 and 3724?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + q + 35, -q + 3 = 4*o - 26. Solve -10 = -o*f + 6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19374418 is divided by 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, 9, 15.\nAnswer: -5, -2, 0, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 41 + 24. Solve 5*d = r*a - 3*a, -a = 5*d - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 y when four letters picked without replacement from iylayaaaz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 34*b**2 - 13*b. Give d(-10).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98439 + -21.\nAnswer: -98460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4143365132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s - 7. Let y(r) = -5*r - 3. Let z(n) = -3*p(n) + 7*y(n). Let m = 22 + -19. Let w(a) = -m*a - 2*a + a. Give w(z(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 = p - 0*p, 2*m + 4*p = 36. Let o be (5\/3)\/((-2)\/(-24)). What is the derivative of 0*w - m + 5*w + o wrt w?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 6*s**2 - 8*s.\nAnswer: 2*s*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231895 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 169. What is the highest common factor of l and 342?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 109. What is the biggest value in -4, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 10*f - 4. Let u be c(5). Is u equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2320 and 6151480?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122648 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1603*f**5 - f**2 - 116 wrt f.\nAnswer: -96180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -73 + 8*m - 43 + 10 + 12*m. List the prime factors of b(20).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 7*i - 40 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d7 - 0?\nAnswer: 2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 521623035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74578, -148884, -223186, -297484, -371778, -446068?\nAnswer: -520354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661923781 to the nearest integer?\nAnswer: 25728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 180496*k + 2036175376.\nAnswer: 4*(k + 22562)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-26 - (7 + (20 - 161))).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111.487 + -3.113. What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(12\/(-105)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 1:41 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165793 is divided by 434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*s + 8717 = -246*s. Let l(u) = u**2 + 23*u - 67. Calculate l(s).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -16*v + 186 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39554.\nAnswer: 2, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**5\/5 - n**4\/12 + 2*n**3\/3 + n**2\/2 - 6*n + 5. Let g(l) be the first derivative of x(l). Factor g(w).\nAnswer: -(w - 1)*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 579 = 5*q, 48*n - 3 = 45*n. What is the greatest common factor of q and 5359?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:58 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1078 - -404. Let t = n + 220. Round t to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7390, -28088, -62586, -110884, -172982, -248880?\n\"Answer: -6900*i**2 + 2*i - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205537690 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 9. Let b be 0 - (-2 + n + -3). Find the third derivative of -2*t**2 + 4*t**4 - 8*t**b - t**2 + 5*t**2 wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -13*p**4\/4 + 5*p**3\/3 - 5*p - 155. Let s(g) = 20*g**3 - 7*g**2 + 7. Calculate -7*d(u) - 5*s(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from jvjvvcvjjjj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3020, -6041, -9062?\nAnswer: -12083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -15. Let u be (6 - (-32)\/(-12))\/(1\/3). Let s be (-4 - -1) + (u - (0 - -3)). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 82 + 153 = 3*b, -2*o = -b + 82. Is -4555*(-4*(-68)\/b - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737988 divided by -61499\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 7. Let v = -16 - -18. Which is the third biggest value? (a) 0.1 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*w = -175*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 4*a + 6. Let c(x) = x**2 - 5*x. What is the remainder when p(-3) is divided by c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 4*r**2 - 2*r - 1. Let o be m(2). Suppose 3*v - o*h = 0, -3*v - h = -3*h - 3. Suppose p - 4160 = -v*p. What is p rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*k - 68 + 86, g = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*y + 5*o, 2*o = y + 2*y - 32. Let r be (y\/25)\/((-8)\/(-20)). What is the highest common factor of 9 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43481628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 52556.0616 nanoseconds?\nAnswer: 0.00000000008689825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-635)\/381)\/((-1575)\/1215).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 105\/14*(-16)\/(-5). Let n be 0 - (14733\/j - 2). Let t = 610 + n. What is the common denominator of t and -127\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7453136nm in kilometers?\nAnswer: 0.0000000000007453136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 21 - -17 - (1 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + -31 + (-10 - -65)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 10*a**2 - 3*a + 66. Let d be o(-9). Solve -2*x + 24 = 4*l, l = -3*l + 4*x + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006403099 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 552223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.76 - -49. Let x = 2.26 + k. Let v = -6.93 - -7. What is the biggest value in v, x, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 114. Let g(n) = -7*n + 1. Let f be g(1). Let s(w) = -w**3 - 7*w**2 - 8*w + 6. Calculate the smallest common multiple of s(f) and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 117\/9)*(4 - 9 - -10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 5. What is d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 3*y, -4*r + 5 = -5*y - 2. Suppose k = 2*k + r. Let z(l) = l**3 + 33*l**2 + 115*l - 28. Let p be z(-29). Sort 4, k, p in decreasing order.\nAnswer: 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 25*c + 3. Let u(n) = -3*n**2 + 38*n + 4. Give -7*b(y) + 5*u(y).\nAnswer: -y**2 + 15*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 1. Let v be c(1). Suppose g = v*g - 6. Suppose -3*d + 13 = 4. Solve 4*q = d*f + 1 + 1, -2*q + f = -g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690*-832.\nAnswer: -574080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229519 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Suppose -g = 2*g - 15, -5*t + 55 = 2*g. Suppose 0 = 4*h - t*h. Solve h*z - u*z = -3*w + 17, 4*z = -16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3*b - b + 2*b + (27*b - 3*b - 5*b)*(-2 - 1 + 2)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**9\/15120 + v**8\/1680 + v**7\/504 + v**6\/360 + v**4\/6 + 20*v**2. Let d(q) be the second derivative of u(q). Factor d(h).\nAnswer: h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -10370?\nAnswer: -51850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2) + 4\/(-2). Let x be -1 + (-1 - c) + -2. Let a(o) = o**2 + 5*o + 6. Calculate a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 14*z + 3*v = 46, -v - 18 = -2*z. Solve -14*x + z*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5380324 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**3 - j**3 - 3*j**3)*(-4*j**2 - 19 + 19) - 2*j**5 + 0*j**2 + 0*j**2 - 2*j**4 + 2*j**5 + 2*j**4.\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h - 84108537 = -104*h - 32895747. What is h rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 787363620 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 2 + 0*l + 1. Let m(q) = 5*q - 8. Give 4*m(u) + 11*y(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**17)**(-48)\/((p*p**(-5))\/((p**(-25)\/p)\/p)))**(2\/73) assuming p is positive.\nAnswer: p**(-1678\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.757 - -2.6. What is k rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 23 + 3. Let k = 32 - 32.2. Let q = k + 0.1. What is the nearest to 2 in s, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153 + 85 + 3*w**2 + 101 to the form n + k*w**2 + q*w and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 11:16 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -375*p**3 - 26*p**2 - 25*p. Calculate g(-1).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -38*o - 263. Let l be v(-7). Solve -h + l*h = -7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.089 (c) -3\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 6. Let v be h(-2). Suppose 5*t = -c + 3*c + 82, 0 = 2*t + v*c - 30. Let f = t - 8. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 1286789.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 748, 1258?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.63962 - 0.13962. What is the nearest to 2\/3 in 42, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 + -8)\/((-6)\/(-4)). Let s(x) = -2*x + 12. Calculate s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**2 + 35*k - 5. Let d(r) = 15*r**2 - 73*r + 12. Let w(x) = 4*d(x) + 9*h(x). Give w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -327. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 40 - 38 + (1 + 1 - 3)*(-1 - 5 + 4) + 2 - 4 + 4 + (-1 + 6 - 4)*(1 - 5 + 2) + 1 - 4 + 2 - 4 + 1 + 2)*(-3*d - 5*d + d)*(-2*d**3 - 4*d**4 + 2*d**3).\nAnswer: -840*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3 - 5*x + 3*x + 5*x + x. Let c be b(5). Suppose 15*v - c*v + 102 = 0. Calculate the greatest common factor of 34 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*b**3 - 59 + 103*b**3 + 67*b**3 with respect to b.\nAnswer: 762*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22148 is divided by 1036.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5671416 and 7.3.\nAnswer: -41401336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1438 + 1410 + 11 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1421 - 7)*(-3)\/(-2)?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 458*c**2 + 2 + 3.\nAnswer: 458*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2828 by 4.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 253506661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -292649 from -0.2478.\nAnswer: 292648.7522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 283933?\nAnswer: 11\/283933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/20? (a) 2.7 (b) 0 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -214*j + 2783. Determine n(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 0*a - a + 42.\nAnswer: -a + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -28?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -45?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-4)\/(-6) + -4. Factor 2\/9*m + 4\/9 + 2\/9*m**4 - 2\/9*m**3 - n*m**2.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 8*h - 8. Let f(c) = -c**3 - 5*c**2 + 7*c - 2. Let k be f(-6). Let x(w) = -2*w - 9. Let z be x(k). Calculate m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 2. Suppose -f*i + 0 = b - 4, 5*b - 3*i + 3 = 0. Let d(k) = -53*k - 262. Let x be d(-5). Solve b*z = x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 800 = 5*m - 5*z, 5*m + z - 824 = 0. Suppose 3*n - 4*l = 155 - 52, -15 = -3*l. What is the highest common divisor of n and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/(m\/(m\/((m\/(((m**4\/m)\/m)\/m))\/m))))**(-6\/13)\/((m*((m*m*m**(3\/7))\/m)\/m*m*m*m**(-1\/5)*m)\/((m**(-1)\/m)\/m)**(-21\/2)) assuming m is positive.\nAnswer: m**(1909\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2855 (base 9) to base 3\nAnswer: 2221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1159146, -2318359, -3477572, -4636785, -5795998?\n\"Answer: -1159213*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53.3 - 53. Let i be (-4)\/35*(-15)\/6. What is the biggest value in k, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -z - 5*i, 2*z + 4 = -0*z + 3*i. Let l = 42 - 2144\/51. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-13\/4))*k\/k**(-34)*k)\/((k\/k**(-2\/3))\/k**(-3\/14)))**47 assuming k is positive.\nAnswer: k**(121871\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61928 minus 22759?\nAnswer: 39169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.43842 centuries to years.\nAnswer: 3043.842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -960*o + 7286. Determine w(8).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11620\/(-322) + 36 + (-150)\/(-1196)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -1*sqrt(70)*1 + sqrt(70) + -3*(sqrt(70) + -3*sqrt(70)))*-3)\/((sqrt(60) + sqrt(240)\/sqrt(4)*-3)\/(2*sqrt(216) + sqrt(6))).\nAnswer: 273*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16209 + 17812. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23592614*b**3*i**3 - 2*b**3*i**2 + 2*b**3*i + 2*b**3 + 18372*b*i**2 - 35*b*i wrt i?\nAnswer: 141555684*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8157 + -1940. Which is greater: v or -10095?\nAnswer: -10095","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 22*a - 23. Suppose 4*l - 80 = 3*i, -3*i - 1 - 45 = -2*l. What is the remainder when s(2) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2 + -3 + 0). Let k(q) = 106*q - 1. Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149184 and 14818944.\nAnswer: 44456832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3 - 2) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 6. Let j be (4\/(-2))\/((-2)\/(-4)). Let d(c) = 1. Let t(y) = -y - 11. Let r be ((-10)\/4)\/(7\/28). Let s be t(r). Calculate j*d(m) + s*n(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*v = -218*v - 1314. Find the second derivative of b**3 - 1 - 2 + v*b + 5 - 96*b**2 - 2 wrt b.\nAnswer: 6*b - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v = -23*v + 44 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12320\/672 + 3 + -18.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -51*y**2 + 2*y - 2. Let m(d) = 6731*d**2 - 265*d + 265. Give 265*c(p) + 2*m(p).\nAnswer: -53*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 85?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3.5\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -1000011000?\nAnswer: 1000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -1 + (2 + 68 - (-278 - -333)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 409136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*b + 163, -5*b = 4*w - 931 + 294. Is 161 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/23 or -454?\nAnswer: 16\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 less than -1138938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*2)\/(sqrt(288) + -1*sqrt(288) - sqrt(2) - sqrt(2)) + ((sqrt(18) - sqrt(162))*-2)\/sqrt(6) + 0)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 14) in base 16?\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)*5\/10. Suppose l = u + 3 - 7. Suppose 3*y + 0*i = 4*i - 14, 26 = 3*y + u*i. Calculate the remainder when 5 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 21*a + 1. Let o(k) = 42*k + 2. What is -4*o(s) + 9*x(s)?\nAnswer: 21*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18690575 rounded to the nearest ten thousand?\nAnswer: -18690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 374086416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*l**5 + l**4 + 7*l**3 + 18573*l**2 - l + 216?\nAnswer: -16620*l**2 + 24*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3, 5, -40, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.2 + 13. Let c = -1.2 - l. Which is smaller: c or 38?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15712840421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161673 * 118.\nAnswer: -19077414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -7. Sort w, 1, 0 in increasing order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l - 602 = 7*l + 894. Solve 3*q + 4 = r, 32*r + 4*q + 4 = l*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-19)*y\/(y\/(y**(6\/11)\/y))*y assuming y is positive.\nAnswer: y**(-203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3064610 (base 7) in base 6?\nAnswer: -11524242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -49 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 8*s - 65. Let d be k(19). Find the common denominator of -2 + 2\/d*(-1324)\/(-5) and -31\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(612) + -2 + sqrt(612))**2 + (-6*sqrt(612)*-4)**2 + 3.\nAnswer: -48*sqrt(17) + 354968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2026 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.3278 nanograms in kilograms?\nAnswer: 0.0000000000533278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:53 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 576 + 704 = 4*h, h + 525 = 2*d. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1156 - 561. Suppose -429 - v = -8*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t + 1. Suppose 3*j = 4*j + 1. Let c(g) = 10*g**2 - g - 9. Let z(v) = j*a(v) - c(v). What is the derivative of z(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/456 in 5\/12, 0, -0.4, 0.081?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*y - 3733*y**2 + 14*y + 13*y + 9*y + 13*y + 894 wrt y.\nAnswer: -7466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 1088*t + 10812 = -129*t + 30332 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -10*s - 0*u + u, -30*s + 32*s - 4*u = 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1 + q**2 - 2*q + 0 - 4. What is the units digit of s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = -5. Suppose -u + 22 = -4*d, 2*u - 5*d - 14 = k*u. Suppose -u*s + 63 = -3*s. What is the highest common factor of s and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:21 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -386591\/10 + 38659. Sort -0.2, 0.3, 541, a, -0.3 in decreasing order.\nAnswer: 541, 0.3, a, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24f + 5?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335601, 671153, 1006659, 1342119, 1677533?\nAnswer: 2012901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. Let y = 16.9 + -17. Put -2, y, f in ascending order.\nAnswer: -2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5882 divided by 3?\nAnswer: 5882\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2298 + -58?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -129*p**2 + 247*p + 1. What is y(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 122?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y**2. Let t(q) = 28541*q. Give k(t(p)).\nAnswer: -12218830215*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 + -118. Let o be (-6 - -2 - -2)\/(3\/c). Is -47\/7 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 19770?\nAnswer: 2\/3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/147 and -4\/5145?\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:07 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 at most as big as 3190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -160212*d - 2563390. Give p(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47850 and 4965?\nAnswer: 15838350","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/10)\/(q**(1\/2)*q))**42*(((q**(-1)*q)\/q)**(1\/35))**12 assuming q is positive.\nAnswer: q**(-414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993637 is divided by 896.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -149.063. Let b = k - 1.063. Is b < 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -10415303512?\nAnswer: -10415303512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1 - -45) + -4 + 6 + 9 + -25.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:46 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003844 to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {k: 2, v: 4, h: 3, p: 3, l: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 + 241. Let o(j) = -2*j**2 + 13*j - 3. Let s be o(9). Let h = s + n. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 2. Let i(u) = 9*u**2 + 41*u + 13. Calculate the remainder when 1\/3 - 148\/a is divided by i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18876 and 6864.\nAnswer: 75504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -139. Put k, -3, 5, -2 in ascending order.\nAnswer: -3, -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 15*n + 11. Suppose -2*s = -3*x + 54, -x + 5*s - 40 = -6*x. Give r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, -224, 6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 114*z - 720.\nAnswer: -3*(z + 8)*(z + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 837 and 69?\nAnswer: 19251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + -1 - -5 - (1 - 5)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = g - 0, -5*o + 3*g = -10. Solve -3*t + 2 = -7*t - o*h, t + 3*h - 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -21 + 68 + 5 + (-3 - 3) - 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6213*k*y**5 - 7*k*y**3 - k*y**2 - 278*k - 12*y - 2 wrt y.\nAnswer: -372780*k*y**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/9 + 340*s**4\/9 + 328*s**3\/3 - 2996*s**2\/9 + 1670*s\/9 = 0. Calculate s.\nAnswer: -167, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15646 = -32*q - 3806. Let w = q - 301. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -1\/10*d**4 + 34\/5*d**3 + 7*d**2 - 34\/5*d - 69\/10 = 0.\nAnswer: -1, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1948*y**3 + 54 + 2*y - 2*y**4 + 2*y**2 + 1948*y**3 as q*y**2 + s + l*y + v*y**3 + t*y**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -776 + 2*x + 776. Let h(z) = -681*z. Calculate r(h(q)).\nAnswer: -1362*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*-45*(-14)\/1386\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**7\/1260 + p**6\/720 - p**5\/120 - p**4\/4 + 4*p. Let u(a) be the third derivative of g(a). Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 1120\/12. Suppose 0 = d, 3*o + d = -0*o - p. Let s = o - -46. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 20, 2*z - 20 = -2*x - 0*x. Suppose -24*w = -x*w - 81. Calculate the remainder when 49 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 33*t - 7. Let z(i) = -i**2 - 22*i - 5. Give -5*m(q) + 8*z(q).\nAnswer: 2*q**2 - 11*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from nnw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -1329\/7, 1\/4 in increasing order.\nAnswer: -1329\/7, -0.3, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911\/9 - (-4)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40677 divided by 901?\nAnswer: -40677\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -958, -2235, -4032, -6349?\nAnswer: -9186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 5*h + 4 + 49, 2*k = -2*h - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 6*z - 3. Let u(m) = m**3 + 8*m**2 - 8*m + 4. Let v be u(-9). Let h be d(v). Solve 6 = n + h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123.999 * -107\nAnswer: -13267.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**4\/24 - 5*v**3\/6 + 2*v**2. Let q be c(0). Let t(h) = -h**3 - 4*h**2 + 3*h + 1. List the prime factors of t(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103 + -12113?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1952\/960*(5\/(-2) - -1) and 85\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/24 - 2*f**3\/9 - f**2\/4 + 97*f. Factor l(j).\nAnswer: (j - 3)*(3*j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 7*z = 5*d - 22, 0 = -4*d + 4*z + 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -836 or -40103\/48?\nAnswer: -40103\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -30*j + 234136. Suppose -3*y + 8366 = m, -3*y - 3*m + j = 2*m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 + 4*f**2 - 9*f - 16. Let d(x) = -2*x**3 + 2*x**2 - 5*x - 8. What is -5*d(w) + 3*h(w)?\nAnswer: w**3 + 2*w**2 - 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**40*(y**1)**(-50) assuming y is positive.\nAnswer: y**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*d + 381*d = -1296. Suppose d = -20*y + 26*y. Suppose -o - 2*q = -4*q, 3*o = 2*q + 4. Calculate the smallest common multiple of y and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, a: 4}. What is prob of sequence aa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Calculate the remainder when (-6)\/(-15) + 78\/t is divided by (-2)\/(-9) - (-158)\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2 + 16559*z - 9 - 16557*z. Give n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.984 - 0.984. Which is the biggest value? (a) z (b) -190 (c) 2\/15 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 14*x**2 - x + 17. Let c be u(14). Suppose n = 8 - c. Suppose 0 = n*g + 6*g - 1859. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**3 - 208438*k**2 + 101*k - 53026690?\nAnswer: 9*k**2 - 416876*k + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -92.4. What is the nearest to 0.1 in -1, -26, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/3)\/s**(2\/5)*(s**(1\/3))**26*s**(-2\/9)*s*s*s**0*s*(s\/(s**(-2\/5)*s))\/(s\/(s**(-5)\/s)) assuming s is positive.\nAnswer: s**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77642361 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - l - 5*c, 3*l - 2*c = 2. Suppose 5*n = 3*u + l*n, 0 = -4*u - 4*n + 24. Suppose 2*w = w + 6. Solve -u*y - 2*d = -3, w*y + 4*d = y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/((-12)\/(-18)). Let l be ((-1)\/2)\/(s\/(-24)). Let d be l\/6 + 1\/(-1). Solve 0 = -4*b - a + 15, -d = -b - a - 2*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -361666 greater than or equal to -361667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4188*h**3 - 2094*h**3 - 2090*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -21, -44, -81, -138?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4273 - 3572 + 3*k - 701.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 2 - 2 + (4 - 1 - 5)*(3*m + 0*m - m) + 2 - 2 - 2*m + (-4 + 0 + 6)*(-2*m + 0*m + 0*m) - m - 3*m + 5*m + 4*m - m - 2*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 11, -6, 16 in decreasing order.\nAnswer: 16, 11, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/23, -1, 0, -5, -234\/11, -3\/4?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i. Let c(k) = -2*k**2 - 7*k. Suppose 22*w - 14*w = 32. Let o(n) = w*c(n) + 12*h(n). What is the second derivative of o(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 326, 2243, 5424, 9869?\n\"Answer: 632*j**2 + 21*j - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (30\/(-20))\/((-3)\/42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/3 - 552*v**4 - 81032*v**3 + 501052*v**2\/3 + 407346*v - 492780 = 0?\nAnswer: -129, -2, 1, 3, 955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-207))\/(14*(-2)\/8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 309 - 622 + 2*y**2 + 30*y + 323 - y**2 as i*y**2 + m + n*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1153, -1456, -907, 500, 2771, 5912, 9929, 14828?\n\"Answer: z**3 + 420*z**2 - 1570*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 49, 81, 121, 169, 225, 289?\n\"Answer: 4*u**2 + 12*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0, 2\/61, -0.2, -111.99, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1487784 divided by 1487784.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8089, -9850, -12849, -17086, -22561, -29274?\nAnswer: -37225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 21 - 44 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -176*p + 170*p. Let k be -4*(1*-3)\/6. Let j(r) = 8*r - 1. Let f be j(k). Calculate the highest common factor of f and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30\/37 - -277\/296. Which is the smallest value? (a) o (b) -2\/9 (c) 0.5 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {y: 13, v: 3, w: 3}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -4, -1, -8, -5.\nAnswer: -35, -8, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2. Let r(p) = 22*p + 10. Let c(z) = 7*z + 3. Let a(k) = 10*c(k) - 3*r(k). What is a(l(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose 0*m + 3*m = -z + 8, 10 = u*z. Let n be (-1)\/m - (-1 - 2). Is n at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2340 and 173\/1200?\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q**2 + 37*q - 10. What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024 is divided by 2546?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let x(h) = -16*h - 29888 + 29888 + 3*h - 6*h. Calculate x(m(p)).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q - 51*q + 1 - 11*q + 23*q.\nAnswer: -74*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-772)\/(-22) + (-52)\/572. Is 6 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t + 4. Let v be w(-3). Let d(s) = -s + 2. Let q be d(3). Let f = q - v. What is the closest to f in -5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2111*i + 344*i = -51243 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.65 - -0.65. What is the nearest to -1 in 14, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7881, -7874, -7855, -7818, -7757?\nAnswer: -7666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2142102402 (base 5) to base 16\nAnswer: -46dd06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150898 and 4732710.\nAnswer: 52059810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1623276g?\nAnswer: 162.3276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2164729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*g + 27 = 0, 24 = -4*p - 3*g - g. What is the units digit of 0 - (-4 + p + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-28764)\/408*(-3)\/(783\/2) and -101\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r**3 + 4*r**2 - 22\/3*r + 4.\nAnswer: -2*(r - 3)*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 8, p: 2, o: 5}. What is prob of picking 1 x and 1 p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 13*t**2 - 1858*t + 3718. Let q be c(2). Solve -14*f - 58 = q for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by 152.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, o: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f + 2. Let u be a(-2). Let q be 4\/u + 19\/6. Suppose 2*j = -j + q. Let y(x) = -12*x**3 - 2*x**2 + x. Give y(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0.02057?\nAnswer: 1.02057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 655*i**4 - 3*i**2 + 715*i**4 - 872*i**4 - 1299*i wrt i?\nAnswer: 5976*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 1. Let y be b(0). Let u(r) = -3*r**2 - 9*r**2 + 19*r**2 + r. Let w be u(y). Let h(l) = l**2 - 6*l + 6. Determine h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 79220.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497451, 994531, 1491611?\nAnswer: 1988691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((17408\/456)\/(-8) - 2\/(-19))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 21.\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(44) - (sqrt(1100) - sqrt(44))).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*f*k**3 + 5*f*k - 5*k**4 + 43*k**3 - 45*k + 1 wrt k.\nAnswer: -174*f*k - 60*k**2 + 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6885 - ((-11)\/1 - (-24 - -21))?\nAnswer: 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 0 + 1\/2*r + 5\/4*r**2 + 1\/4*r**4 + r**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12503 - 3917. What is l rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 3*o**2 - 5 + 2 - 4*o**2 + 2*o**2. Let w be g(-3). Suppose 2*z + z - 573 = w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-6))\/((-2)\/(-9)). What is the remainder when -274*(-2)\/b*3 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1910, 59099.\nAnswer: 0, 1910, 59099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 705.019208 - 705. What is w rounded to four decimal places?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-2)\/(-8)*15. What is the third smallest value in -5, b, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063765227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 0 - (-9)\/(-3). Suppose 0*x - 77 = -m*z - x, 4*z - 5*x = 71. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(2*sqrt(6) - sqrt(6)))**2 + 0 + sqrt(605).\nAnswer: 5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01192904923 to five decimal places.\nAnswer: -0.01193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262696.94769906 + -262668.9477. Let r = 98 - 70. Let c = v - r. What is c rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 7*a - 3*a)*(0 + 0 + a**2) + 2*a**3 - 2*a**3 + 3*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-55)\/(-20))\/(1\/4). Suppose -5*i + g = -44. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34837732651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 95?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 435, 862, 1471, 2268, 3259, 4450, 5847?\nAnswer: 7456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -111. Which is the nearest to o? (a) 3 (b) -2.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*p + 4*u = -128*p + 33, 0 = 5*u - 15. Find the common denominator of 9\/110 and p + 844\/80 - 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) - 1*sqrt(1800))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + t - 12. Let h be a(-4). Let q(g) be the second derivative of -1\/4*g**4 - 1\/2*g**2 + h - 2*g + 0*g**3. Find the first derivative of q(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -668*-4\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/6 + 2*i**2 + 21217*i. Let p(k) be the second derivative of -k**3\/6 + 2*k. What is p(y(w))?\nAnswer: -2*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-70) + (-32)\/(-14). Solve -3*h - 19 = -4*j - 4, 3*h - 3 = -r*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - r - 2*r = 0, t - 5 = 2*r. Let s = -0.2 - 0. Which is the closest to -2\/5? (a) -2\/3 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904834291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -303086?\nAnswer: 303102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.749 decades in months?\nAnswer: 21569.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 410, 409, 408, 407, 406, 405?\n\"Answer: -z + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -3737\nAnswer: 3737.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u - z, 2*u + 7*z + 4 = 3*z. Let d(k) = 1 + u + 0. Let p(m) = -m. Let h(b) = 2*d(b) - p(b). Differentiate h(i) with respect to i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w - 1\/12*w**5 + 0*w**4 + 0*w**3 - 4*w**2 + 0. Let y(g) = g. Give d(y(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15.4 times -0.2\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*a**2 - 68*a**2 + 1 - 5*a - 1 - 8 + 471*a**2.\nAnswer: 666*a**2 - 5*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 5480\/(-1525)*-5.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 11*x + 4. Let h be y(11). Suppose 0 = -4*f + h + 8. Suppose f*w - 13 = -4. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1)*j*j)**6)**47 assuming j is positive.\nAnswer: j**1128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(6*sqrt(209)*1)\/((sqrt(55) + sqrt(1375))\/sqrt(5) + sqrt(11)).\nAnswer: -1 + 30*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -21.6. Suppose 0*x + x = 4. Let f = -4 + 5. Which is the third smallest value? (a) q (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 13 = q. What is the tens digit of q*13 + -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110310 (base 7) to base 14.\nAnswer: 70b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1225 - -1273. Solve -11*x = 70 - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1497 - 1339. What is the remainder when r is divided by 147?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 285815949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 200*n**3 - 15*n**3.\nAnswer: -221*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-187) + (3 - 1248\/(-132)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/3 - 5*p**3\/3 + 110*p**2 - 940*p\/3 + 616\/3 = 0.\nAnswer: -22, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 180075 divided by 5?\nAnswer: 36015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11321735729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.3 + 13. Which is the third smallest value? (a) -1 (b) -6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-6 - (-13 + 5)). Which is the nearest to -1\/3? (a) 7\/5 (b) -0.2 (c) -2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1099949277729 and 0.21?\nAnswer: 1099949277728.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3796210377.\nAnswer: 3, 41, 61, 191, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3166533427 to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33230336.999954 - -33230388. Let d = 51 - j. Round d to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 52, 123, 222, 349?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6f + -1a323?\nAnswer: -198b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/((2 + 0)\/(-1)). Suppose 7*y**v - y**4 - 4*y**2 - 2*y - 5*y**5 + 5*y**4 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6090 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 31*q**2 - 35*q - 107. Let l be f(32). Let z = l - -719. List the prime factors of z.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 946062023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36667828 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 17*v + 2*o + 60 = 0, 3*v + 23 = 4*o. Let n be -1 + (2 - 0) + -4. Sort 1, n, v.\nAnswer: v, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.00087922 less than 54722?\nAnswer: 54725.00087922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.444 - -11.440862. What is q rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*s - 17098790*c**2 - 9897533*s wrt s?\nAnswer: 2*c**2 - 9897533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + j**3 + 2*j - 5 - 4 in the form u*j + d*j**2 + t*j**3 + m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -92, -371, -650, -929?\n\"Answer: -279*v + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -8875a?\nAnswer: 88759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 10 + 10. Let k = z - -25. What is the remainder when 59 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5040198 and 453.\nAnswer: 761069898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - 2*a. Let z be s(2). Suppose z = -l - 4 - 0. Let g(p) = p**2 + p - 4. What is g(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(sqrt(76) - -4*sqrt(76))*3)\/(-5*sqrt(324) + (sqrt(144)*-3 + sqrt(4) - sqrt(4))).\nAnswer: -5*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Let u(m) = 5*m**2 - m**2 - 3*m**2. Determine u(x(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzlllrqvqrrqqvltqqrq. Give prob of sequence lvl.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 36 = -2*m, -4*m = d - 63. Let z = m + -11. Let w(a) = -z*a**2 + 6*a**2 - 7*a**2. Let f(c) = 2*c. Determine w(f(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 2. Let t be (-6)\/v + 46\/10. What is the third derivative of 5*o**5 - t*o**5 - o**6 - o**2 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8205 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89588 - -89588. Let n be 1\/2 - 17\/36. Is n at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-23)\/o)\/(o*o*o**(-38)) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 153*z**4 - 134.\nAnswer: 612*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2752204382?\nAnswer: 2, 71, 521, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 3*u - 4*i, 3*i - 64 = -u - 4. Solve 0 = 23*b - u + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311880449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.728538 from -0.47.\nAnswer: -3.198538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 8, p: 1, m: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l - 2. Let h(d) = 3*d**3 + 3*d**2 - 2*d**3 - 3 + 0. Let f be h(-3). Let b be m(f). Solve -5*i + 3*c - 29 = 0, 0*c + b = 2*i + 3*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-170100)\/(-125) + (-2)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2, -2\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + t + 2*t = 39, -g = 3*t - 21. Let j(p) = -p**2 - 1. Let q(i) = -4*i**2 - 4*i - 7. Let o(y) = 5*j(y) - q(y). What is o(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(63\/(-7))*-3*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3 - 5\/12*d**4 - 7\/6*d**2 + 1\/15*d**5 + 2\/3*d - 3. Determine s, given that z(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321, 643, 965, 1287, 1609, 1931?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = -4*h, -34*h + 5*z = -32*h - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 10*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**5 + 4*f**2 + 4*f**5 - 18*f**5 + 0*f**2 wrt f.\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2015700 divided by -6719?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = u - 4, -5*o - u + 10 = -6*u. Let q = -790 - -789. Put q, 3\/2, -0.4, o in descending order.\nAnswer: 3\/2, -0.4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47\/4 - -157\/12. Let r(d) = -d. Let t be r(5). What is the nearest to -2\/7 in t, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 3*o**2 + 5*o + 1. Let v be p(-4). Let l = 355360 + -355359.7. What is the smallest value in -0.5, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13689 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2004 by -3140.\nAnswer: -501\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 37645*w - 4 + 37323*w.\nAnswer: -322*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11110 + 20454. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*147\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.08 + 61. What is the smallest value in 0.2, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 216\/(-110) - 0. Suppose -5*j + 5 = -4*j, 4*g - 4*j = -36. Let n be (-188)\/47 - 2*(2 + g). Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -140, -131, -132, -149, -188, -255?\n\"Answer: -s**3 + s**2 + 13*s - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/6 - s. Let g(a) be the first derivative of 3*a**3 - 10 - 12 + 21. Calculate b(g(r)).\nAnswer: 162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7)*(-31 + 1043942\/(-29)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 25. Let l(z) = 2*z - 12. Let f = -8125 + 8120. What is f*l(m) - 3*y(m)?\nAnswer: -m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/3 + 4\/(-6). Let a(r) = 5 - 4*r**3 + 5*r**3 - r - 4. Let c(m) = 5*m**3 - 6*m**2 - 11*m + 9. Let j(t) = 6*a(t) - c(t). Determine j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-4))\/(o**(3\/4)*o)*(o*o*o**(-1\/2)\/o)**(2\/3))\/(((o**(2\/9)\/o)\/(o\/(o*o**(-5)*o)))\/(o**(-1)*o)**(-3\/19)) assuming o is positive.\nAnswer: o**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/28 and 137\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11060491589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 5*g + 2*g)*(-111 - 613 - 58) + 0*g + 3*g - g to the form r*g + q and give r.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47619362 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 2*f - 1. Let a be z(2). Solve -a*g - 25 = -6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -71 + 366*s - 5 - 559*s + 13. Let n be h(-12). Suppose -5*b - 598 = -n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 967687 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p**2 - 4*p**2 - 3 + p**2 + 3 + (4 + 2*p - 4)*(-2*p + p - p) + p**2 + p - p - 3*p**2 + 2*p**2 + 6*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/7 + -9\/35. Let u = -1\/18 + 11\/36. Which is the nearest to u? (a) -4 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*(0 + sqrt(2299))**2 - -5*(sqrt(2299) + 1*sqrt(2299))) + 0 + (1*sqrt(2299)*6 + 3)**2).\nAnswer: 506*sqrt(19) + 71278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33274 (base 8) to base 6\nAnswer: 144512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-252)\/(-16) - (-2)\/(32\/(-12)). Suppose -18 = -21*m + u*m. Sort -3, -0.2, m, 1\/9 in descending order.\nAnswer: m, 1\/9, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 2*k + 37. Let t be g(-7). Let u be 5 + 23\/(-5) + t\/(-10). Solve 0 = h - 4*n + n - 11, -u*n = 4*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4022 - 4?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (5 + (30\/(-5) - -10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 8:23 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -35*y**4 + 3580*y**3 - 11485*y**2 + 9920*y - 1980 = 0.\nAnswer: 2\/7, 1, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-6 - -27) - -13?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 0.0597.\nAnswer: 0.002388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174306323.\nAnswer: 19, 173, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*k - 6 = 0, 27 = 5*d + 9*k - 10*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-151)\/1 - 6*8\/16. Let l = 635 + h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2 + y + 1. Determine g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) -0.0518 (c) -1 (d) -1\/52 (e) -3\/8 (f) -6 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 10. Suppose 2*l + j = -2*l. Let q = l + 11. Which is greater: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.48 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(-1 + (-1*(sqrt(98) + -2) - (sqrt(98) - (sqrt(98)*-2 + -5)))))**2.\nAnswer: -7920 - 1120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 2 + 0)*(-1 + 0 + 2)*(0*v**3 - 4*v**4 + 0*v**3).\nAnswer: -4*v**5 - 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3336\/11 or -1\/4?\nAnswer: -3336\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1241\/96 + -59\/32. What is the common denominator of 93\/20 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 75. Let l = y + -21. Find the third derivative of k**2 + 2*k**6 - 34*k**6 + k**l + 3*k**2 wrt k.\nAnswer: -3840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-25)*2)\/(42\/15). Sort z, -3\/4, 4\/3 in descending order.\nAnswer: 4\/3, z, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -6)\/(22\/(-3))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*q - 4428 = -6*q, 4*u + 8828 = q. Let i be (-8)\/(-20) - u\/10. Suppose -5*d - i = -601. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131018591?\nAnswer: 3, 2801, 134597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1\/9, -5.46?\nAnswer: -5.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*m - 222 = 357*m. Let a(f) be the second derivative of -5*f**3\/2 + f**2\/2 - 8*f. Determine a(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + y**2 + 8*y. Let q(b) = 5*b**3 - 7*b**2 + 4*b - 8. Let k(r) = 11*r**3 - 16*r**2 + 9*r - 18. Let u(d) = -4*k(d) + 9*q(d). Give -i(v) + 3*u(v).\nAnswer: v**3 + 2*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60b6 (base 14) to base 11.\nAnswer: -11543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, i: 4, l: 7}. Give prob of picking 2 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*((-1)\/(-28) - 14\/49)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 3*k**2 + 6*k. Let t be (1 - (-2)\/(-4))*-14. Let x(w) = 4*w**3 + 5*w**2 + 11*w. What is t*j(g) + 4*x(g)?\nAnswer: 2*g**3 - g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 48. Suppose 5*y + v = 84. Suppose -2*r + 4*f - y = 2*f, r + 6 = 4*f. Which is the closest to -1? (a) -1 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 2*w - 22838*w**2 - 44 + 22836*w**2 + 46. Suppose -4*o = 6 + 2. Let g be -1 + 2 + o\/(-2). Calculate j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75664129589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 220.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goosooooog. Give prob of sequence gos.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 9*p**2 - 3*p + 33. What is y(4)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.41748 + -0.88755. Round n to 3 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38319669 to the power of 1\/2, to the nearest integer?\nAnswer: 6190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let b(l) = 5*l + 10. Let a(q) = b(q) + 3*h(q). Differentiate a(d) with respect to d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1367 + 8*o + 4*o - o - 1358. Calculate c(-10).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/6 - n**3 - 13*n. Let p(j) = 5*j**2 - 13*j. What is 13*f(b) - 6*p(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17762*v**4 - 149*v**2 + 126*v wrt v?\nAnswer: -426288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 - (-61 + -100 + 49).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/35006790 and 69\/455?\nAnswer: 35006790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11806.7 + 251239.\nAnswer: 239432.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67861849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/3 - 134*c. Let y(h) = 13*h**2 - 2*h + 7. Let j(r) = -12*r**2 + 2*r - 6. Let m(s) = -7*j(s) - 6*y(s). What is v(m(o))?\nAnswer: 12*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129886080 divided by 8117880?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 131*d + 152. Give t(67).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(156)*3 - (sqrt(39) + 2*sqrt(156)))\/(6*2*sqrt(27)).\nAnswer: sqrt(13)\/36 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/36 and -65\/12132684?\nAnswer: 12132684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 5*v**2 + 5*v + 2. Let i be k(-6). Suppose 2*y = -31 + 175. What is the greatest common divisor of y and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(11\/5)\/(p*p**11)*(((p*p*p*p\/((p*p**(-1\/5))\/p)*p)\/p)\/p)**(-40) assuming p is positive.\nAnswer: p**(-689\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q + 10. Let j(v) = v + 1. Let y(u) = g(u) - 10*j(u). Let w(z) = -4*z - 3. Let b(t) = 1. Let l(h) = -3*b(h) - w(h). Determine l(y(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111? (a) 2\/9 (b) -0.2 (c) 0.092 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 23*c**2 + 31*c + 36. Calculate w(-22).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/9, 0, -2\/103, -0.5, 2\/5.\nAnswer: -4, -0.5, -2\/9, -2\/103, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 2001.\nAnswer: 18009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5 - -3)\/2)\/(1\/(-16)). Find the third derivative of -84*z**2 + 180*z**3 - m*z**3 - 23056*z + 23054*z wrt z.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448.71 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7632 and 276660?\nAnswer: 1106640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 = 162*l - 61*l - 71*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60729591.\nAnswer: 3, 13, 23, 79, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2239041*j**3 + 3223407*j**2 wrt j?\nAnswer: -13434246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 + (0 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10974 = 6*m + 3630. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3941 by -6723.\nAnswer: -3941\/6723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -528 + 846. Let t = p - 2222\/7. Solve -2\/7*j**2 - 2\/7*j + t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (75\/20)\/((-9)\/(-384)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*i + 2019 - 2019. Suppose -4 = -2*g + 3*w, 0 = -2*g - g + w + 6. Suppose 0 = 4*p - 2*z + 3*z - 13, g*p - 8 = -2*z. Solve -p*o + 10 - 4 = i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011111010011 - 1000?\nAnswer: -1111011111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 - 668*w + 251952 = 0. Calculate w.\nAnswer: -348, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 12 - -10) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21177, 42352, 63527, 84702, 105877?\nAnswer: 127052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -1 + -8)*241218\/(-324)?\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153952681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8)\/d**(-1\/7))\/(d**(4\/5)*d**(-1\/2)))\/((d**(-1))**(-5\/3)\/(d**(-1)\/d)**23) assuming d is positive.\nAnswer: d**(-11723\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {g: 2, w: 2, z: 3, p: 1, o: 6, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 3*a**2 - 16*a - 3. Let g be n(-5). Let z = 96 + g. What is the third biggest value in -2\/15, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 + 107996*f - 22715376 = 0. What is f?\nAnswer: 212, 26787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 595889 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 36*f = 2430. Round f to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50352, -100712, -151078, -201450, -251828?\n\"Answer: -3*d**2 - 50351*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 4*t. Suppose 10*g = g - 18. Let a(x) = x**2 - x. Determine g*a(r) - i(r).\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 726297902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107015 is divided by 53112.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x = 83*x + 42 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -2.3. Let l = 1.5 - u. Let v be (-8)\/(-6) - 0\/1. Which is the closest to -1\/4? (a) l (b) v (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 9. Let g be (2\/1)\/((-8)\/(-16)). Let w(f) = -f**3 + 5*f**2 - 7*f + 6. Let i be w(g). Determine n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 8*t + 6. Let b(o) = -2*o**2 + 7*o + 5. Suppose -4*d - 36 = 4*k, -2*d - d - 25 = 2*k. Give d*b(v) + 6*g(v).\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182\/1729 - 2390\/(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3, 3*d = 4*s + 3 - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2301*f**2\/7 - 1842873*f\/7 + 182628\/7.\nAnswer: -3*(f + 801)*(767*f - 76)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28442 - 28442. Let m be (2\/(-1*2))\/2. What is the second smallest value in b, m, 0.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*c + 21 - 4 = 0, 4*u - 33 = -5*c. Let k be (-35)\/(-7) + 2 + -4. Solve 0 = 2*h - 6*i + u*i + 10, -2*h = 3*i + k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*s + 290*s - 147*s + 688*s**2.\nAnswer: 688*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994 a factor of 78886175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -6 - -7 - (-10 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -235 + 0?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 38*j - 34. What is the remainder when z(22) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13965*s. Let h(q) = 133*q - 44. Determine h(g(j)).\nAnswer: 1857345*j - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -331.7, -0.3 in ascending order.\nAnswer: -331.7, -0.3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqqieqw. Give prob of picking 1 i, 2 w, and 1 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 26 = -2*o, -3*a + 2*a - 5*o = -33. Let m be a\/(-16)*(-2 + 2). Solve -t + 2*t + 5 = m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 1 + 3*r**2 + 3*r + 0*r. Let q(y) = -y**2 + 10*y + 9. Let v be q(11). Let o be l(v). Calculate the greatest common divisor of o and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-280)\/609))\/(((-390)\/(-60))\/13)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758087713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 699194, -12, 0, 5 in descending order.\nAnswer: 699194, 28, 5, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b + 5*z - 95, z = b - 25. Let n be b\/(-33)*42\/2. Let j be (-2)\/((-5)\/3 - (n + 13)). Put j, -4, 0 in decreasing order.\nAnswer: j, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1122 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7 + 1 = 0, 5*z + 27 = -u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + j + 6. Let t be u(3). Let -3*z**2 - z - 3*z**4 - 39*z**3 + t*z**3 + 2*z**4 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*q - 4 = 2*q, 5*k + q = 53. Calculate the lowest common multiple of k and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 169 - 3*c + 69 - 4*c as j*c + q and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 111*d - 2271. What is z(27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*n + 153, 5*n + 116 - 341 = -5*o. Let b be 13\/2 - 2\/4. What is the greatest common factor of n and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 2. Let m(r) = -r**2. Let o be (-4)\/22 + ((-130)\/(-55))\/2. What is o*a(t) + 3*m(t)?\nAnswer: -3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*b - 469*b - 8819 = -8171 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y + 5*u - u, -4*y = -5*u - 56. Suppose 5*s - 6*s + y = 0. Does 12 divide (-638)\/(-16) - s\/(-72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 1 u when three letters picked without replacement from {t: 1, q: 2, p: 3, u: 1, z: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3931102.\nAnswer: 2, 7, 37, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = 4*s + 158 + 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1.9, -3\/2, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 1. Let a be f(3). Let q be 1\/a - 22\/(-4). Suppose -b - 1 = -q. Solve -4*j + 8 = -4*v, 0 = b*v - 4*j + 10 - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2263 = -1667. Let o be q - 1\/(-1)*-4. Round o to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3 + 4. Suppose -4*z = -o - 27. Solve 3*s + z = -3*y + y, 2*s = 4*y + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6) - (-20)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429 + -203. Let b = k - 91. Suppose 0 = 4*a - 7*a + b. What is the highest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*u - 203 = 24*u - 2027 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 807*i**2 + 101*i + 387. List the prime factors of t(-4).\nAnswer: 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1205*n + 202*n + 1977*n - 973*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - 4634\/(-35) - 2\/5. What is the greatest common factor of s and 5698?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000831606637 rounded to 7 decimal places?\nAnswer: -0.0008316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + -1 + -2 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8862 + 992. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10795913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-3 + 298\/66 - 12\/66) - 9.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*q + 19. Let t = q - -6. Solve t = -4*o - 3*b + 25, -5*o + 8 = -4*b - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176910583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 37*u + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/11 - (-473)\/(-605). Is f smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h**2*h**(-1\/5)\/h*h*(h\/(h\/(h\/((h**(-5\/6)*h)\/h))))\/h*h)\/(((h\/h**(-8))\/h)\/(h*h*h**4*h*h))**(-15) assuming h is positive.\nAnswer: h**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752335156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - x**5 - 2*x**5 + (-2*x**2 - 2*x**2 + 6*x**2)*(38*x**3 - 73*x**3 + 32*x**3).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -34332501454?\nAnswer: -34332501452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19364 - -12?\nAnswer: -19352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 5. What is the lowest common multiple of f and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -6877 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q + 2*q - 4*q - 6*q + 1 to d + s*q and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36536145*a**2 + 38290345?\nAnswer: 73072290*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 758 and 909221?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/54 and 1\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 26 = 2*g - 44, 0 = 3*s - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 98*s**3 + s**2 - s - 1. Let d be a(-1). Let g be (d\/3)\/((-1)\/(-3000)). Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486 + 248 + 3*h + 238.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*x**3 + 5*x**2 - x - 6*x**2 - 7*x**3 + 0*x + 5*x**2 to n + j*x + a*x**3 + h*x**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332.132kg to micrograms.\nAnswer: 3332132000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 8*l**4 - 92*l**3 + 569*l**2\/2 - 251*l\/2 + 15 = 0.\nAnswer: 1\/4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17380686 by 1247.\nAnswer: -13938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880453 is divided by 8986?\nAnswer: 8811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1192202 (b) -3\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*(-1 + sqrt(252)) + -3)*-3)**2.\nAnswer: -6480*sqrt(7) + 57996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/1728)\/(2\/3)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -94*c - 580. What is f(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 0.7. Let d = 0.4 - l. What is the nearest to 1 in -6, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024445 + -5.8151\nAnswer: -5.839545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -21288.\nAnswer: -1\/10644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(304)*3*2.\nAnswer: -2 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 780461.1ml in litres?\nAnswer: 780.4611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -267336.2401 to the nearest 100.\nAnswer: -267300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 27642?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 63, 9, 3, -4 in descending order.\nAnswer: 63, 9, 5, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 = -689*b + 1644*b - 549*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1746509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + j + 14. Let i(m) = 4*m**2 - 2*m - 29. Determine -5*b(s) - 2*i(s).\nAnswer: 2*s**2 - s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (-21)\/(-2). Let o be ((-2)\/(-5))\/(2\/r). Suppose -54 = -m - 4*m - o*t, 5*m = 5*t + 40. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.4044 - -0.1044. Let w = i + 55.48. Let a = 0.32 + w. Round a to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651017, -1302125, -1953233, -2604341, -3255449?\nAnswer: -3906557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from {k: 4, i: 1, u: 9, y: 1}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) - (7 - 11785\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 - -19.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -48, -121, -226, -363, -532, -733?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 218. Let l = t + -61. Let n = 55 - l. What is the highest common factor of 84 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + 26. Suppose 6*h - 75 = l. Suppose 22*z - h*z = -244. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 + 21*f**4 + 11*f**2 + 7 wrt f?\nAnswer: 60*f**2 + 504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 16 = -16*c - 4*w + 8, -3*c - 15*w = -10*w - 30 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 + -10402\nAnswer: -10405.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 114. Put b, -2, -3, 4 in descending order.\nAnswer: 4, -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 + 22*c**2 + 19*c**2 + 16*c**2 - 85*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18245\/1025 - 6\/(-5). Solve -32 = 11*r - t*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4966 * 0.2.\nAnswer: 993.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzlzzkzjkkzzkkk. What is prob of sequence kkk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8676118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 5*t - 8. Suppose 21 = 3*q - 15. Suppose -3*f - 3*d + q = 0, 5*d - 8 = 3*f - 6*f. Calculate a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-8\/5)\/(((g\/g**3)\/g)\/g*g**(1\/4))*g**(-2\/3)*g\/(g\/g**(-1))*g**(1\/5)*g*g**5*g assuming g is positive.\nAnswer: g**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4933238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5)*-5 - 1. Suppose -s + n*s = 16. Solve -13 = -4*u - u - s*a, 6 = -4*u + 5*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2.8, 3\/11, 5, 1, -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11208 is divided by 261.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 42\/104 + 24\/(-156)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*f - 17. Suppose -f + 4 = -s. Find the common denominator of (-54)\/(-504)*194\/s and -83\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495)\/(-2))\/(-55) + (-27)\/(-6) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75390035*m - 11805076.\nAnswer: -75390035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-50)\/(f**(-3\/4)\/f**(-1\/6)) assuming f is positive.\nAnswer: f**(607\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 117\/(-130)*(-85)\/(-68)*(-2)\/(-3). What is the nearest to 0 in i, 3, 0.041?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + c)*(0*c + 0*c - c**2) + 10*c**2 + 1665*c - 7080*c**3 - 1662*c + 7061*c**3 to the form w*c**2 + z*c + l*c**3 + a and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 1766*f + 10543 = 164*f - 22657 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(32) + 0 + 4 + sqrt(2)*-1 - -3*(1 + sqrt(2))*6).\nAnswer: 44 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -1\/8794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -168, -828, -1916, -3420, -5328?\n\"Answer: 2*c**3 - 226*c**2 + 4*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -453\/11 at least -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -11. Let o(f) = -f**6 - f**4 - f**2. Let n(j) = -5*j**6 - 6*j**4 - 7*j**2. Let i(v) = d*o(v) - n(v). Find the third derivative of i(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-12) + -3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2332*j*o**3 - 613*o**3 + o**2 wrt j?\nAnswer: 2332*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-16)\/(-72). Suppose n = -3*k - 6, 0*k - 34 = -3*i - k. What is the highest common divisor of 96 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 364\/157?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g + 47 = 5*b, 0 = 4*b + 2*g - 34. Let h(t) = t + 1. Let k = 7 - 7. Let a be h(k). Calculate the highest common factor of a and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5650363612?\nAnswer: 2, 6701, 210803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 162, 143, 106, 45, -46, -173?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 10*l + 10. Let c be f(10). Suppose -a - a = k - c, -5*k + 17 = -a. Let z(h) = 5*h**2 - 4*h - 4 + 2*h**3 + 3 - 3*h**3. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3737413\/7 - 533913. Find b such that i*b**3 - 52\/7*b**2 + 0 + 32\/7*b - 2\/7*b**4 = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {s: 13, o: 2, c: 5}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 6)*(5*u + 3*u - 5*u)*(-13*u - 11*u - u).\nAnswer: -525*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(520))\/sqrt(10))\/(-3*sqrt(100) + sqrt(100)) + -2.\nAnswer: -sqrt(13)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*a**4 + 148*a**3 - 208*a**2 + 48*a.\nAnswer: -4*a*(a - 3)*(a - 2)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:49 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -20, -1, 0 in increasing order.\nAnswer: -20, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, v: 6, m: 2, j: 2, y: 3}. What is prob of picking 3 y and 1 j?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:37 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 2*g**2 - g - 4. Let r be k(3). Let p(i) = 3*i - 5 - r*i + 2 + 2. Let q be p(2). Solve 0 = -2*f + q + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(2299) + 0 + -4*(sqrt(2299)*-1 - sqrt(2299)) - (sqrt(2299)*-1 + -2 + 3)))**2.\nAnswer: 229900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27186 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 295?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 75 = j. Calculate the common denominator of (66\/(-21))\/(j\/(-35)) and 38\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*t**3 - 5*t**2 + 2*t**4 - 3 + t**2 + 6*t**2 as x*t**2 + j*t + w*t**4 + n + b*t**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 5*v, 2*z - 5 = v. Suppose -z*j + 4*u = 2*u - 1220, 731 = 3*j - u. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-292)\/(-657))\/(100\/(-45))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 1, e: 1, r: 5}. Give prob of sequence bze.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + (6 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21868449*n + 11790129 wrt n?\nAnswer: 21868449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17754345?\nAnswer: 3, 5, 7, 157, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-300)\/(-6 + 36)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*w = 3*w - 14, 0 = -3*u - 4*w - 3. Let k be 105\/(-42)*18\/u. Calculate the greatest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*z = -363*z + 96 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1025*t**2. Let g(i) = 3*i. Determine g(m(a)).\nAnswer: 3075*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/8, 29, -0.4, -1\/8, -13\/8 in ascending order.\nAnswer: -13\/8, -7\/8, -0.4, -1\/8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1445 - -0.0445. Which is the nearest to 2? (a) 11\/2 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5714 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 23*i - 32*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000924562234 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 26 = -5*q, -4*b - 4*q = q + 12. Let c = b + 0. Let l(t) = 2 - t**c - 2. Let x(s) = 3*s. Determine l(x(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -1527491.\nAnswer: -19\/1527491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197329 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054187?\nAnswer: 17, 62011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 - 5*f - 8*f**2 + 0*f + 2*f. Let q be t(-5). Let g = q - 25. Round g to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:00 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1614 + 1619. What is the closest to -2\/5 in c, 1, -2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 1588 = 6*p + 2*n, 2*p - 778 = -3*n. What are the prime factors of p?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 128 - 366 = 0. Let r(p) = -29*p**3 - 2*p**2 + 2*p + 1. Let o be r(-2). Calculate the greatest common factor of g and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -96. Let g = 48.46988 - 87.47094. Let y = g + p. What is y rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = -4, -3*t + 2*m = -11. Let d = -2 + t. Does 3 divide (1 + -3)*d*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w = 39*w - 342459. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u + 36*u - 20*u - 10*u + 12. Let a(o) = o - 1. Determine -22*a(l) - 2*i(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -379*o**3 - 3*o - 2. Determine d(-1).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 16, -36, 5, 52 in increasing order.\nAnswer: -36, -7, 5, 16, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/(-774))\/(-4*(-336)\/(-108))\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6*j - j - 16, -4*j = w - 10. Let c(o) = 2*o - 1 + 3*o - 7*o + 5*o**2 + 2. What is the units digit of c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.4. Which is smaller: -6\/11 or l?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (8 - 3 - (5 + -1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128786 and 252?\nAnswer: 2318148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2 - 302. Let l = 51 - z. Let r be (-5)\/l*(-5)\/(-3). Which is smaller: r or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2812*k**4 + 587 wrt k.\nAnswer: -11248*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l**3 + 2*l - 1 - 17*l**3 + 11*l**3 - l**2 to m*l**3 + r*l**2 + s + b*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 51*u**2 - 6*u + 37. Let m = 244 - 240. What is the hundreds digit of x(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**4\/6 - g**3\/3 + g**2 + 6*g. What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16968)\/(-11200))\/101)\/((-15)\/120)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 8. Let w be y(-12). What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894110 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*-10 - 0. Let a be 1 - ((-2)\/3 + 2). What is the closest to a in -2, 3\/8, j?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -1\/4, 3\/5, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 15*u - 21. Let m(t) = -5*t**2 - 32*t + 41. Let o(l) = -7*h(l) - 3*m(l). Let f be o(9). What is the greatest common divisor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 7}. What is prob of picking 1 k and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-55)\/50*8*1. Let b = -386\/45 - f. Solve 4\/9*x**3 - 2\/9*x**2 + 0*x - b*x**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*b + 23*b. Let s(y) = 11*y**3 - 13*y**2 - 2*y + 6. Calculate the remainder when s(b) is divided by 52.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, e: 2, k: 10}. What is prob of sequence kyk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - 2\/(-2). Let q = 528 - 526. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104756238 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18163?\nAnswer: 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f**2 + 111*f + 6927. What is y(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 26 + 29 = 0. Suppose 4*x - 6 = -u*n + 45, 0 = -x + 3*n + 9. Calculate the highest common factor of 84 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2 + 5. What is the remainder when 12 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0*d**6 - 5 + 0*d**5 - 23\/42*d**7 + 1\/6*d**4 + 0*d**2 + 2\/3*d**3 + 3*d. Find the second derivative of z(q) wrt q.\nAnswer: -460*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4*h = 48, 8004*l + 2*h - 16 = 8002*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h**2 + 23*h + 23. Let k(q) = 8*q**2 + 8*q + 8. Let v(y) = 14*k(y) - 4*r(y). Let g(x) = x**2 + x + 1. What is 20*g(o) - v(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(51\/(-255)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.8 * 2.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:07 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13*z - 9 - 4*z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -775, -1533, -2275, -2995, -3687, -4345, -4963, -5535?\n\"Answer: d**3 + 2*d**2 - 771*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - (-4 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 10.08. Let r = h + -18.5. Let j = r - -9. What is the third smallest value in 9\/5, j, -5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -52. Let u = c - -11. Do 2\/7 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 5*u. Let q be j(7). Let w = -11 + q. Suppose -3*c - 4*t + 14 = -3*t, 12 = 2*c + 2*t. Solve 7*i - 11 = 5*b + w*i, 16 = c*b + 3*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 4*u. Let m be u\/12 + 1\/(-4). Suppose m = 3*c - 0*c - 153. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -470 - -531. Solve 0 = 7*c + r - 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.031 + 44.031. Let f = k - 44.00131. Round f to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -29. Let l = 19 - q. Suppose 8*r = 3*r - d + 275, 4*d - 260 = -l*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*p + 1807, -u + 368 = 2*p - 531. Suppose 460 - p = 4*m. Let d(h) = -8*h**2 - 3. Let z(k) = -k**2 - 1. Determine m*z(s) - d(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016039 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000239912 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 297 = 273 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = i - 8, -3 = 3*v + 2*i + 6. Let y(w) = w - 2. Let o be y(v). Let a be o\/((-1)\/(-2)*-2). What is the highest common factor of a and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168292877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 390, 501, 686, 945?\n\"Answer: 37*g**2 + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-3) + 2 - -31 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 + 7128*t**3 + 2998400*t**2 - 159173400*t + 720013500 = 0. Calculate t.\nAnswer: -915, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d + 4. Let y(q) = -6*q + 2. Determine 4*i(t) - 9*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-15)*2 - (-1095235)\/(-51825)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21967684 or -21967620?\nAnswer: -21967620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3745302um in kilometers?\nAnswer: 0.0000000003745302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297\/35 + -58\/7. Let j be -4 + 1 - (-9)\/((-405)\/(-140)). What is the second biggest value in j, q, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2419*y**2 + 2419*y**2 + 1991*y**3 + 2*y**2 - 2*y**2 + 2*y**3 + (3*y**2 - 3*y + 3*y)*(-y + 6*y - 3*y).\nAnswer: 1999*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*d + 3*f - 201, 3*f = -4*d + 275. List the prime factors of d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9744 divided by -84\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(176) + 1)**2 + sqrt(539) + 0 + sqrt(539) + sqrt(539) + sqrt(704)*1.\nAnswer: 53*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + l**4 - 3*l**4 + (24*l**2 + 7*l**2 + l**2)*(-5*l**2 + 5*l**2 - l**2) in the form h*l**2 + m*l**3 + w + c*l**4 + r*l and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2651 - 24451*c**3 + 24452*c**3 - 1271 - 1380.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 949.64\nAnswer: 39884.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*u - 10368 = -4*u for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12553 - -16880. Let z = m - 52233. What is z rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 657 and 16906581?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -240005962 or -240005965?\nAnswer: -240005962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 116 + 501. Calculate the remainder when 14\/p - (-218)\/11 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5496 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 4*b + 7. Let s be n(-5). Let l(w) = 4*w**2 + 3*w - 3. What is the remainder when l(s) is divided by (0 - -1 - 11)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*l**4 - 48 - 3*l**3 + 35 - 4*l**2 - 2*l**3 as b*l**4 + v*l**3 + t + j*l**2 + p*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6*k - 4 = 0. Solve 6 = -k*q - 2*i, -3*q + 3*i - 2 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -10, -16 in decreasing order.\nAnswer: -5, -8, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*h + 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5*j*j**(-5))**(-1\/2)*(((j*j*j**(-4)*j*j)\/j)\/(j**(1\/2)\/j))**(-1\/10) assuming j is positive.\nAnswer: j**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -29, -61, -129, -245, -421?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*d - 24. Let c(w) be the first derivative of -w**2\/2 + w - 2. Let r be c(-7). Solve 0 = -i - 0*i + 3*g + 11, -d*g - r = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-27)*(-4)\/10. Let v = 8.43 + -8.41. What is the nearest to -1\/3 in -0.2, j, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/18 - 4\/9. Let a = -57 - -34. Let v = a - -19. What is the second smallest value in -0.5, v, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 7. Let j be x(-5). Suppose 3*t + 11 = j. Let a(n) = n**3 + 5*n**2 - 3. Is a(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - (sqrt(450) + -3*sqrt(450)))\/(sqrt(216)*6).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 34 - 34)*(o - o + 2*o**4 - 2*o**3).\nAnswer: -8*o**5 + 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 41 = -d. Let v = d - 77. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (637\/364)\/(8575\/(-588))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-7)\/3)*50\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 100, 332, 782, 1522?\n\"Answer: 12*i**3 + i**2 - i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3782*p + 11479. Let l be j(3). Solve -1030*f = -1049*f - l for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*b - 44*a + 46*a, b - 6 = 2*a. Solve -10*d + 7*d - 2*y + 8 = b, 5*y = 3*d - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + -2. Let o = -10 - s. Suppose -1 = -4*p + 11. Solve w = 3*w - a + 9, -p*w = 2*a - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73669.8 + -1\nAnswer: -73670.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 4577 = 552. Calculate the highest common divisor of 91 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463479 (base 13) to base 6.\nAnswer: 55355133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25585.\nAnswer: 5, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 16*l = -462. Let m = 46 + l. Solve v + 1 = m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -231 + 5*a**2 - 3966890*a + 3966890*a + (a - a - a)*(-2*a + 2*a + 3*a) - 2*a**2 + 3*a**2 + a**2 + (2*a + a - 5*a)*(2*a + 3*a - 3*a) + 1 - 1 - 2*a**2.\nAnswer: -2*a**2 - 231","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -219, -173, -65, 135, 457?\n\"Answer: 5*g**3 + g**2 + 8*g - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.5, 3.1, -2, 1\/6 in descending order.\nAnswer: 3.1, 1\/6, 1\/9, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 2*x**2 + x. Let b(u) = 6*u**3 - 7*u**2 + 10*u - 1. Give b(g) - 4*s(g).\nAnswer: 2*g**3 + g**2 + 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18a - -3?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)\/(9\/27). Suppose -j + 13 = -o. Suppose -1 + j = 5*z. Solve z*n = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 6 - 7 - 4*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 4*j - 5*j)*(-5 + 2 + 2) + 4*j - 3*j + 8*j - 2*j + 0 + 0 - 25 + 5*j - 6*j + 5.\nAnswer: 4*j - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i - 2. Let h(w) = w**3 + 2*w**2 - 95*w - 34. Let k be h(9). Let b(u) = -30*u - 10. Calculate k*b(s) - 11*d(s).\nAnswer: 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6058 and -0.008.\nAnswer: 48.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45232 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1562 and 2840?\nAnswer: 31240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2 + 11330568*p - 192619078 = 0.\nAnswer: 17, 5665267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 26. Let r = g - 7. What is the third derivative of 14*j**2 - 8*j**5 + r*j**5 + 8*j**5 wrt j?\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*t + 26 = 0, 0 = -2*t + 8 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 4*m + 3*m + 9*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 9*r**2 - 159*r + 510. Give z(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203661 - -4?\nAnswer: 203665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301030, 601172, 901314, 1201456?\nAnswer: 1501598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84086616.\nAnswer: 2, 3, 3503609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 87, 182, 333, 558, 875?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-20)*4 + (-1 - 2). Solve 4 = o*m - 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518593 is divided by 4521?\nAnswer: 3199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 642679*g**4 - 55*g**3 + 96918435*g**2 wrt g.\nAnswer: -60*g**2 - 15424296*g - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -109 (c) 0 (d) -0.2 (e) -18 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*j - j - 2*j**2 - 4*j**2 + 320*j**3 - 320*j**3 + 3*j**4 as s*j**4 + m*j**3 + t + p*j + u*j**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3493, -3494, -3497, -3502?\n\"Answer: -o**2 + 2*o - 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 - 130 + 68*x + 64 to the form y + k*x and give k.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, 2, -23213 in decreasing order.\nAnswer: 2, -158, -23213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(5\/2)*d*d)\/(d**(-5)\/d)*(((d\/(d\/d**(3\/10)))\/d*d)\/d)\/d**(-4\/13) assuming d is positive.\nAnswer: d**(722\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18685\/(-18) + (-2)\/(-4). Let t = m - -1040. Suppose 32\/9*p**2 + 14\/9*p**3 + t*p + 4\/9 = 0. Calculate p.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 21*v + 83 - 17*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-3)\/(-9))*3. What is the third derivative of -9*d**k + 16*d**4 + 7*d**4 - 29*d**4 wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 7*l**2 + 3*l + 1. Let t be f(-6). Suppose y - t = 5. Suppose -y - 36 = -3*h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 564\/423 - 56\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e (base 16) to base 12.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d*d**(-1\/4)*d*d*d)\/(d\/((((d*d*d*d**(2\/5))\/d)\/d)\/d)*d**(-4\/9)) assuming d is positive.\nAnswer: d**(1907\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82263 by 2039.\nAnswer: -82263\/2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -746, -5987, -20108, -47513, -92606, -159791, -253472?\n\"Answer: -734*x**3 - 36*x**2 + 5*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 44*h**2 + 292*h + 463. What is x(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151400 rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.49 + 0.51. Put 0, 4, -1\/6, b in descending order.\nAnswer: 4, b, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(2*l - l + 0*l) + 0 - l + 0 + 7*l - 9*l + 0*l + (2 - 2 + 1)*(0 + 1 - 2)*(-2*l - 2*l + 8*l) as f*l + u and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.660181 to 2 dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 47*c = -51, -2*h - 3*c - 1 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -492611, -492609, -492607?\n\"Answer: 2*f - 492613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2350*s - 1. Let k be d(7). Let n = 9749 - k. What is n rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298*-1.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19046 - 3118715408.\nAnswer: -3118696362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - (2 - (2 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5970, 5616, 5026, 4200, 3138?\n\"Answer: -118*h**2 + 6088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/4 + 5*m**3\/3 + m - 1. Let g be -12 + (-2 - -3) + 0. Let s = -16 - g. Calculate w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 83 + a**2 + 2*a - 13*a + 8*a in the form i + s*a + z*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202519*r = -202289*r + 13800 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603675.\nAnswer: 3, 5, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + 7) - (2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/g**9)\/g)\/g*g\/(g*g\/(g*g**(2\/15))))\/(g**(-10\/7)\/g*g*g*g**(6\/13)) assuming g is positive.\nAnswer: g**(-12148\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142856.5 months to years.\nAnswer: 178571.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2033*o - 1522*o = 127980 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*m**2 + 9*m**2 - 21*m**2 - 61*m + (30*m**2 - 13*m**2 + 30*m**2)*(-5 + 2 + 2) to j*m + b*m**2 + u and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - 3*v**2 - 3*v + 9*v**2 + 4*v - 1 as h + w*v**2 + x*v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 - (-145)\/10. Suppose 2*k = -5*y, 0 = 2*y - 3*k + 5 + g. Let b(f) = 4*f + 1. Calculate b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/6 - u\/6 + 1 = 0. Calculate u.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -1252 (c) 0.8 (d) -5 (e) 1 (f) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a**(-4))\/(a*a*a**28*a\/a**19) assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q - 1. Let c(h) = 3*h**2 + 3*h + 12. Let j(p) = -c(p) - 6*x(p). Factor j(z).\nAnswer: 3*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - sqrt(2016)*-1)\/(sqrt(20)\/(sqrt(10)*1 + sqrt(10)) + sqrt(2)) + (((-1 + sqrt(343))*1)**2 - (1 + sqrt(343) + 2)).\nAnswer: -5*sqrt(7) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -8797 - 2597. Is -1 - (a + -6 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + f)*(3*f**4 - 5*f**4 + f**4 + 0*f**4 - 5*f**4 + 3*f**4 + (2 - f - 2)*(-2*f**2 - f**3 + 2*f**2) - 11*f**2 + 0*f**3 - f**4 + 0*f**3).\nAnswer: -3*f**5 - 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 28 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((17 + 2 + -16 - 66) + 5).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3*j - j**2 + 5 - 1 - 3*j**2 - 3. What is the remainder when z(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + c + 3 = 0, -9 = -5*f + 8*f - 3*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrryyrrrrrryrrrrrry. Give prob of picking 1 r and 3 y.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + -5 + 47. Suppose 2*v - 102 + g = 0. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15 - 44901991 - -6)\/(-1). Round d to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + -237. Let a = m + 691. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 - 6 = 0. Let k(c) = 57*c + 346. Let z be k(-6). Suppose 2*f + 2 = 2*g, 72*f - 73*f - 4*g + z = 0. Sort -3, o, f, 2 in decreasing order.\nAnswer: o, 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3816 and 1696?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = 9*g - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/4*-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*u + 80, -i - i - 37 = -5*u. Is 30 a factor of (-6704)\/(-56) - 6\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 8:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m - 3*a = -49*m - 2286, m + 4*a - 747 = 0. Which is smaller: 760 or m?\nAnswer: 760","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**3 + 4160*u - 43264\/5 + 412\/5*u**2.\nAnswer: 2*(u - 2)*(u + 104)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w. Let c(k) = -24902 - 24904 + 4*k + 49807 - 2*k**2. What is -6*b(x) + c(x)?\nAnswer: 4*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 5 = 15*u + c, -55*c = 10*u - 13*u + 159 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and -151\/2566692?\nAnswer: 17966844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5537\/472364 - -1\/1756. Let g = c + 6477\/1883. Find the common denominator of -113\/6 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -2\/5 (c) 3 (d) 0.1 (e) 1137 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:49 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5 - 13 = 0. Suppose -7 = -4*b - a*b. Put 3, -0.3, b in increasing order.\nAnswer: -0.3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + f. Let l(i) = i**2 - 2*i + 1. Let s(y) = 2*d(y) + l(y). Let u(m) = 8*m**2 - 6. What is -6*s(q) - u(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4680590523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 51*o + 220 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 16*g - 10. Suppose -4*j = -0*j - 16. Suppose c - j = g. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 219027453*f - 657082332.\nAnswer: -3*(f + 3)*(f + 73009148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2642 divided by -40\nAnswer: 1321\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.001 + 1.424. Let o = q - 4.757. Let s = -3.4 - o. What is s rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 14414034234?\nAnswer: 14414034240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 68964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, -1, -3\/2, -0.4, 3, -108 in ascending order.\nAnswer: -404, -108, -3\/2, -1, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1 + (-3)\/(15\/(-35)). Suppose 5*c = a*o - 4104, 0 = 3*o + c - 3*c - 3085. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*c + 29*c + 7. Let m be 11752\/408 - c\/(-3). Let f = -454\/17 + m. Which is greater: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(21)\/(((sqrt(7) - 1*sqrt(7)) + sqrt(7))*-1) - (0 + (sqrt(9) - sqrt(324))\/sqrt(3))) + 3)*-4)**2.\nAnswer: 384*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64778810*q**6 + 147402923*q**2 wrt q?\nAnswer: 7773457200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 193. Suppose -762 + 250 = -x*y. Calculate the remainder when y is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/13 in 3\/4, -0.3, -3, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21182184 and 9414304?\nAnswer: 84728736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let i be 2*((-4)\/46)\/(18 - 20). What is the second biggest value in i, -5, 8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 33, 32, 31, 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + f - 7. Let h be (-11)\/33*(-1)\/(3\/18). Suppose -10 = -7*z + h*z. Let u be k(z). Solve v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346042 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -812*q*y + 1026*q + 2 wrt y.\nAnswer: -812*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -51*o**4\/2 + 276*o**2. Let b(r) = -13*r. Determine 187*b(g) - 4*s(g).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62369604.\nAnswer: 2, 3, 11, 29, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-76)\/(-228))\/((7\/238)\/1). Solve -14\/3*i**3 + 2\/3*i**4 - 34\/3*i + 4 + k*i**2 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 28*o**3 + 2*o**2 - 1. Give a(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7.53329 * -3\nAnswer: -22.59987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/26))**(-7) assuming h is positive.\nAnswer: h**(7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4*s + 2. Let f be u(-3). Let n be 4 - 0 - 0\/f. Sort 1, n, -4.\nAnswer: -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 10 = 0, -12 = -3*h + 4*b + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1794 + y**2 - 1794)*(2 + 3*y - 1 - 5*y) in the form c*y + h + k*y**2 + g*y**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-69)\/92 - 6\/((-18)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 29. Which is the third biggest value? (a) 0 (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 to the power of 1\/2, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -5 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**3 - 81*d**2 + 11*d. Let w be s(10). Let m be 3 - 0\/3 - -307. Calculate the highest common divisor of m and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 12546093.\nAnswer: 100368744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127 and 541909?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -138b82 (base 14) in base 10?\nAnswer: -677294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350383678?\nAnswer: 2, 7, 17, 173, 32797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {y: 5, k: 3, g: 1, b: 1, h: 1, a: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 2, s: 3, z: 7, g: 5}. Give prob of sequence isz.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*((j*j**(1\/5)*j)\/j*j)\/j)\/j*j*j)\/j**(5\/11))\/(j**(1\/6))**(-5\/6))**(-1\/52) assuming j is positive.\nAnswer: j**(-5711\/102960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, -395, -5 in ascending order.\nAnswer: -395, -30, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*b**2 + 39736*b - 136 - 2*b**3 - 39738*b as d*b**2 + q*b + k + u*b**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/31)*(s\/(s\/(s*s*s**6)))\/s*(s**(4\/3))**32)**35 assuming s is positive.\nAnswer: s**(165130\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1292600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 + 4*n - 4. Let p(t) = 1 + 3 + 13*t**2 - 3*t - 6*t + 5. Suppose -3*u + g - 16 = 1, -2*g = -3*u - 22. Calculate u*p(j) - 9*o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1662897 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671967 is divided by 664?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 3. Let y be (3 - 38\/14)*7. Let n be 16\/20*(-5)\/y. What is the units digit of c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = 2. Let j = 478 + -474.21. Let m = -0.21 - j. Which is the nearest to f? (a) -1 (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4\/2 + 1600*f**3 - 247260*f**2 - 2062080*f - 3122280 = 0. What is f?\nAnswer: -6, -2, 294, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7033885?\nAnswer: 5, 37, 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(13\/5)\/y*y*y*y**(-6))\/(((y*y**(-7\/3))\/y)\/y**(-3)) assuming y is positive.\nAnswer: y**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14147, 14119, 14077, 14015, 13927, 13807, 13649, 13447?\nAnswer: 13195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v + 18. Let y be n(3). Let p be 16\/40 - 16\/(-10). What is the remainder when 31 is divided by p*y\/8*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10799 = 2*x + p, 0 = -5*x - 41*p + 40*p + 26993. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89036894 by -47.\nAnswer: 1894402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmlykbylmlly. What is prob of sequence ymbm?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose -4*d = 5*t - 2*d - 12, -3*t + 3*d + 24 = 0. Suppose -4*s = -t - b. Solve 4 = -c + s*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1. Let i(o) = 2*o + 1. Suppose 62*n = 66*n - 12. Calculate n*i(p) - 3*a(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 828556247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 4. Let q be (3\/(-2))\/((-12)\/80). Let a = q + -19. Let y be s(a). Round y to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 5*u + 1. Let b(k) = -15*k - 6*k**2 + 2*k - k + 3. Determine 11*a(r) - 4*b(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -516. Suppose -4*m + 250 = -f, 4*m + 6*f - 3*f = h. Suppose q - 27 = -2*n - 4*q, -3*n = 3*q - m. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101002 (base 3) in base 10?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83, -190, -299, -410?\n\"Answer: -u**2 - 104*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.076867 + -37.087867. Round o to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*s + 77 + 26*s - 154 wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2736 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465278 is divided by 293034.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/3 + 6\/(-9). Suppose 5*z = -3*k + 24, -z + 26 = 4*z + c*k. What is the least common multiple of z and (-28)\/14*(-11)\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Let p(w) = 2*w**2 + 18*w + 3. Let z be p(-9). Which is the nearest to -0.1? (a) j (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009676 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.195 + -0.005. Let g = -0.32 + 1.32. Which is the smallest value? (a) -3 (b) i (c) g (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 + -3.6. Put 6, -2\/7, n in ascending order.\nAnswer: -2\/7, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -6. Let r = -10 - n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (87 + -126) - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Let u = -0.1062 + 0.1062. Which is the closest to u? (a) t (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941414259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2. Let c(q) = -152*q - 43*q - 211*q + 121*q. Determine c(v(m)).\nAnswer: -1425*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/5)\/o*o*o)**(-8\/13))**2)**1 assuming o is positive.\nAnswer: o**(-48\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6503.676 years to months.\nAnswer: 78044.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:38 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4635123 to the nearest integer?\nAnswer: 2153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-24))\/((-1505)\/70 + 19).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 654855242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -2, -23 in descending order.\nAnswer: 5, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 19 = -s + 3*s, -3*s - 21 = 3*p. Is (3 + -2 + s)*-1019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 174 + 3738. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j + 31*j = -280 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -5, -19, -89275, -18 in descending order.\nAnswer: 4, -4, -5, -18, -19, -89275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsy when three letters picked without replacement from qyfqfyfyqfqfqqqqsqf?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 32*n**2 - n - 27. Let a be r(-32). Solve 3*i - 14 = -a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267463 (base 8) to base 2\nAnswer: -10110111100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from gixoxzm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -0.75. Let d = -2 - r. Let f = 0.2 + d. Which is the nearest to f? (a) 0.3 (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57983.\nAnswer: 23, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 31. Let s = -12 + q. Solve s = -x - 3 - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (360\/12)\/((-105)\/70). Sort -5, m, 13 in decreasing order.\nAnswer: 13, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 227?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 38, -29, -10, -5 in decreasing order.\nAnswer: 38, -1, -5, -8, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 2*i + 2, -10 = -2*i. Suppose 0 = s*c + 2*x - 18, 2*c + 4*x = 15 + 5. Solve q - 17 = -c*r, -q - r + 6 - 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 6.5, -0.32, 1\/4, 68?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55690624 and 2531392.\nAnswer: 55690624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 2*c)*(-4 - 3 + 4)*(-c - 4*c + 3*c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 1827365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 94 - (-2 + -9 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 493?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 46\/((4\/9)\/2 - (-791)\/1017)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**4 - 138282 + k + k + 138350 + k**2 to f*k**3 + x*k + w + c*k**2 + g*k**4 and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2187) + sqrt(2187)*2))\/(sqrt(576)*-1*-6).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 5:29 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/152*91\/((-91)\/(-4)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(1 + 1 - 1)*(39*c - 185*c - 40*c).\nAnswer: -186*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 15*l - 96. What is the greatest common factor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*v, 0 = -18*w + 17*w - 6*v + 8*v + 25 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let x(s) = -4*s - 2 + 2 + s. Give x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1)*(-1 + 4). Let w(g) = 4*g**2 - 17*g + 1. Suppose -3*s - o + 10 = 0, -4*s + 4*o - 8 = -0*o. Let z(d) = -d**2 + 4*d. Give j*z(l) + s*w(l).\nAnswer: -l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 1237 = 58. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 393320 and 184?\nAnswer: 9046360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+-1430208384265\nAnswer: -1430208384264.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:51 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 87*u + 115. Determine l(-23).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/15 + p**4\/4 - 2*p**2\/3 + 176. Solve i(n) = 0 for n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -51 - 19. Let h be 69\/(-168) + 4\/p. Let d(t) = t**2 - 5*t + 1. Let y be d(5). Is h <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23*b - 193. What is the hundreds digit of l(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*i**2 + 147*i**2 + 126*i**2.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 11 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2. Suppose -m + 25 = 4*m. Suppose -5 = -c + 5*z + 1, -m*c + 5*z + 30 = 0. Let i(w) = -c*w**2 + 2*w**2 + 5*w**2. Calculate v(i(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:34 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*f - 36*f + 78. Let l(o) = 9*o**2 - 21*o + 15. Let w(b) = 5*b**2 - 11*b + 8. Let u(t) = 6*l(t) - 11*w(t). Calculate u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -282 - -284. Let f be (-11750)\/(6*k\/26400). What is f rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 3. Let j be b(8). Suppose -j = 8*q - 3*q, 2*g - 2*q = 8. Solve -4*a - 4 + 0 = -v, g*a + 3 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -130. Solve -13 = n*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 4\/1)*(-2 + -92). What is the first derivative of 104 - 5*k**4 - v + 17*k**4 wrt k?\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-40) + (-26)\/(-8). Let d(s) be the second derivative of -6*s + 4\/3*s**j + 0 - 3*s**2 - 1\/6*s**4. Find f such that d(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2*v**2 + 22*t**2*v + 5*t**2 + 331*v**2 wrt t?\nAnswer: 2*t*v**2 + 44*t*v + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 44*v**2 - 22*v + 42. Let w be l(2). Which is bigger: w or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1.1, -6, 0, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, e: 5}. What is prob of picking 1 j and 1 e?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**2 - 19*a - 24. Let x be b(-5). Suppose x = 20*m - 69. Solve -m*h = -15*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*b, 23 = -7*g + 5*b - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 153, -3, -11444, -21, 4 in increasing order.\nAnswer: -11444, -21, -5, -3, 4, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9835097.\nAnswer: 457, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 298. Suppose 0 = 7*z + j - 2828. List the prime factors of z.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1205988544 and -0.07279.\nAnswer: 1205988543.92721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 8*f - 15. Let t be i(13). Let u = t - 83. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012569 rounded to five decimal places?\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.33396 micrograms?\nAnswer: 8333.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 275.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 not equal to 121755\/3316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:54 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 50. Let u be g(-11). Calculate the greatest common factor of 64 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 6 - 3 - 1 + 0 + f**2. Let m be c(5). Is 6 a factor of (m\/(-4))\/(2\/(-76))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + -76. Let l = 37 + x. Let c = l + 49.0000084. Round c to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/((-2)\/(-21)). Let v(c) = c**3 - 8*c**2 + 8*c - 10. Let b be v(i). List the prime factors of (-87)\/b + 1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617809713?\nAnswer: 13, 124446901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/55 - 6\/11. Which is the third biggest value? (a) -0.4 (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 24*h + h**2 - 20 + 74 - 2*h**2. Let y be v(26). Solve -y*i + 0 = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z + 287 = -145 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(40\/(-112))\/((-190)\/798).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -86\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8312 - -7819. Is p > -494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143424 (base 6) to base 11.\nAnswer: -a387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + 9 = 37*a. Sort -3, -2, a, 2.\nAnswer: -3, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let m(f) = -f**3 - f**2 - f + 5. Calculate m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3727 - 3631. Calculate the remainder when b is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168974636 to the power of 1\/2, to the nearest integer?\nAnswer: 12999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 30. Let b = 56 + x. Let o = 136 - b. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 783 + -777. Let f be 4\/14 - 24\/(-14). Suppose -c = -k*g + 3*g + 220, -f*g + 142 = -3*c. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*c**5 - 44*c + 2.\nAnswer: 4140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 115.566?\nAnswer: 23.1132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.0044?\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 11192102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2. Let f(t) = -77883*t. What is f(h(d))?\nAnswer: 77883*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.154 - -41.846. Which is the biggest value? (a) 3\/5 (b) 3 (c) u (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14638 = 113*g + 8*g - 1697. Calculate the remainder when g is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 5*k**2 + 5*k - 2. Let s be n(4). Let u = -548 + 555. Suppose -s*l = -u*l. Solve l = 2*v - 0*v + 4*h, 4*v + 5*h + 6 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 + 4*p**2 + p - 2. Let f(i) = 7*i**3 - 7*i**2 - 2*i + 4. Let h be -10*(3\/6 + -1). Let q(z) = h*b(z) + 2*f(z). What is the units digit of q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l**3 + 3*l**2 - 3*l - 2. Let a(v) = -16*v**3 + 4*v**2 - 4*v - 3. Determine 3*a(f) - 4*m(f).\nAnswer: 16*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(8)\/sqrt(4) + (sqrt(8)\/sqrt(4) + 0)**2.\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -107900 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*d**2*h*y + 9199*d**2*y + d**2 + 261257*h*y - y wrt d.\nAnswer: -26*d*h*y + 18398*d*y + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.49 * 0.1.\nAnswer: -1.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (((-57)\/(-2))\/3)\/(1\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58444685*y**2 - 228058172*y wrt y.\nAnswer: 116889370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 4. What is h(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 626*d + 2. Let l(b) = 3*b**2. Give w(l(h)).\nAnswer: 1878*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 - 266*k**2 - 268*k = 0.\nAnswer: -1, 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77202, -77198, -77194?\nAnswer: -77190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 + -243. Let c be y\/(-9) - 3\/9. Calculate the highest common factor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2203*l + 100 = 2213*l. Calculate the least common multiple of l and 215.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 259333461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26b8694 - 1?\nAnswer: -26b8695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*b. Suppose -n + 0*n + 4 = -k, b = 5*k - n. Suppose 6*t = 7*t. Solve -r + t*r = -k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 474*r - 5768. Give j(13).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 143*h**2 + 91*h + 91. Let q(b) = 8*b**2 + 5*b + 5. Determine -91*q(o) + 5*y(o).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 174\/54 + 2\/(-9). Let j = 5 - c. Is j + -3*(-4 - -3) + 764 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 2*a + a)*(2 - 2*a - 2) + (16 + 17 + 18)*(-3*a + 3*a + a)*(-3*a + 3*a + a).\nAnswer: 61*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 4. Let r be q(7). Let i = -15 - r. Let p(o) = -2*o + 2. What are the prime factors of p(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3265, -3309, -3415, -3613, -3933?\nAnswer: -4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 37, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**0*a*a)\/a)\/a*a\/(a\/((a**(-5\/7)\/a)\/a))*(a**(1\/21)*a)\/a*a**(11\/4))**(-5\/8) assuming a is positive.\nAnswer: a**(-65\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -23 - 1. Let k(j) = -j**2 - 23 + 22 + 2*j**d + 2*j - 3*j**3. Give k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v - 533. Let b be s(-74). Solve -b = c - 502 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-15) - (-8)\/(-10). Suppose 4*t = 3*t - 2*w - 2, 2*t - 4*w + 20 = 0. Let c be 52\/(-2)*3\/t. Solve 3*d = -6, d = 3*m - y*m + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (20 + 3 - 12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 27. Let i be x(15). Let j be ((-31)\/3)\/(i\/45 - 0). Calculate the highest common factor of j and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 5*n = -0*p - 22, -2*p - 5*n = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -229\/8454303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010011000111 (base 2) in base 9?\nAnswer: -142602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 453\/(-18) + (-3 - 297\/(-162))*-1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/1330 and 9\/10.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21273 by -7091.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -4. Suppose 0 = -q*a + 22 + 42. Solve 0 = 5*n + 2 + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-7)\/3)\/((-89145)\/(-93390))\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p - 2. Let c be h(6). Solve c*l + 6 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from bbnnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -36*v**7\/35 - 3*v**6\/25 + 69*v**5\/25 - 17*v**4\/30 - 44*v**3\/15 + 12*v**2\/5 - 34*v. Determine d so that h(d) = 0.\nAnswer: -1, -3\/4, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24158 or 24156?\nAnswer: 24156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155841 and 12423.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278509 and 5461.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160247 = 390*k + 3723*k - 11183 + 89490 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 + 60 = 0. Let n be (-9)\/15 + l\/15. Suppose -3*x = -2*m - 1, -3*x - x + 2 = -2*m. Is m equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(128))*2 + -4 - -2*(sqrt(128) + (sqrt(128) - (sqrt(128) - sqrt(128)*-1)**2))*-1).\nAnswer: -4088 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34374 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyj when three letters picked without replacement from qjjqqqjy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-60) + -8 + (-124)\/(-8) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60453.\nAnswer: 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-60)\/(-9))*(-12)\/56. Let g = q + -3929\/42. Let r = g + 94. Which is the nearest to -2? (a) r (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**6\/75 - 11*b**5\/30 + 8*b**4\/45 + 4*b**3\/5 + 1018*b. What is t in o(t) = 0?\nAnswer: -2\/3, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*o*p**2 + 7*k*o - 9*k - 3*o*p**2 + 2*p**2 + 48*p wrt o?\nAnswer: k*p**2 + 7*k - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*o + 6262, -3*o + 28 = 13. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 9*b + 12. Suppose 0 = -0*s + 5*s - 100. What is the lowest common multiple of s and p(10)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-665)\/(-25) + 2\/5. Let v = h + -16. Calculate the greatest common factor of 33 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u, -3*u = -3*q - 75670 + 245722. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j**2 - 1. Let v(r) = -2*r**3 + 5*r**2 + 8. Let f be (-6)\/((-1 - -4)\/3). Let t(h) = f*i(h) - v(h). What are the prime factors of t(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2770484 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.601897 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, -14, -3, 16, 84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -7.6. Suppose t + 6 = -2*t. Let u be (t + (-9)\/(-4))\/(56\/(-64)). What is the closest to u in 1, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 2, -5, -9, -2, 4.\nAnswer: -52, -9, -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 111*g + 329. Determine r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + sqrt(720) + -5 + sqrt(720) + sqrt(720) + sqrt(720) + 0 + 0 + -3 + 4*(sqrt(720) + -1) + sqrt(720))**2*1.\nAnswer: -2304*sqrt(5) + 46224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3690 and 1623190?\nAnswer: 14608710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**2 + 0 - 1\/6*y**3 + 4*y. What is j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h - 8*h**2 + 51*h + 11*h**2 - 26*h - 5*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 653326446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*v + 10*z, -4*v + 34 = -3*z + 57 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 29 + 7 = 0. Suppose 13*l - j*l = 8. Solve 2*r + 16 = -l*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 - -401. Let y = f - 635.00283. What is y rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279960252 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-396)\/440)\/(3\/5))\/((-102)\/2584)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = 3*m + 3, -2*l = 5*m - 2. Suppose 2*p + 3*t = 18, 0 = 2*p - m*p - 4*t - 4. Solve -3*z - 2*z + 6 = 3*x, 0 = x + 3*z - p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 7*w - 4. Let h be x(6). Let c be h - 2 - 0 - -2. Suppose -3*g - 336 = -3*z - 381, 0 = 3*g + 4*z + 25. Solve g*u - c = 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/28)\/((-2)\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j)**(-22)\/((j*j**(-18))\/(j*(j*j**(-16)\/j)\/j)) assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 92 - 108. Let z(u) = 2*u**2 - 35*u - 30. Is z(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.01794 (b) 3\/2 (c) 4 (d) -26 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26849\/15 - -1790. Let g(s) be the second derivative of s**2 + 1\/3*s**3 + q*s**6 + 0 + 20*s - 1\/3*s**4 - 1\/5*s**5 + 1\/21*s**7. Factor g(h).\nAnswer: 2*(h - 1)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.7 - -9.7. Let s = -1.9 - -2. Which is the second smallest value? (a) 5 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmj when three letters picked without replacement from jjjsmofmjmmjjjf.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let w(r) = 7*r**2 + r - 1. Let f(u) = 6*d(u) - w(u). Let z = 9 - 10. Let s be (-46)\/12 - z\/(-6). Give f(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -0.1.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/(-162)*-9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*y - 2 = i, -i - 2 = 3*y. Let n = -138 + 127. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 117 = -17*i + 41*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 561 + -564. Suppose 2*t + t - 9 = 0. Let h(w) = w**3 - 2 + t*w + 4*w**2 + 0*w**2 - 1. Determine h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*w + 1\/3*w**4 + 2\/3*w**3 - w**2 - 4\/3.\nAnswer: (w - 2)*(w + 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1016 - -1016. Sort r, 1, 6, 5 in descending order.\nAnswer: 6, 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*k**2 + 406*k - 12 - 406*k + (-2 - 2 + 6)*(-3*k + 3*k + 2*k**2) - 3*k**2 + 3*k**2 - k**2.\nAnswer: -16*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) - -1*sqrt(60))*-6)\/(sqrt(55)\/sqrt(99)))**2 - (-4 + 1*sqrt(243) + sqrt(243)*2*6).\nAnswer: -117*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1243574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11041323 (base 5) to base 9.\nAnswer: 156281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 23*h**5\/60 + h**4\/6 - 7*h**3 + 26*h**2 - 3*h. List the prime factors of b(5).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16768*s + 1173764. Calculate r(70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -q, 3*w + 2*q = -0*w + 13. Let p(v) = -3*v + 3*v**2 - v**w + 0 + 1 + 2*v. Let g = 4 - 1. Calculate p(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 7*s**2 - 8*s - 6. Let g be 3*4\/12 + -7. Let x be q(g). Suppose x*o = o. Solve -2*z - 4*f - 10 = o, 4*z + 3*f = 4 + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 126178*q - 378486. Calculate g(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 100, 86, 62, 28, -16?\n\"Answer: -5*t**2 + t + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50898*k + 17559*k - 27259*k - 381679*k - 4.\nAnswer: -442277*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210844441?\nAnswer: 53, 3978197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4127*g**2. Let b(s) = -8*s. Determine z(b(w)).\nAnswer: -264128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from xvvxxvvxvv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**4\/6 + 23*o**3\/6 - 7*o**2\/2 + 5*o - 65. Determine k(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 18 - 8)*(2*c - 2*c - c) + (-c + 2*c + c)*(-5 + 5 - 2) to the form l + n*c and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 9. Let k be q(-11). Let d = k + 44. Let t = d - 6. Solve 5*g - 4*n - 20 = 0, -6*g + 5*n + t = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133266 + 6773?\nAnswer: 141150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 0*z + z)*(0*z**2 + 3*z**2 - 2*z**2) - 2*z**3 + 4*z**3 + 0*z**3 + 2*z**3 - 4*z**3 - 4*z**3 + (3*z**2 + 0*z**2 - 5*z**2)*(3*z + z - 6*z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-6)*(-216)\/45 and -55\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(190)*3*6)\/(sqrt(1440) + sqrt(1440) + -1*sqrt(1440)))**2 + 1).\nAnswer: -175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -121784, -121775, -121766?\n\"Answer: 9*i - 121793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1 + (-1260)\/(-1257)). Let g = a + 11738. What is g rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -19, 2, -0.05, -1.9 in decreasing order.\nAnswer: 2, 0.4, -0.05, -1.9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*((p*(p*p**(-4))\/p)\/p)\/p*p)\/((p**(-3)*p*p)\/p)*p\/p**(-4)*p**3 assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 85. Let r(s) = -15*s + 204. Let g(h) = -12*b(h) + 5*r(h). Let y(n) = 2*n - 1693. What is y(g(j))?\nAnswer: -6*j - 1693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -737 smaller than -739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 14*g + 1. Let m be u(2). Let d = m - 14. Suppose -f = -2*y - 1, 5*y + 4 = f + d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(-7)\/(h**(-15)\/(h**(1\/4)\/h)) assuming h is positive.\nAnswer: h**(227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27*29736\/4130)\/((-4)\/(-170))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40804741199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 101 = -u - b, 0 = -5*u + 2*b + 23. Solve 2*g + 124*y - 119*y = 25, u*y - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrugbgbuninrbiii. What is prob of picking 1 b, 1 n, and 1 u?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252934 is divided by 511.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 - (3 + (-81)\/12). Suppose -2938 + 406 = -s*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287459*g + 47 + 34911*g - 47.\nAnswer: -252548*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l**3 - 5*l**2 + 8*l + 3. Let x be k(-4). Is 0 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7331 - 0.488. Let b = u + -0.25. What is b rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(832) + 0) + -2.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)\/((s\/(s\/(s*s\/s**(-1\/8))))\/s)*(s\/s**(3\/5)*s*s)**48 assuming s is positive.\nAnswer: s**(4323\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121484?\nAnswer: 2, 3, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -380\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6, 30 - 10 = 2*k + 5*w. Suppose v - 40 = p - 2*p, -k*p + 3*v + 192 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3079.9998379 - -3080. What is s rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1588 rounded to 2 decimal places?\nAnswer: 3.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqk when three letters picked without replacement from ctckkkq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 2*n**2 + 4 - 4 + 2*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1a69ac?\nAnswer: -1a69ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 379 (c) -1312 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 47*x - 6092. Calculate y(130).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 70 = -5*s, -8*s - 2 = -t - 4*s. Suppose 48 = 10*y - 5*y + 2*h, -6 = 5*y - 4*h. What is the least common multiple of y and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**3 + k - 2. Let c(g) = -33*g**3 + 321*g**2 + 1141*g + 983. Let i(b) = c(b) + 4*h(b). Factor i(z).\nAnswer: -(z - 39)*(3*z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.727 and 2331 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4909.3 + 6?\nAnswer: -4903.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-12)\/8)*(-4)\/5. Suppose -4*f - r = -61, 4*f - 4*r - 71 = -7*r. Calculate the remainder when 684\/14 + m\/14 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(-144)\/(-192)*-20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466516 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 15 - 219. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(2\/6). Let v = 153\/2542 - -3\/82. Let n = v + -114\/217. What is the nearest to -1\/2 in n, l, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6136*g**3*v**2 + 2*g**3*v + 2462*g**3 + 130*g**2*v**2 - 10*g**2*v - g**2 + 2*g*v**2 + 3*g - 1012 wrt g.\nAnswer: 36816*v**2 + 12*v + 14772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*k**3*n - 11362*k**3 + 7*k*n + 5*n - 63 wrt k?\nAnswer: -384*k*n - 68172*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-15))\/((-2)\/6). Let r(x) = -x**3 + x**2 - x + 1. Let h(a) = 3*a**3 - 7*a**2 + 8*a + 1. Let m(z) = -h(z) - 4*r(z). Give m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 2:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8376489 equal to -8376489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-8) + 0)*(-11040)\/90. Let b = d + -132. Calculate the greatest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7157.86997 + 7158. Let w = u - 0.131. What is w rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20*w. Let i(q) = 144716*q**2 + 28. Calculate i(o(f)).\nAnswer: 57886400*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 68. Calculate k(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 5. Let v be p\/10 + 18\/(-5). Let r be (4\/(-8))\/(1\/v). Let h(o) = o**3 - 3*o**2 + o + 2. Give h(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 2 - 2 + 3*c - 3*c + 2*c + (0 + 1 - 3)*(-3*c + 2*c - c) - 11*c - 48*c - 27*c)*(-3 + 0 - 1) - 2*c + 3*c + c as g + s*c and give s.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 255 = -5*b, 0 = -2*b + 2*t + 45 + 55. Let k(m) = 2*m**3 - 2*m**2 + 2*m + 2. What is the remainder when b is divided by k(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2676423835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*2\/8)\/2*8\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*(-6)\/((-486)\/45)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 3:49 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -7. Find the common denominator of (q\/60)\/(12\/(-410)) and -73\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m**3 + 0*m**4 + 0 + 1\/120*m**6 - 10*m**2 + 0*m + 1\/60*m**5. Determine v, given that l(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*((-2340)\/(-25))\/(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**4 - 41*n**4 + 16*n**4)*(-3 + 4 - 2) + (-3*n**3 - 3*n**3 + 2*n**3)*(0*n + n + n) in the form d*n**3 + q + h*n**2 + b*n + t*n**4 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 46 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -17514930, 2\/17?\nAnswer: -17514930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-24))\/(26\/(28080\/243))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 46\/102. Suppose 5*w = -z - 9, -5*w = -5*z - 1 - 14. Is w less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*c + 6. Suppose -c*v = -0*v. Suppose v = 5*t - 0*k - 5*k - 145, 0 = -4*t + 3*k + 117. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -7 (c) 1 (d) 30\/19 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 32888736.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54332*a + 35182 = 55050*a for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + 26. Let y = -229 + m. What is the closest to 2.8 in y, -2\/5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 7*m**2 - 10*m + 2. Let l be t(-5). Suppose l*u = -3*q - 8, 4*u + 6 = -2*q - 2. Which is the third smallest value? (a) q (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92226846*n**3 + 479744*n**2 + 9?\nAnswer: 553361076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170100 and 63450.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00245581 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a week in minutes?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25907999 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10*p + 9*p = -115, -w + 57 = 7*p. Which is the nearest to -20? (a) -0.2 (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 4. Let y be p(0). Suppose -23*h = -25*h - 80. Let a = 51 + h. Solve y*b = a + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*c + 4*d + 17, -2*c = 3*d - 15. Let t(k) = 15*k - 86. Determine t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-1 + 28\/6). Let n be (12454\/39 - 2\/(-3)) + 1. Let d = n - 277. What is the highest common factor of d and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {i: 1, t: 1, y: 1, s: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 5. Let b(m) = m + 3. Suppose 0 = -5*z - t + 54 + 16, 4*z + t = 57. Let p(r) = z*b(r) + 6*u(r). Give p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11358 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, 1 i, and 1 r when four letters picked without replacement from txgir.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23904 and 72112?\nAnswer: 107735328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -12 (b) 1 (c) 4040 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23929893 + 8.152079.\nAnswer: 8.39137793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13321 - -2?\nAnswer: -13315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32093312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/1099 and -33\/7.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -70550*p + 846593. Calculate s(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1973 + 1966. Which is the second biggest value? (a) s (b) 0.3 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 378 = 17*w. Suppose -217 = w*j + 1619. What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51839454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + 3. Let f be (-4)\/(-6)*(4 + 2). Are q and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t**2 + 4*t - 2. Let h(p) = -5*p**2 + 2*p + 2. Let j(g) = 18*g**2 - 9*g - 13. Let y(k) = -6*h(k) - j(k). What is -3*c(u) - 4*y(u)?\nAnswer: -9*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 2. Let r = m - -0.5. Let o = -3\/2 - -3\/4. What is the third biggest value in r, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3473 - -5778. Is -3\/2 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g. Let t be o(-6). Suppose -2*n + 4*n = t. Solve -3*m = -n - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 2.4, -3, 32572?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. Let r be u(-3). Suppose g + g - 4*k - 18 = 0, -g - r*k + 14 = 0. Suppose -g*y = -15*y + 80. Solve -4*s = -2*h + 14 - 6, -4*s = 4*h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/4255812 and 107\/726?\nAnswer: 4255812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 12 + 4 - 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 9*d + 1. Let r be t(-9). Sort 5, -5, r in ascending order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -631*h + 17. Let b be n(-1). Let p = 169 - 97. What is the highest common divisor of b and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 36 - 121. Let n be (-1)\/(18\/(-40)) + (-48)\/216. Suppose -u - 2*u = n*f - 527, -u + r = -4*f. Is 34 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**2 + 3*v + 9. Let o(r) = 10*r**2 - 4*r - 13. Let i(y) = 5*o(y) + 7*w(y). Let a be i(0). What is the tens digit of (-3 - 3)*4\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5219*x - 4637*x + 2552*x. Let l(p) = -p. Calculate l(h(k)).\nAnswer: 7304*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.6606nm to meters.\nAnswer: 0.0000009166606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -15, -26, -37?\n\"Answer: -11*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -589*g - 9263. Calculate m(-16).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 - 12330133?\nAnswer: -12331102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + k + 18 = -33, -4*p - 2*k - 68 = 0. Let w = -43 - p. What is the least common multiple of 3 and (0 + 2 - w) + (-36)\/(-9)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95 and -0.0264.\nAnswer: -2.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 76794784 divided by -1\nAnswer: -76794784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451040956.\nAnswer: 2, 197, 572387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64588 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -6, -29, -74, -147, -254, -401?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 928353282*c**3*w**5 + c**3*w + 6*c**3 + 129*c**2*w**2 - 533*c*w - 6 wrt w.\nAnswer: 55701196920*c**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 1033*d**2\/3 + 9230*d\/3 - 14336\/3.\nAnswer: (d - 1024)*(d - 7)*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 25 = -a, -6*i - 4*i + 0*i + 91 = 3*i - 2*i - 15*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -2*d + 72, 5*u = -5*d + 155. Suppose 5*a - p - 86 = 0, 4*a + 3*p - 122 = -38. Calculate the remainder when d is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/516738 and -17\/19408.\nAnswer: 4133904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 414311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-9 - -37)\/(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*u + 33. Suppose 2*x = x. Suppose x = a + 2*b - 11, b = -4*a - 2*b + 19. What is the highest common factor of u and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 + 51*p**2 + 27*p + 32. Let u(j) = j**3 + 8*j + 3. Let g(a) = -q(a) - 3*u(a). Calculate g(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - s + 493 = 0, c + 0*s + s = 163. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 * 25032.1\nAnswer: 1101412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 285352 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2687*i - 9761*i + 4394*i + 2683*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36159960*u - 1961 = 36159907*u for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d + 2*i - 80, -4*i - 50 = -2*d. Suppose -9*y + d = -2*y. What is the second derivative of 4*q**4 + y*q + q - q wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -19c08d?\nAnswer: 19c091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3)*1*-6. Suppose 2*y + 6 = n - 0, -4*n + 12 = -x*y. Suppose 0 = -3*k - n*z + 35, 6*z - 5*z = 1. What is the remainder when 30 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) -5 (c) 71 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*g + 0*g + 14 = 0, 0 = -p - 2*g + 6. Let q be 2\/(-4) - 7\/14. Let a be q\/1 + (-132)\/(-4). Calculate the greatest common divisor of p and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3052 is divided by 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -31*f**4\/12 + f**3\/3 + 533*f**2\/2 - 509*f - 2. Differentiate j(i) with respect to i.\nAnswer: -62*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/8)\/(-4 + 12). Let a(c) be the first derivative of 1\/12*c**3 - 5 + 3\/4*c + b*c**4 - 5\/8*c**2. What is j in a(j) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75481*b*j**2 - b + 2387*j wrt j.\nAnswer: -150962*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:20 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/((-55)\/(-1280)) - -9. Let q = 1147 - w. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1341 + -44255\/33. Which is bigger: n or -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 + -4.72. Let f = -583 - -1885\/3. Let x = -45 + f. What is the nearest to x in t, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 91. Let h = x - 57. Let q = -0.2 + 0.2. What is the second biggest value in q, h, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-8 + -2 + 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 814121227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a - 82*a**2 - 80*a**2 + 169*a**2 - 18*a in the form g + x*a + l*a**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 121*m**3 - 1606*m**2 + 6784*m - 6144.\nAnswer: -(m - 2)*(m + 32)**2*(2*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + l = 1, -4*g - 9 = -5*l - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**50*(d*d**(2\/31))\/(d*(d**4\/d*d)\/d))**(1\/46) assuming d is positive.\nAnswer: d**(-433\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.11? (a) -24 (b) -12\/13 (c) 4 (d) -2 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**22)\/((i\/(i*i*i*i**(2\/39)))\/i*i))**(-7\/6) assuming i is positive.\nAnswer: i**(2450\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2096.452 weeks to microseconds.\nAnswer: 1267934169600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppoppwnwnwzpwn. What is prob of picking 1 w and 1 p?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/60)\/(1\/(-3)). Let j be y\/((-5)\/100*-5). Suppose 35 = 5*v - 5*w, -14 = -j*v - 4*w + w. Solve 4*m = -5*g + 1, g + g = v*m + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.038\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 7*u - u + 5. Let k be h(-7). Find the common denominator of k\/6 + 712\/144 and -75\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjpmjmjmmjmjp. Give prob of picking 1 j and 2 p.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.16, -33, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 2. Let k be f(-5). Let l be (-1 - 1)\/(k\/24). Solve -2*n + 4 = 4*w, -3*w + 12 = -l*n + n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 21*a**2 + 21*a + 30. Let k be r(-22). Calculate the greatest common factor of k and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -5*x + 8, 4*c - 16 = 0. Let j(p) = -p**2 + x + 1 + p + 1. Determine j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + 2*d**2 + 3*d**2 - 3*d**2 - 6*d**2. Let q(x) = -7*x - 210 - 15*x + 210. What is q(n(w))?\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18189705 divided by -235\nAnswer: 77403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.0126 - 0.2.\nAnswer: -120.2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 5*j**2 - 2*j + 2. Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 140?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c + 91*c**4 - 103*c**4 + 47*c wrt c?\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g + 7. Let k(w) = 30*w - 30. Let b(t) = 3*t - 3. Let n(i) = -21*b(i) + 2*k(i). What is 5*n(o) - 2*r(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/39 - 14\/(-6). Suppose -6*y + 2*p = -q*y - 16, y - 22 = 4*p. Let v = -1.96 + -0.04. Which is the closest to 0.1? (a) y (b) v (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 500.8561 to 1 dp.\nAnswer: 500.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203410 - -34237. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13355 - 293719\/22. Let i = -517641 - -31060507\/60. Let h = -604\/15 + i. What is the common denominator of z and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 34 - 342*i**2 - 72 + 196*i**2 + 199*i**2.\nAnswer: 53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(k**2 - 5*k**2 + k**2)*(-3*k**2 - 5*k + 5*k) + 2*k**4 - 2*k**4 + k**4.\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i**3 + 2*i**2 - 2*i**3 + 3*i - 4*i in the form z*i**2 + j*i**3 + b + f*i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-25)*(35\/10)\/((-1120)\/(-200))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3234 + -2?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47103 - -2?\nAnswer: -47101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d + 4. Let g be s(-5). Let t be (-4)\/18 + g\/18. Suppose t*u - 15 = -5*u. Sort u, -2, 2 in decreasing order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231374586 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -4. Let a(r) = 606*r**2 - 3*r + 2. Let p be a(q). Round p to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.379 - 0.139. Let j = r - 1.26. Let f be (-1 + 4)*(-2 - -1). What is the second smallest value in f, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6996 divided by 318?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*4*(sqrt(720) - (sqrt(720) + -1 + -5))*6)**2.\nAnswer: 746496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30293\/1653 + 4\/551. What is the common denominator of 37\/3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 2376*t**3 - 19 + 2365*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1012+-340\nAnswer: -339.8988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + (20 - (10 + (16 - 6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 0, 32, 1, 3 in decreasing order.\nAnswer: 32, 8, 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/12 - m. Let r(u) = -4*u + 3. Let f(b) = 15*b - 11. Let h(z) = 6*f(z) + 22*r(z). Give h(q(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -24, -2\/13 in descending order.\nAnswer: 0.4, -2\/13, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5992\/151 (b) -3 (c) -2\/3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 296 and 4995.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1375968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, -2\/11, 1482, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 + 0.251677?\nAnswer: 442.251677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814860 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, z: 2, r: 5, y: 3, a: 4}. Give prob of picking 2 a, 1 y, and 1 z.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2552 + 1609 = 0. Suppose 4*m + v + 1853 = 0. What is m rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1227*z - 1253*z + 26 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.205 months in millennia?\nAnswer: 0.00043375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13313, -28087, -42861?\n\"Answer: -14774*v + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 + 7*p**5\/30 - 11*p**4\/8 + p**3\/3 + 4*p**2 - 80*p + 6. Give q(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -360, -811, -1442, -2253, -3244?\nAnswer: -4415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 295 + -237. Suppose -11*n + 12*n = c. What is the remainder when 165 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42035958311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000111000001 - 1011?\nAnswer: -1111000111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by -4.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(-3*j + 5*j**4 + 2*j - j).\nAnswer: 5*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-45))\/((-1078)\/(-441))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/3 + 9*s**2\/2 + 3*s. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*i**2 - 8\/5*i - 6\/5 = 0 for i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -601*a**3\/3 + 885*a**2\/2 - 180*a. Differentiate s(t) with respect to t.\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.49 + 1.19. Let i = -599 + 593.2. Let t = v - i. What is the second smallest value in -5, -1\/3, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 14. Let n be h(-4). Let i be (-2)\/(-2) - (n + (-11)\/9). Let y = -2\/57 - 17\/57. Which is the second biggest value? (a) 2\/15 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/39 - 14\/195. Let w(r) = -r**3 - 23*r**2 - 2*r - 41. Let g be w(-23). Let l be (-1)\/2*(-8)\/(-5). Which is the nearest to 1\/3? (a) l (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1292.1 (c) -340 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 22 = 18*u + n - 2*n + 16, -n + 3*n = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -63*b**4 + 6458*b**3 - 15868*b**2 + 6808*b - 800 = 0.\nAnswer: 2\/9, 2\/7, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.34 + 1.66. Let c = -65.7111 - 0.2691. Let o = m + c. Round o to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016859785 to 5 dps.\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 + 4*q**4 + q**3 + 2 - 2*q + 3*q + 2*q**2 + 2*q**2 as l*q**4 + m*q**2 + o*q**3 + c + f*q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 1. Let b be y(5). Let o(l) = l**2 - 3*l + 4. Let k be o(3). Suppose -k*c = -8*c + 4. Solve 5*x + 3*n = -c - 8, -3*x - b = 2*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 8\/213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3*57\/(-18)*(-2)\/(-1))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let w(m) = 4*m**2. Give v(w(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*203\nAnswer: -345.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*z + 130*z - 2*q = 14, q = z - 6. What is the closest to 2\/5 in z, 0.5, 106, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 311 - 621\/2. What is the closest to -3 in z, 3\/2, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/15 + 2*j**2. Let r(c) = -13*c - 3*c + 0*c. What is z(r(m))?\nAnswer: 1024*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*z - 2, 2*q + 5*z - 1 + 2 = 0. Solve -3*k - q = 2*y - 5, -4*k = 4*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 22*o**2 - 19*o - 36. Let u be z(21). Suppose 2*x + 16 = 4*q, -5*x = -u*q + 3*q - 2. Suppose -q*r = -r - 220. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000428 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*22 + 90\/315?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -7*o**5\/60 - o**4\/24 + o**3\/3 + 3*o. Let z(n) be the second derivative of p(n). Does 4 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4\/3 - 51990*v**3 - 5*v**2\/3 + 51990*v = 0. What is v?\nAnswer: -1, 0, 1, 31194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 26 = 2*y, j = -3*y - 12 + 31. Let o be 0 - 4 - (3 - 3). Sort 0, 1, j, o in increasing order.\nAnswer: o, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/2 - 1720557*v\/2 - 46456497 = 0. Calculate v.\nAnswer: -54, 1720611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 13 + 2. Suppose 5*x - 2*x - 145 = -i, -3*i = j*x - 243. Let w be 2496008\/x + 2\/(-12). Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*f + 292*f - 162 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - r = 0, 0*r = -5*r. Suppose 29815 = 5*m + o, 10*o - 8*o = 4*m - 23866. Let c be m\/(-1932) + 2\/23. Sort 4, 1, c, n in descending order.\nAnswer: 4, 1, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) -2\/3 (c) 10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/15)*i*i*i**(-6\/17)\/i assuming i is positive.\nAnswer: i**(199\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, 281, -2.9 in descending order.\nAnswer: 281, 5, 2\/5, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*c + 12. Which is greater: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 16 = -2*n + 5*d, n - 4*d - 8 = 0. Let a be (4\/n)\/((-10)\/(-8)). What is the smallest value in -0.2, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92071957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -336\/551371 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449061 - 726659 = -9044*g for g.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21112 + 21101 + 63*v**3 - 42207 - 2*v**2)*(-2*v + v - 5*v)*(-3*v - 3*v + 5*v).\nAnswer: 378*v**5 - 12*v**4 + 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24856.287 rounded to the nearest ten?\nAnswer: 24860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let f(y) = 6*y + 5. Let i(n) = f(n) + 3*t(n). What is the first derivative of i(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -74*s + 6 - s**3 + 2*s**2 - 7*s**2 + 36*s + 41*s. Let x(j) = j**2 - j**2 - 5 - 2*j**2 - 4*j + 7*j**2 - j**3. Let n be x(4). Calculate o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:14 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 8*h. Suppose -4*t - 3*a = h, -5*t - a + 3 + 8 = 0. Solve 5*g + t*k + 24 = -1, -4*k + 15 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5925 and 1575?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69.9 - -34.9. Let k = 105 - x. What is the smallest value in 28, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 21, 1, 2.\nAnswer: -4, 1, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, -17, -35, -4239 in ascending order.\nAnswer: -4239, -35, -17, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -15*n**2 - 3245*n - 1080 = 0.\nAnswer: -216, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 60\/(-4)) + -38.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - 10.2. What is k rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -106\/22575 and 149\/1006200.\nAnswer: 7043400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:32 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 7 + -1 + -4. Sort g, 3, -4, 1, 4.\nAnswer: g, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 400 (c) 0 (d) -1 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/8)*u)\/(u\/(u**1\/u))*(u*u*u*u\/u**1*u)**(-36))**(-13) assuming u is positive.\nAnswer: u**(14989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 14. Sort o, -1\/3, 3.\nAnswer: o, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/2111 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -25, -7\/5, -243?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/5872134 and -127\/6.\nAnswer: 5872134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 2*j - 10*j)*(2*j**2 - 3 + 1 + 0) as i*j**2 + g*j + a + f*j**3 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 11*l + 74. Solve -5 = l*k + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**8\/336 - 2*l**7\/105 + l**6\/30 - 12*l**2. Factor c(a).\nAnswer: a**3*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -187*y + 9913. Let w be d(53). What is b in 9\/8*b + 3\/4 - 3\/8*b**3 + 0*b**w = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5. Let g = -1 - w. Let y = g + 0. Is 0.2 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and -5\/209411.\nAnswer: 1256466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -72960 divided by -10?\nAnswer: 7296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 31*i + 33 + 28 - 20. Let j be f(18). Let h = -78 + j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 0*j**3 + 2*j + 18*j**2 + 6*j**3 - 30 - 10*j**3. Let v be r(18). Suppose -10*u + v*u = -32. Solve -2*n = -0*n - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(55))\/sqrt(5) + (sqrt(99)\/(sqrt(9)*-1))**2.\nAnswer: -3*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-12)\/(-2)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -3, -21, -7, -271, 3 in descending order.\nAnswer: 3, -3, -7, -21, -52, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbwemeebemqbmmmebw. Give prob of sequence bem.\nAnswer: 125\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*p**4 - 6*p**2 + 4*p**2 + 2 in the form w + h*p + o*p**2 + d*p**3 + b*p**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.70269 and 0.2236424.\nAnswer: 13.9263324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 2283*t + 359*t + 1541*t as i + k*t and give k.\nAnswer: 4186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 + 186111*r + 186108 = 0.\nAnswer: -62036, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v - u - 7, -4*u - 10 = 2*v. Let p be -3*(-10)\/6 - -1. Sort 3, p, v in decreasing order.\nAnswer: p, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 8. Calculate the remainder when v is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrluow. What is prob of picking 1 w and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59915 - 59911 - 59917 + 179742 + 19*s.\nAnswer: 19*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2412 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004374 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = b + 5*g - 510, 1202 = 3*b + g. Suppose -2*c + h = 100 - 498, 0 = -2*c - h + b. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*((2 + 16 - 3)*(9*c + 0 + 0) + 4*c - 5*c - 4*c).\nAnswer: 390*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -5, 1 in increasing order.\nAnswer: -119, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1333, 3601, 5867, 8131, 10393, 12653?\nAnswer: 14911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2148288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20391\/2503 or -8?\nAnswer: -20391\/2503","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/13, -29938, 0.2?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 3*m + 3 + 8*m**2 - 1. Let u be z(2). Suppose u = w - 8. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:00 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.64 + 89.36. Which is greater: -1.5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -253 (b) -3 (c) -32924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7923.5 kilometers in meters?\nAnswer: 7923500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 20, 32, 58, 104, 176?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 2, 12, 26, 44, 66?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 1192.\nAnswer: 44104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + f = 4*f - 12, 0 = 4*m + 3*f - 12. Let q = m - 0. Differentiate 3*d + q - 5 - 5*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25 + -7)\/8 + 31 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1546*x - 9311. What is w(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3185, -3176, -3161, -3140, -3113, -3080?\n\"Answer: 3*t**2 - 3188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 + 0)*1. Let l be (k - (-5 - 1)) + 1. Let y(m) = -m + 12. Is y(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, -0.05, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, o: 3}. What is prob of sequence oi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32936941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -700.0973 - 0.5027. Round t to the nearest 10.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97399*g**6 - 65254*g**2.\nAnswer: 11687880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 19, 5 in descending order.\nAnswer: 33, 19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 24*j**2 - 4 + 19 - 57*j - 6 + 136*j + 13. What are the prime factors of c(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -63 - 73 - -47.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 33 = -5*z, -20 = 4*z + 4*q + 15*q - 24*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (26 + -1 - 13) + (-5 - 3) + (2 - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/(-255)*5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1341*w**3 + 1201 wrt w.\nAnswer: 4023*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.08 + 0.03. Let g = y - -5.25. Which is the fourth biggest value? (a) g (b) -3\/5 (c) 266 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - -111122?\nAnswer: 112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11340 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 3*o + 78. What are the prime factors of i(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - u**2. Let g be z(1). Let t be (-3 - g)*-1 - -3. Suppose -48 = -4*x + t*x. What is the highest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*j - 64*j + 17*j - 62*j + 26*j to the form l + i*j and give i.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -7*m**3 + 0*m - 21*m**2 + 0 - 1\/3*m**4 + 1\/30*m**5. Factor d(w).\nAnswer: 2*(w - 7)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 9 = -78 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*q**2 + 125*q**2 - 1 + q - 69*q**2)*(-1 + 1 - q**2).\nAnswer: 20*q**4 - q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(1088) - (2 + 3*sqrt(1088))**2) + -4)*-2.\nAnswer: -39184 - 352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000578815337 rounded to 6 decimal places?\nAnswer: -0.000579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 8 + 520*g - 528*g + g**2. Let y be -6 + 1 + (-6)\/3. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4157 + 0.6157. Which is the closest to 2\/3? (a) -3 (b) 0.02 (c) h (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -2\/77 (c) 138\/17 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69986821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 146130 divided by 29226\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 16. Let a(q) = -3*q + 2. Calculate the remainder when 4\/(3*6\/261) is divided by a(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2123, -4158, -6189, -8222, -10263, -12318, -14393, -16494?\n\"Answer: -o**3 + 8*o**2 - 2052*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 24408*n - 74468808.\nAnswer: -2*(n + 6102)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 154. Let x be l(30). Does 46 divide -4 - (x - (603 + 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 705.5 + -706. Let i = 10 + -5. Which is the nearest to -5\/4? (a) 1\/3 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 13*y**2 + 778*y - 5469. Determine b(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -865*m + 25964. Calculate j(30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 5*m - 4. Let a be c(-4). Let u be a - -13 - -2*1. Solve 3 = j + 5*i - 8, 2*j + u = 5*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrtrrrttrrrrr. Give prob of sequence tt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5970\/(-4))\/((-3)\/14).\nAnswer: 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187545 and 12717.\nAnswer: 795003255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 0) + 26 + 4 + -3. Suppose 9*f - 2436 = -y*f. What is the remainder when f is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4218 - 4218. Sort -1\/37, -5, 4, q in descending order.\nAnswer: 4, q, -1\/37, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -915*b + 1828*b + 48*b**2 - 912*b. Let g(r) be the first derivative of r**3\/3 + 118. Calculate g(i(z)).\nAnswer: 2304*z**4 + 96*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108174, 432739, 973680, 1730997?\nAnswer: 2704690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(8) + -3)**2 + -1 + sqrt(117) - -4*((sqrt(156)\/(sqrt(12)*-1))**2 + -2).\nAnswer: -3*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**10\/x*x)\/x*x))\/(x*x**4*x))**(2\/25) assuming x is positive.\nAnswer: x**(-32\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(2\/5)\/l*l*l)*l)\/l)**15\/(((l*l**(-4)*l)\/l)\/(l*l\/l**(3\/5))) assuming l is positive.\nAnswer: l**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2445, -2162, -9831, -20562, -34355, -51210, -71127?\nAnswer: -94106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469290936 to the power of 1\/3, to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.072 - 0.928. Let y be 5\/4 + -2 + 1 + -1. What is the nearest to y in -2\/7, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -6. Solve 5*v = 3*g - 19, -4*v - w = -g + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3\/3 - q**2\/2 - 2*q - 22. Suppose -6 = -3*j - 0. Let m = j - 2. What is f(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from {e: 1, g: 2, l: 2, z: 2, r: 1, n: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494964 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t*t**(-5))*(t**(-1\/2))**(-11\/4))\/((t**1)**(2\/41)\/((t**(1\/6)\/t)\/t**(-8))) assuming t is positive.\nAnswer: t**(11309\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.855803 from -0.5.\nAnswer: 29.355803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15660 and 12.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 210, 600, 1368, 2640, 4542, 7200?\n\"Answer: 21*f**3 - 9*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/4*52\/130. Let z = 9 + -7. Let u = z + -3. Are f and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250329471 divided by 1\nAnswer: 250329471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d**5\/3 + 15902*d**4\/3 + 13545664*d**3\/3 + 5127140608*d**2\/3 + 727137714176*d\/3 - 208172490752\/3 = 0 for d.\nAnswer: -568, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50\/7*114\/(-1425)*-35\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37115973.\nAnswer: 3, 4123997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l + 621. Let w be c(-85). What is the greatest common factor of 6549 and w?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 3*l**2 + 5*l - 4. Let g be 43\/387 + 17\/9. Let o be x(g). Solve -o + 2 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*h - 3*h - 10*h)*(-2*h**3 - 2*h**2 + 2*h**2) - 3*h**3 - 3*h**4 + h**2 - h**2 to f + v*h**2 + n*h**4 + c*h + q*h**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0207683667 to 4 dps.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63460 - -825388\/13. Is 31 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**7\/14 + t**3\/6 - 6*t**2. What is the derivative of w(m) wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 + 96*n**4 - 792*n**3 + 1134*n**2 + 2997*n - 6318 = 0.\nAnswer: -39, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peqplnvq. Give prob of sequence vn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -3*w**5\/20 + 21*w**4\/4 - 147*w**3\/2 + 1029*w**2\/2 + 4105*w. Factor h(u).\nAnswer: -3*(u - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 11 in ascending order.\nAnswer: 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24312 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drydpyygdidygg. What is prob of picking 2 g and 1 i?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 241*f - 241*f)*(-23*f + 16955 - 16955 + 9*f**3).\nAnswer: -9*f**5 + 23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -9. Suppose -39*s + k*s = 60. Let d be s\/15 + 39\/9. Sort d, 2, -5.\nAnswer: -5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1432\/179)\/((-10)\/4*-1)*-5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/3202 + -77646\/8005. Calculate the common denominator of -23\/33 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8758 bigger than -1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8365 + 2371 + 2610 = -6611*k + 124 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8765048 is divided by 634?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1324 and 748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.51 + -0.1251?\nAnswer: -63.6351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-1 + 1 + 7*k)*(75 - 309*k**3 - 75) to the form n*k**3 + i*k**4 + h*k + o*k**2 + b and give i.\nAnswer: -4326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8650000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -716 (base 12) in base 11?\nAnswer: -853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -758 (base 10) to base 16\nAnswer: -2f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 1064705.623?\nAnswer: -1064705.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13695804 divided by 6?\nAnswer: 2282634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 11*y + 67)*((-2*y - 12*y + y)*(-126 + 126 - 11*y) + 1 - y**2 - 1).\nAnswer: 1562*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6)*(-2)\/(-1). Is 25 a factor of u\/(-21) + (-1662)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 0.75, 1, 0.04, -3.4?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Suppose -3*j + f*s + 92 = 0, 4*s - 8 = -24. Let t = j - 18. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*f = 9, 611*h - 533*h = 2*f + 926 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106 by 62.\nAnswer: -53\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -6715.\nAnswer: -2014.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 25. What is the smallest common multiple of y and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 557075 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 32*p**2 + 105*p + 25. Determine z(35).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:01 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 7. Let g = -8 + r. Let s be (-12)\/15*10\/(-18). What is the closest to g in 2\/7, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(16\/((-7040)\/(-99))*4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 593328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -379, -666, -1027, -1468, -1995?\nAnswer: -2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330 (base 9) to base 6.\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = -5*u + 2*r, 2*r - 844 - 18 = -4*u. What is the lowest common multiple of u and 2?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**7\/840 + b**6\/36 - b**5\/12 + b**4\/6 + 63*b**3 - 211. Let f(o) be the third derivative of a(o). Determine f(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*u - 11254 = -145*u - 5*c, 45091 = 4*u + 5*c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdacqkdqkdccm. Give prob of sequence qaq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 7450 = 5*y, 3*y - 2*x - 4451 = 3*x. Let b = -2031 + 2034. Suppose -4*p + y - 243 = c, c = b*p - 928. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 14*f**2 + 849*f + 15309. Calculate r(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -72*p**2 - 5*p - 36. Let g(a) = -396*a**2 - 27*a - 198. Let f(y) = -27*c(y) + 5*g(y). Find the first derivative of f(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/240 and 7\/79872.\nAnswer: 399360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-14 + 3 - 11) + 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16449?\nAnswer: 3, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-3\/11)*h))\/(h*h**(-9\/4))*h**(-4)\/(((h\/h**(-37))\/h)\/h) assuming h is positive.\nAnswer: h**(-1693\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 226. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.7, 0, -0.1 in decreasing order.\nAnswer: 5.7, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3578.\nAnswer: 5\/3578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 91 = n, 2*o + 721 = 743 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = 3*i, 2*i - 39 = o - 41 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1777944*6\nAnswer: 10667664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.11 (b) 0.4 (c) 6 (d) 9 (e) -715\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10)*5) + sqrt(5) - sqrt(45)\/sqrt(576))**2.\nAnswer: 1849\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 5. Let s be v(-10). Let k(p) = -14*p + 32. What is the remainder when k(s) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 22\/(-28))\/((-30)\/(-35)). Let m = -0.65 - 3.35. What is the smallest value in m, -0.3, 13, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -22. Let a(r) be the third derivative of 0 + 0*r**i + 0*r + r**2 - 1\/60*r**5 - 1\/24*r**4. What is the second derivative of a(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 140\/11 and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 6*g**2 - 2*g + 5. Let b be (-6)\/7*(-21 - -14). Calculate h(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3 - 1)\/(456\/56124). Let j = 41 - t. Find the common denominator of j and 18\/5.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/25 (b) 1 (c) 0.5 (d) 1\/5 (e) 70 (f) -1\/1583 (g) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*(1\/(-24))\/(2\/(-16)). Put -4418, -1, -4, u in descending order.\nAnswer: -1, -4, u, -4418","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (237528\/(-39588))\/(1*3\/12 + 1\/(-8))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -429.67 + 430. Sort -4, -0.16, o in decreasing order.\nAnswer: o, -0.16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:17 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121.3083 + 0.0083. Round j to the nearest integer.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2. Let c(b) be the third derivative of 0*b**4 - 15*b**2 + 0*b**3 + 0 + 1\/12*b**5 + 0*b. Give c(f(x)).\nAnswer: 125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(245) + sqrt(245).\nAnswer: -3 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011001001111100100 (base 2) to base 16.\nAnswer: 4593e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5.4. Let k = -8561\/17114 + 2\/8557. What is the second biggest value in -29, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 - 9*q**2 + 4*q + 19. Let p(i) = -i**3 + 5*i**2 - 2*i - 9. Let x(w) = 5*p(w) + 2*r(w). What is the units digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = 9. Suppose 2*g = -g + 6. Let z be (0 + -2)*w\/g. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32919, 65852, 98801, 131766?\n\"Answer: 8*i**2 + 32909*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from oyycyoooyccccc?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.8 and 29?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 14*m + 14. Let x be d(14). Suppose x*k = -650 + 1910. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225 is divided by 206?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 224545 and 0.11.\nAnswer: 24699.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - d - 5 + 10*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5213 greater than -7.604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/(-24))\/(405\/(-1215))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2 + 3*f + 1. Calculate i(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 11*t**2 - 15*t + 33. Let u be o(12). What is the common denominator of (-1)\/3 - (u + (-427)\/(-420)) and -91\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 46. Let n be j(-16). Suppose 2*v - 12 = -5*s, 3*s + n*v + 12 = 4*s. What is the highest common divisor of s and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.51861 weeks in microseconds?\nAnswer: 23296055328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - c = -4*c - 22215, 0 = -3*q + 2*c + 16662. Suppose -13*h + q + 15270 = 0. List the prime factors of (-8)\/10 + (h\/15 - 3).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 2, b: 1, g: 1, x: 2}. Give prob of sequence gl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1688 + -13483\/8. Let b = -780 + 3879\/5. Calculate the common denominator of b and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 10842 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**3*n + 21*a**3 - a**2*o + 8*a**2 + 6*a*n*o + 3*a*n wrt n?\nAnswer: -5*a**3 + 6*a*o + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, t: 1, z: 1, s: 2, h: 2, x: 1}. Give prob of picking 1 s, 1 z, 1 t, and 1 h.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 3*k + 6. Let g be z(1). Let h(a) be the second derivative of 0 - 1\/6*a**3 + a - 5\/2*a**g. What is h(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12115?\nAnswer: 5, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 15, s: 3}. What is prob of picking 2 e and 2 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zzqzzqzqb.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3202 + -31991\/10. What is the common denominator of 17\/115 and q?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136635 is divided by 1051.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 174. What is g(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3177 + 247*s**2 + 3179 + 124*s**2. Let d(y) = 2*y**2. What is u(d(i))?\nAnswer: 1484*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (168345\/203)\/43 - 18\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 25 + -9 + -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o = 87*o - 56*o + 2997 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298874 is divided by 149435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 614165879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2434, 2556, 2768, 3076, 3486?\n\"Answer: n**3 + 39*n**2 - 2*n + 2396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1020799)\/(-48425) + 2\/(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21022002331 (base 4) in base 16?\nAnswer: 24a0bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 84\/(-45))*6 + (-108)\/(-10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 12, -19, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 22 = -8*h. Let z(p) = 8*p + 25. Calculate z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8480?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 596*(-12)\/(-1888). Let i = g + 1885\/11682. What is the common denominator of i and 73\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Let q(l) = l**3 + 12*l**2 + 3*l + 16. Let u be q(-12). Let k be (56\/u)\/7 - 23\/5. Which is the third biggest value? (a) 0.8 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d - 30. Suppose o - 2*a - 2 = -0*o, -o = -3*a + 3. Let w be m(o). Calculate the greatest common factor of 27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clt when three letters picked without replacement from {p: 4, t: 3, l: 1, c: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-2694)\/(-2120) - 3. Let w = m - 17\/53. Calculate the common denominator of 6087\/(-2280) + (12\/19)\/(-6) and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8*j + 4*g + 611 = 0, 1033 = 5*j - 3*g. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 173\/4. What is the third smallest value in 5, 0.5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/137, -5, 4\/9, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 23 - 24*n**2 + 11*n**2 + 12*n**2 - n to the form w*n**2 + x + j*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2148755 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.4, 98 in increasing order.\nAnswer: -4\/5, 0.4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47348665.\nAnswer: 5, 7, 13, 19, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3 = 0, -d + 0 = 2*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/15 + (-84)\/(-705))\/((-1058)\/(-759)). Is 0 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 divided by -16?\nAnswer: -1053\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -1. Find the third derivative of -5*t**2 + t**2 + 5*t**5 - b*t**5 wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 6. Suppose -a*y + 15*y = 8. Let d = 3 + y. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/488 and -73\/8009422?\nAnswer: 32037688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*l - h - 10, -9 = -2*l - h. Let n(x) = -2*x - 1. Let d(y) = y + 7. Let w be d(-6). Let t be n(w). Put t, 0, l in increasing order.\nAnswer: t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 13.9. Let h = r + -0.01. Let j = h + 2.91. Which is the second biggest value? (a) 0.1 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {d: 5, o: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5331492 and 86574?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-5) - (-1)\/(-5). Let d(l) = 0*l**2 - 2*l - 7*l**2 + 2*l**2 - l**3 - 6. Determine d(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -2. Let x = w + 3. Which is the nearest to -1\/2? (a) 0.2 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4 - -0.6. What is the biggest value in v, 2\/9, -0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 10:23 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -0.17, -7\/11 in decreasing order.\nAnswer: 94, -0.17, -7\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 3*n + 4*n)*(-85 - 80 + 45)*(4*n**3 - 4*n + 4*n + (2*n**2 + 0*n**2 + 0*n**2)*(3*n + n - n)) as q*n**3 + r*n + f + i*n**2 + j*n**4 and give j.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 4*1\/2. Suppose -7 + 1 = -x*g. What is the least common multiple of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 2 + sqrt(108) - sqrt(108))*-6*4*-1)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115900 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, s: 5, i: 8}. What is prob of picking 1 b, 1 s, and 1 i?\nAnswer: 25\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3033*a*c**3*g - a*c**3 + a*g**2 + 10180*c**3*g**2 - 3*c wrt a?\nAnswer: 3033*c**3*g - c**3 + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5687847\/17 + 1177381513\/3519. Let w be 4\/(-68)*67\/(-9). Let c = m + w. Calculate the common denominator of -74\/3 and c.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 20581 + 20581 + 2*u**3 to the form i*u + c*u**3 + v*u**2 + b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2249 and -0.064?\nAnswer: 2248.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 9*x - 30. Let o be n(-11). Let z be (-6)\/(-10)*((-64)\/12)\/o. What is the third smallest value in 2, -3, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4009*c**3 + 13*c**2 - c - 115. Let v(p) = 4010*p**3 - 16*p**2 - p + 116. Let o(q) = 6*f(q) + 5*v(q). What is the third derivative of o(l) wrt l?\nAnswer: -24024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1\/5 (c) -19\/2 (d) 0.0897\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twenty-six sevenths of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 3:01 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28737 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -5, -6418, -3, 3\/4, -4\/5?\nAnswer: -6418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 9. Let z be m(-6). Suppose -3*t - z*t = -t. Suppose -3*l + 1116 = 2*v + 228, t = 3*v + 5*l - 1331. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4643?\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520256737.\nAnswer: 23, 2549, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**4 - 5*s**3 - 532*s.\nAnswer: 132*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1355 (b) 0.1 (c) -1\/3 (d) -80 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 3*m**2 - 7*m**2 + (28*m**2 - 45*m**2 - 34*m**2)*((4 - 6 + 4)*(3 - 1 + 0) + 4 - 2 + 0 + 1 + 2 - 1).\nAnswer: -411*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 7*s + 4*s)*(-14*s + 8*s**2 + 14*s) + s**3 + 0*s**3 - 2*s**3 + 2*s + 3*s**3 - 2*s.\nAnswer: 42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1646, 2065, 2474, 2873, 3262, 3641, 4010?\n\"Answer: -5*k**2 + 434*k + 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s - 2*s**2 + 417*s**3 + 562*s**3 - 787*s**3 + 5*s**2 as v + x*s**3 + w*s + a*s**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 6*y**2 - 6556322*y + 2185440 = 0.\nAnswer: 1\/3, 1092720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 0.3 (c) -0.0858 (d) -0.5 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 44303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-16)*(-7 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/27)\/(((-1)\/1)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y. Let g(p) = -p. Let z(j) = -4*g(j) + r(j). What is z(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -20. Let w be 9\/15 + z\/10. Suppose 0 = -i - w + 60. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209 + 150 - 85)*(-p + 2 - 2)*(3*p + 3*p - 7*p).\nAnswer: 274*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 1537?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/3 - 192*k**4 - 2590*k**3 - 26852*k**2\/3 = 0.\nAnswer: -274, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94 + (-8)\/(-28) + (-19)\/(-7).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (96\/9 + 2)*20850\/100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 - -1)) + 3 + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobdbabb. What is prob of sequence bod?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - 4) + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 7*a - 1. Suppose 12 = g - 3*g. Let d be k(g). Solve 5*l + d*y = 0, -4*l + 0*y = -y - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2027 + -2033. Sort -1, 2\/15, f in descending order.\nAnswer: 2\/15, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53674\/125 less than or equal to -428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339155 is divided by 620.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i**2 - 540*i + 207. Let d be t(-45). Let y = 11 + -7. Let z = 27 - y. What is the highest common divisor of d and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(2*v - 2*v + 2*v) - 4*v + 0*v + 2*v + (-4 + 4 + 2*v)*(-5 + 4 + 3) + 3*v - 2*v - 2*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -2 + sqrt(108))*1*6 + (sqrt(108) - -5*-1*sqrt(108))*-4)**2.\nAnswer: -4032*sqrt(3) + 84816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 44, 79, 124, 179, 244, 319?\n\"Answer: 5*d**2 + 10*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.3 + 49. Let t be (-14 + 1)*(-2)\/(-6). Let g = -4 - t. What is the nearest to j in g, -2, -11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2122 is divided by 530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwuf when four letters picked without replacement from {i: 1, f: 2, s: 4, o: 3, w: 2, u: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6*a + 2*y + 136, -52 = -2*a + 5*y. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62449.70297 to the nearest ten.\nAnswer: -62450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -165. Let v be -1 - 4\/(-1 - 0). What is the closest to -0.1 in v, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2586\/(-4) - -4)*(-26)\/65 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.4 + 1.4. Let j = v + 10.2. What is the closest to 2 in -2\/7, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766461893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:01 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18798*a + 18783*a + 951945 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:10 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p + 10 + p**2 + 2*p + 0. Suppose 3*s = 5*u - 17 - 9, 4*s + 5*u + 23 = 0. Does 8 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.1396 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -242*p - 14. Let d(r) = -4*r + 3. Calculate -15*d(n) - 3*m(n).\nAnswer: 786*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5 + 911*v**4 - 201368*v**3 - 2833976*v**2 + 13723248*v - 14514192 = 0.\nAnswer: -17, 2, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -433*k**3 + 5*k**2 + 5*k - 19. Let p(t) = -216*t**3 + 3*t**2 + 3*t - 10. Let f(v) = 5*p(v) - 3*s(v). Differentiate f(c) with respect to c.\nAnswer: 657*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a (base 14) to base 5.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62859034 to the nearest integer?\nAnswer: 7928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/((n\/n**(-5\/2))\/n)*(n**(-2\/7)*n)**(2\/29) assuming n is positive.\nAnswer: n**(-3431\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + g. Let o be u(-1). Suppose -308 = -o*n + n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -17. Let s = 37 + -10. What is the least common multiple of (-9 - -37) + -4*b and s?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**2 + 55*i**2 - 25*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*u - 3303, -1 = -u - 0. Is 44 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -215, 2\/15, -9\/7 in decreasing order.\nAnswer: 2\/15, -9\/7, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-1))\/(15\/20). Let t(o) = 2 - 3 + 1 - f*o. Let b(w) = -w. Calculate t(b(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1660 + 1518 - 144 - 104)*(-3 + 2*w + 3) to the form g*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 + 579 - 375)*(3*g + 0*g - 6*g + (6 + 0 - 5)*(-g + 2*g + g) + g - 4*g - 13*g).\nAnswer: 1190*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y + m = -79, 109 = 4*y - 5*m. Suppose -5*h = -2*h - 81. Let d = h + -18. Calculate the remainder when y is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*a + 45 = 5*u, u = -5*a + 33. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 61. Suppose -5 = -t - 3. Let i = t - -1. Solve -i*k - n + 32 = -6*n, x = 2*k - n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 717480 and 7890?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 231 + 3*r + 305 + 280 - 18*r - 728 in the form l + f*r and give l.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150940 and 10.\nAnswer: 150940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -390*z**2 + 775*z**2 + 1 - z - 386*z**2 - z**3. Let f(q) = -2*q**3 - 8*q**2 - 4*q. Let x(y) = -3*c(y) + f(y). Calculate x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28331 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*p = -3. Suppose 0 = -4*s + p*s + 2. Solve -a - 15 = s*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101143.561 rounded to the nearest 10?\nAnswer: 101140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -396\/565439 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31884379 by 56633.\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 332.8?\nAnswer: -332.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-305)\/(-122)*84\/60\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -7830, -5 in ascending order.\nAnswer: -7830, -5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 32. Let j = 146 - 141. Let d be l(j). Let m(x) = x + 1. Let n(v) = -10*v - 8. Give d*n(k) - 14*m(k).\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 56, 127, 254, 455, 748, 1151, 1682?\n\"Answer: 3*g**3 + g**2 + 9*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6006\/1260 + (-4)\/(-10) + -5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 2570*c - 15348.\nAnswer: -2*(c - 1279)*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 4*w + 28 = 0, -5*k - 4*w + 4*w - w = -16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qvovjroqjrrqoog.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**3 + 31*v**3 - 12*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*t + 12, -3*t + t - 6 = -h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**7\/210 - k**6\/120 - k**5\/60 + k**4\/24 - 8*k**2. Factor b(a).\nAnswer: a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 88*o**2 - 2*o. Suppose -3*f + 8*j = 7*j, 3*j + 4 = 5*f. What is the lowest common multiple of 27 and i(f)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -747 - -5487. Suppose -38*r = -33*r - h. Is 79 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -357*g - 184. What are the prime factors of a(-3)?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 16 = -4*a. Suppose 75 = -5*h - 30. Let n be (4\/3)\/((-14)\/h). Is n at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 2*j**2 - 6*j - 3. Let f be ((-3)\/(-2))\/(8\/16). Let v be x(f). Is -1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 0 + 4)\/(2 + -24).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:18 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -769, -3086, -6947, -12352, -19301, -27794, -37831?\nAnswer: -49412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**6\/50 + 3*n**5\/100 - 3*n**4\/5 + 2*n**3\/5 + 24*n**2\/5 - 3182*n. Factor a(r).\nAnswer: 3*(r - 2)**2*(r + 1)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzzxzzxzzxz. What is prob of picking 3 x?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3*t*z + 14*a**3*z - 39*a*t - 2*t*z + 15*t - 1 wrt a?\nAnswer: -6*a**2*t*z + 42*a**2*z - 39*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjpu when four letters picked without replacement from jjjjujpppjjjppjjpjjp.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -15 (c) -13\/44480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-29 + 0 + 1). Suppose i + 44 = 2*n. Let y = -25 + n. What is the highest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.674 times 0.5?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22102 (base 3) in base 6?\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.8 - 8.8. Which is smaller: c or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/3 - 18\/(-27). Calculate the greatest common factor of c and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.5668748s to weeks.\nAnswer: 0.000270447875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/125 + 276\/1625. Let d be 2\/8 + 2\/8. Let m = 3 - 2. What is the nearest to -1 in r, m, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, p: 3}. What is prob of picking 1 p and 3 z?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 9*d + 35 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-833)\/147) + ((-6)\/3 - 45)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*o - 30 = -553*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/1808 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/55 and 82\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 29*j + 221. What is the remainder when r(-6) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -504125.\nAnswer: 504121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2154.\nAnswer: 21540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 772 by 115.\nAnswer: 772\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11010000 (base 2) to base 16\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 1 + 15*h**2 + 14*h**2.\nAnswer: 29*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3168 = 23*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10981*z - 2583. Is d(38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4 - 12) + (-42 - -62).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -325*q - 2004 - 3521 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148.4 + 148. What is the fourth smallest value in 1, r, -2, -67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 - 19*s + 14. Determine r(6).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 e, and 1 o when four letters picked without replacement from {n: 5, e: 5, k: 1, s: 4, o: 3, v: 2}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29501039*l**2 + 197999882*l.\nAnswer: -59002078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 - ((-15)\/20 - 77\/44) - -9. What is the nearest to 0.6 in 2, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbplalllpr. What is prob of sequence lba?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - v = r - 15, -3*v = 3*r - 9. Let n(h) = h - 3. Let z be n(r). Suppose 0 = -3*p - l + 2*l + 12, 0 = -3*p - 4*l - z. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/3 + 18728*d**4\/9 + 33325*d**3\/3 - 43672*d**2\/9 - 44428*d - 124960\/9 = 0.\nAnswer: -5, -2, -1\/3, 2, 6248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.977 - -0.023. Let m = d - 33. Let w be 1*3 - (-4 - -2). What is the nearest to -0.2 in m, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 118 = -794. Suppose x - q = -5*x. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v - 1750*v**2 + 1751*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/27 - 1644\/108. Let k = 75 - 120. Let t = x - k. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8*b + 492 = 0. Is b a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13265934.38 + -0.172.\nAnswer: -13265934.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 192. Let y be 23\/(-60) + (-2)\/(-8). What is the nearest to y in -2\/7, 3\/5, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 1776804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 946 - 948. Suppose 5*t = -20, 5*j = 4*t - 6*t - 93. Let g = n - j. Solve h = 6*h - g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313 + -625\/2. Which is the third smallest value? (a) 0.4 (b) 5 (c) z (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 54 + 16 = 0. Let u(w) = 6 - 5*w + 5 - 10. Calculate the smallest common multiple of a and u(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*p - 954 - 984 = -755 + 3611 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 3*l + 2*l**2 + (-4 + 2 + 1)*(l + 2*l**2 - l) - l + l + l**2 + (-6 + 6 + 4*l + (0*l - 3*l + 2*l)*(0 - 5 + 2) - 11*l - 6 + 6)*(-3*l - l - l).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -60050 divided by 10\nAnswer: -6005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 4*u**2 + 2*u + 2. Let o be k(-3). Suppose -f - m = -o, 0 = -0*m - 5*m + 15. Calculate the lowest common multiple of 1 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916 = -6*w + o, 2*o + 616 = -15*w + 19*w. What is the greatest common divisor of 513 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1178, 9060, 30454, 72116, 140802, 243268?\n\"Answer: 1126*o**3 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 2*s**2 - 2. Let a(x) = -3*x**3 + 31*x**2 - 29. Let q(w) = w**3 - 15*w**2 + 14. Let h(i) = 6*a(i) + 13*q(i). Give 2*h(v) + 9*z(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/6)*t*(t*t\/(t**(-18)*t))\/t*(t*t**(-1\/10)*t)\/((t\/t**8)\/t) assuming t is positive.\nAnswer: t**(436\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 3*i - 321 + 219. What is the greatest common factor of 16650 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/16*(2 + 0)*-54. Let d be ((-44)\/(-6) + -4)\/(15\/y). Factor 18*m**4 + 0 + 111\/5*m**3 + 12\/5*m + 27\/5*m**5 + d*m**2.\nAnswer: 3*m*(m + 1)**2*(3*m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -291.5, -3\/10, 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3978600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-69187.\nAnswer: 899431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxfxfxdfwxkfffx. Give prob of sequence xxkx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 16 = -h. Suppose 0 = x - 4*f, 3*x - 7*f - 7 = -2*f. Let r be x\/2 + h\/4. Is r < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((0 - (-1 - -14)) + 6 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/36*3 + -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 253.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/(-34) + -2 - 14360\/(-680). Suppose 26*g = q*g + 1980. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18061.123 to the nearest 10.\nAnswer: -18060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180273, 360282, 540025, 719502?\n\"Answer: -133*z**2 + 180408*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42541 times -149\nAnswer: -6338609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-1 + 5 - ((24 - 14) + -12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179\/24 - 149\/24. What is the nearest to -5 in 2\/15, 12, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/5, 1, 1041, -21\/5.\nAnswer: -21\/5, -0.2, 1\/5, 1, 1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q. Let l = -19 + 20. Let g(v) = 2*v**2 + 1 + 0 - l. What is g(n(i))?\nAnswer: 450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 745*j**5 + 5*j**2 - 20*j - 16. Let z(c) = 1117*c**5 + 8*c**2 - 30*c - 25. Let x(k) = 8*d(k) - 5*z(k). Find the second derivative of x(v) wrt v.\nAnswer: 7500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -5\/2*y**2 + 8*y + 13\/30*y**6 + 0*y**4 + 0 + 0*y**3 + 0*y**5. What is the derivative of o(b) wrt b?\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Suppose 0 = -2*m + 3*m - 2. What is the least common multiple of (((-3)\/(-4))\/3)\/((-1)\/(-36)) and o(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -42081 and -42081 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105499 is divided by 20987.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -99, -199, -285, -351, -391?\n\"Answer: p**3 + p**2 - 110*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 49. Calculate z(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 plus 1734210.25888?\nAnswer: 1734074.25888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -23667.1331848.\nAnswer: -23654.1331848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*a - 8 - 5 = 0, -3*a = -c - 10. Let v be (1 - c)\/((-7)\/(-84)*6). Solve 8 + 12 = v*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 5428890*w**2 - 10857800*w = 0. Calculate w.\nAnswer: -2, 0, 1085780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -59*m**2 + 76*m - 110. What is the first derivative of l(g) wrt g?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from {e: 3, b: 16, l: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25454 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3360432.\nAnswer: 2, 3, 70009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28.6, 2\/139, -0.12.\nAnswer: -28.6, -0.12, 2\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3989 - -6789. Let d be -1 - 3 - j\/(-8). Is (-3)\/6*d*-1 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9421909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 92*g - 1370. Determine r(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/27, 1, 0.2?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -464, -412, -332, -218?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 115245 + 10635 = 0. Round i to the nearest 100.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 15*i**2 + 16*i - 76. Calculate the remainder when f(-13) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300234478 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-825)\/(-66))\/(15*15\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v**3 - 5*v**2 - 3*v + 5. Let a(t) = 22*t**3 - 7*t**2 - 5*t + 7. Let b(r) = 5*a(r) - 7*o(r). What is the second derivative of b(l) wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2025540.\nAnswer: -1\/675180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19910627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3839.37 plus 15.596?\nAnswer: -3823.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -15*d**2\/2 + 18*d - 12. Let s(i) = 1. Let l(v) = 18*s(v) - y(v). Let o(r) = 4*r. Determine l(o(j)).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 593*d**2*v + 207*d - v wrt d?\nAnswer: 1186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c + 25. Let y = -11.563 - -0.263. Let r = 11 + y. Sort 0.3, r, c in descending order.\nAnswer: 0.3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -36, -23, 6, 57, 136, 249, 402?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -934? (a) 0.3 (b) 0.4 (c) -1.1 (d) 4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 3?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15*5\/(-75))\/((-2)\/(-30)). Solve 0 = 8*t - 3*t - d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 6 - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0)**2 + -3 - sqrt(128))*1 + 5 + -1.\nAnswer: -8*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 121*x - 124*x. Suppose -5*b - 1051 = -x*v + 202, b = v - 314. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/72*-15*2805\/748\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-4)))**38\/((q*q*q**(-14)*q)\/(q\/(q**(-14)*q))) assuming q is positive.\nAnswer: q**177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**9\/5040 - d**6\/720 + d**4\/12 + d. Let f(z) be the third derivative of k(z). Find the second derivative of f(y) wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 5 (c) -8 (d) 19 (e) 0 (f) -303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i + 2 = 0. Let g be (12\/(16\/4))\/15. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-8)*q**(-10))\/((q*q**5)\/q**8))**(1\/18))**(-36) assuming q is positive.\nAnswer: q**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/10*(-80)\/96. Let a = 4 - l. Factor a*o**2 + 2\/3 + o.\nAnswer: (o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = -4*p. Let i(g) = -g**2 - 2*g - 1. Let b(t) be the third derivative of t**5\/60 + t**4\/12 + t**3\/6 - 212*t**2. What is p*b(k) + 3*i(k)?\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-16 - -17)\/((-2)\/(-302)) is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:56 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 1\/1620*b**6 - 2*b + 0 + 1\/540*b**5 - 1\/54*b**4 + 0*b**2 - 1\/6*b**3. Let g(x) be the second derivative of h(x). Factor g(o).\nAnswer: 2*(o - 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96457 take away 6.9?\nAnswer: -8.86457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1069, -1960, -2865, -3784, -4717, -5664, -6625?\n\"Answer: -7*k**2 - 870*k - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/((-242)\/33). Suppose 0 = 4*v - 8*v - 4*j, 0 = -2*v + 5*j. Which is the second smallest value? (a) v (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(2376\/(-1782)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11625*s + 11624*s - 268*x - 1365, 4*s + 110 = -2*x for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -22 (b) -77 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 2*m = -90. Calculate the smallest common multiple of m and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -137389*s + 30. Give m(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 26. Calculate the remainder when 22 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -27\/11?\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 2. Let t(o) = 248*o + 846. Let k(n) = 4*l(n) + t(n). Differentiate k(d) with respect to d.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 5*i**4\/12 + 43*i. Let o(r) be the second derivative of -r**4\/3 - 5*r. Give o(c(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-528)*153\/646\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39167421.\nAnswer: 3, 13055807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 65428?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7936 divided by -8.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h = 512. Suppose -2*r + 5*i + 20 = 0, -6*r + 4*r - i = -8. Suppose 4*u + r*d - 3*d - h = 0, 0 = u + d - 32. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 - 6*f + 4. Let x be n(6). Let r(q) = 3*q - 6. What is the remainder when 9 is divided by r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25283*u**4 + 31398*u**2 wrt u?\nAnswer: 606792*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -21 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.1 - -12.1. Let d = 30.5 - 31. Which is the nearest to 0? (a) f (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4041460 divided by 4041460.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:29 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 29*o + 207. Suppose -5*p = -s - 2 - 5, -s - 7 = 2*p. Let q be y(s). Solve -3*h + 3 = -b, 5*b - 4*h + q = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/7)*n)\/(n*n*n**(-4\/5)*n)*n\/n**(-12)*n*n**(4\/7) assuming n is positive.\nAnswer: n**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 5526, 0, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7289090 and 6560181.\nAnswer: 65601810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 5\/3 (c) -21 (d) 0.5 (e) -1 (f) -12\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 2*a - 1. Let v be w(1). Put -7, -2, v in decreasing order.\nAnswer: v, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-7) - (6 + (-114)\/21). Let i(h) = 12*h. Let z(b) = b. Give y*i(v) + 28*z(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnng when four letters picked without replacement from {n: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r - 5*x = 5, 0 = 5*r - x + 5 - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 50 = -m - 5*n + 30, 0 = -m + 5*n - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8185, -8282, -8379, -8476, -8573, -8670?\nAnswer: -8767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448304465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/21475 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2333 + -18695\/8. Find the common denominator of 143\/12 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 311*n + 4 + 6)*(-3*n**3 - 4*n**3 - 9*n + 8*n) to a*n**4 + i*n**3 + q*n**2 + p + t*n and give a.\nAnswer: 2177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + -24312432?\nAnswer: -24312223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455487?\nAnswer: 3, 19, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 133812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 39 = -j + 34 - 45, g = 5*j - 140 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11806 + 2439*y**3 - 24709*y**3 - 11806 - 12029*y**3.\nAnswer: -34299*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 5*q - 4*h - 110, -5*h = -20. Let m = 91 - q. Suppose -m - 16 = -8*c. Solve 3*r = 2*u - c - 10, 2*r = -u + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2403*u. Let o(x) = -86099*x**2. Determine o(r(s)).\nAnswer: -497170840491*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68.4*-0.41\nAnswer: -28.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlllddlldlfddlf. Give prob of sequence fdf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-8) - 3306\/(-304). List the prime factors of 70*y\/(385\/294).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*u - 18, -14 = -3*m + u - 2*u. Suppose -224 = -t - 204. Suppose -6*x + 5 = -x, -m*z - 5*x + t = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/28*(-10829)\/(-3094).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*5\/15*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139907663 * -0.03.\nAnswer: -4197229.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/7))**(-10)\/(f**(-1\/8))**(-3\/20) assuming f is positive.\nAnswer: f**(-9621\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127059770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a75222 (base 13) to base 3.\nAnswer: 1021122001102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/((-29)\/(-87))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 11*t**2. Let g be d(-11). Suppose -2*c = -8, -5*h - 5*c + 0*c + 2505 = g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, s: 11}. Give prob of sequence tstt.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8622 is divided by 8620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*z - 89, h - 47 = -4*z + 7*z. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 9.27086?\nAnswer: -9.07086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 10852130.\nAnswer: -10852127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -0.0725?\nAnswer: -0.2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + x**2 - 1. Suppose -q = 2*q - 3. Calculate b(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 13, q: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 15*r**3 - 222*r**2 + 66*r - 38. What are the prime factors of x(17)?\nAnswer: 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/45)\/(-3 - (-260)\/90). Factor -3\/4*i**x - 1 + 15\/4*i - 2*i**2.\nAnswer: -(i - 1)*(i + 4)*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*j - c, 3*j - 2*c = -5*c + 3. Solve j + 2 = -7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (14 - (15 + -2)) + -29.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-12)*b*b\/(b**(-3\/2)\/b)*b)\/(b**(-7)*b**11) assuming b is positive.\nAnswer: b**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from fvjvu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 5*f**2 + 2*f + 8. What is the units digit of t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10568169?\nAnswer: 3, 17, 69073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -898752.0824.\nAnswer: -898759.0824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -502*u**4 + 2*u**3*v**3 + 2*u*v**2 + 5*v**3 + 254*v**2 + v wrt u?\nAnswer: -6024*u**2 + 12*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 975, 2205, 3875, 5955, 8415, 11225?\nAnswer: 14355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 7*o. Let x be -4 + 152\/40*(3 + -2). What is the biggest value in 5, o, -0.3, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*u + 22, -8 = -12*s + 16*s. Let y(l) = l**3 + 5*l**2 - 3*l - 4. Calculate y(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from fofoafooafa?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 85*u**2 - 10*u + 59. Suppose -4*f + 8 = 5*n, -4*n + 9 = f - 4. List the prime factors of o(n).\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-442)\/(-520) + 4\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 26*j)*(317*j - 33 - 630*j + 310*j) in the form q + o*j**2 + w*j and give w.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m, 0*h - 5*m - 53 = -4*h. Let r = -5 + h. What is the remainder when ((-1)\/3 + 1)*6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2483\/460?\nAnswer: 2483\/460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*g = -y - 12, 3*g = 5*y - 30. Let q be (y - 0)\/(90\/(-12)). Sort -21, q, -2.\nAnswer: -21, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(27\/(-113))*(-3)\/30 and 41\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) -0.543 (c) 1.8 (d) -1 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.1042 * -2.1\nAnswer: -2.31882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553821 = -12289*r + 171230 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*s**5*w**2 - 4*s**3*w**3 - 2*s*w**3 - 4*s*w**2 - 2*s*w wrt s.\nAnswer: -1480*s**3*w**2 - 24*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (8 + -7) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*z**2 - 129*z**2 + 93*z**2.\nAnswer: 73*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -296 and 0.2.\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/15 + 6*n**3 + 186*n**2. Factor m(t).\nAnswer: -4*(t - 3)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63838, 127680, 191522?\nAnswer: 255364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - 1 - (-1)\/((-1)\/(-4)). Let u be w - -2 - -6 - 6. Is 5 a factor of 2 + u\/(-3 - 276\/(-93))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 52733 = -52765 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -41*g**6\/40 - g**5\/30 - 37*g**3\/3 - g**2 - 70*g. What is the third derivative of u(s) wrt s?\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4. Let s = 22 - 15. Let n(i) = 1. Let g(l) = s*n(l) + 2*j(l). Let f(q) be the second derivative of q**3\/2 - 14*q - 3. Determine f(v) - 2*g(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 777*m - 42223. Let f be q(-51). Let -4\/3*r**2 + 0*r + 1\/3*r**f - 5\/3*r**4 + 8\/3*r**3 + 0 = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.6. Let v be ((-7)\/(-14))\/((-2)\/4). Put s, v, 4 in descending order.\nAnswer: 4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = 0, -4*k + 4*v + 21032 = -19132. List the prime factors of k.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s - 44*s - 222 = -3*n, -16*s + 17*s = -3*n + 264 for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6571*o**2 + 8117*o**2 + 10994*o**2 to c*o + a + v*o**2 and give v.\nAnswer: 12540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1559, 0, 2, -2 in decreasing order.\nAnswer: 1559, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from {v: 3, y: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 + 10*n + 14 + 6*n - 124.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -185*r**2 + 5*r - 1. Let q(o) = 184*o**2 - 4*o. Let i(g) = 5*f(g) + 6*q(g). Is i(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from uxiu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 111bd + 2?\nAnswer: 111bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 34*r**2. Let c(g) be the second derivative of -g**4\/12 - 9*g. Determine s(c(i)).\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23472 divided by 6?\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*s + 104, s = -4*s - y + 110. Suppose s*g - 121 = 10*g. Calculate the smallest common multiple of 27 and g.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25759371*m = -25759084*m + 36449 for m.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 21. Let k(q) = -2. Let n(a) = -2*k(a) + 2*v(a). Let r be n(-20). What is the greatest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 2*n, 47*n = 2*h + 46*n - 30. Suppose h*a**4 - 39\/2*a**3 + 18*a**2 - 6*a - 3\/2*a**5 + 0 = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.024 + 46.824. Let v = -47 + b. Let q(n) = -2*n**2 - n. Let y be q(-1). What is the nearest to -3 in y, v, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20459202 is divided by 6080.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080970 rounded to the nearest ten thousand?\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0 - 4*q**3 - 3*q + 19\/2*q**2. Is i(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -297542, -297540, -297542, -297548, -297558?\n\"Answer: -2*a**2 + 8*a - 297548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, f: 3, s: 2, q: 7}. What is prob of picking 1 s and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -22*n**2 + 6*n + 57. Let c(p) = 7*p**2 - 2*p - 20. Let m(w) = -17*c(w) - 6*k(w). Determine m(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 25 = 0, -b - 2*u - 1 = -0. Let f(s) = -7*s + 18*s + b*s. Let i be f(1). Solve -4 = 4*l + 3*w, -3*w + i = -l + w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 v, and 1 j when four letters picked without replacement from {j: 4, b: 2, v: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bllbbl. What is prob of sequence ll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-1)\/4) + 139. Suppose -b - d = -6*b. Calculate the least common multiple of 11 and b.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.3899 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((2072\/(-444))\/(4\/(-2)))\/(14\/318)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 + 0 + 0. Let j(v) = -2*v. Let d(r) = -8*r. Let p(z) = -2*d(z) + 9*j(z). What is c(p(f))?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 228*n**2 - 237*n + 462.\nAnswer: 3*(n - 77)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/1768*(-87282)\/(-108) - 6\/(-16).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39182655 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/270 + a**5\/90 + a**4\/54 - a**3\/9 + 26*a**2. Factor n(c).\nAnswer: -2*(c - 1)*(c + 1)*(2*c - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 + 8.3?\nAnswer: 8.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -13*a**5\/20 + 5*a**2 - 5*a. Differentiate n(p) wrt p.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*g - 317819 = 416621. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:55 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i*i**(-5)*i)\/(i\/(i\/(i**(-1)\/i))*i*i)**(1\/35))\/((((i*i**0)\/i)\/i)**(-9\/4)*(i\/(i*i\/i**(-1)*i)*i)\/i*(i**(3\/2)*i)\/i*i) assuming i is positive.\nAnswer: i**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/240418539 and 74\/21?\nAnswer: 1682929773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*t = 3*f, 0 = 4*f - t + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (1 - (5 - -1)) - (9 - (-2 - -44))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 8940*r**3 + 35655*r**2 + 44600*r.\nAnswer: 5*r*(r - 1784)*(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x + 31*x - 11*x + 65 - 22*x. Let s(m) = -16*m + 64. Let r(y) = 3*s(y) - 4*v(y). Find the first derivative of r(i) wrt i.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + 5530\/42. Suppose -5*b - 5 + k = z, 3*b - 4*z = 94. Solve -b = -2*i - 5*w, i = -0*w + 5*w - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/57 + -233\/285. Let h = 217966\/873 + -1833\/97. Let g = h - 231. Put g, 0, p in descending order.\nAnswer: 0, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -40\/11 (b) -0.5 (c) 3 (d) -3 (e) -0.0501 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 0.5 (c) 1990\/5533 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 44022?\nAnswer: 44022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 + 2*c - 4*c + 2*c - 2*c. Let g = 41005 - 41006. Let n(v) = v. What is g*l(r) - n(r)?\nAnswer: 4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 3, z: 1, i: 1}. Give prob of sequence nrr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 35 = 103. Factor 0 - 88\/9*b**3 - 140\/9*b**f + 0*b - 16\/9*b**2 - 50\/9*b**5.\nAnswer: -2*b**2*(b + 2)*(5*b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 28*d - 3525. Determine x(25).\nAnswer: -2825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23440037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3*i**5 + 8\/3*i**2 + 18*i**3 + 52\/3*i**4 + 0 - 8\/3*i = 0. What is i?\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-14)\/385*39\/(-78)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(6336) + 3.\nAnswer: 4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.74937 kilometers to millimeters.\nAnswer: 31749370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*d = 449*d - 2520 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-487259)\/546 + 30\/70. Let b = 893 + h. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55481, -55791, -56111, -56447, -56805, -57191, -57611?\nAnswer: -58071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-10))\/((-5)\/75). Suppose 0 = 2*c - 5 - m. Let g(j) = j**2 - 5*j - 1. Let l be g(c). What is the greatest common factor of 65 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4698964 and 1304.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + -31. Let f be (a\/6)\/((-1)\/2). Solve 0 = -3*s + s - 3*k - f, -3*s = 2*k + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdw when three letters picked without replacement from ewmmd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4405 divided by 7.\nAnswer: 4405\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18570053.1 + -17845605. Let m = -723726.1654 + p. Let t = m - 722. Round t to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**2 + 0*w**3 + 0*w - 3 + 1\/4*w**4. Find the second derivative of r(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107911.6241 - -107922. Let f = 6.3856 - u. Let l = f - -4. Round l to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4568 divided by 2?\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u**2 - 6*u - 10. Let j be r(-7). Let d = 18 + j. Solve -t - n = -1 - 6, n - d = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1599078483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8735 = 3*r + 6959, -5*u - 2*r = -78436. Suppose -5*a - 3*a + u = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 0.2, 0.02, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 4*j - 108, -2*j - 6 = 0. Let m = -2 + w. Solve -3*r = c - 14, 0 = -2*c + c - 5*r + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34172188717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -42, -114, -234, -414, -666, -1002?\n\"Answer: -2*s**3 - 6*s**2 - 4*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/3 - 1261*r**2\/3 - 121853*r - 361785 = 0. What is r?\nAnswer: -813, -445, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 40d9a8c?\nAnswer: -40d9a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23146 times -1.1?\nAnswer: -25460.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 83671*o - 3179559. What is x(38)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628194 is divided by 722?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 4. Let j be z(3). Let q = -8 + -6. Let x = j - q. Put 3, -1, x in decreasing order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17017831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 282*m + 217*m - 1142 + 1142 - 52*m + (-4 + 4 - 7)*(m - 4*m + 4*m).\nAnswer: 440*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + 94*x + 1. Let z(g) be the first derivative of g**3\/3 + 2505. What is h(z(i))?\nAnswer: -4*i**4 + 94*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0 + 6 + 694*j - 687*j. Let q be i(4). What is the highest common factor of 102 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200.859 rounded to the nearest one hundred?\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, u: 2, q: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*a - 408 = -51*a. Let f(w) be the third derivative of -1\/150*w**5 + 1\/20*w**4 + 9*w**2 + 0*w + 0 + 0*w**a. Factor f(u).\nAnswer: -2*u*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42075246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 46430*q**2 + 5*q + 46430.\nAnswer: -5*(q - 1)*(q + 1)*(q + 9286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22972819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 1904.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31388 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -13 - (2 - 1). Suppose -5*h + q = -0*q - w, 11 = -3*h + 5*q. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/12 + 4*d**3\/3 + 14*d**2. Let b be p(-4). Let w be (-12)\/36*(3 - b). Is 2\/107 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007488 rounded to 5 decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -y - 38. Let b be (6\/3 + y)*(-21)\/14. Sort -1, 0.3, b, -80 in descending order.\nAnswer: b, 0.3, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2.8, -504\/11, 0.3.\nAnswer: -504\/11, -2.8, 0.3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/24 + 13*c**3\/6 + 3*c**2 + 20*c. Determine w(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -60 + 30. Suppose 13 = 2*z + 5*p - 18, -2*z + 2*p = -i. Solve 4*x - 2*x - 2*k = -4, -2*x = 2*k - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*w**2 - 177177111*w + 50622030 = 0. What is w?\nAnswer: 2\/7, 8437005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -10.257613.\nAnswer: -3.0772839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:07 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2095*z**2 + 258890*z - 110360.\nAnswer: 5*(z + 124)*(419*z - 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let v be (14\/28)\/((-2)\/(-1860)). Let t(x) = 25*x**r + v - 465. Let s(b) = b**2. Determine t(s(g)).\nAnswer: 25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2358*z. Let r(i) be the second derivative of i**3\/6 - 110*i + 5. Determine s(r(j)).\nAnswer: 2358*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:03 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 - 16*x**2 + 33*x**2 + 45*x**2 + 37*x**2.\nAnswer: 92*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + -2*sqrt(288) + sqrt(288))*-2)\/(sqrt(32)\/(sqrt(16)\/sqrt(2)) - sqrt(20)\/(2*sqrt(5))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**2 + 0*b**2)*(-5*b + 4*b + 4*b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = -5*d. Let p be (-2 - -1)*20\/d. Suppose 98 = p*b - 102. Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:04 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293*u + 1293*u + 17*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-r**5 + 0*r**5 + 6*r**5) + (0 - 2*r + 0)*(7*r**4 - 221*r**3 + 221*r**3).\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 69*g**4\/4 + g**3\/2 + 11*g. Let p be x(-2). Is 9\/((-45)\/(-10))*p\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1938 + -223. Find h such that 1715*h + 3*h**2 - i*h + 3*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhhj when four letters picked without replacement from {h: 12, y: 5, j: 1}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 21997*x**2\/5 + 593216*x\/5 - 114244.\nAnswer: (x - 21970)*(x - 26)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 255 = 5*d, 2*w = 10. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (-3 - 4) + 3. Find the third derivative of -3*v**2 - 7*v**2 + 2*v**g - 12*v**4 wrt v.\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6933 - 6930. Let l = 5 - 1. Let g = l + -3.8. Which is the smallest value? (a) g (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.26. Let n = 0.16 + m. Let d(b) = -b + 4. Let z be d(6). Which is greater: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17210626?\nAnswer: 2, 73, 117881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 + 411*l**2 + 399*l + 51702. Give d(-103).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1428532*k. Let a(l) = 59*l. Calculate a(p(b)).\nAnswer: -84283388*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubqb when four letters picked without replacement from qbuubxqqbbbv?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t - 8. Let r(w) = 5*w. Let h(l) = 2*l + 2. Let m(n) = -6*n - 7. Let j(z) = -21*h(z) - 6*m(z). Determine t*j(i) - 5*r(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 2*k - 22. Let p be r(-6). Let u be (2\/p)\/((-10)\/(-10)). What is the highest common factor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 5*i + 9. Let u(v) = 2*v**2 - 10*v + 18. Let q(f) = 3*u(f) - 5*z(f). Give q(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-8))\/((-2)\/8). Let r = -372 + 548. Let p = -182 + r. Which is the nearest to n? (a) -3\/4 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/16)*x)**(-22) assuming x is positive.\nAnswer: x**(-363\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2231 + 0.0769. Suppose -6 = -2*z + 4. Which is the second smallest value? (a) -7 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((((z**(1\/23)\/z)\/z)\/z)\/z*z)*z\/z**(-5\/12)*z)**(-22))**13 assuming z is positive.\nAnswer: z**(-251537\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2)\/(-2)) + (4 - 2). Suppose 0 = -2*d - 3*u + 37, 52 = 3*d - u + j*u. What is the highest common factor of 85 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(sqrt(637) + -5)*4)**2.\nAnswer: -169472 + 17920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*i + 4*b + 5 = 0, 3*i = -3*b. Let k be i + -1 + 5 - 3. Let v = 2 - -2. Solve -k*m + 2 = -v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 0 = -0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 b when three letters picked without replacement from {e: 2, b: 4, w: 2, j: 2, v: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 - 18*q**4*u - 2*q**2*u - 44*q*u - 3*q wrt q?\nAnswer: 240*q**3 - 432*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 383*y**4 - 2*y**3 + y**2 + 57*y wrt y?\nAnswer: 9192*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 83*p**2 + 1250*p + 161. Let f be y(-96). Let h(n) = -2*n**2 - 3*n. Let d be h(3). Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqzz when four letters picked without replacement from zzntqntwzznqnqqnzntq?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 43. Let w(j) = 47*j**2. Calculate w(g(u)).\nAnswer: 752*u**4 + 16168*u**2 + 86903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 6)*(-19*b - 20*b + 4*b).\nAnswer: 175*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-15) + -1 + 0. Let d = 2.53 - -84.77. Let t = d + -87. Which is the nearest to 0? (a) h (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 116.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3220 + 6483. Let g be (-1)\/5 + h\/65. Suppose x - 2*x + 2*u + g = 0, -4*u - 4 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + f + 1670 = -4*f, -5*f = 4*r - 1363. Suppose 0 = 2*c - 29 - r. What are the prime factors of c?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5615*m - 75259 - 121266 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**9\/6048 + o**8\/560 - o**7\/140 + o**6\/90 + 43*o**3\/6 + o + 24. Let d(l) be the second derivative of w(l). Factor d(j).\nAnswer: -j**2*(j - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p - 0*p. Let j(u) = -7*u - 80. Let q(n) = 20*n + 225. Let f(z) = -17*j(z) - 6*q(z). Give f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3662560, 3662559, 3662554, 3662545, 3662532?\n\"Answer: -2*b**2 + 5*b + 3662557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**7\/840 - y**6\/360 + y**5\/120 - y**4\/24 + y**3\/2 - 4*y. Let i(r) be the second derivative of v(r). What is i(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)\/n)\/n**6)\/(n**(-6)\/(n**0\/n)) assuming n is positive.\nAnswer: n**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 52.61?\nAnswer: -368.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*g - 14*g + 160, -5*g - 71 - 34 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 14*v**3 + 28*v**2 + 16*v.\nAnswer: 2*v*(v + 1)*(v + 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4390 and 9.48?\nAnswer: 41617.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -14*q - 984. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-374544)\/140 - 2\/5. Let r = t - -2682. Calculate the common denominator of (6\/24)\/(6\/(-536)) and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43941.433 - 43974.433101. Let c = k + 33. What is c rounded to 6 decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07242331 to three decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.05 (b) 0.3 (c) -386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2143, -1980, -1819, -1660?\n\"Answer: -x**2 + 166*x - 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-5) - 8\/(-20). Let m(o) = -o**3 + 2*o**2 - 1. Let n be m(-1). What is the first derivative of a - 18*f**n - 1 + 21*f**2 wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -10, 2\/23, -5.643?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -5*t - 4*j, t = -t - 4*j + 148. Suppose 0*b = 2*b - 8, -2*b - 62 = -5*q. Calculate the greatest common divisor of t and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259130 (base 11) to base 4\nAnswer: -1203132100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i**4 - 15*i**2 - 5\/6*i**3 + 17\/120*i**6 + 0*i + 0*i**5 + 0. Differentiate y(u) wrt u.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 - (-1267)\/21)\/(10\/12). Solve -6*t - h = -34 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l - 2*l)*(4*l**3 - l**4 - 4*l**3 + (-2*l - 2*l**2 + 2*l)*(l**2 - 3*l + 3*l))*(2 + 8 - 7).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k**2 + 17*k - 8. Let x(h) = 5*h**2 - 8*h + 4. Let o(z) = 4*v(z) + 9*x(z). Factor o(c).\nAnswer: (c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9953726?\nAnswer: 2, 43, 115741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + (-4 + sqrt(242))**2)) + -1 + -3.\nAnswer: -262 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(0 + (-2)\/(-2)). Suppose -3*b = -v*b + 26. Let c = 18 - b. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**3 + 2*q**3 - q**3 + (0*q**2 + q**2 - 6*q**2)*(0*q + 6*q - q))*(-q + q - 3*q) to the form m*q**3 + s*q**2 + w*q**4 + d + v*q and give w.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 414\/5, -147, -0.4?\nAnswer: 414\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h + 75. Suppose f - 6 = h. Let c = f + -9. Calculate the highest common divisor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - v + 9, 11*c - 2*v + 16 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8518 to the nearest one hundred.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36212 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(1216) + sqrt(95)\/((sqrt(135)\/sqrt(3) + sqrt(45))\/sqrt(9) - sqrt(5)))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.3, 0, -206?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100121 (base 6) to base 15\nAnswer: 24ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 31 - 1. Suppose m*u = 3*u + 46. Let j = 29 + -6. Calculate the greatest common divisor of u and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/28 - -2)*18620\/3800\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/5 (b) -1 (c) -0.2 (d) -0.5 (e) 1.7 (f) 17\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 644400 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -i - 0, 0 = -3*i - 2*c + 18. Let v(b) = 11*b + 2. Let j be v(3). Let a = -25 + j. Calculate the remainder when a is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/70 + 151*f**6\/24 + 3948*f**5\/5 - 1323*f**4\/2 - 2079*f**2. Factor y(o).\nAnswer: o*(o + 126)**2*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 + p**2 - 5*p - 2. Is m(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 1?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:16 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -659 divided by 76\nAnswer: -659\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 12327350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 427\/6768 + -1\/1692. Let m(f) be the third derivative of 0*f - 13*f**2 + 1\/120*f**5 + 0 + 0*f**3 - b*f**4. Find c, given that m(c) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-28)*(-1 + (-17 - -11))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 11*c + 7*c + (1 + 3 - 3)*(c + c - 4*c).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o - 2. Let j(b) = b. Let m = -1152 + 1153. Determine m*z(x) - 5*j(x).\nAnswer: 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -17263?\nAnswer: 17256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/229 (b) 3 (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s - 34. Let f be w(-5). Let y be (-4 + 3)*(1 - (0 + f)). Solve 19 = -o - y*o + 5*p, -o + 3*p = 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.196 + -0.137. Let j = 0.941 + w. Let f = -1\/37 - -83\/333. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + n + 28 = -2*n, s = -n + 12. Suppose 5*z = -4*v + 4, 0*z - z - 3*v = s. Let d(p) = -p**3 + 5*p**2 - 4*p + 5. Determine d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 3*a + 2*a - a + 10 + a**2 to p*a**2 + w*a**3 + m*a**4 + v + y*a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -504691 and -101.9.\nAnswer: 51428012.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16111 - 16108. Solve 2 = -2*a + 6*b - 8*b, -m*a + 4*b - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-207)\/54)*2\/9*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1.18, -1\/3, -12, 3, -1\/48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3353501 (base 7) to base 2.\nAnswer: 1100101101110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0 + 1\/12*k**4 + 0*k + k**2 + 1\/20*k**5 + 1\/3*k**3. Let y(t) = 48*t**2 + 33*t + 33. Determine 33*f(q) - 2*y(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6982712 divided by -11\nAnswer: 634792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 12629682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 48. Which is the biggest value? (a) 2 (b) -3 (c) -5\/4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 64. Calculate the highest common divisor of b and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 33. What is the remainder when 62 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/3 - 2\/3. Suppose 0 = 5*p + 2*w - 1175, 4*p + 0*w - a*w = 917. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78383446 and 9290.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 402217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*r**2 + 15*r**2 - 95*r**2 as s*r + o + x*r**2 and give x.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 12:32 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 + 792*k**2 + 12284*k - 102432 = 0.\nAnswer: -776, -22, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 74?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/13)\/y*y)**(-32) assuming y is positive.\nAnswer: y**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 40*g - 1 + 19*g to o*g + q and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**25*x*((x**(-17)\/x)\/x)\/x assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*k - 14 + 88, 5*v + 5*k - 185 = 0. Suppose v - 1 = 2*x. Suppose 4*u = 2*c + 18 - 2, -c - x = -4*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 - 403338*r**2 - 2419947*r\/2 - 907470.\nAnswer: -3*(r + 67220)*(2*r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k. Let x be (5 + -4)\/1*0 + 13. Suppose x*r - 141 + 102 = 0. Solve 0 = -3*c - 2*i - 13 + 35, k = -4*c + r*i + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*a - 7*a - 4*d, -5*a + 140 = 5*d. Solve -33*o + 9 = -a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.3 (c) -191 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 210634 (base 8) to base 7\nAnswer: 411132","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/(((-986)\/203)\/34).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l + 0*l + 171*l**2 + 62*l.\nAnswer: 171*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 (base 13) in base 7?\nAnswer: -2464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolqwxi. What is prob of sequence xi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2307?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39, -220, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 2509, 3616, 4743, 5896, 7081, 8304?\nAnswer: 9571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -120?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6841 is divided by 569.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 4. Let h(r) be the second derivative of r**4\/12 + 4*r**3\/3 + 5*r**2 + r. Let c be h(a). Sort 3, -2, c in decreasing order.\nAnswer: 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4\/(-14)) + -3. Solve -d*i - i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 55. Let j = -22 - -59. What is the remainder when j is divided by f(21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0088 - -0.8088. Put -2, -0.1, c in ascending order.\nAnswer: -2, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)\/(1 + (-12)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 5*n - 6. Let a be l(-6). Suppose 3*k - x - 19 + 2 = a, 5*k - 45 = 5*x. Solve k = -0*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 2. Let s be f(1). Let b(c) be the third derivative of 0*c + 0*c**s + 1\/240*c**5 + 2*c**2 + 0 + 1\/48*c**4. Factor b(j).\nAnswer: j*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Suppose d*r - 37 - 13 = 0. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 104. Let h(y) = -y**2 - 12*y - 7. Let a(x) = 4*x + 18. Let v be a(-7). What is the remainder when z is divided by h(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 889 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*r - 2*r - 68, 3*r - 4*p - 70 = 0. Suppose -2*c - 4*z = -256, -29*z + 2 = -31*z. Calculate the remainder when c is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 361.8 and -762.\nAnswer: -275691.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -957, -1542, -2141, -2760, -3405, -4082, -4797, -5556?\nAnswer: -6365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171319\/16 - -10704. Let b = t + -293\/16. Let q = -4321\/10 - -1933\/5. Calculate the common denominator of q and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (24 - -1) + 1847 + -1859\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4\/7 (b) -0.04 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 40 - 41 = 0, w = -r + 1. Which is the nearest to w? (a) 32 (b) 0 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/3496*9338\/(-812)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2, -3, 1\/6, 9, -666 in descending order.\nAnswer: 9, 2\/3, 1\/6, -2, -3, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535 divided by -639.\nAnswer: 535\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 65. Let b = -2233363 - -11166848\/5. Calculate the common denominator of s\/46 + (1 - 2) and b.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -29 - 21 + 72 - 2*k - 22. Let t(y) be the second derivative of 17*y**3\/6 + y. Calculate t(f(m)).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/7702604 and -31\/2912?\nAnswer: 61620832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 354 = n, -5*g + 2*n = 3*n - 1786. Let o = -322 + g. What is the remainder when 71 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 5. Let t be s(-1). Let n be ((-11)\/t)\/((-6)\/72). What is the greatest common divisor of 363 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/3 - p**2 - p. Let b(v) = -5*v**2 - 24*v + 133. Let m be b(-8). Give l(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3487205*i**3 + 544*i**2 + 26*i - 1.\nAnswer: 20923230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-192)\/(-160))\/((-6)\/(-70)). Solve -p = -4*h + 3*q - 2*q, -4*q = -h + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 16*r**2 + 16*r - 37. Let g be z(17). Suppose -2*d + 4*m - 109 = -3*d, 0 = 5*d - m - g. Calculate the remainder when d is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p + 15, 0 = -4*w - 4*p + 8. Suppose -436 - 86 = -w*u + 3*s, 220 = 2*u - 4*s. What is the remainder when 103 is divided by u\/(-4)*8\/(-6) + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 <= -2580.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17853 divided by -3\nAnswer: 5951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*w + 16773, -2*w + 8376 = 19*k - 17*k. Suppose 3297 = 9*j - k. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*r*s**3*w**2 + 2*r*s**3 - 3*r*s**2*w**2 - 2*r*s*w**3 - 20*s**3*w**3 wrt w?\nAnswer: -12*r*s - 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427104 * 1757.\nAnswer: -750421728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12083.9 and 0.4.\nAnswer: -4833.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*s + 22 = 4, 4*s - 4 = 3*b. Is b at least -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5305 divided by 5\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 plus 91.47773835142?\nAnswer: 65.47773835142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/41 (b) 0.1 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27 less than 9011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2. Let n(r) = -1 - 10 + 13 - 634*r - 2. Give g(n(k)).\nAnswer: -803912*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - f = 3*v - 8, 5*v = 4*f - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -0.4. Let a = 1 + 3. Sort a, -4, r in increasing order.\nAnswer: -4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3935, 7870, 11805, 15740, 19675, 23610?\nAnswer: 27545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (545240\/(-1585))\/((-32)\/(12\/3))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*((sqrt(1331) - 1*(0 + sqrt(1331)) - sqrt(1331)) + 2*(0 + sqrt(1331))) + -4 + (sqrt(1331)*-2 + 1 + sqrt(1331))*-4))**2.\nAnswer: -880*sqrt(11) + 33339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 108773 - -4?\nAnswer: 108777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6079518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6108487+-0.21\nAnswer: -6108487.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.016 and 295.\nAnswer: 295.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o + 0 + 65*o**2 - 2*o**3 + 1\/20*o**5 - 3\/8*o**4. Solve z(q) = 0 for q.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, -352, -789?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30323 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o**5 - 2*o**5 - o + (3*o**3 - 4*o**3 - o**3)*(130*o - 130*o + 6*o**2).\nAnswer: -13*o**5 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15942 and 39855?\nAnswer: 79710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**4 - m**3 - 2*m**2 + 5. Let r(z) be the first derivative of -4*z**5\/5 + z**4\/4 + z**3 - 7*z + 1. Let b(t) = 7*f(t) + 5*r(t). Factor b(a).\nAnswer: a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3713 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/2889, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 13 (c) 57 (d) 175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1053 divide 891891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23*l**3 - 5*l**2 + 6*l. Let g(t) = 68*t**3 - 16*t**2 + 17*t. Let a(d) = -6*g(d) + 17*o(d). Let y be a(8). Round y to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841, -1904, -3273, -5032, -7265, -10056?\nAnswer: -13489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -102 (b) 3 (c) 1.3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -y - 0. Let f = -11 - y. Suppose -x - 4*x + 25 = f. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 times 0.44246\nAnswer: 50.8829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/5)*l)\/(l\/l**(1\/33))*(l\/l**(-4\/21))**(-5))**(-7\/3) assuming l is positive.\nAnswer: l**(1664\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a**2 + 120*a - 80. Give w(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164073 is divided by 11719.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304839 = -4*b + 4*v + 54043, 250799 = -4*b + v. Round b to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**2)*(275*c**3 - 30 + 25 - 91*c**3 - 2*c).\nAnswer: 184*c**5 - 2*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4527, 9033, 13539, 18045, 22551, 27057?\n\"Answer: 4506*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:44 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (191\/2)\/(2\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbzzzddzdbbzzzzzdd. What is prob of picking 2 z and 2 b?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10770\/13 + 828. Suppose -d = -0*d - 0*d. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((432\/60)\/12)\/(102\/(-20))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-152)*456*(-9)\/(-432)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 158.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*d + 8, 12 = 5*d - 3*g + 2. Sort d, 20\/189, 0.2, 2\/15 in ascending order.\nAnswer: 20\/189, 2\/15, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -99\/13462 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4 - 392919*p**3 + 3928365*p**2 + 68754075*p + 196444500 = 0.\nAnswer: -5, 20, 130963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6022*b. Let i(y) = -74*y. Calculate i(u(f)).\nAnswer: -445628*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6284 - 1975. Solve -f*r - 42 = -4302*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -108*d - 283. What is the remainder when 1635 is divided by t(-4)?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 + -198.2. Let o = j + 8.19999732. Round o to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2015 and 26598.\nAnswer: 132990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3807*w = -3752*w - 1267530. What are the prime factors of w?\nAnswer: 2, 3, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*b + 1034*b + 34935 = -115*b - 1536*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -34\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79662 divided by -2?\nAnswer: 39831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*u = -2*u + 5, 5*o - 14 = 3*u. Let j(g) = -3 + 12*g + 2 - o. Is 14 a factor of j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 + 4*t - 2. Let g be k(-5). Suppose g*f + 4*n = 310, -2*f + 0*n + 202 = -2*n. What is the remainder when f is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 - 3*l**3 - 3*l**2 + 12*l - 17. Let h be t(8). Let z = h + 108. Calculate the least common multiple of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -7?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29842800 and 832.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44069.2 and -29.6?\nAnswer: 44039.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78367334?\nAnswer: 2, 1297, 30211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 1739.1797.\nAnswer: 1735.1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:42 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-46)*d*d**1*d)\/(d**(-39)*d)**7 assuming d is positive.\nAnswer: d**223","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191 + 3*g**2 + 57*g - 589 - 602.\nAnswer: 3*g**2 + 57*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 minus -24487?\nAnswer: 24484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12 = 0, -1219*g + 1217*g + 6 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 62 + 181 = 0. Let u = 30 + b. Factor h**2 - 4*h**2 - 5*h**3 + 4*h**u + 3*h**4 - h**5 + 2*h.\nAnswer: -h*(h - 2)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139887 and 318867.\nAnswer: 94703499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. What is the greatest common factor of u and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3189 = 4*j, -4 = 4*j - 0*j. Suppose 21*v = 14*v + k. List the prime factors of v.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:17 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 128*d**3 - 16*d**2 + 32*d - 34. What is the hundreds digit of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 170016.\nAnswer: 850080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0227 + -0.0473. Sort -6.1, -4, -2\/3, m, -0.5 in descending order.\nAnswer: m, -0.5, -2\/3, -4, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/66)\/(-5*8\/40).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -49*a**3 + 4*a**2 - 4. Let j(p) = 3870*p**3 - 315*p**2 + 315. Determine -315*c(q) - 4*j(q).\nAnswer: -45*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25054481 by -1473793.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q - 5*z + 25, -3*q + 5*z = 25. Let x(c) = -c**3 + c + 62. Let i be x(q). Suppose g - 27 - i = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 115, 258, 457, 712, 1023, 1390?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -21 - ((-4)\/(-1) + -1). Let k be ((-11)\/(-4))\/((-6)\/j). Suppose 6*g = k*g - 445. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*j = -3*i - 2, 0 = -3*j + 12. Suppose 4 + i = 2*c. Solve 5*f = -c + 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2. Let w(m) = -7*m**3 - m**2 + 4*m + 8. Let f(u) = 5*k(u) - w(u). Let g be f(1). Solve -g*y = -3*y + 15, 4*d - 4*y = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1127 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**7\/2520 - v**6\/180 - v**5\/40 - v**3\/3 + 9*v. Let g(q) be the second derivative of d(q). Factor g(r).\nAnswer: -r*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1188 and 65\/7359.\nAnswer: 264924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 10*q + 5*s = -4684, -5*q + 11618 = -s. Calculate the least common multiple of 2 and q.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -256*s**3 + 8*s**2 + 68*s + 68. Determine g(-1).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 12*x - 14. Let t be p(-13). Let o(d) = -650*d**3 - 2*d**2 - 2*d - 1. Is o(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 3\/4, -93, 0.7, 2\/5, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75357402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2421.7 - -2271. Let t = k + 151. Which is the nearest to 0? (a) t (b) 2\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 46040805\nAnswer: 19\/46040805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 9\/2, -0.05, -16?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 13*m - 14*m. Suppose -m*g - 3*g = -5345. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s**3 + 5\/2*s**4 + 0*s**2 - 4 - 7*s. Suppose -j + 2 = -5. Let z(o) = -7*o**3 + 5. What is j*z(y) + 5*g(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4859 - -4863. Solve -16 = -a - 5*h, p*a = 5*a - 4*h + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236669565049 - 1359.\nAnswer: -236669566408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g + 37. Let m be h(-5). Suppose 0 = -2*i - 4*j - 2, 3*i = -i - m*j + 20. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8352 - 38 - -3*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81\/7 - 71\/7. Let p(g) = -g + 6. Let f(c) = -c**2 - 5*c + 6. Let w be f(-5). Let j be p(w). Is r at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = 28*u + 19*u - 1782. Calculate the remainder when 376 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59399 is divided by 184.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osz when three letters picked without replacement from pppzpnsvzospn.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + (-1852100)\/30 + 3)*(-3)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5724 and 2827656.\nAnswer: 2827656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - k + 107, -k = -5. Calculate the remainder when d is divided by (-6)\/21 - 384\/(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1380)\/(-161))\/(-15))\/(228\/(-84)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 25, 101, 251, 499, 869, 1385?\n\"Answer: 4*b**3 + b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorrrsnrnqnrrr. Give prob of picking 1 o and 1 r.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/109)\/(x\/x**(-6)))\/((x*x**(-16))\/(((x\/(x**(-26)\/x*x*x)*x*x)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(3817\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 5. Suppose -5 - 3 = 2*j. What is a(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1764) + sqrt(1764) - sqrt(49))\/(sqrt(1008)*-1).\nAnswer: -17*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w - 8*w**3 + 2 + 7*w**3 + 0 - 2*w**2 + 0*w**3 - 2*w to the form p + o*w + t*w**2 + r*w**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.588 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3 - 39\/4*c**2 - 49\/8 + 14*c - 1\/8*c**4 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3374*w**5 - 2848*w wrt w?\nAnswer: 67480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*d - 1 = 5, 0 = -3*n - 10*d - 56 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76540, 76539, 76538, 76537, 76536, 76535?\n\"Answer: -b + 76541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/9)\/((-52)\/(-11232)) and 528.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-5*t - 17*t - 19*t)*(0*t + 0*t - 14*t**3)*(1 + 2 - 1) to the form l*t + c*t**2 + n + a*t**4 + f*t**3 and give a.\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:23 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-532)\/(-570))\/7 + 1 + (-283)\/(-15). Let q be 12\/2*(-7)\/(-2). Is n >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5595203 divided by -5\nAnswer: -5595203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 75 + 110 - 17*j + 14*j to the form p*j + n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -0.2. Let h = i + -0.9. Let r = h - 0.100001. Round r to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 6*x**3 - 4*x**2 + 0*x**3 + 3*x**3 + 6 as a*x**2 + u*x + j*x**3 + n and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.3 + 122. Let o = u + -32. Let q = o - -2.7. Which is the closest to 1\/2? (a) 5 (b) 21 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 201 = 4*a, -3*b + 180 = 2*a - 5*a. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 294 = -2*y + 320, -5*y - 4 = 5*f - 2*f - f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356 (base 11) to base 8.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**2\/2 + 3*r + 1. Let k be (-2 + 3 + -1)*(0 + 1). What are the prime factors of f(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3364 - 4.3364. What is the nearest to 1 in -0.2, v, -0.4, -24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6627*m**4 - 2*m**3 - 16*m**2 - 745*m + 3086.\nAnswer: -79524*m**2 - 12*m - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.78. Let v = -0.08 + n. What is the third biggest value in -2, 4, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*t + 7*t + 128, 4*t - 64 = z. Is z <= -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9523 + 9522.9. Which is the nearest to d? (a) -3 (b) 0.6 (c) 304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1139, 0.4, -2\/9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ococwd. What is prob of sequence do?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:45 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1\/2)*r*r*r*r)**(1\/4)\/(((r**23\/r)\/r*r*r)\/r**(-1\/6)) assuming r is positive.\nAnswer: r**(-523\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3. Suppose 2*t = -x - 4, -4*t + 18 = -3*x + 6. Suppose 3*d + 1 = 5*n - 14, n + 3*d - 3 = t. Let c be (4 - n)*(2 - 1). Calculate i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14294387.\nAnswer: 113, 126499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1455492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16) + 2\/7 + 44\/(-154).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 107) + 40 + 25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38159807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/46760 and 18\/10535?\nAnswer: 14074760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 38\/276183 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 4*z**2 + 7*z - 2. What is h(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*j = -221*j + 1819 - 174 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**5 - 410*u**4 - 6500*u**3\/3 - 3240*u**2 - 5492. Determine p so that y(p) = 0.\nAnswer: -324, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134 - -3010?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i - 17. Let j(l) = 4*l + 6. Let d(v) = 4*h(v) + 11*j(v). Let t = 28 - 30. Determine d(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-14)*16\/(-108).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, v: 3}. What is prob of sequence vsss?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z - z + z)*(3581 + 1423*z**2 - 3581) as t*z**2 + c*z**3 + j*z + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -9*r**5\/2 + 21*r**4 + 4269*r**3\/2 - 2889*r**2 - 143370*r + 96228 = 0.\nAnswer: -18, -9, 2\/3, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -82.9. Let a = -0.09 - 5.91. Let k = a + i. Put 0.2, k, -1\/2 in descending order.\nAnswer: 0.2, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 3. Suppose 0 = -2*p - 1 - 3, x - 4*p = 5. Let z be k(x). Are 1 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -51, -8, 2 in descending order.\nAnswer: 47, 2, -8, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/70 and -82\/2121.\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.054, -124, 4, -2\/9, 29?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18163368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/89, -1\/4 in increasing order.\nAnswer: -1\/4, -2\/89, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 60 + 20 = 5*z, -3*n - 73 = 2*z. Let b be 794\/(-14) + 6\/n. Let o = b - -60. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 7 + 5*a + 10 + 4*a.\nAnswer: 9*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9161, -18324, -27487?\n\"Answer: -9163*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15576 - -25176. Is p a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.03. Let i = f + -1.37. Let r = i + 0.9. Do r and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(384) + sqrt(24))\/(sqrt(96)\/sqrt(108)).\nAnswer: -33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 5*c - 4*c)*(-2 - 5 + 3) + (3 - 6 + 4)*(-7 - 6*c + 7).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 200364*s**3 - 2830*s**2 + 1415*s. Let v(k) = -566*k**3 + 8*k**2 - 4*k. Calculate 4*o(r) + 1415*v(r).\nAnswer: 566*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13351*d**2 + 18*d - 6668*d**2 + 1 - 6679*d**2 + 155*d to the form p + f*d**2 + i*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/4 - 4*w**3\/3 + 5*w**2\/2 + 4*w + 8. What is l(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71240 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -5, 8, -1481?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 1, b: 2, e: 1, g: 1, z: 1}. Give prob of sequence ge.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 1 d when three letters picked without replacement from dxxkwvx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-10)*8035\/17677.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 28*z - 208. What is j(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -1. What is the derivative of 8 + p*u - u**4 - 3*u - 3 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = 3*d, -3*o + 3*d - 4*d = -12. Suppose 4*u = u. Suppose -o*q - 2328478 - 581522 = u. Round q to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 51, -0.1, -3, -1\/8 in descending order.\nAnswer: 51, 3, -0.1, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.93 plus 1.66?\nAnswer: 35.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 13*r**2 + 13*r - 6. Let a be h(-14). What is the remainder when -3*a\/(-6)*(-206)\/(-8) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*y - 9, 0 = 18*l - 21*l - 2*y - 3. Let q(b) = 2*b + 5. Let v(n) be the first derivative of 3*n**2 + 14*n + 1. What is l*v(c) + 8*q(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -8*c - x, 0*x + 55 = -c + 5*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 + -5?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 + 187. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2\/7 - 1180*b\/7 - 13222\/7 = 0.\nAnswer: -11, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 + 32 = 2*h + 321 - 112 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -5, 2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 2, -3.\nAnswer: -3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 294*t - 2*t**4 + 3*t**2 + 4 + t**4 + 6*t**3 - 288*t - 4*t**3 in the form z*t + h*t**4 + c*t**3 + q*t**2 + g and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 + 13. What is the highest common factor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (342\/(-45))\/(4\/(-10)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*-50*(-5)\/(-15). What is the highest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -899041 by -6287.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1108616 weeks?\nAnswer: 67049.09568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371*b - 845*b - 61*b)*(4*b + b - 6*b).\nAnswer: 535*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17*j**2 - j + 1. Let q be r(1). Let f = 20 + q. Suppose -41 = -f*k + 103. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -382 + 97. Let f = -64 - c. Suppose -7*p = -31 - f. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + 2*g. Let b(f) = f**2 - f - 1. Calculate 2*b(o) + u(o).\nAnswer: -3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-19))\/l**(-2\/3))\/((l*l**(3\/5))\/l**28))**(3\/11) assuming l is positive.\nAnswer: l**(136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -684.35 + 683. What is a rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v + 10. Let i be l(-9). Let a be (10\/(-8))\/((-10)\/i). Is 552\/(-30)*a\/4 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 402370.\nAnswer: -4426070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10587 less than or equal to -148203\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12*2*(6 + 78). Solve -3*p + 4*g + 30 - a = 0, 4*p + 16 = 3*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + -31 + 2. Let g = l + 41. Calculate the remainder when 23 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 91*x**2 + 56*x + 623. Let c be p(-45). What is the highest common divisor of c and 3136?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w. Let z(d) = -10*d - 1. Give -3*v(b) - 2*z(b).\nAnswer: -7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 191, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 10*i + 6 - 17)*(-4 + 1 + 2).\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 24*t + 45. Suppose 4*d + 118 - 130 = 0. Let u(q) = -9*q**2 - 71*q - 132. Let o(m) = d*u(m) + 8*l(m). Factor o(r).\nAnswer: -3*(r + 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1, 5\/3, -0.3, -23, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9898 + 43.9992. Let v = -48.062 + 0.062. Let k = q + v. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4854*p**2 - 2426*p**2 - 2430*p**2. Let y(f) = 30*f - 8. Calculate d(y(s)).\nAnswer: -1800*s**2 + 960*s - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-182)\/63)\/13)\/(105\/(-1575))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*a**2 + 3 + (-2*a**2 + a**2 - 2*a**2)*(1 + 1 + 0) - 2*a - a**2 + 2*a + 6*a - 3*a - a**2 + 2*a**2 + 1.\nAnswer: -9*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 7*k**3 + 2*k**3)*(k**2 - 2*k**2 + 3*k**2) + 11*k**2 + 100*k**3 - k**5 - 100*k**3.\nAnswer: -5*k**5 + 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 512183 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 31 - 5. Let n = r - -14. Let t(p) = 3 - 4 - 8*p + 4*p + p**3 + 3*p**2 - 2*p**n. Give t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/10*4\/6. Let r = -1.3 - -11.3. Let t = 8 - r. What is the nearest to x in 1, 4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/264 (b) 3 (c) 2\/5 (d) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from nhhnhhhhhhhhhhhhhh?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, -26, -351 in decreasing order.\nAnswer: -4, -26, -31, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1153*o - 21. Let i(a) = 225*a + 4. Give -11*i(h) - 2*k(h).\nAnswer: -169*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2 + 1\/4*g**3 + 61\/4*g + 8*g**2.\nAnswer: (g + 1)**2*(g + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 125610*l**2 - 3*l - 125610.\nAnswer: 3*(l - 1)*(l + 1)*(l + 41870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5708023076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865388894 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*3)\/sqrt(4) + 1 + 0 + -2.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-15) + (-4)\/(-6). Let q = -2 + 1. Is j >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 1, q: 1, z: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.251 + -10.751. Let v = l + 22.5. Which is the second biggest value? (a) v (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 2 = -4*n. Let w = n + -6. Suppose -w*i = 0, -5*i + 6 = 5*y - 2*y. Calculate the smallest common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6754?\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2 - 162*d - 45?\nAnswer: -2*d - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -5*d**3\/6 - d**2\/2 - d. Let b be (-10)\/9 + 29\/261. Give g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650314000 rounded to the nearest one million?\nAnswer: 650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:42 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*t - 236288 - 210373. What are the prime factors of t?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 17*x**2\/2 - 3*x + 14. Let u = -8 - -12. Is c(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 45 = 81. Suppose -g*c = 12, c - 2 = 5*t - 30. Solve 0 = -t*q - p + 5, -2*q + 10 = -3*q + 2*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-43)\/2*(5 - 7). Let a = f + -40. Suppose -12 = 3*r, -3 - 1 = -a*d + r. Are d and -2\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 5, -122620 in decreasing order.\nAnswer: 5, -1, -14, -122620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -16 (c) 0.133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5 + 102*v**4 + 862*v**3 + 1714*v**2 - 384*v - 2296 = 0.\nAnswer: -41, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 + 3*m + 5. Suppose 6 = -3*a + 2*d + 58, 3*d - 32 = -a. Suppose 15*q - a*q - 20 = 0. Determine r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 3*f**2 - 2*f - 2. Let j(u) = -u**2 - 8*u - 2. Let w be j(-8). Let i be r(w). List the prime factors of (i + -6)*2\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171039 rounded to 3 dps?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**2 + 4468376*y + 992972.\nAnswer: (y + 496486)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 24. Let q be 10\/(-36) + s\/(-27). Which is the nearest to q? (a) 2\/5 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 136 = 140. Suppose i + 2*w = 8, -v*w + 8 = -6*i + 4*i. Suppose z + o - 75 = 0, i = o - 0 + 3. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*f - 3*w - 20, 0 = 5*f + 2*w - 49. Let t = f - 0. What is the lowest common multiple of t and 8\/(-6)*3\/(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -182b?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:43 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*o + 43370, -87*b + o = -88*b + 21681. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1530?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x - 1. Let b(r) = -478*r - 3. Calculate -b(a) + 5*c(a).\nAnswer: 443*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9740 = 5*k + 50255, -5 = -k. What are the prime factors of y?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*h + 520, -2*m + 4*h = -h - 342. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 33, 5246, 2 in descending order.\nAnswer: 5246, 33, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 4. Which is the nearest to 0? (a) -2\/9 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5179 - -5238. Solve -28*f - 3 = -c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 1:50 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20066 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/10 and 37\/167.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4575*m**2 + 5006*m wrt m.\nAnswer: 9150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 + -0.5. Let f be ((2 - 2) + 0)*-1. Let g = 411\/10 + -83\/2. Which is the nearest to z? (a) g (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3*k - 2\/3*k**2 + 24.\nAnswer: -2*(k - 2)*(k + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1800)\/1316250)\/(2\/(-15))?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20\/189 + 6148\/945. Let b(s) = -2*s + 4. Let j be b(0). Let x be j*3\/3 + 1. Which is greater: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 < 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 1, g: 2, k: 2, y: 1}. Give prob of sequence gyi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11289*m + 10 = -11292*m + g, -5*m + 2*g - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.72 - 0.08. Let r = p - 0.2. Let d(q) = -q**3 - 6*q**2 + 7*q + 4. Let o be d(-7). Which is the second biggest value? (a) r (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -4d1c7?\nAnswer: -4d1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 - 67242*n\/5 + 134488\/5.\nAnswer: -(n - 2)*(n + 67244)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-2*(-6*(sqrt(99) + 1 + sqrt(99)) - (2 + sqrt(99) + -4 - sqrt(99))))**2.\nAnswer: -856320 - 17280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 18. Let y = 11 - 10.1. Let m = y - -3.1. What is the nearest to 1 in m, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1226313 and 16053552.\nAnswer: 176589072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8006 + 8782. What is the remainder when x is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -361\/8, 0.3, 2 in increasing order.\nAnswer: -361\/8, -0.8, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 - 4*w**2)*(w**2 + 4*w**2 - 3*w**2) + (2*w**3 + 2*w**3 - w**3)*(-w + w - w).\nAnswer: -13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484335119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 10*b + 6*b)*(2*b + 0*b + 0*b)*(2 + 2 - 3).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 4*f - 29. Suppose -52*a = -f*a - 56. What is the remainder when a is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -167964?\nAnswer: 83982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002243 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(170)*-2 + sqrt(170) + (-2*sqrt(170) - sqrt(170))*-3 + sqrt(170))\/((-3*2*sqrt(160) - sqrt(160)) + (4*sqrt(160)*1 - sqrt(160))))**2.\nAnswer: 153\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 - 11*z**2\/2 - 6*z + 9. List the prime factors of i(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 9*j**2 + 6*j - 1. Suppose d - 32 = -4*f, -4*f + 4*d + 36 + 16 = 0. Is t(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 876 + -850 - (27 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -4251?\nAnswer: 16\/4251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1. Let x(q) = 2*q**2 - 40*q - 14. Let s(l) = 5*l + 2. Let p(a) = 24*s(a) + 3*x(a). Give 6*m(f) + p(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.018, 16.3, 2, 8.9 in increasing order.\nAnswer: 0.018, 0.1, 2, 8.9, 16.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: aa7c8 (base 15) to base 13\nAnswer: 15c791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-2) - 490\/60?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((1\/6)\/((-30)\/120)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4252*l - 12757. Give f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 3. Let z be p(-7). Let a(g) = g**2 + 5*g + 4. Suppose w + 1 = -4. Let o be a(w). Solve 0 = -3*h - z*c, 5*c - 5 = -9*h + o*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 399 + 2*s + 1235*s**2 - 199.\nAnswer: 1235*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**2 + 1040*o + 37046. Give f(239).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503314 divided by 2?\nAnswer: 751657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -30*r. Let y(d) = -171*d - 25079. Give y(h(k)).\nAnswer: 5130*k - 25079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose -112 - 14 = -j*a. What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 3*n**2 - 2*n**4 - n**4 + (-2*n + 4 - 4)*(-8*n**3 - 21*n**3 + 3*n**3).\nAnswer: 49*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14712 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -5 (c) -55 (d) -8 (e) -2 (f) -2\/9 (g) -1775\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 41*q**2 - 44*q + 14. What is the tens digit of l(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**2 - 6 - 8 - 17*z - 2*z**2 + 10*z**2. Let q be (7 - 3 - 7) + -10. What is the remainder when k(q) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 23*w**2 - 4*w**2 + 16*w**2.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 252347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + 0) + sqrt(13) - -2*sqrt(1872) - (5 + sqrt(13) + -1 + 2) - (-3 + 3*(-3*(0 + sqrt(1573)) + sqrt(1573))))**2.\nAnswer: -516*sqrt(13) + 96157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 15*i**2 + 11*i - 14. Let z(o) = -o**3 + 2*o**2 - 2*o - 6. Let f be z(-2). Let p be t(f). Let b = p + 129. List the prime factors of b.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250090913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -142, -138, -134, -130?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5012877*0.061.\nAnswer: 305785.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a214b (base 12) to base 7.\nAnswer: 3623450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21792, 84507, 189032, 335367?\nAnswer: 523512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*200\/(-250))\/((-10)\/50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 25. Suppose -2*x + 180000 = -k*x. What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - h + 101 - 21 = 0, 0 = 5*i - 2*h + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 203\/4. Let t = -5.97 + -0.03. Let i be -7 + (-3 + 2)*-2. Put u, i, t in ascending order.\nAnswer: t, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4586, 9155, 13722, 18287, 22850?\nAnswer: 27411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (10\/70)\/((-1)\/(-8))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16700*y**3 - 11431*y**2 + 11431*y**2.\nAnswer: -16700*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 - -4.2. Let y = 4.5 + -2.6. Let v = y - u. What is the nearest to -2\/5 in 0.2, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 11 - -2) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 258 = 20*v. Calculate the remainder when 66 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22027913111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50697 + 12562 = -29*y. List the prime factors of y.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1051*m**2 + 1033*m**2 - 14 + 941*m**2 - 2879*m**2)*(-3*m - 1 + 3 + m) to f*m**2 + j + p*m**3 + h*m and give f.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1339728 and 37392?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2361 + 21334. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2480 = 652. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 1, w: 1, k: 1, l: 2, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445416080.\nAnswer: 2, 5, 5567701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 596\/12 + (-2)\/3. Suppose -1 = -5*g + u. List the prime factors of ((-528)\/60)\/((-4)\/g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a. Let j(i) = -9983*i**2 - 2*i. Determine r(j(d)).\nAnswer: -119796*d**2 - 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8900, -8899, -8898?\n\"Answer: o - 8901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, -0.1, -0.0558?\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44529*w**5 - 1194*w**4 + 5*w**2 - 20305*w + 111 wrt w?\nAnswer: -2671740*w**2 - 28656*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*z + 18. Suppose v = -5*a + 2, -26*a + 29*a = -4*v - 9. Solve a = 5*k - z*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 42580304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 898*y**2 - 11*y + 2. Let h(g) = 2*g. Calculate i(h(q)).\nAnswer: 3592*q**2 - 22*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37162 by -133.\nAnswer: 37162\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 + s + 2. Suppose 0 = a + 6*a - 14. Suppose 15*b - a*b = -2*b. Give q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*l = -24, 15 = 5*l + 40. Let c = q + -12. Suppose -3*p + 2 = -2*n - 2, -c*p + 9 = -n. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29631 and 6308.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:05 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -6\/21619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 20 = 0. Suppose a*g + 4 = 7*g. Find the third derivative of 2*c**2 - 15*c**g + 2*c**2 + 10*c**2 - 13*c**5 wrt c.\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -721, 1\/5, -0.1 in decreasing order.\nAnswer: 1\/5, -0.1, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16360 and 6135?\nAnswer: 49080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 854 and 2.\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wic when three letters picked without replacement from ccwiciiwc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(6*(-8)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5892247 - 21.\nAnswer: -5892268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = -y - 0*y, 2*y = s - 11. Which is the smallest value? (a) -3 (b) s (c) -2\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10924 - 0.3?\nAnswer: -10924.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*k**2 + 803*k**2 - k**3 + 0*k**3.\nAnswer: -k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - l**3 - 3*l**3 + l**2 - l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 7. Let g be q(4). Suppose g*o - 8*o + 280 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most -0.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 5:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13239?\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/1344)\/((-62)\/42).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (2 + -2))*5. Suppose -2*u - 44 = -6*q + 3*q, b*q - 66 = -4*u. Suppose 16 + 38 = 2*p. What is the remainder when p is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 8. Let c be x(-2). Let k = c - -6. Suppose -7*i = k*i - 603. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 4. Let y = -546 - -545. What is the nearest to y in -3, 3\/2, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/528*1\/(203\/58)?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 3*p**2 - 23862*p**3 - 1 - 31693*p**3 + 4 - p. Let x be n(-3). Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834260116 divided by -4?\nAnswer: -208565029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*j - 36*j - 27040 = 69888. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 + 10*d**2 + 19*d + 149. Factor a(f).\nAnswer: (f + 1)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 10*n = -8*m + 3, 0 = m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -177*1\/(-5) + 39\/65. Solve 0 = j*a - 45*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 1. Let u be s(7). Suppose -3*q + 211 = 2*g, -2*q - 411 = -4*g + 3*q. What is the greatest common factor of g and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -72*h - 16. Let f(k) = -85*k - 20. Let p(r) = 4*f(r) - 5*t(r). Let w(m) = 133*m**2. Calculate p(w(a)).\nAnswer: 2660*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1991368 to the nearest one thousand.\nAnswer: 1991000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i - 435. What is the remainder when x(52) is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3627 and 65?\nAnswer: 18135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 4*u + 33. Let o be a(-5). Differentiate -7 + 51*i**o + 48 - 132*i**3 wrt i.\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (777\/(-42))\/37*12. Let d(q) = 13*q + 39. Calculate d(z).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.076757 in -3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 21*i**2 - 28*i + 73. What is the hundreds digit of o(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*(j**8\/j)\/j*j)\/j*j*j\/(j**(-1\/4)\/j))\/(j**(-3\/5))**(-6) assuming j is positive.\nAnswer: j**(153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 88121 and 88813 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let l(t) = -16 - 13 - 15 + 42 + t. Suppose -5*d + 2 = -8. Suppose -4*r + 10 - d = -a, 2*a - 2 = -r. Determine r*l(b) - 3*z(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**2 + 2*c**3 - 63*c**2 + 29*c**2 + 38.\nAnswer: 2*c**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*sqrt(112)*-2*6 + 3 + -3.\nAnswer: 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o + 51*o + 180 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 1 + 7*v**2 - 5*v**2 - v**2. Calculate the remainder when 22 is divided by k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2397278, 4794532, 7191786?\nAnswer: 9589040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10098374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, t: 3}. What is prob of sequence yy?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqiiqtqqiiiitii. What is prob of picking 1 q and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2029552964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6291.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 99*l**3 + 19*l**2 + 11*l - 11. Let c(j) = 32*j**3 + 7*j**2 + 4*j - 4. Let k(g) = -11*c(g) + 4*u(g). Determine k(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide -2193*(-33)\/(17 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351 (base 7) to base 3.\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1416 + 1341 - 2813 - 3*b**2 + 9*b**4 + (-b**3 + 3*b**3 + 0*b**3)*(0*b - 6*b + 4*b) to the form t*b**4 + x*b**3 + i + n*b + y*b**2 and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*i - 11328, -4*f + i + 11332 = 5*i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*n = -310*n + 14. Let r(l) be the third derivative of -1\/12*l**4 + 0 + 0*l + 0*l**3 - 7\/60*l**6 + 7*l**2 + 1\/6*l**5 + 1\/35*l**n. Factor r(f).\nAnswer: 2*f*(f - 1)**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 + 3*o + 7. Let r be t(-4). Let c be 0 + (r\/(-1) - 3). Does c = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) + -1*sqrt(153))*-5) + -2)*6*-6 + -1)**2.\nAnswer: -15336*sqrt(17) + 203329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.159 - 0.12. Let u = q + 28.879. What is u rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029104 to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*k - 68, -4*k - 35 = -9*k. Solve q = -55*v + 75 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-765)*3)\/((-1)\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 9) + (-3)\/(-1). Let j = -0.5 - -0.3. Sort j, l, 4 in decreasing order.\nAnswer: 4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*h + 8. Suppose h*b = 2*b. Suppose b = -4*s + 2*s + 36. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4426245 and 47385.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -0.4, 3\/4, -1\/5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**5\/60 - y**4\/4 - 4*y**3\/3 - 154*y**2. Give u(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -0.3, 53, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -416246*k + 255969 wrt k.\nAnswer: -416246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6151267 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*a - 2207 - 1041 = -273 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 80*c**3 - 5*c**2 - 6*c + 89. Let l(d) = -80*d**3 + 6*d**2 + 5*d - 119. Give 4*i(v) + 3*l(v).\nAnswer: 80*v**3 - 2*v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222303 or 220478?\nAnswer: 220478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**2 + 13. Let f(q) = 25*q. Determine f(h(l)).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1141643\/50 + -22833. What is the common denominator of -169\/3540 and g?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(26)*-2)\/(sqrt(242) + 1*sqrt(242)*-5).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2173, 2180, 2187, 2194, 2201?\nAnswer: 2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z)**(-15)*(z\/(z*z**(-1\/3)))**24*(z\/(z*z\/(z*z\/(z*((z\/(z**1\/z*z))\/z*z)\/z))))**(-8\/5)\/(z\/(z*z**(-1)))**27 assuming z is positive.\nAnswer: z**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 14 = -3*n - 0*n, 0 = -3*u - 12. Let y(j) = 0*j**n + 2*j - 5 + 4*j - j**2 + 10. What is y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -676, 301?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3434757 milligrams?\nAnswer: 0.0003434757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/((-1)\/(-8)). Let i = 7.6 + -7. Let v = i - 1.6. Which is the closest to v? (a) u (b) 2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/3*f**4 - 5\/2*f**5 + 0*f**2 - 10\/3*f + 0 + 15\/2*f**3 = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*j + 20, 3*r + 0*j = -j + 15. Let w(f) = 0 + 5 - f + 0*f. Determine w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - 1\/(-2)*-6. Let s = d + 13. Let c(x) = x**2 + 30*x + 193. Let t be c(-21). Solve s*h + 21 = -5*p, -t*h - 4 = -5*h + 2*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208054 + 17*h**3 + 208054.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*k + 27, -6*k = 10*v - 9*v - 15. Put v, 89, 3, -4, -2 in descending order.\nAnswer: 89, 3, -2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2357 (b) 3 (c) 763\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q. Let l(c) = 1. Let u(t) = t + 5. Let j(g) = 5*l(g) - u(g). Determine m(j(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:31 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*q - 5493 = -36*q + 5254 - 4078 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 37. What is the lowest common multiple of 30 and v + 5\/(-4) + (-18)\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.61895 nanograms in kilograms?\nAnswer: 0.00000000000761895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - c = 5*o - 4, -o - 4 = -3*c. Let p(u) = 8*u - 3*u + 2 + 1 + o*u. Calculate the remainder when p(5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3, -0.13, -16, -2\/3, 0.1, -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - i + 60 + 84 to the form q + c*i and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01876654 to 5 dps.\nAnswer: 0.01877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {u: 1, y: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143.4 - -143. Let k be 1 + -2 + (-20)\/(-25). Sort 0.9, -3, h, k.\nAnswer: -3, h, k, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d - 702. Let g be n(-64). Solve 2*h - 10*c + 9*c + 12 = 0, 0 = -g*h + 5*c - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101 - 194 + 93 + 1103*k to the form t + j*k and give j.\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 2:32 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(18\/5)*c*c**(1\/6)*c)**(-36\/7) assuming c is positive.\nAnswer: c**(-1038\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-38)*k*k**(-7\/3)*k)\/(k*k**(-6))**25 assuming k is positive.\nAnswer: k**(260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 4268*w**2 - 4216*w - 51168.\nAnswer: -4*(w - 1066)*(w - 4)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*a**3 - 163*a**3 + 171999*a**2 + 145*a**3 - 848*a**3 - 171999*a**2.\nAnswer: -1795*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-88) + 21\/(-11) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230\/3 + 76. Let b(t) = -6 + 1 + t**2 + 3. Let w be b(0). What is the second biggest value in -1, u, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-10))\/(-3))\/(-6*(-28)\/(-280))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2685*s - 108*s - 538*s - 142764 - 43772 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c. Suppose 3 - 1 = -2*u. What is the least common multiple of (-40)\/(-2)*1\/2 and x(u)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 6036*x\/5 + 8512224\/5.\nAnswer: -3*(x - 956)*(x + 2968)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Let t(z) = z**2 - 2*z - 4. Let p be t(y). Suppose -h + 15 = s - 2*h, 0 = p*h + 20. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-25))\/(4\/70). Suppose -5*h = s - 69. Calculate the least common multiple of 7 and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -2\/105 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15640\/(-1065))\/(-23) - (5 + ((-416)\/24)\/4)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 458637*p\/7 + 458634\/7.\nAnswer: 3*(p + 1)*(p + 152878)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkkjmk. What is prob of picking 1 k and 1 m?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 6*a - 3. Let k be f(-5). Suppose 3*o - 7 = k*i, 3*i - 3*o = 2*o - 13. Suppose 3 = c + 1. Solve -i*s = -3*s - c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 79373840*m + 787525809543200.\nAnswer: 2*(m + 19843460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-22)*18315\/1332)\/((-2)\/((-4)\/65))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13556900 a multiple of 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 4, g: 2, v: 1, e: 5}. Give prob of picking 2 d.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 4. Let v be z(4). Let j(b) = b**2 - 6*b + 4. Let m be j(11). Let l = 63 - m. Solve d = v, 6 + 3 = 3*n + l*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121724, -121712, -121692, -121664, -121628?\nAnswer: -121584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 951 = -o - 3*k, -3*o - 4*k - 575 = 0. Is -189 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 241*m + 17 - 40.\nAnswer: 241*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3)*4\/3. Let f = 87951\/50 + -1759. What is the third smallest value in 2\/3, f, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118343759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 111. Suppose -11 - 199 = -m*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 329 = 215 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24259 (base 10) to base 4.\nAnswer: 11323003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23182, 93323, 210224, 373885, 584306, 841487?\n\"Answer: 23380*y**2 + y - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12662.152 to the nearest 100.\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 23*k. Let d(b) = -11*b - 50. Let f(c) = -15*c - 71. Let a(o) = -7*d(o) + 5*f(o). What is a(s(g))?\nAnswer: 46*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20700\/161)\/(-10))\/((-2)\/7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - -261. Let n = -96 + w. Suppose -3*i + n = 8. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/24 - c**3\/6 + 10*c**2. Let a be y(1). What is the highest common factor of 6 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 12. Let o be b(6). Let h(f) = -8*f**2 - 432*f**3 - 14 + 8 + 6 + 4*f. Let l be h(o). Round l to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 37. Let f = 3.01 - 0.01. Let r = f + 2. What is the smallest value in r, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 13*w + 10*w + 8*w - 46 = 0, 0 = -w + 2 - 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.135 (b) 448\/3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k\/k**(-8\/3))))**(1\/62)\/(k**(-8))**49 assuming k is positive.\nAnswer: k**(36460\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p - 3. Let b(m) = 32*m + 7. Let u(s) = 3*b(s) + 7*c(s). Let g(x) = -x. What is -3*g(q) - 3*u(q)?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37046, -37047, -37048, -37049, -37050?\n\"Answer: -s - 37045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 12*u**2 - 4*u - 2. Let h be c(-12). Suppose 4*k + 2*r - 65 = k, h = 2*k + 4*r. Let x = 53 - k. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8 = -2*y. Factor 0*j**5 - 4*j**4 + 30*j**2 - 30*j**2 - 2*j**5 - y*j**3.\nAnswer: -2*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -21) + (-20 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.26, -4\/5, 1\/4, 0.02, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k - 14. Let s(b) = 2*b + 1. Let f(g) = 5*s(g) + y(g). What is f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9092847 rounded to 2 decimal places?\nAnswer: -9.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204812242.7 rounded to the nearest 1000?\nAnswer: 204812000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 55*i**2 - 20*i - 55. Let w(a) = 6*a**2 - 2*a - 6. Let m(s) = 2*t(s) - 19*w(s). Let j(d) = 5*d**2 + 3*d - 5. What is 2*j(n) + 3*m(n)?\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - 85\/(-15). Suppose 20 = 5*p + 3*c, 2*p - b*p - 2*c = -11. Let s = 6 - p. Do -1\/4 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131533902 to the power of 1\/2, to the nearest integer?\nAnswer: 11469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.36, 1.4, 204?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b1 (base 16) in base 7?\nAnswer: -10143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k. Let p be 7 + (-4)\/12*(0 - -6). Suppose 5*d - d - 4*m - 20 = k, -2*d + m = -p. Solve -4*u - u - 15 = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + (-49)\/35. Is 23 + (-3)\/(k + 4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15746 - -23454. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 2. Let k(v) = y - 8*v**2 + 0 - 7*v - 6. Let f(z) = -z - 7 - 5*z - 7*z**2 + 3. Give -7*f(h) + 6*k(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 - 13 = -8*z. List the prime factors of 4 + -8 + z\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 413? (a) -1 (b) 4\/5 (c) 8 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 28*u - 29*u + 7, 2*u = 4*s + 14. Solve -111*o + 106*o = s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 132*b + 133.\nAnswer: -(b - 133)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - -4. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 23*d**5\/5 + 9*d**3 - 35. What is the third derivative of z(x) wrt x?\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 17.3395?\nAnswer: 17.4395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77532560 to the nearest integer?\nAnswer: 8805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.4, -4, 0.3 in decreasing order.\nAnswer: 0.3, -0.4, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34937 not equal to 34935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -8162255 and 5.\nAnswer: -8162250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*i = 2 + 2, d + 2*i - 4 = 0. What is the second derivative of 3*w + d*w**2 - 3*w - 2*w + 3*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000 + 10010000101001110?\nAnswer: 10010000110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561301129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 + (-336)\/(-10). Suppose 9*q + o + 3 = 0. Let z be 1*(4\/16 + 13\/q). Is z greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6134850 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + (-105)\/(-45). Suppose -g - 4*g + u*x + 641 = 0, 4*x = -4*g + 500. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*10\/(-24)*3. Let z(j) = j**3 + 6*j**2 + 5*j. Let f be z(q). Suppose f*i - 651 = -7*i. Calculate the remainder when i is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-3 - 0 - -5 - 7) + 20 + 39.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*((v*v*v**1\/v)\/v)\/v*v))**(-22)*(v\/v**(-2\/7))**(-1\/65) assuming v is positive.\nAnswer: v**(20011\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000899507 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9968 divided by -4?\nAnswer: -2492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 22 + 10)*(-v**2 - 2*v**2 + v**2)*(v - 2 + 2)*(-4 + 17 + 9) as s*v + p + o*v**2 + l*v**3 and give l.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.011893+-95940\nAnswer: -95939.988107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 + p - 12. Let q be r(3). Solve a - 3 = f, -a - 3*f - f - 7 = q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 524 - 909?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2624 - 2619. Which is the smallest value? (a) -30 (b) q (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 2*y + 2*y)*((0 + 0 - 2)*(3 + 3 - 4) + 1 - 4 + 1).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -38. Let b be ((-12)\/z)\/((-3)\/(-30)). Let m = 14 - b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 734 - -3?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1708985271 to the nearest integer?\nAnswer: 41340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 196, -40, -574, -1406?\n\"Answer: -149*b**2 + 211*b + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1265 + 8943\/7. Let d = -85163\/7 - -12173. Factor 60\/7*k**2 - v*k + 2\/7*k**4 - 18\/7*k**3 + d.\nAnswer: 2*(k - 3)*(k - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.92?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*v = -4, o - 5*v + 6 = -2*v. Differentiate 5 + 1 - 5 + o*s - 2*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*o + 166 - 381, 5*o - 70 = 5*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*q - 8 + 68. Factor -54 + l**2 + 24*l + 15*l**2 - 18*l**q.\nAnswer: -2*(l - 9)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 3:56 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 175231*n**2 + 6355836 wrt n.\nAnswer: 350462*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 + -120. Let u be (1 - -1) + 10\/(-2). Let t be (2 - 0)*u\/2. Put t, q, -0.5 in decreasing order.\nAnswer: q, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2938 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 841.8864 kilograms?\nAnswer: 841886400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273535718 and 436?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -8. Calculate the remainder when 9 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 + 131. What are the prime factors of 24504\/j*6\/9?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) + (-82)\/(-6). Suppose 20 = 4*o + 4. Suppose o*f - 8 = 48. What is the highest common divisor of w and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2772*m + 5625*m - 2748*m)*(3*m**2 + 0*m**2 + 0*m**2)*(-2 + 2 + 2*m) to the form u + x*m**3 + v*m**4 + j*m**2 + b*m and give v.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706033734.\nAnswer: 2, 3, 7, 16810327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29679.49 millennia?\nAnswer: 2967949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.68 + 0.08. Let p be (-2)\/6*(-2 + 182\/112). Which is the closest to -0.2? (a) p (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggrgqvgggggrrgrg. Give prob of picking 3 r and 1 g.\nAnswer: 11\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37204 - -37207. Suppose 5*q + 44 = q. Let k = q + 17. Calculate the greatest common divisor of k and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 826.522um?\nAnswer: 0.000000826522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 327 = 301 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4542562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1001765277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.3 + 7.7. Let u = 42.08 - l. Let k = 5.2 + -5. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*l + 177*l - 306 - 8259 = 0 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 525538960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-26) + 2026\/182. Let a(z) = 10*z**3 - z**2. Let k be a(-1). Let r = j + k. Sort -4, r, 1\/11 in decreasing order.\nAnswer: r, 1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((41 - 23) + -21)*(-2)\/51?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2074, -4284, -6494, -8704?\n\"Answer: -2210*b + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = 51 + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, 11 in decreasing order.\nAnswer: 11, 1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -0.5, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + 302. Let v = o + -157. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6466 is divided by 223.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.107 - -0.007. Which is the second smallest value? (a) -2 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**6\/20 - c**5\/60 - c**4\/6 - 5*c**3\/6 - 3*c**2 + 4*c. Let o(v) be the first derivative of y(v). Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**6\/120 - f**5\/20 + f**4\/8 - 5*f**2 - 3*f. Determine l(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y + 3. Suppose 2*u + 4*u + 12 = 0. Let g be k(u). Solve 3*z + 2*v = -g*v - 7, -2*z + 3*v - 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213 + -182. Suppose 20*b - i*b = -176. What is the remainder when b is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 50. Let u = 478 - 472. Solve -i + u*i = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 36*f + 3 - 1 to x*f + j and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -52. Let g(n) be the first derivative of n**2 + 2\/3*n**v + 0*n + 1. Solve g(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**9*p)\/p)\/p**(-16)*((p*p**(-6)\/p)\/p)**(-26) assuming p is positive.\nAnswer: p**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w**2 + 7*w + 2. Give o(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3784332670?\nAnswer: 2, 5, 29, 863, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*j - 12 = 304*j. Put 0, 6, j in ascending order.\nAnswer: 0, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**3 - 85*h**2. Let k(d) = 13*d**2. Calculate 6*k(p) + x(p).\nAnswer: 9*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = -2*y + 40, -3*y + 28 = o. Calculate the least common multiple of o and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*p - p. Suppose -g + 74 = -5*c, c + 0 + p = 0. Suppose -g = -3*a - 17. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o - 2*o**2 + 0*o + 8*o + 0 + 32 - 21 + 141*o**3 to i*o**2 + r*o**3 + k + m*o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*(-3 - (-49)\/28*2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:37 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -53?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*a - 49*a - 8. Suppose -h + a = -0*h. Suppose h*t - 229 = 7. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.7*3.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 1.99. Let u = 0.6 - 3.95. Let q = u - -0.35. Put q, -1\/5, b in increasing order.\nAnswer: q, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 157 + 147 = 0. Suppose -v*k + 1400 = 5*w, -5*k = -4*k + 2*w - 699. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 6*o**2 + 3*o + 4. Let u be w(-6). Let z be u\/(-4)*60\/35. Let c = z - -2. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and -31.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:16 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5766.684t?\nAnswer: 5766684000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 9\/(-3)) + 2. Let z(y) = -3*y - 3. Let r be z(-2). Solve 16 = r*u - 5*t, c*u + 8 + 2 = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4035192 is divided by 11025?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25881691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343970?\nAnswer: 2, 5, 11, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 473 + -470. Suppose 0 = -t*r - r + 16. Solve -r = 3*p - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.942 - 0.042. Let b = 1.1 + -5.1. Let q = s + b. What is the nearest to -1 in 2, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*p + 58 = 0, 288 = 5*u + 2*p + 95. What is the remainder when 1257 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 a factor of 4249822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7 = -f + 4, 2*f + 6 = 3*m. Does 24 divide 8*(-13)\/312 + (-1585)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1088) - -1*sqrt(1088)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2. Suppose 0 = 8*g - 44 - 4. Let s(q) = g*q + 15*q - 48 + 48. What is m(s(p))?\nAnswer: 1323*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 508*u + 37888. Determine k(-574).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.9024 to one dp.\nAnswer: -49.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*d + 98*d + 3*d**3 + 93*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 27. Calculate the remainder when 65\/(-78)*4\/(-10)*186 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2 + 156*s + 159*s + 2*s**2 + 4 - 313*s. Let y be (80\/15 + -4)*-3. Let k(n) = n**2 + 2*n + 2. What is y*k(j) + 3*h(j)?\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*72\/351*-26\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-30))\/(1\/5). What is the second smallest value in 0.1, q, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -20821, -2, -3, -11 in descending order.\nAnswer: 2, 1, -2, -3, -11, -20821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/13 - 76*x\/13 + 73776\/13 = 0.\nAnswer: -212, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*i - 559*i + 3*b = -15, -5*i - 3*b - 15 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:52 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3595505631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:40 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -81, -71, -61?\n\"Answer: 10*p - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + (-2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 3 = -37*p, -4*p = 3*v - 90921. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:20 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 24 = d, 0 = 2*d + 3*k - 38 + 2. Do 12 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z**4 + 494*z**3 - 494*z**3 - 546*z**2 + 1 to o*z**2 + k + a*z**4 + f*z**3 + p*z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -159. Let b(g) = -11*g + 2*g**d - 7*g**3 + 9*g. Let s(h) = 2*h**3 + h. Give 6*b(q) + 13*s(q).\nAnswer: -4*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/6)\/(3\/(18\/(-5))). Suppose -3*s + q = -q - 513, 4*q = -h*s + 342. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -26*c + 4. Let r(t) = -2*t. Give r(u(o)).\nAnswer: 52*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/344899 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6611*y + 69. Let q(n) = -6612*n - 92. Determine -4*f(v) - 3*q(v).\nAnswer: -6608*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 5*w**2 - 6*w - 4. Let f be b(6). Let q = 0.2 + -1.6. Let z = 0.6 - q. What is the nearest to -2\/3 in 0.1, f, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-5))\/((-8)\/20). Suppose -u*z = -22 - 8. Are z and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 7 + 20 + 8 - 34 + 5271*w**2 to p*w**3 + m + u*w + z*w**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-5)*b\/b**(-2\/3)*(b\/b**(1\/3))**(32\/7) assuming b is positive.\nAnswer: b**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.37 + -0.18. Round u to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2616)\/3052*(-70)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/64 and 19\/174.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0224 less than 6578688?\nAnswer: 6578688.0224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/24 - c**2. Let b = 9 - 7. Let t(g) = 3*g + g - b*g. What is i(t(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -91, 0, -11, 1, -4 in increasing order.\nAnswer: -91, -51, -11, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, -247, 5, 4 in increasing order.\nAnswer: -247, -4, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3297*j**3 + 9500 + 5517*j**3 - 19005 + 9505.\nAnswer: 8814*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:37 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -6. Let m = l + 5. Let v = m + -0.5. What is the third biggest value in 0.1, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76\/5 of a millisecond?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -183, -260, -395, -594, -863, -1208, -1635, -2150?\n\"Answer: -f**3 - 23*f**2 - f - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 - 35803*o**3 + 8593*o**3 + 27214*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-34)\/4)\/(5\/380*-2). Suppose 2*f + 17 = d. Let n be 1 + 1*(14 + 2). Calculate the highest common divisor of n and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 38*r**2 - r. Let p be 35\/30 + 1\/(-6). What is the remainder when w(p) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 6*y + 6. Let a be g(4). Calculate the highest common divisor of 126 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + w + 20 - 107 = 0, 0 = b + 5*w - 17. Calculate the greatest common divisor of 44 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (683 + -684 - (1 - 4 - (-28 - 1)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*i - 57, -21*v + i + 87 = 399 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 2:41 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -39*n + 40*n + 3*d, 2 = 2*n + 2*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 5*u + 5*u**2 + 16*u - 9*u**3 + 7 + 8*u**3. Calculate the remainder when (-21 + 1)*(-10)\/8 is divided by v(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -360, -351, -354, -369, -396?\n\"Answer: -6*x**2 + 27*x - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 7*v + 7. Let r be z(-5). Let f = 12045.96 - 12046. Which is the third biggest value? (a) r (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14534794.\nAnswer: 2, 83, 87559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41233998362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 68 = -4*z. Let r = 16 + -12. Suppose 0 = r*i - z + 14. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187.07 - 178.7. Let z = -8.4498 + x. Round z to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + c. Let g = 6 - 12. Let s(z) = 11*z**4 + 6*z**3 + 6*z**2 - 6*z - 10. Let d(u) = g*h(u) - s(u). What is the derivative of d(n) wrt n?\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*j = -6*n - 564*j - 78, -5*n - 2*j - 81 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z, -i - z - 14 = -4*i. Suppose i*t + 5*w = 5, 4*t = 2*w + 2 + 14. Let m = t + -2. Is m greater than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 44*x**3 + 2*x**2 + x + 18. Let h be z(4). Calculate the greatest common factor of h and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + ((1 + sqrt(7) + sqrt(7))*6)**2).\nAnswer: 725*sqrt(7) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9015129 divided by -16421\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.007 + -0.207. Let q = -0.15 - -2.15. Let s = -8.3 - -8. What is the nearest to q in 0.4, j, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3. Let w(q) = -2*q**3 + 12. Determine -3*j(r) - w(r).\nAnswer: 5*r**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-8)*((-2)\/5)\/((-442)\/(-221))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729582 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1222 (b) -399 (c) -0.5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {v: 3, x: 8, p: 3, u: 2, o: 1, l: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45486*g**3*s*x**2 + 282*g**3*s*x - g**2*s*x + 2*g**2*s + 43*g**2*x - 5*g*s*x**2 - 6371 wrt g?\nAnswer: -272916*s*x**2 + 1692*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 4802*v**3\/3 + 2177*v - 768. Differentiate k(x) wrt x.\nAnswer: 9604*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 23, -20, -71?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 10*w + 6. What is h(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009102 rounded to 4 decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 2*q - 12. Is c(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 9. Let i(p) = 7*p**2 - p - 5. Let o be i(2). Find the second derivative of 14*z**3 - b*z - z + o*z wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408 greater than or equal to -18\/1393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11867 is divided by 3949?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5748717?\nAnswer: 3, 13, 223, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 32*p**2 + 14. Let g be o(16). Differentiate -15 + 0*q**4 + 3 + 0*q**4 + g*q**4 with respect to q.\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*h**3 + (-3*h**3 + 6*h**3 - h**3)*(3 - 4 - 1) + 3*h**3 + 0*h**2 + 0*h**2 - h**3 - 4*h**3 - h**3 + (-6*h + 8*h - 5*h)*(2*h**2 + 0*h**2 - h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k - 4*g + 44, -4*g = 16. Suppose 2*w + 5*a = k, w - 26 = 4*a - 11. Suppose -58 = -m - w. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**21)**(-12)*(i\/i**(-1\/19))**(-1))**(-23) assuming i is positive.\nAnswer: i**(115828\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 times 397\nAnswer: 1786.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (-1*sqrt(500)*-2 - sqrt(500)))*-4)**2*5 - (((sqrt(500) - sqrt(500)*-1) + 3)**2 - (sqrt(500)*1 + -1)**2)*2.\nAnswer: -3016 - 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**5 + 13*u + 6*u**5 - 13*u**5 wrt u?\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30141 is divided by 60?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {i: 1, l: 3, n: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105761385 by 8737.\nAnswer: -12105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 7*h + 3. Let a = 26 - 49. Let n = a + 25. Suppose 0 = p + n*f - 3, -5*p = f - 24. Let r(v) = 3*v + 1. Determine p*r(u) - 2*d(u).\nAnswer: 2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3845376001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 3*h**2)*(0 + 3 - 1) - 4*h**2 + 0*h**2 + 5*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/111 (b) -1\/2 (c) 5 (d) -4 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7539*d**2 - 14*d - 107. Let g be t(-29). Round g to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6289.76 * 9\nAnswer: 56607.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let x = 612 - 548. Let b(h) = -23*h - 153*h - 146*h + x*h + 18*h. Calculate f(b(d)).\nAnswer: 480*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005831 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Let h(g) = g**2 - 2*g + 2. Let y(c) be the second derivative of -c**4\/6 + c**3\/2 - 3*c**2\/2 - 6*c. Let m(s) = 3*h(s) + 2*y(s). What is m(o(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 52*t - 28 = 43*t, -4*t + 14 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, s: 3}. What is prob of sequence msmm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 371 = 5*n - 312, 5*n + g - 698 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23131 + 42?\nAnswer: 23223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2091, -4641 in ascending order.\nAnswer: -4641, -2091, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 49807.241 * 0.2\nAnswer: 9961.4482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -663, -726, -793, -864?\n\"Answer: -2*h**2 - 57*h - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713*j**2 + 76*j**2 + 664*j**2.\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 + 2*v - 6. Let r be k(8). Suppose -6*t + r*t = -4. Let z be 30*(-1)\/(3\/t). Calculate the highest common factor of 15 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let h = -1 + w. Suppose 29327*n + 615 = 29204*n. Which is the nearest to n? (a) 2 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:51 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17.2, 0, -2, -0.02019?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 98.6 + -90. Round o to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 472901.5 weeks?\nAnswer: 286010827200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*b + 54, -190*b + 193*b - 30 = -3*d. Let m(t) = t**3 + 5*t**2 - 4. Let s be m(-5). Sort b, 1, s, 2 in decreasing order.\nAnswer: 2, 1, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 + 14*d - 11. Calculate v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -560 + -2356050?\nAnswer: -2356640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - 2*q - 5*q. Let o(f) = 2*f. Give o(r(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b**2 - 2. Let d(l) = -l. What is d(i(p))?\nAnswer: 14*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 20*a + 21. Let w be s(-15). Let m = 66 + w. Calculate the remainder when m is divided by ((-24)\/(-15))\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 4*i + 3*i)*(-65*i + 35*i - 33*i**3 + 29*i).\nAnswer: 165*i**4 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**2. Let f(z) = 2*z**2 + 102*z - 3. Give f(r(q)).\nAnswer: 162*q**4 + 918*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -11618 less than -11618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3\/3 + 5*g**2\/2 - 6*g - 2. Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:41 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p - 6*p**4 + (0 + p**2 + 0)*(-1 + 1 - 2*p**2) - 4*p**4 + 8*p - 8*p.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -43980 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2. Let n(u) = -89*u. Calculate o(n(j)).\nAnswer: -39605*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1\/4 (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 2) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*y + 66. Does 3 divide -3 - y\/(44\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46396 divided by 8?\nAnswer: 11599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h**2 - 3*h + 24. Let k be o(-9). Let g = k + -155. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*h*v**2 + 272*h + 2306851*v**2 - 480583 wrt v?\nAnswer: 70*h*v + 4613702*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 3*sqrt(468) - sqrt(468))\/sqrt(9))\/(sqrt(4) - sqrt(484)*-2).\nAnswer: 3*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -1.77. Let g = 2 - r. Suppose 0 = 87*f - 84*f + 15. What is the third biggest value in f, -2, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s. Let p(m) be the third derivative of -m**7\/1260 - m**4\/12 + m**2. Let d(g) be the second derivative of p(g). Give q(d(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -6) + -2 + -1. Let r(v) = -10 - 12 + 18 + v**2 - 2*v. Let n be r(2). Sort a, n, 0.4 in descending order.\nAnswer: a, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, 1, 14, 2, -11.\nAnswer: -23, -11, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(1 - 1 - 2) + 2*i - 4*i - i + 19*i + 2*i - 52 - 19*i.\nAnswer: 3*i - 52","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0.4, -0.384?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*h**2*t + 3*f*h*t + 2*f*h + f*t + 16291*h**2*t + 1474*h**2 + 16283*h wrt h?\nAnswer: 2*f*t + 32582*t + 2948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-63) - (-4)\/36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46530, 93063, 139596, 186129, 232662, 279195?\nAnswer: 325728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5473*i**2 - 3*i**3 - 5408*i**2 + 11016*i**2 - i**3.\nAnswer: -4*i**3 + 135*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10461699*p**3 - 3*p + 479396?\nAnswer: -62770194*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 257502?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/21971 and -52\/519?\nAnswer: 65913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2739396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(65) + 1*sqrt(65) + sqrt(65)))\/((sqrt(80)\/sqrt(4))\/sqrt(4)) - ((-2 + sqrt(1300) - sqrt(13))**2 + -4 + 2)) + -1.\nAnswer: -1056 + 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*sqrt(70))\/sqrt(10)*-3.\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Suppose -4*u + q*b = 17, -b - 2*b = 3*u + 6. Let o be (-10)\/12 + (-1)\/u. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/(-15))\/4)\/(6\/(-15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -7764357?\nAnswer: -7764372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7) + 1 - (-2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272116.\nAnswer: 2, 467, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {a: 2, f: 2, y: 3, g: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 28. Suppose x*n = v - 36, -5*n - 5*v - 22 = 8. Let u = n + 6. Let z(a) = 7*a. Give z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/40 - 1\/5. Which is the second smallest value? (a) 4\/7 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**5 - 17*s**2 + 5. Let g = -29 + 34. Let y(x) = 5*x**5 - 16*x**2 + 4. Let v(a) = g*y(a) - 4*n(a). What is the third derivative of v(u) wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-39)\/36 - (-2 - -1)). Let x(a) = 5*a + 35. Determine x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768*n + 20196 + 35417 = 189*n - 20710 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15. Let r be 7\/(-9)*(-16)\/(-56). Let a = 61.3 + -60.7. Put a, r, s, -2 in decreasing order.\nAnswer: a, s, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/149, -0.5 in increasing order.\nAnswer: -0.5, -3\/149, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218 + 213. What is the closest to -4\/9 in 2, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2. Let y be t(2). Suppose y = -3*g + 6*g - 6. Suppose -c + 12 = h, 5*c - 18 = g. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -2, 0.5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*z - 10 + 58, 6*z - 103 = 64*j - 391 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91421489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132106 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-6) - (-3)\/9. Let o = s - -4. Calculate the remainder when 30 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 26 + 85 - 146 - 14*a.\nAnswer: -14*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.786394 rounded to 3 dps?\nAnswer: -0.786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**3 + 1\/10*c**5 + 1\/6*c**4 - 1\/15*c**6 + 0 + 0*c**2 + 5*c - 1\/21*c**7. Factor y(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(196) + sqrt(4) + sqrt(4)) - (-5 + sqrt(7) + 3).\nAnswer: -8*sqrt(7)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 235004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 273\/60 - 1\/(-5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452153 (base 6) in base 8?\nAnswer: -400505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -75. What is the remainder when 78 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*i**4 - 2*i**3 - 6*i**2 - 632*i + 2098847 with respect to i.\nAnswer: 96*i**3 - 6*i**2 - 12*i - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 685*k**2 - 15479*k + 53055. What is b(-707)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245895 divided by -6.\nAnswer: 81965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/4 + 2)*1424\/1068.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -a?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 28 - (0 + -1). Suppose 2 + u = 3*k. What is the least common multiple of 2 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1.139\nAnswer: 3.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let d(k) = -45*k**2 + 25*k + 25. Suppose 12*b - 5*b - 42 = 0. Let r(x) = 11*x**2 - 6*x - 6. Let w(i) = b*d(i) + 25*r(i). What is w(p(l))?\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31561864 = -175*y + 18036931 - 12789120. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*u - 238 = -u, 4*r = u + 242. Suppose -5*k - 4*y = -132 - r, 2*k + 3*y - 81 = 0. Solve 5*i + k = 14*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38179\/8628 + -6\/719. Let a = 4\/135 - 16\/15. Find the common denominator of a and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-50)\/(-60))\/(1\/6). Suppose 1105 = y*x - 4*c, 24*x - 665 = 21*x + 2*c. Is x a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -4.1?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 8. Let m be p(-4). Suppose 14*x - 13*x - 230 = m. Suppose 20*a = 22*a - x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/9)\/(12\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.988 + -40.45749. Let r = g - -0.47. Round r to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = -12. Let b(i) = -2*i**2 + i - 1. Let j be b(w). What are the prime factors of j\/(-3) + 3\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 40 = -3*i - 6, 4*i + 13 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5020 - -5016. Sort 1\/6, f, -52.\nAnswer: -52, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*z - 2*p - 102, -2*z - 5*p = -85. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 138.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/5, -2\/15, -0.05?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l**(-1\/8))\/(l*l**(-3)*l*l*l**5) assuming l is positive.\nAnswer: l**(-95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9 + 0.1. Let v = t + -7.2. Sort 5, v, 0.4 in descending order.\nAnswer: 5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 42*z + 715. Let w be m(-17). Sort -6, 1\/5, w, -0.5 in increasing order.\nAnswer: -6, -0.5, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 7*x**2 + 9*x - 9. Give l(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79990.\nAnswer: 2, 5, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32083, -32095, -32121, -32167, -32239, -32343, -32485?\n\"Answer: -i**3 - i**2 - 2*i - 32079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -21023534?\nAnswer: -21023541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -37) + 1 + -80 + (-8 - -10).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18547 - -18551. Sort 1, 44, 3, y, -5.\nAnswer: -5, 1, 3, y, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370587, -370603, -370619, -370635, -370651?\nAnswer: -370667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {e: 1, o: 4, k: 6, v: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/(-20))\/(-9 + 609\/70))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52679 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470 and 2011271.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 94, 219, 404, 655, 978?\n\"Answer: y**3 + 21*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2. Let p be f(-1). Suppose -p*u = -5*u - 21. Let i = u + -17. Solve -4*g = -4*y + 32, -7*y + 3*y - i*g = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -662382, -662428, -662474, -662520, -662566, -662612?\nAnswer: -662658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 152 = 2*b - 146, 3*x = -4*b - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 4. Let d be s(4). Let j = -4 + d. Suppose 2*c + 3*o - 6*o = 17, j = 4*c + 4*o - 44. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.831+-0.2\nAnswer: 53.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -25 (c) -5 (d) 930 (e) 0 (f) 3 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1, -9, -21, -37, -57, -81?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -39*m**2 - 9875*m - 1877. Let n be v(-253). Suppose -4 - 59 = -p. Calculate the greatest common divisor of p and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 13*a - 350448 = 0. Suppose 3*p - 6*b + 10*b = -a, 41709 = -5*p - 3*b. What is p rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 21 = -21. Suppose 0 = -4*t + t - s. Let u = t + 9. What is the second smallest value in u, 3\/5, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -886*d**3*i**2 - 10*d**3*i - 7*d**3 - 4*d*i wrt i?\nAnswer: -1772*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/315*5)\/(4*(-1)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + -3.67. Put j, 3, 6\/5 in decreasing order.\nAnswer: 3, 6\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkoo when four letters picked without replacement from {k: 1, m: 4, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 320 - 300. Let d(x) = x**3 - 21*x**2 + 18*x + 7. Let j be d(z). Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053863 to 5 decimal places.\nAnswer: -0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-2*sqrt(700)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 695428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8874, -17744, -26614, -35484?\nAnswer: -44354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + f - 5*f)*(-1 + 2 - 5)*(7*f + 2*f + 2 - 7*f) in the form i*f + p + j*f**2 and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 2. Let t(y) = -y - 2. Calculate 2*g(u) - 3*t(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 a factor of 1825959275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.23 - -53.23. Let s = 51.845 - l. Round s to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(76) + sqrt(76) + -1 + sqrt(76) - sqrt(76)) + 0 + -5 + 2*sqrt(76) + 0)**2.\nAnswer: 32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8379, 1, 0, 5, -45 in descending order.\nAnswer: 5, 1, 0, -45, -8379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 453685399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 31. Let f(j) = -j**3 - 57*j**2 + j + 74. What is the remainder when v is divided by f(-57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21902917 and 12084368?\nAnswer: 350446672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 52?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -24. Solve b*m = 4 - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 99 = -0*v - h, -2*v + 114 = -2*h. Let s = v + -8. Calculate the remainder when s is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m*m*m**(-5))\/m)*m**(-9))\/((m\/m**(-1\/5))\/m)**33)**(21\/2))**(-44) assuming m is positive.\nAnswer: m**(26796\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6100 - 26107 = -3*v, -2*v + 3*u = -13355. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7488876524 to the power of 1\/2, to the nearest integer?\nAnswer: 86538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.5. Let s = -488 + 485. What is the nearest to -0.1 in 1, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b - 234. Let d be o(-19). Let h be 1\/d + 77\/(-528)*4. What is the third biggest value in h, 6\/11, -0.2, 6\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/212 and 52738\/3710 + -14 - 2\/10?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ca4 - e?\nAnswer: 4c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:56 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3107 + -3103. Let j = -0.43 + 0.03. Which is the nearest to 7? (a) j (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -31431.\nAnswer: -3\/10477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/j*j)\/j)**28)**(-4)\/(((j*j\/(j**(2\/5)\/j))\/j)\/(j**(-1\/12)\/j))**34 assuming j is positive.\nAnswer: j**(-2737\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952727318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 26 (b) -77 (c) 1 (d) -137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200 (base 4) to base 13.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60560\/7 - -8634. Let h = j - -596\/35. Which is the smallest value? (a) 4 (b) 1\/4 (c) -5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.192 times -42670\nAnswer: 8192.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 - 6*u + 6. Let p be n(6). Let r = p + 1596\/5. Factor 0 - 2\/5*l - r*l**3 - 8\/5*l**2.\nAnswer: -2*l*(l + 1)*(3*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, m: 1, o: 10}. What is prob of sequence me?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 9, d: 1, t: 1, w: 5, v: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*h**5 - 128958*h**4 + 12645*h**2 + 58*h.\nAnswer: 780*h**2 - 3094992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/9 (b) 0 (c) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w**2 + w**2 + 20 - 5*w - 19. Calculate x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-4\/9)))**(-2\/9) assuming r is positive.\nAnswer: r**(-8\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10916143, 21832285, 32748427, 43664569?\nAnswer: 54580711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 25, -9, 560\/19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37112860511 and -3.\nAnswer: 37112860508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 518 + -212. Let w = 320 - g. What is the highest common factor of 266 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-8 + 1 + 64). Suppose -59*b + 254 = -s*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 81238?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14*b + 10. Let m(s) = -s + 1. Let l be -7 + 12\/18*9. What is l*p(f) + 10*m(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:47 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 - 222. Solve -9*l + s*l + 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12. Sort k, 7, -4.\nAnswer: -4, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4029033 from 4.\nAnswer: -4029029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (990\/(-1650)*((-40)\/(-234))\/(-1))\/(-2).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4573967?\nAnswer: 29, 109, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 13. Let z = 36 - 41. Let g be p(z). Let y(o) = 5*o**g + 0*o**3 + 6*o - 6*o**3 - 4*o**2. What is y(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61299329 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20616 and 0.102.\nAnswer: -20615.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 111 - 126 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 - 10*b**2 + 8*b - 3. What is the smallest common multiple of u(2) and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o - 0*n - 2*n, 3*o + 4*n = 7. What is the first derivative of 6*m**3 + 2 - o + m**3 - 3*m**3 wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*d = 0, 11750*k + 15*d - 30 = 11750*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = a - 5*c, c = 5*a - c - 20. Let m = -593 + 904. Suppose 5*q = a*g + 391, -4*q + 2*g - g + m = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/5)*r)\/r*r)\/(r*r\/((r**(-2\/47)*r)\/r)))**(-9) assuming r is positive.\nAnswer: r**(1782\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.7114kg in micrograms?\nAnswer: 609711400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 27872478?\nAnswer: 55744956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -486306 by 6.\nAnswer: -81051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = 2*b, -2*b + r + r - 12 = 0. Let j = b + -1. Let o be (4\/6)\/(6\/(-9)). Sort o, -5, j.\nAnswer: -5, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389114 at most as big as 2389116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s + 25*s + 9*s to the form c + j*s and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose -c*o - m + 3*m = -22, 3*m + 27 = 4*o. Solve -10 = o*i + 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 16*l + 28 = -11*l + 65, -22 = -2*h + 2*l for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(-7)\/(-5)*(-2360)\/(-37170).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:03 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651051215 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3286*x**5 - 2857*x wrt x.\nAnswer: 65720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/24 - (203\/(-12))\/7. Suppose 15\/2*n**4 - p*n**5 + 3*n - 9\/4*n**3 - 9*n**2 + 0 = 0. What is n?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226767848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w - 12. Let g(c) = -8*c + 19. Let x(v) = 4*g(v) + 6*q(v). What is x(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2464 = 26478*k - 26401*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 47*n + 1270. Give a(30).\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 1:15 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12890429?\nAnswer: 12890429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 2*l + 19)*(-136 + 26 - 186) to m + c*l and give m.\nAnswer: -6216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 83*j + 61*j**2 - 23*j**2 - 83*j. Let h(x) = -x**2. Determine z(h(r)).\nAnswer: 38*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-15))\/(238\/5355). Solve -x*a - 8 = 100 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cch when three letters picked without replacement from {h: 10, c: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/60 - (-2048)\/(-60). What is the common denominator of (-5)\/(-36)*(z + 24) and -115*-1*2\/48?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/23, 3\/2, 0.043, -2\/15?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*j = 3*f - 27924, f + 5*j = 5540. Calculate the least common multiple of f and 84.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.442076mm?\nAnswer: 8442076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11311030 - 2?\nAnswer: 11311023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/20)\/((-1)\/(-38)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/((-6)\/48). Let a = -6 + j. Find the third derivative of 147 - 147 - 4*t**4 - 2*t**2 + a*t**2 wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 28 + (-53 - -34)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 178825988?\nAnswer: 894129940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 425.68.\nAnswer: 422.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiq. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2445833 to the nearest 1000.\nAnswer: -2446000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z**3 + 3. Let l(m) = -14*m**3 + 4. Calculate -4*a(k) + 3*l(k).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1473 < -1473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 108 + -697 + 612?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/18 - (-2)\/4. Let m = 108 - 106. What is the smallest value in -1\/8, m, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -47 in ascending order.\nAnswer: -47, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**3\/6 + 9*y**2\/2 + 6*y. What is the remainder when 20 is divided by p(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 8 (c) 4 (d) 0.1 (e) -1\/39958 (f) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1694974 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16929 + -16926. Sort 40, 1, g, -4 in descending order.\nAnswer: 40, g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 121 - 126. Sort 0, f, 3, 1.\nAnswer: f, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 <= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -165. Let y = -42 + -56. Let k = u - y. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 55 = z - m, m = 4*z + 155. Let v = z - -127. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-3)*((-15)\/(-42) - (-36)\/72)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51602 is divided by 366.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-27)*9\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from hhhhhdhzdzh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 = 5*w + 2, -4*w - 28 = -4*l. Suppose -3*b + 42 = 3*a, -8*a + 5*b + 92 = -l*a. What is the greatest common divisor of 252 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 34. Let q be i + (-30)\/(-6) + -25. What is the closest to 3 in q, -2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89, 373, 841, 1493?\n\"Answer: 92*o**2 + 8*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 886c4?\nAnswer: -886b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -31*z + 21*z. Solve f + z = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*g = 2*b + 18, 5*b + 2*g - 66 = 0. Suppose 244 = -4*m + b. Let k = 55 + m. Let w(o) = 2*o**2 - o + 2. Calculate w(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1280116496 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68e9a - 5?\nAnswer: -68e9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71718 and 1572?\nAnswer: 18790116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26451 divided by -3?\nAnswer: 8817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -651 - -703. Suppose -20*j = -7*j - t. Solve 0*o + 8\/9*o**3 + 0 - 8\/9*o**2 - 2\/9*o**j = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {t: 14, b: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmxmxmxmxmmxxm. What is prob of sequence xmxx?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 2:24 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 2, f: 2, g: 1, w: 2, p: 4}. Give prob of sequence pogf.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/4 - 2*m + 101. Let y(v) = -13*v**2. What is y(t(f))?\nAnswer: -117*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*s + 1293*s + 966 = 690*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17285481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79016238 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 150\/49 (b) 0 (c) -26 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4890962, 4890948, 4890926, 4890896, 4890858?\n\"Answer: -4*p**2 - 2*p + 4890968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 1.85\nAnswer: 20.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 374307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/23)*x**1)\/(x**(-1))**(-1) assuming x is positive.\nAnswer: x**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2399406271\/3696 + -649190. Calculate the common denominator of g and -103\/12.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/105*92\/184?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 8:07 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/272 and 89\/26371296?\nAnswer: 448312032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/8, -0.2, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9200 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**2 - 14*k + 14*k + 62*k**2. Let w(z) = -2*z**2. Give c(w(l)).\nAnswer: 208*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 5*v**2 - 4*v - 16. Let f be d(6). Let l = f - -6. Solve -j = -l*z, -5 = -2*j - 5*z + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5111 - 0.5?\nAnswer: 5110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58556 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(352)\/sqrt(11) + (sqrt(20)*2)\/sqrt(10) - (sqrt(22)\/(sqrt(33)\/sqrt(3)) - (sqrt(24)\/sqrt(192))**2).\nAnswer: 1\/8 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.093 * -0.4.\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:05 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35115 - -35137. Calculate the remainder when 13484 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79205.\nAnswer: 5, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Suppose 2 = -0*g + g - y, -3*y = -4*g + 8. Let n(h) = h**g - h**2 - h**2. Calculate l(n(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 199316 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 17 - 3 = 0. Sort 0.4, -2\/7, c in ascending order.\nAnswer: c, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -720974*k**2 + k - 39596700 wrt k.\nAnswer: -1441948*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 440 = 2*o. What is the least common multiple of o and 22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133296 and 49986?\nAnswer: 399888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -2, 8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(3 + -2)*-13. Let u = y + -9. Calculate the lowest common multiple of u and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 18, j: 2}. What is prob of sequence hh?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 52, -15, -130, -305, -552?\n\"Answer: -2*w**3 - 6*w**2 + w + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24978 + 43278. Round r to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*m + 63 = -8, -4*p + 2*m + 248 = 0. Let i = p + -54. Suppose i*b - 19 - 9 = 0. Solve -8 = b*z - 3*r, 4*z + 4 = r - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(-5*-2*sqrt(475) - sqrt(475)*-2*3 - (-2 + sqrt(475) + 1*sqrt(475) + -1)))**2.\nAnswer: 17640*sqrt(19) + 3352041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + m. Let y(n) = 2*n**3 + 1. Let g be y(1). Suppose 5 - 2 = -g*f. Give p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, 4, -34.6, 9, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-180) - (-1)\/(-5). Let r = -145 - -145.2. Sort 4, 1\/2, r, l.\nAnswer: l, r, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/(-49)*18\/(828\/161)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, l: 4}. Give prob of sequence lld.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 6) to base 13\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18307 is divided by 2610?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1039 + -1045.305. Let p = z - -0.005. Let x = p + 6.69. What is x rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 - -0.07. Let f be ((-2)\/4*2)\/4. What is the nearest to 1 in f, -2\/19, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283\/60 + -24\/5. Let j = -1.3 - -1. Put i, j, -3 in decreasing order.\nAnswer: i, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 0.0882, -4, -29, -5, 1\/26?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 25 = 4*w, 5*w + 20 = 3*w - 4*s. Suppose w*r + 20 = 4*r. Solve -r*f - 8 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*c + 35, 3*c + 4*y + 4 = -3. Let a be (21\/c)\/(2\/(-6)). What is the common denominator of -95\/22 and a\/28 + 69\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6387 divided by 3.\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113314031 (base 5) to base 9.\nAnswer: 8305078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*y + 4*c + 37, y - 19 = -c. Let w(r) = 20*r + y - 17 - 16*r. What is w(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*2 - sqrt(153)*2 - ((5 + sqrt(17) + 1 - sqrt(17)) + -3 + 1*sqrt(17)))**2*5.\nAnswer: 150*sqrt(17) + 2170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -2031.\nAnswer: 23\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2059*b**4 + 2*b**3 + 309287*b**2?\nAnswer: 49416*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -d + 139, 3*l = -2*d + l + 258. Let m = 989\/8 - d. What is the third smallest value in m, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*u = 56, -2*u + 41888 = -4*h + 41982 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1784 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 11 = -2*f + 4*a, f - 44 = -4*a. Calculate the lowest common multiple of f and 154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1830 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -8*r**2 + 68*r + 696 = 0?\nAnswer: -6, 29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 divided by -168050?\nAnswer: 266\/84025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*g**3 + 2*g**4 + 61*g**2 - 6*g - 748 + 151*g**3 + 746 in the form z*g**2 + i*g + p*g**3 + d*g**4 + u and give z.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241\/6 - -40. Let g = 0.097 + 2.078. Let u = g + -0.175. Which is the closest to 5? (a) 0.2 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/11)*p*p**(-11))\/(p**22\/((p**(-7\/6)*p*p)\/p)) assuming p is positive.\nAnswer: p**(-2117\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20242423 (base 5) to base 12.\nAnswer: -7b843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -737861 and -737862 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*h - 20 = 0, 3*y - 35*h = -39*h + 20. Let o(c) = 2*c**2 - 16*c + 7. What is o(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(108)*-1)**2*2.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlf when three letters picked without replacement from lfmosff?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6935039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-1) - (-735)\/245. Calculate the greatest common factor of s and 1325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*p = -7221 - 3201 - 6238 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 3*i**2 + 0*i**2 + 2*i**3 - 5 - 5*i + 8*i**2.\nAnswer: 5*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b + 5b62?\nAnswer: 5bcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 8*r**4 - 2*r**2 + 0*r**2 - 10*r**4 as d*r**3 + i*r**2 + w*r + u + v*r**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 * -800.\nAnswer: 164800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0, -3, -2\/61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(104) - sqrt(104)) + (sqrt(104) - 2*-1*sqrt(104)))\/(((sqrt(22) - sqrt(22)*-2)*3)\/(-2*sqrt(11)*-2)).\nAnswer: -64*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -54*p**3 - 21*p**2 + 4*p - 17. Determine f(-3).\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20866820 divided by 613730.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5\/5 + 24*b**4\/5 + 66*b**3\/5 + 72*b**2\/5 + 27*b\/5 = 0. What is b?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hmkmmhhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 3, -3, 1 in descending order.\nAnswer: 64, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*t = 10, 0 = 5*y + 2*t - 4*t - 1. Let d = -282 + 54. Calculate the common denominator of 73\/9 and d\/(-64) - (y - -1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/32754 and -89\/102.\nAnswer: 556818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -2555 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(320) + 1*(2*sqrt(320) + sqrt(320) + sqrt(320)) + 3 + -2*sqrt(320))*5)**2*5.\nAnswer: 672000*sqrt(5) + 5858000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -17. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0*f - 3*f)*(0 + 1 - 2) - 1063*f + 784*f - 5 + 8 to the form l*f + q and give l.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 1. Let z(b) = 3*b**3 + 14*b - 29. Give -4*o(x) + z(x).\nAnswer: 3*x**3 - 2*x - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*((2 + sqrt(405)*2 - sqrt(405)) + -1*sqrt(405) + 0))**2*-2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26532*p*s + 22074*p - 14*s**4 - 6 with respect to s.\nAnswer: -26532*p - 56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*v - 15*v - 8*v**2 - 2 + 4*v**2 + 10*v + 12*v**2 in the form x + u*v**2 + c*v and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17423 and 399.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3 + 67*u + 63*u - 131*u - 11*u**2. Let x(g) = -6*g**2 - g - 2. Calculate 3*t(b) - 5*x(b).\nAnswer: -3*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653645769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/233? (a) 2\/5 (b) -8\/5 (c) -5 (d) 5\/37 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + o)*(-37*o**2 + 4*o**2 - 7*o**2 + (-2*o + 4 - 4)*(-3*o + 2*o - o) + (3*o - o - 3*o)*(4 - o - 4)).\nAnswer: -35*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 35 = c - 22, -2*l - 38 = 5*c. Let w = -18 - l. Let s(y) = -3800*y**2 + y - 1. Let g be s(w). What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(19*v**2 - 18*v**2 + 14*v**2)*(-2*v - v + 2*v).\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 10*z**2 - 28*z - 245. What is the lowest common multiple of 84 and s(-10)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 97 = -17*l, -2*p - 152 = -5*l - 4*p - 121 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 7:59 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100 - (-251 + 140) - 118\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r**2 - 2*r. Let d(y) = -5*y**2 - 3*y**2 + 15*y**2 - 6*y**2. Calculate h(d(f)).\nAnswer: -15*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 65870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494*v = 2833942 - 2744302 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-12) - 4 - (-270)\/60. Solve 2\/21*s**p + 0 + 0*s - 20\/21*s**3 + 50\/21*s**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461324981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**4 - 13*f**3*o - 10505*f**3 + 3*f**2*o + 6*f**2 - f*o - 461726*o wrt f?\nAnswer: 336*f - 78*o - 63030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - w - 19, 3*w + 4 = -2*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 961169\/13 or 73937?\nAnswer: 961169\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-380)\/48 - (-1)\/((-18)\/108)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 18*g**2 + 20*g - 41. Suppose -4*o + 101 = 4*i + 21, -39 = -3*i + 4*o. What is the remainder when 27 is divided by b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-196 + 196 - 55*f)*(0 + 3*f - f + 1) to the form i*f**2 + u*f + q and give i.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 2*w - 5. Let b be m(4). Suppose -v = 5*y + 17, v = y - 5 - 6. Let a = b + v. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:41 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t + 2*r, 0 = -t + 5*r - 7*r - 5. Put -0.3, t, -44 in descending order.\nAnswer: t, -0.3, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22809 by 7603.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529993 and 41273.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbedge. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -59 - 16. What is the highest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuuoyuuyxu. Give prob of sequence uu.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 166*o + 164 = 0.\nAnswer: -82, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.03079 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czkcqzckczqzc. What is prob of picking 2 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -345, -2313, -5907, -11121, -17949, -26385?\n\"Answer: o**3 - 819*o**2 + 482*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(45) - (sqrt(3645) + -1 + sqrt(3645))) - ((sqrt(120)\/(sqrt(16)\/sqrt(4)))\/(sqrt(216)\/sqrt(4)))**2.\nAnswer: -51*sqrt(5) + 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 5. Suppose -153*j = -142*j - 22. Calculate the greatest common divisor of j and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 15. Suppose 10 = -5*o, -5*o = 2*m - 0 + w. Suppose m*k - 198 = -0*k. What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + 3*5*sqrt(114))\/sqrt(6).\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -246, -244, -240?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13316, 13253, 13196, 13145, 13100?\nAnswer: 13061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/9? (a) -33 (b) 12 (c) 3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4903344?\nAnswer: 2, 3, 17, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 57450, 114767, 172080, 229389, 286694, 343995?\n\"Answer: -2*d**2 + 57323*d + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1. Let p(q) = q - 2. Let v(s) = -6*n(s) + 3*p(s). Let i(j) = j - 5. Let f be 1\/5 + 58\/10. Let b be i(f). Let m(l) = l + 1. Give b*v(z) - 2*m(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.4, -1\/5451?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 172*m**7\/35 + 9*m**5\/10 + 17*m**4\/24 + 151*m**2 + 2. Find the third derivative of s(o) wrt o.\nAnswer: 24768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 + 4*g + 3. Let d be u(-2). Let r be 1 + ((-3708)\/21)\/6. Let y = -28 - r. Which is the closest to 2\/3? (a) -0.3 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-12) + 3*6\/36. What is the nearest to a in 1\/5, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) 4 (c) -2\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 517, 931, 1347, 1765, 2185, 2607?\n\"Answer: c**2 + 411*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 772664408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let q(f) be the second derivative of -f**3 - 5*f. Give q(u(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose 3*w = -k*l - 5*l + 20, 3*l = 12. Suppose 0 = 3*i - 2*h + 4*h - 7, -3*i + 5*h + 14 = w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*z = -66*z - 73*z - 147896. Calculate the highest common factor of z and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 + 14*f - 343 wrt f.\nAnswer: 4*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9351, 37219, 83683, 148737, 232375, 334591, 455379?\nAnswer: 594733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from rrfrrfrrrrf?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -102.\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100466867.5 rounded to the nearest one million?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from dodoojjodooodjodfdjd?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzvederrzvvv. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1020 and 15580.\nAnswer: 794580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:26 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2921 divided by -127?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 65, 4 in increasing order.\nAnswer: 4, 65, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1340?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 + 0*s**2)*(3*s + 0*s + 0*s)*(1 + 0*s + 7 + s).\nAnswer: 6*s**4 + 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*q - 5*k, 4*q + 4*k + 7 = -5. Let l(d) be the third derivative of 6*d**q - 1\/24*d**4 + 1\/2*d**3 + 0*d + 0. What is l(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ad2 + -4?\nAnswer: ace","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1144.1 - -1145. Sort 21, a, 0.4.\nAnswer: 0.4, a, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 855.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -5. Let k be 896\/48*(-4 - x). Let v be (k\/42)\/((-1)\/9). What is the highest common divisor of 48 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -813\/1753?\nAnswer: -813\/1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 - 153176*r + 26227936 = 0. What is r?\nAnswer: 172, 38122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = 110*s - 106*s, -5*b = 4*s + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = -4*j + 52*l + 77723, -3*j = -3*l - 58266. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -33, -7 in increasing order.\nAnswer: -33, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.8 - -10.31. Let h = o + -0.96. Let w = h + 2.4. Sort w, -2\/13, 1\/6.\nAnswer: -2\/13, w, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2962656 and 2592.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let n(x) = 19*x + 2. What is w(n(p))?\nAnswer: -361*p**2 - 76*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from nnsnsncssnssnnnnns.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from {j: 2, b: 1, c: 1, h: 1, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p - 1. Let m be -2*2\/(-8)*4. Suppose 9*q - 6*q = 5*h + 5, 4*q - h = 1. Suppose -d - m*a - 5 = q, -d + 14 = d - 4*a. Determine t(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 1:34 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -146\/9*y**2 + 118\/9*y + 14\/9*y**4 - 118\/9*y**3 + 44\/3 = 0. What is y?\nAnswer: -1, 1, 66\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21462*b**4*j + 336*b**3*j**2 + j**2 - 30*j - 251743 with respect to b.\nAnswer: 85848*b**3*j + 1008*b**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670 and 14?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 208982231 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 3. Let w be d(-1). Solve -2*f + 5*s + w + 18 = 0, 3 = -f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 8 = -4*j, -4*j - 53313*d - 8 = -53317*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 149 + 148 - 441 + 140 + 2*i**2. Let u = -1 + 4. Let p(f) = 0*f**3 - f**u + 2 - 1. Determine -2*p(g) - q(g).\nAnswer: 2*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 10*g - 38)*(3 + 0 - 2)*(-4 - 2 - 2).\nAnswer: 80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 483646153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1\/(-1) + (-150)\/(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -3. Let o be (-45)\/(-18)*12\/15. Suppose -o*a = 12*a - 3*a. Solve g*s + 9 = -a*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1085 and 8736.\nAnswer: 1354080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -35.35. Let b = -0.95 - z. Sort b, 3\/2, 0.3 in descending order.\nAnswer: 3\/2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 42*b + 32*b - 1296 = 0. What is the smallest common multiple of b and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 10 - 23)*(-88*m + 68*m**3 + 88*m) to w*m**3 + i*m + d + x*m**2 and give w.\nAnswer: -3128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1794400 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 25 (b) -4 (c) 25547\/12 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x\/((x**(-4)\/x)\/x)))\/(x*x**(3\/2)*x)*x*x\/x**0*x\/(x\/(x\/x**(-5))) assuming x is positive.\nAnswer: sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 53837.\nAnswer: -646044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 863*p**2*t**3*z - 66*p**2*t**2*z - 575*p*t**3 - 4*p*t**2*z + 163*z wrt p?\nAnswer: 1726*t**3*z - 132*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86 or -1?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = -2*r + 506, 508 = 4*x + 4*r. Let s = 23 + x. Round s to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*m = 28476, -156*m + 157*m - 42704 = -3*u. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9933.\nAnswer: 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -13712610\nAnswer: 54850440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -266140 divided by 14\nAnswer: -19010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.031, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*a - 107*a - 108*a)*(-106*a + 104*a - 35*a**3 - 15*a**3).\nAnswer: 12350*a**4 + 494*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g - 5*h, -41*g - 4*h + 34 = -46*g. Suppose 2*f - 1 = 3*f. Sort f, g, 9.\nAnswer: g, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 7*w + 9. Let b be u(6). Suppose -b*d + 7 = -23. What is the least common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 18, 51, 98, 159, 234?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1))\/y)**(-14\/11)*y**(-2\/9)\/y*y**1 assuming y is positive.\nAnswer: y**(104\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vky when three letters picked without replacement from {t: 2, k: 5, a: 5, y: 1, l: 5, v: 1}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 20871*u**2 - 104336*u + 125196.\nAnswer: -(u - 20866)*(u - 3)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzacccazzzcazckzczz. What is prob of picking 1 m, 1 k, and 1 a?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**2 - 5*m**2 + 6*m**2 - m**5 - m**5 - 4*m**5 + 6*m**5 + (-2*m**4 + 3*m**2 - 3*m**2)*(3*m - 4*m + 2*m) + (0*m - 4*m + 3*m)*(-2*m**2 - m**4 + 2*m**2).\nAnswer: -m**5 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:18 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -1, -8 in decreasing order.\nAnswer: -1, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192376936?\nAnswer: 2, 181, 132857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10682 divided by -7\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 313*r - 310*r + 134, k + 2*k + 0*r = 5*r + 74 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0 - ((159 - 85) + -54).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-163 + 70 + 403)*(0*c + 5*c - 3*c) - 2 + c + c + 4)*(-c**2 - 21*c**2 - 15*c**2).\nAnswer: -23014*c**3 - 74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 3:35 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242029 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let i be (-4)\/1*(-6)\/8. Let j(q) = 4*q + q**2 + i*q**3 + 9*q**2 - 2*q**3 - 5*q**2 - 1. Determine j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - -0.7. Let m = -0.1 + -0.1. Let r = -0.9 - -1. What is the nearest to r in t, -3\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 - 193. Solve -w*k + 23*k = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111397, 111353, 111309, 111265, 111221, 111177?\n\"Answer: -44*u + 111441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 89*s**2 + 112*s - 158. What is the derivative of c(l) wrt l?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -2.1. Let b = 225\/4 + -56. Let z = -0.8 + 0.3. What is the closest to b in z, o, 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1\/6*b**4 + 36 + 0*b**2 + 2*b + 5\/6*b**3. Let n(u) = u**2 + 2*u. Calculate 6*k(y) - 15*n(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 35.111?\nAnswer: -10.5333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107991 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 3194*m + 3193*m - 18, w + 5*m = 22 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -3*i**7\/140 + i**6\/120 + i**5\/30 - i**4\/24 + 3*i**3 + 2. Let n(p) be the third derivative of o(p). Factor n(r).\nAnswer: -(2*r + 1)*(3*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)\/(a*a*a**(-1)\/a*a))\/(a\/((a\/(((a*a\/a**1)\/a)\/a)*a)\/a)*a\/(a*(a\/(a*a**(2\/9)))\/a)) assuming a is positive.\nAnswer: a**(-97\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 12*u - 12 + 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1320 or 1319?\nAnswer: 1320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 + 9*x**2 - 9*x**2)*(-2*x**2 + 2*x**2 - 2*x**2)*(-5*x + 2*x + 0*x).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91857 is divided by 481?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1029 divide 77360220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*1377\nAnswer: -688.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) + (-1*sqrt(7) + sqrt(7) + sqrt(7))*6)**2 + ((sqrt(14) + -1*sqrt(14) + sqrt(14))\/sqrt(2))**2.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 6*s + 51. What is the highest common divisor of 153 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 - 15 - -3) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2978850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2074 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001210691 to six decimal places.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 26, -2, 52, 4 in decreasing order.\nAnswer: 52, 26, 4, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 762\/44 + 2 - (-4)\/8. Let k = -3821\/220 + x. Let v = -5743\/14 - -2827\/7. Calculate the common denominator of v and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -f - 87, 4*f + 0*f + i = -348. Let r = -45 - f. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180))\/sqrt(4).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckvbhkhkbkhv. Give prob of sequence hh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 55112172.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957875 is divided by 319107?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/3 - 8*g**4\/3 - 4*g**3 + 26*g**2\/3 + 11*g\/3 - 6 = 0.\nAnswer: -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/16 (c) 63\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10580 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrx when three letters picked without replacement from xrr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -3470\nAnswer: -17350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y - 5. Let x be 4\/(-12)*24\/(-2). Let l be t(x). Suppose 4*h = 2*h - 5*m + 35, 3*m = l*h. Solve h = -5*z - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8*i = -4*i - 1048, -i = -4. What are the prime factors of q?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1459*i**3 - 3*i**2 + 3*i - 3. Let b(p) = 9242764*p**3 + 19006*p**2 - 19006*p + 19006. Give -6*b(a) - 38012*c(a).\nAnswer: 2924*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 130. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1231 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 705*w - 705*w + 4340*w**2 to the form s + m*w**2 + d*w and give m.\nAnswer: 4340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1862394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 8*z**2 + 11*z - 11. Let u(f) = f**3 - 8*f**2 + 12*f - 11. Let o(q) = -6*u(q) + 5*x(q). Let d be o(7). Is d > -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yoyyyo.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30279842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50462, -100925, -151388, -201851?\nAnswer: -252314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = -131 + 85. Let v(q) be the first derivative of -q**5\/30 + q**4\/12 + q**3\/6 - 5*q**2\/2 - 1. Let x(h) be the second derivative of v(h). Give x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -0.1 (c) -0.11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 975176 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -158, 10, 1, -4 in descending order.\nAnswer: 10, 3, 1, -4, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17\/3, 0, -1\/2, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 15 = x, 5*g + x + 12 = 0. Let l be 2*g*6\/(-9). Suppose -l*y + 3 = -1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/9 (b) -3 (c) 2\/41 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171.2 + -191.73. Let c = -16.987 - n. Let m = 3.22 - c. Round m to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -45, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 1959\/(-216) - 232\/(-522) and -37\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmkmgvpgppc. What is prob of picking 1 p, 1 k, and 2 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m**2 - m. Let o(x) = x**3 - 7*x**2 + 11*x - 12. Let v be o(5). Let a be 3 + 20\/(3 + v). Does 27 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13533777 rounded to four decimal places?\nAnswer: -0.1353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k = -41*k + 80620. What are the prime factors of k?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:07 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1144 (b) 2\/9 (c) 0.731 (d) -11 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1533 and 849939.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3586618.8 minutes?\nAnswer: 2490.7075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -1, -4, 2\/7, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -11. Let b be u*9\/(-12) + -94003. What is b rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/7)\/(1\/3). Let j = -7203 - -7197. Put j, h, -2 in increasing order.\nAnswer: j, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 386, 2, 158, -5, 5, -4 in increasing order.\nAnswer: -5, -4, 1, 2, 5, 158, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 169177 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**3*p**4*u - 4*n**3*p**2*u - 2*n**3*p + 23*n*p**2*u + 62*p**4*u + 2*p*u wrt p.\nAnswer: -72*n**3*p*u + 1488*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1603\nAnswer: -1603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3880*m - 18. Let s be z(-2). Suppose 0 = 2*c - 4616 - s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208651 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 697276 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-612)\/(-459))\/((-1)\/(-81)). Calculate the greatest common factor of a and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from qquqn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.09 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.74 - -0.739926. Round b to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*p - 4*i, 3*i = 3*p - 0*i + 3. Suppose 0 = -11*l + 104 + 116. Suppose -d = n - 4, -p*n + l = 3*n - 3*d. Solve 10*x = 9*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -30*h + 282. Calculate the smallest common multiple of 66 and y(8).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 7:37 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0 + 18. Let k = 4 + -4. Let i(l) = -l - l + l + k. Let u(x) = -4*x + 1. What is s*i(v) + u(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by (1141 - 1136) + (-1 - -188 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (-3374)\/(-12) - (-110)\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66682, -133317, -199952, -266587?\n\"Answer: -66635*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-1) + -3)\/1. Let y = o - 0. Find f, given that y - 2\/3*f**2 + 2\/3*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y**(-7\/3)\/y)*y*y*y*y**(2\/35) assuming y is positive.\nAnswer: y**(881\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -196. Calculate the remainder when u is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:02 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 49. Suppose -8*k = -g*k. Solve k = -3*w - s - 20, 25 = 2*w - 5*w - 2*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52047.76mg in tonnes?\nAnswer: 0.00005204776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176922*s**5 - 472*s + 2 wrt s?\nAnswer: -3538440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + s + 144 = 3*w, -136 = -5*w - s. What is the smallest common multiple of 16 and 8\/3*(-2 - w\/(-8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(143)*1)\/(sqrt(1331)*-2 + sqrt(1331)).\nAnswer: -4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1400165081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -269 (base 10) to base 9.\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 - 601803*b**3 - 30177862629*b**2 + 271644697035*b - 241466232600 = 0. Calculate b.\nAnswer: -100305, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -100110111011?\nAnswer: -100110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.357915 rounded to one dp?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20248*a - 4 + 4 - 20250*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*j - g, 5*j - 45 = -4*g + 147. Let w be (-1 - -1) + 1 - -2. Suppose -2*f - w*f = -450. What is the highest common divisor of j and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -216490 to the nearest one thousand.\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 + 7*v**2 - 3*v**2)*(v + 2*v + v).\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h + 11 + 9 + 2*h**3 - 20 as n*h**2 + p + y*h**3 + c*h and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 - 254*d - 501. Let t be x(-2). Put t, -11, 39 in ascending order.\nAnswer: -11, t, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0303329 - -0.02999. What is t rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1553 + -2666?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (402 - -5)\/(0 + (-1)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7086\/(-846) - -2 - -5. Let f = -2\/47 - z. What is c in -f - 1\/3*c**2 + 4\/3*c = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63008 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - -2*(sqrt(102) - -1*sqrt(102)))\/(sqrt(486)*-3 - sqrt(486)).\nAnswer: -5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3977481524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 601\/234 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 - 2 + 3*s + s. Let u be a(3). Solve 0*p + 5 = 5*r + 5*p, -3*r + 4*p = u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (1 - 0))\/(12\/14622) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 254*v + 0 - 258*v)*(0 + 12 + 4).\nAnswer: -64*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 - -197. Is -2 - (10895\/u + (-2)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:29 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -51.9. Which is the closest to 0.05? (a) -0.1 (b) -2\/3 (c) v (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 5*m - 2. Let z(r) = -r**2 - 4. Let f be (0\/(-1))\/(2*-1). Let v be z(f). What is the units digit of o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 105410118 and 2?\nAnswer: 210820236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 34 + 38 = 0. Let i(j) = -12*j - 7. Let q be i(c). Suppose -15 = -5*r - 5*f, -5*r - 2*f = -5*f + q. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/42)\/((-3 - -1) + -3 - 18\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 + -236)*(-2)\/4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -28. Let f(d) = 22*d**2 + d + 2. Is f(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1\/(2*2\/108).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a decade in months?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121101 (base 3) in base 11?\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -7.97. Let m = -535\/8 - -3729\/56. Sort m, -5, b, -3 in increasing order.\nAnswer: -5, -3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**2 - 3*c + 23. Let s = 135 + -130. What is the tens digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 9386 = 2*i - 0*i, -3*i + 2*u = -14095. Suppose -4*j = b - i, 4*b - 10008 = -5*j + 8752. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.37 take away 19533?\nAnswer: -19598.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0, -387.1, 0.1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 613 = -2*p - 734, -2*c - 808 = 13*p for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 3. Let q(i) = i - 4. Let x(f) = 4*q(f) - 6*s(f). Let d be x(2). Let c be 1\/(-4) + d\/(-8). Solve 0*l + l + z = 0, c*z = -2*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17225322 (base 8) in base 2?\nAnswer: -1111010010101011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*m + 13. Let q be (6\/m)\/(-1)*-51. Let b = -21 - q. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepppppeeeee. What is prob of picking 2 p and 1 e?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 20 (b) -2\/393 (c) 502 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5296, -12148, -18998, -25846, -32692, -39536, -46378?\nAnswer: -53218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -242*g - 408*g - 270*g - 16560 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18320268 and 72?\nAnswer: 109921608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99891759 and 1463.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -68817 at most -68828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-102)\/7)\/((-10)\/70). Suppose -10*l + j = -18. Let b = 13 + -11. Solve 6 = m + s, 0 = -b*s - s + l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*((-261)\/45 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2086438 kilograms in grams?\nAnswer: 208.6438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165 a factor of 1573915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 89*x**2 + 3 - 5.\nAnswer: 89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65734843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) - (-97)\/9. Let h = f + -6. Suppose h*l + 4*n + 9 + 2 = 0, n - 1 = 0. Put -4, l, -2 in descending order.\nAnswer: -2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/9)\/f)\/f*f**1\/f)**(-34))**(-3\/28) assuming f is positive.\nAnswer: f**(-170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -732, -731, -730, -723, -704, -667, -606?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + 5*t + 4. Let j be c(-5). Let i(h) be the second derivative of 0*h**2 + 0*h**3 + 1\/6*h**j + 0 + h. Let s(n) = -3*n. Calculate i(s(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2 - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -3266, 5, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Which is the nearest to 8? (a) -1\/5 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9761136 divided by 58102.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.295 - -0.099. Let s = -0.5 - -0.74. Let u = a + s. What is u rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*j + 485*j + 706*j + 575*j + 688*j.\nAnswer: 2056*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111011001 (base 2) to base 9\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 265.\nAnswer: 12\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7821 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27*z + 9862. List the prime factors of q(24).\nAnswer: 2, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-70))\/((-1)\/(-7)). Solve -x*f + 4*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-286)\/3432)\/((-5)\/36).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d + 2*d + 2*d**2 - d**2 - 3*d**2 + (-4*d + 0*d + 5*d)*(-17*d - 32 + 32).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 100809189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 4, g: 1, a: 1, k: 6, n: 3}. Give prob of picking 1 g and 2 r.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15216.75 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-70)*(-61)\/732*40?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32103587647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 5315\/(-580) - 1\/4. Is 1 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:22 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-484)\/165 + 3 + (8\/(-30))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) 12\/1451 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 342 = 18*u. Calculate the remainder when u is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 + -130. Suppose -i - n = -2*i + 41, 3*i = -n + 115. Let y = i - h. Are y and 11 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)*0*1\/(-11). Solve -3*u - u - 16 = n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 9*n**2 - 8*n - 14. Calculate z(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - -2*sqrt(243))*4)**2 + ((sqrt(216)\/sqrt(3) - sqrt(18)) + sqrt(18))\/sqrt(6).\nAnswer: 2*sqrt(3) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -3*b**3 - 8*b - 1. Let p(w) = -8*w**2 - 7. Let s(o) = 5*p(o) - 4*r(o). Find the first derivative of s(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001011001 (base 2) to base 15.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 852\/(-42) + (-2)\/(-7). Let h be (-2)\/(-4) + (-150)\/l. Let k be (-3)\/4 - (-1766)\/h. Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.047891 plus -3.439?\nAnswer: -2.391109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -790 + 794. Sort -5, 25, w in descending order.\nAnswer: 25, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -402.3 * 5\nAnswer: -2011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 44 = -40. Let g(j) = 9*j**3 - 6*j**2 - 54*j + 6. Let q(w) = w**3 + w**2 - 3*w + 1. Let l(i) = s*q(i) - g(i). Factor l(k).\nAnswer: -3*k*(k - 6)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/(-8)*(-4)\/6. Suppose x = -4*n - 23. Let h(a) = a**3 + 9*a**2 + 7*a + 4. What is the remainder when 34 is divided by h(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21630 divided by -70.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/968 and -131\/33880.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3 - (10 + -4)) + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -834777577 - -18197\nAnswer: -834759380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76415 (base 9) in base 4?\nAnswer: 30113033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 12 = -6*k, -51*n + 76 = -59*n + 26*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 126854.5mg?\nAnswer: 0.0001268545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3848*g**3 - 34545*g wrt g?\nAnswer: 23088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:38 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 370825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 37*g - 40*g + 17.\nAnswer: -3*g + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*l = -6 - 2, -5*p - l + 18 = 0. Suppose -5*i + 30 = p*g, 3*g - 5 = 4*i + 2. Calculate the least common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 + -2148?\nAnswer: -2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1113 + 98 = 0. Let z = -194 - q. What is the remainder when (3\/(-2))\/((-3)\/228) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 11*s**8\/336 - s**4\/24 - 13*s**3\/2 + 2*s**2 - 3. What is the second derivative of n(q) wrt q?\nAnswer: 220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*j = 1141, 3*j + 12 = -3. List the prime factors of g.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -70995618 and -2766.\nAnswer: -70998384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/12 + 25*n**3\/6 + 87*n**2\/2 - 36*n + 21. Calculate v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 6. Suppose 0 = -n + 3*n - 6. Calculate the remainder when j is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-5 + 5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 4*h - 3. Let u be j(1). Suppose 0 = -u*i + 2*a + 752, -5*i - 18*a + 16*a = -1280. What are the prime factors of i?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 12*k + 18. Suppose 4*p + 12 = -32. Let i be d(p). Suppose 3*o - 72 = -2*x, -x = 4*o - 38 + i. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 2222 - 2222.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 3 + 31\/2*x**3 - 4*x + 21\/2*x**2. What is the derivative of n(r) wrt r?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -5*n**4\/12 + n**3\/3 - 989*n**2. Let t(m) = 70*m**2. Calculate q(t(j)).\nAnswer: -700*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t**3 + 3*t**3 + 8*t**3 - 8*t**2 + 2*t**3 - 1 as b + s*t**3 + n*t + p*t**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-146)\/(-511))\/((-1)\/28). Calculate the least common multiple of 6 and l + (6 - (-4 - 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1732?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2303 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 1 - (-2 + 1). Find the second derivative of 2*c**3 + h*c - 3*c**3 - 2*c wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 + 9*g + 2. Let s(h) = h**3 + 46*h**2 + 488*h - 87. Let z be s(-17). Let y(n) = -n**2 + n + 1. Calculate z*y(k) + v(k).\nAnswer: -k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 2*i**2 + 6. Let y(w) = 3*w**3 - 5*w**2 - 12. Suppose -3*x = -3*v - 2*v + 9, -4*v + 16 = 2*x. Determine x*y(g) + 5*f(g).\nAnswer: g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422 = -2*i + 2*h, 25*h - 27*h - 707 = -i. What is the remainder when i is divided by 252?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 67\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3)*d)**38 assuming d is positive.\nAnswer: d**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2616632, 2616709, 2616786, 2616863, 2616940, 2617017?\n\"Answer: 77*t + 2616555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5631035 (base 9) to base 7\nAnswer: 34525325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -23*o. Let g(s) be the first derivative of -s**5\/24 + 257*s**3\/3 + 101. Let j(f) be the third derivative of g(f). Determine n(j(i)).\nAnswer: 115*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*g**5 - 62*g**3*r + g**2*r + 22367*g**2 wrt g.\nAnswer: -9840*g**2 - 372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -19214 + 19214 + 10*i. Let d(q) = -21*q. Let l = 1072 + -1081. Determine l*w(o) - 4*d(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/1518 - 69073\/6072. Let t be (5 + -7)*104\/6 - 4. Let h = t + 661\/15. What is the common denominator of m and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, y: 5, v: 1, n: 2, j: 2, q: 1}. What is prob of sequence vgng?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - 11*c**2 - 28*c - 11. Is t(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 84*v - 86*v - 2*v**3 - 1 - v**2 + v**3. Suppose -4*h + 2*h + 5 = 5*r, -3*h + 14 = r. Let x be i(r). Solve 4*p - x = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s\/s**3*s*s)\/s))\/(s**(-2\/3)\/s))**17 assuming s is positive.\nAnswer: s**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(540) + sqrt(540))\/sqrt(12))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 9*t = 5167142. Suppose -4*s + 31200004 = m, -t + 10383559 = s - 3*m. Round s to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135989222 is divided by 2870.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -235\/1109557 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 638 and 0.8.\nAnswer: 510.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + f)*(-2*f - 5*f + 10*f) + (f + f + 5*f)*(13 + 11*f - 13).\nAnswer: 86*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 11. Let n = y - -34. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.35 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17126.4186ms to days.\nAnswer: 0.0001982224375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101 * -32.7\nAnswer: 3302.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 108 - 88. Solve -3*a = -2*y + 9, -8*a = -4*a - m*y + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 566, 574, 580, 584, 586, 586?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6684392432 to four decimal places.\nAnswer: 0.6684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -43000*r**2. Let a(w) = -54*w**2 - 1. Calculate a(p(s)).\nAnswer: -99846000000*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q - 10. Let n be c(4). Suppose -5*z = -0*z - n. Suppose 47 = 2*k + 3*w - 4*w, k = 5*w + z. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8)\/((-1)\/(-6)). Let p = 47 + -41. Let g = p - -1. Which is the biggest value? (a) g (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-55)\/22)\/(2\/(-4)). Suppose -5*z + 77 = -z - g*c, 1 = -c. What is the second derivative of -z*j**3 + 28*j**3 - 7*j - 15*j**3 + 20*j wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + (2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + ((1*(0 + sqrt(44)) + 0 - (sqrt(4400) - (sqrt(4400) + 1 + sqrt(4400) + 5))) + 4)**2.\nAnswer: 440*sqrt(11) + 5428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24 = 3*i - 11, -3*w - i = -14. Suppose p - 4*z = 15, -107*p + 69 = -105*p + w*z. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2503223 - 5?\nAnswer: -2503232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16125*s + 7490*s + 8643*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14331 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48438 (base 9) in base 7?\nAnswer: -163364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (676\/416)\/(1\/(-2)). Suppose -2*d - 4*c = 14, 2*c + c + 18 = -4*d. Let q = d - r. What is the biggest value in 0, -3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*l**2 + 47269*l*t**3 + l*t**2 - 486488*t**3 + 4 wrt l.\nAnswer: 212*l + 47269*t**3 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 457548 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 0.06, -2\/13, -68204, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10134 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104000 - 1?\nAnswer: 103444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 677803 = 233*v - 161793 - 519959. What is the lowest common multiple of 1556 and v?\nAnswer: 23340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 682*r**2 - 809999*r + 929283773.\nAnswer: 1364*r - 809999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/8 and 30\/707863.\nAnswer: 5662904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 40*(-9)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 115. Let d(n) = n + 10. Let a(q) = 2*q + 24. Let p(v) = -5*a(v) + 12*d(v). Give p(l(m)).\nAnswer: 2*m**2 + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 233437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + p + 3*p)*(3*p - 2*p**3 - 3*p) + (-p**2 + 3*p**2 + 3*p**2)*(6*p**2 - 5*p**2 + 9*p**2) to the form q + l*p**2 + g*p + m*p**3 + u*p**4 and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 4:52 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 = 2*i - 0*i, 0 = -g - 2*i. Let v(w) = -w**2 - 2*w**g + 5*w**2. Let r(s) = 2*s. Give r(v(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28990460 take away -348?\nAnswer: -28990112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzv when four letters picked without replacement from {z: 1, w: 2, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2640573.8 to the nearest one thousand.\nAnswer: 2641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -26*r**3 + 20*r**2 + 9*r**5 + 9*r**4 + 1274 - 1306 - 10*r**5 + 24*r = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:05 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/22 - (-16321700)\/748 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/54)\/(3\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 341, 0, -28, 0.5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 29*k - 151. What are the prime factors of w(6)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqq when four letters picked without replacement from {q: 5, p: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from whwwwhl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -726 (base 9) to base 4\nAnswer: -21033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/15*6198\/(-8).\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + -1 + -3.\nAnswer: -4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (14 - 3)*-1) + 530100\/(-44082)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/9)\/(2\/(-10)*(-1520)\/(-912)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76027 + -40510. Suppose -10021 - k = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - -12. Let x(l) = l**3 + 4*l**2 + 2*l - 3. Let n be x(-3). Suppose n = 4*u + 12 - 56. Calculate the remainder when s is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -428*w + 31640 - 26932 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m. Let c(h) = 356*h - 2. Determine c(l(o)).\nAnswer: 4272*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2275 + -1348. Let n = q + -4619\/5. Factor 16\/5*z - n*z**2 + 0 + 4\/5*z**3.\nAnswer: 4*z*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*x + 581*x + 10 = 110 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqj when three letters picked without replacement from jjdbebdqjj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 + -4)) + (1 - 15) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c = 31*c + 36*m - 261, 0 = 5*c - 3*m + 18 - 24 + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -12. Suppose 3*f = f. Which is the third biggest value? (a) i (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) + sqrt(56) + sqrt(56) + sqrt(8064)*4 - sqrt(56)) + sqrt(56))\/(sqrt(2592)\/sqrt(4)))**2.\nAnswer: 2023\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24585, -60574, -96563, -132552?\n\"Answer: -35989*r + 11404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 11:52 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(1286*q**4 + 770*q**4 + 4204*q**4) to the form u*q**2 + j*q + y*q**3 + t*q**4 + a and give t.\nAnswer: 6260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 680 or 678?\nAnswer: 680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 31 + k - 7*k + 2*k.\nAnswer: k - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/6 - -235\/78. Let o = 29614 + -29607. What is the nearest to 0 in 3, o, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 456 + 96. Suppose 4*c = 12*c - y. Suppose 5*v - c = 4*v. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1030013?\nAnswer: -1030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 - (8 + -7). Let r be (0 - 13)\/(-4 + 3). Suppose r = 2*n + 4*b - 21, -5*n = -3*b - 20. Solve -n*j + 2*j = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958554592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 131855 greater than or equal to 131859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + r**2 + 4 - 2*r**3 - r + 2*r. What is the units digit of v(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Suppose a = p + 1 - 20. Let f be 92 + 3\/6*6. Calculate the greatest common divisor of f and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8197 - 5427. Suppose -5*c - 914 = -l, -r = -3*l + c + 14. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1.5, 5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/6 + 6*i - 2. Let m(f) = f**2. Calculate 2*d(k) + 3*m(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3edd (base 15) in base 6?\nAnswer: -15050101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from qqczggzczzzqg.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 6. Let g(j) = -5 + 6*j**2 + 1 - 13. Determine -11*a(c) - 4*g(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21 - 44 - 15*x**2 - 28 + 91. Let h(r) = 7*r - 3. Give f(h(g)).\nAnswer: -735*g**2 + 630*g - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1360632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1155863738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-2\/23))**(-1\/9)\/(i\/((i*i**(-1\/6)\/i)\/i)*i*i**(2\/13))**(-12) assuming i is positive.\nAnswer: i**(107200\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16319 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 1\/3 (c) 0.4 (d) 25 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 11) to base 10.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 4.6, -25975?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:13 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let t(k) be the first derivative of -k**2\/2 + k + 2. Let l be t(u). Round l to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d**2*q**2 + 6*d**2*q - 112486*d**2 + 34*d*q**2 wrt q.\nAnswer: -28*d**2*q + 6*d**2 + 68*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3494, 5, 2 in increasing order.\nAnswer: -3494, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 16 + (-10 - (16 - 18)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2690168, 2690166, 2690164, 2690162, 2690160, 2690158?\n\"Answer: -2*z + 2690170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 24 = -0*v. Let b = 0 - v. Suppose -u - 3*z = 0, -30 = 3*u - z - 0*z. Is b bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + 1. Suppose 28*p - c*p = 50. Solve -4*h - 5*g + 45 = 0, 4*h = g - 2*g + p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i**2)\/(i**(-4))**(1\/60) assuming i is positive.\nAnswer: i**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90878, -363497, -817866, -1453985?\nAnswer: -2271854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 661451676 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1296)*4)\/(sqrt(108)*1 - ((sqrt(12) + sqrt(48)\/sqrt(4))*-5 - sqrt(12))).\nAnswer: -24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 201*g - 658266 + 58482. Is g a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000081217 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {n: 1, d: 3, c: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:29 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 27 = -4*q. Let m be 420\/(-240) + (-86)\/q. Let j(a) = a**2 + 3*a. Let o be j(-4). Solve 10 = -m*y + o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 5*g**3 - g**3 + g**3 + 4 - 4 - 3*g**3 - 2*g**3 + 4*g**3 + (5 - 1 - 2)*(2*g**2 - 2*g**2 - g**3) + (-2*g - 2*g + 6*g)*(g**2 - 3*g**2 + g**2).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1075455 and 45?\nAnswer: 1075455","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 i when four letters picked without replacement from niniingnggni?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 102?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6912*-0.12\nAnswer: -829.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)\/m*m)**(-47))**(-23) assuming m is positive.\nAnswer: m**(2162\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-30) - 908\/60. What is the smallest common multiple of ((-20)\/l)\/((-4)\/(-6)) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iji when three letters picked without replacement from jiimmjmjmmmjjqjmijij?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 18*f = -1484. Suppose -15 = -f*u + 103*u. Suppose -u*c = 65 - 45. What is the second biggest value in -0.1, c, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 (base 10) in base 2?\nAnswer: 1110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*w + 4*w + w)*(-3 + 3 + 7*w + (0*w - w + 0*w)*(6 - 3 - 1) - 2*w + 3*w + 2*w + 0*w + 2*w + w) in the form t*w + d + h*w**2 and give h.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4)*(101*r**2 - 836*r + 836*r)*(2*r - r + r) to z*r**2 + m*r**3 + o + h*r and give m.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5475)\/(-1460))\/(3\/(-16)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(8 + -4 + -2). Let k(o) be the first derivative of o**3\/3 - 3*o**2\/2 - 5*o + 443. Calculate k(m).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 5. Let p be m(4). Let n = -255.1 - -255. Let f = 1.1 + 3.9. Which is the second biggest value? (a) n (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.54250325 plus 417?\nAnswer: 411.45749675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0*h + 3\/2*h**3 - 16*h**2 + 0 + 1\/12*h**4. Let n = -7 - 0. Calculate r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/4, 43\/5, -5, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -652, -653, -658, -667?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 0.2, -5, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:00 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, v: 1, d: 1, s: 3, q: 7}. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 21. Let y be o(-6). Let b be 12\/y + (-55)\/(-25). Suppose b*k + 3*k - 24 = 0. Solve -5*z + 1 + 0 = k*d, 0 = 3*d - 4*z - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Solve -z*y = c + c - 13, -c - 1 = -y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 14*d**2 + 45*d - 262. Let q be i(12). Let v(b) = 2*b - 21. Let z(t) = -t + 11. Give q*z(j) - 4*v(j).\nAnswer: 2*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70695179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - 7*h - 1. Let a be w(-6). Suppose -a*j = -8*j. Is 3\/10 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219)\/(-292)*(-4)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -695, 9, 3, -7, 5 in increasing order.\nAnswer: -695, -7, -1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2a2 - -4?\nAnswer: -b29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31940, 31948, 31958, 31970?\n\"Answer: q**2 + 5*q + 31934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 7:51 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 - 9*n**2 + 14*n - 16*n as c + h*n**2 + i*n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 454 (base 11) to base 15\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3\/2 + 574*q**2 + 291819*q\/2 + 8439885 = 0.\nAnswer: -111, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/22572 and -19\/1386?\nAnswer: 158004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18966242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/51 + (-28)\/(-6). Solve 0 = -a*j + j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69224877.6999941 + -69224848.7. Let s = a + -29. Round s to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347692 is divided by 244.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 573532 from -71686.\nAnswer: -645218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**2 + 16*z**2 - z**2 + 8*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, k: 1, n: 1, m: 1}. What is prob of sequence kmj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 12 = 0. Suppose -324 - 204 = -k*q. What is q rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 29.45?\nAnswer: 647.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 22. Let s = -44 + 172. What is the greatest common divisor of l and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-52) - (38\/(-8) - -2). Solve 10 = -x + 3*x + 4*s, 5*s = z*x + 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b**2 - 3*b**2)*(-b + 1 + 3*b - 2).\nAnswer: -8*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*a + 5*a + 5*a + 15*a**3 + (-5 + 2 + 1)*(-3*a**3 + a**3 + 3*a**3) + a**3 + a**2 - a**2.\nAnswer: 14*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -32*p**4 + 3*p**3 + 3*p**2 - 24. Let d(g) = g**4 - g**3 - g**2 - 2. Let s(t) = -3*d(t) - u(t). Find the first derivative of s(m) wrt m.\nAnswer: 116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 129 = 29. Let z be w\/(-6)*(-15)\/(-10). What is the second derivative of 2*a + a - 4*a**z + a**5 wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a - 2. Let g(v) = -66*v + 11. Determine -33*b(d) - 6*g(d).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*-1*-2. Let w = 2 + p. Solve -7 = -l - 3*h, 0*l - 2*h - 7 = w*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165965265.\nAnswer: 3, 5, 3688117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 0.04599, -4 in ascending order.\nAnswer: -4, 0.04599, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 15873600.\nAnswer: 15873600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 5*y - 23, 8037 - 8032 = u + 2*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.5 - 41. Put -0.4, c, 1\/4, -0.5 in descending order.\nAnswer: c, 1\/4, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-i + 0*i - i) + 4*i - 2*i + 0*i + (-2 + 4 - 3)*(-3*i - 3*i + 0*i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = o - 4*f - 5, 3*f + 24 = 4*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 13 - 7*i + 3)*(-171 + 93 - 34*i + 76) to k*i**2 + p*i + w and give k.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y + 40. What is the remainder when 27 is divided by ((-20)\/y)\/((-1)\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163329 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37313128 rounded to the nearest 1000?\nAnswer: 37313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)\/(w*w**(-2\/9)))**(-13\/5) assuming w is positive.\nAnswer: w**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 - i + 2. Suppose -2*h = -5 + 15. What is d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14 - 8 - 3 - 1 - 2*k. What is g(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*b - 2336*b - 35385 = 89179 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1 (b) 0.6 (c) -4 (d) 3 (e) 449 (f) -37\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 4 (c) -2\/17 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Suppose -6*m + 8 = -10*m. Let c be 55\/15 + m\/3. What is the greatest common factor of i and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -28, -62, -110, -172, -248, -338?\n\"Answer: -7*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52, -1\/3, 573, -0.3?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**2\/7 + 4183020*n\/7 + 301198176\/7 = 0.\nAnswer: -72, 1045827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4886 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 5*a**4\/12 + 25*a**3\/6 - a**2 - a + 934. Let y(m) = 3*m**2 + 13*m - 1. Give -4*j(t) + 7*y(t).\nAnswer: t**2 - 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 4\/(2 + -4). Put z, 5, -5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 65. What is the highest common factor of f and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:31 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/225)\/(4\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, -39, -3, -182, 30 in descending order.\nAnswer: 30, 3, 0, -2, -3, -39, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*j + 74 + 55*j - 15 + 54*j + 58*j.\nAnswer: -2*j + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let w = d - -40. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -40. Let s be ((-2)\/(-42))\/(-11 - (-256)\/24). What is the fourth smallest value in 3, p, 0.1, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h**2 + 204*h + 114. Let w(l) = 16*l**2 + 203*l + 111. Let p(d) = 2*w(d) - 3*z(d). Factor p(f).\nAnswer: -2*(f + 20)*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143 or 133?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-372)\/(-2418) + (-4)\/26. Let w(x) be the second derivative of 5*x + b*x**2 - 2\/3*x**3 + 1\/12*x**4 + 0. Find a such that w(a) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-108)*-1*3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let s = 5 + i. What is the closest to 0.1 in 0.1, 2, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3333101?\nAnswer: 3333033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 8*i + 4. Let q be o(-8). Suppose q*t - 6 = t. Find the second derivative of -2*k**2 + 2*k**2 + t*k + 4*k**2 wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -5 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 3 - 2*y**2 + 22*y to t*y**2 + m + z*y and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -317250 divided by -63450\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -49. Do p and 0.28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583221141 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**10)\/(m**(2\/19)*m)*(m\/((m*m**(-14))\/m))**(-23))**28 assuming m is positive.\nAnswer: m**(-178276\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1173, 1160, 1149, 1140, 1133, 1128, 1125?\n\"Answer: n**2 - 16*n + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 10*w**2 + 14*w - 5. Suppose -8*x - 38 = 26. Let r be j(x). Solve m + r = 3*m - 3*b, -3*m + 9 = -3*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/3199 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 471\/5 (c) -4 (d) 8 (e) -3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 146 = -3*g, -108 = -4*g - j + 89. Calculate the highest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 83*x + 1842. Let u be y(-22). Solve 0 = -29*t - u*t - 135 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let c(q) = -2*q + 6. Let l be c(2). Suppose t - 17 = -r*p, -11 - 5 = -4*p + l*t. Solve 0 = p*m + 9 + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143333, -143312, -143279, -143234, -143177?\n\"Answer: 6*x**2 + 3*x - 143342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) + (2*(sqrt(154) - (sqrt(154) + (4*sqrt(154) - sqrt(154)))) - sqrt(154)))\/sqrt(7))\/(-5*sqrt(2)*-4*4).\nAnswer: -3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o - 1. Let h be c(-2). Solve -4*f = 1 - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-8) + 2\/4. Differentiate -4 - 2*o**2 + w + 2*o**2 - 3*o**3 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 22*d - 32. Determine q(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -11. Let r = 11 + u. Put r, -2\/11, 13 in ascending order.\nAnswer: -2\/11, r, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033012233101 - -10?\nAnswer: -1033012233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12127*u**2. Let o(y) = -667*y. Give o(r(k)).\nAnswer: -8088709*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/103)\/s*((s*s**(-3\/28)\/s)\/s)\/s)\/(s\/s**(-2\/43))**3 assuming s is positive.\nAnswer: s**(-777071\/124012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(600)*2 - sqrt(600) - sqrt(600))\/(4*sqrt(9)\/sqrt(12)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -684543.\nAnswer: 1\/228181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1854 = 20*r - 2*r. Suppose -3*u + 4*y - 313 = 0, 5*u - y = -291 - 208. Let n = r + u. Solve n = -2*s - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54, -963, -3430, -8235, -16158, -27979, -44478, -66435?\n\"Answer: -130*t**3 + t**2 - 2*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169*-38031.\nAnswer: 6427239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 7*q**8\/3840 - q**6\/240 + q**5\/30 - q**2. Let k(p) be the third derivative of r(p). Factor k(i).\nAnswer: 3*(7*i - 2)*(7*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 10294.84\nAnswer: 1029.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 9*a - 2. Let t be z(-8). Suppose t*n = 4*n + 20. Suppose -10 - n = -4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2149 - -0.215265. Round v to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -5*h**4\/12 - 5*h**3\/3 + 2*h**2. Let w be s(-4). List the prime factors of w\/(2 + (-3)\/6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 105*j - 224 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283 (base 9) to base 4.\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2. Let a(n) = 9*n**2 + 1569786*n - 1569689*n - 3*n**2. Calculate a(z(v)).\nAnswer: 96*v**4 + 388*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320 and 1600.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.17 - -8.77. Let k = 4.6 - v. Which is the closest to 2\/9? (a) k (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-253)\/(-231))\/(1\/(-7193)). Let l = 10521 + -18401. Let q = l - u. Calculate the common denominator of q and 64\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24447 + 25084. What is the remainder when g is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlllqqqlllallllqq. Give prob of sequence ll.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-3)*11\/(55\/6). Let a(q) be the third derivative of -5\/6*q**3 + 0*q + 2*q**d + 1\/12*q**5 + 0*q**4 + 0. Find the first derivative of a(b) wrt b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(7\/3)*b**6*(b*b**2*b)**(-3\/5))**18 assuming b is positive.\nAnswer: b**(624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106898, 107926, 108954?\nAnswer: 109982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254.8 + -255. Let r = 28.7 - 29. Put x, r, -1\/3, -1 in increasing order.\nAnswer: -1, -1\/3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)*(-54)\/3. Let q = -11 - l. Let u(k) = 4*k - 8. What is the remainder when u(q) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e88ce (base 15) in base 2?\nAnswer: 10110100000111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -67. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174167613 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4431 = -28*t - 8715. Let s(i) = -21*i - 7. Let y be s(7). Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -140d?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12177940 by -608897.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426421 (base 8) to base 10.\nAnswer: -142609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1090417 + -2?\nAnswer: 1090415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106436*k - 319261*k + 106441*k + 106417*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 2*w - 13. Let h be q(-6). Let j = 7 - 6. Suppose j = g, -5*m + 59 = -4*m + 4*g. What is the greatest common factor of h and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1680 + 1679. Put p, -2, -3, -10 in ascending order.\nAnswer: -10, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 - 3 = 0. Let l = -102 + 107. Suppose 4*w - 5*b = -4 - 7, 5*w = -5*b + 20. Sort m, w, l.\nAnswer: m, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.233 plus -0.2?\nAnswer: -1.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*f + 558 = 1281 - 3859 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-108) - (-76)\/(-18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20\/637 + 6\/49. Let b = -139 - -137. What is the nearest to b in x, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 9. Suppose 0 = 4*n - w*n. Solve -4*v = 16, 5*r + 4*v + n*v + 31 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1640?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12034303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.167 and 2070.\nAnswer: -2415.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 227 (base 9) to base 11\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078 times -0.2?\nAnswer: -215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16658 and 4389383.\nAnswer: 8778766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 609, 535, 433, 291, 97?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 15. Let q = g - 10. Differentiate 1 - 2 + 4 - q*n**2 - n**2 with respect to n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*r**4 - 49*r**2 + 49*r**2)*(1 + 0 - 2) + 4*r**3 + r**4 - 4*r**3.\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chtc when four letters picked without replacement from {z: 1, t: 1, h: 2, x: 9, c: 6}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -24. Let r = i + 19. Let p(f) = -f**3 + 4*f**2 + 3*f + 7. Let o be p(5). Sort 1, r, o in decreasing order.\nAnswer: r, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 9*n - 22*n. Let p(h) = 2*h**2 + h - 2. Let c be p(-2). Suppose -4*k = c*m - 80, -3*m + 62 = -k - 18. Solve -q - 4*q + m = n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94656470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times 153954?\nAnswer: -7235838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k + 24*k = -782. Suppose k*o + 64 = 18*o. Determine g so that -32\/3*g - o - 4\/9*g**2 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 - -2) - (-7 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 10*f**2 - 10*f - 2. Let k be (0\/2)\/(-2 + 1). Suppose k = c - 2 - 5. Is y(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16 + 389*i**2 - 150*i**2 - 170*i**2 + 9*i**5 + 67*i - 160*i**2 wrt i?\nAnswer: 180*i**3 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*b = 2167 - 539 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + (24 - 23) + -4 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + 3.05. Let g = 530\/7 + -76. What is the nearest to -1\/3 in -3, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/197 + 10821\/2758. Let z = -913 + 1917\/2. What is the common denominator of f and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9272 divided by 2\nAnswer: -4636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 4. Let g(j) = 3*j - 1. Let n be g(i). Suppose 0 = 7*c - n*c - 442. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196.22 * 9.63.\nAnswer: -1889.5986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 52, -243, -756, -1487, -2436, -3603?\nAnswer: -4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 491413972 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - i + 2*i)*(2*i**2 + 3*i**2 - 2*i**2) + 221*i - 221*i + 8*i**3 in the form d*i**3 + v + f*i + b*i**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j - 15. Suppose -4*c - j*q = 5, -5*c = 2*q + q + 16. Is (48 - c)\/(2 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 484*r**2 = 0. Calculate r.\nAnswer: -242, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -583*s**9\/504 + 247*s**5\/60 - 10*s**2 + 7*s. Find the third derivative of k(a) wrt a.\nAnswer: -69960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*p = -8, 4*h - 2*h - 3*p = -1. Let b(m) = -1 - 160*m**2 - m**3 + m - 2*m + 161*m**2. Let j be b(0). Sort 5, -5, h, j.\nAnswer: -5, h, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*u**3 + 119*u**2 - u + 1359 wrt u.\nAnswer: 15*u**2 + 238*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -303*i**4 - 423?\nAnswer: -1212*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3297 and 3591.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6211.\nAnswer: 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1 + (-70)\/(-77)). Suppose 10*h - 252 = -i*h. Solve 15*c + 3 = h*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gphj when four letters picked without replacement from xijggph?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 328, 322, 316?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6. Suppose 3*r + 4*s + 10 + 5 = 0, -4*r + 11 = -5*s. Is g less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 v when three letters picked without replacement from {g: 1, e: 3, b: 2, u: 3, v: 3, j: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231635493?\nAnswer: 3, 53, 485609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 + 12*c**2 + 2*c + 9. Let w(l) = l**3 - 2*l**2 - l - 1. Let s(r) = u(r) + 5*w(r). Calculate s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.02 - -309.98. Let p = s - 316.8. Which is smaller: -2\/15 or p?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**2 + 24*j**2 + 6*j**4)*(3*j - j + 0*j) + 2*j**5 + 1 - 1 - 4*j - 2*j**5 + 4*j + (j**4 + 0*j**2 + 0*j**2)*(-2*j - 3*j + 4*j).\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 + 7835*w**3 + 3119655*w**2 + 39242385*w = 0.\nAnswer: -777, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -8, 4*k - 34 = 4*v + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -559, -580, -601?\n\"Answer: -21*o - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -742.43274 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 960*c - 688*c - 3536 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -47. Let l(v) = v**3 + 19*v**2 - 21*v - 16. Let g be l(-20). Suppose g*z + o - 96 = -3*o, 2*o = 0. What is the least common multiple of z and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 323704 + 124?\nAnswer: 324030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -349 and 1238648195.\nAnswer: 1238647846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1280*a*w**2 + 19*a - 42*w**4 - 1281 wrt w.\nAnswer: 2560*a*w - 168*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42255 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 3:30 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:41 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -13 - (3583 + -3561).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10\/62582741?\nAnswer: -10\/62582741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 16 = 3*v, 3*v + 14 = -79*n + 77*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000138158 to six decimal places.\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*343\/((-89523)\/290).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 10 - (0 - (1 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 0.2, 9041, -4, 2.\nAnswer: -4, 0.2, 5\/3, 2, 9041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4944 = -t. Let b be t\/(-84)*7\/2. Let h = b + -141. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4310, -8604, -12898?\n\"Answer: -4294*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 89492408*u. Let h(r) = -3*r**2. Calculate z(h(w)).\nAnswer: -268477224*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, k: 4, p: 4, h: 3, m: 5, c: 1}. Give prob of sequence mpph.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 1. Let a(b) = 4*b - 10. Let j be a(8). Let u be j\/(-66) - (-40)\/(-6). Let n(r) = 3*r - 4. Calculate u*t(p) + 2*n(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*g**2 - 657*g**2 + g**3 + 348*g**2 - 4.\nAnswer: g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10668 rounded to 3 dps?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 2.1720928?\nAnswer: 47.7860416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let v(j) = -2*j - 1. Let u(d) = -6*p(d) - 5*v(d). Let g(h) = h - 4. Calculate 4*g(a) + 3*u(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 91*j + 600. Let i be s(-85). Calculate the greatest common factor of 3270 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -9*f + 4. Suppose -228 = f*n - 8*n. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and 118.14?\nAnswer: 118.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 4385?\nAnswer: 8770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:13 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -264*c**3 + 3*c**2 + c - 3. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z + 2. Let k(v) = v**2 - 795*v - 52. Determine k(y(i)).\nAnswer: 729*i**2 - 21357*i - 1638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 743. Suppose 186 = -2*v + l. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:54 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 24*k = -3*t - 22, t + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-712)\/36 + (2007\/99 - (-33)\/(-121))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, 436, -13, 0 in decreasing order.\nAnswer: 436, 3, 2, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 8*o + 3*o**3 + o**3 - o**2.\nAnswer: 4*o**3 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 - i + 32. Let f = 784 - 692. What is the remainder when f is divided by g(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -41, 0, 3, -28, 8, 4 in decreasing order.\nAnswer: 8, 4, 3, 0, -28, -41, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 278 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 10, f: 3, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + w. Let z(l) = 20*l**3 + 25*l**2 - 25*l. Suppose 0 = -3*h + 2 + 1. Suppose -3*x = -5*b - 50, 710 = x - 2*b + 695. Give h*z(i) + x*p(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -16*v + 90. What is the units digit of d(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -12, 2*i + 4*d = 3*i - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*y - 1925 = -261. Solve 0 = 5*i - 2*i - 3*j + 6, -2*i - j = y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-5 + 4 + 5)*(2*w + w - 4*w)*(-12625 + 12625 + 172*w + (-1 + 2 - 3)*(w + 4*w - 4*w) + w - 4*w + 2*w).\nAnswer: 1352*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = 4*l + 3*q, -l = 4*q - 3. Suppose 0 = l*h - 2*h - 115. What is the remainder when h is divided by (3 - -1) + (9 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)\/l*l*l*l**(1\/5))\/((l**7*l)\/(l**4\/l)) assuming l is positive.\nAnswer: l**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + 26 + (-109 - -165).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*18457\nAnswer: 1845.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3467 is divided by 108.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:27 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-24)*2*-1. Let r = -1.6 + -4.4. Let i = r - -6.5. What is the nearest to t in -1\/7, i, 1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098.91 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l - 2*l - 5544. Let m = l - -510. Suppose 4*c + 2 = 5*p, -2*c = -2*p - 0*p. Solve -f - m = p*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 2*a + 1021. Find the common denominator of a\/(-20) - (-2)\/6 and (-6)\/15 + 388\/45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 124.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-6)*-3*2. Let u = 8 - t. Let w(p) = p + 59. What is the remainder when w(0) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 - 67 + 8*k)*(-k + 1 - 4 + 5) in the form g + r*k + p*k**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -12.3001, -3\/10?\nAnswer: -12.3001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -11. Solve z*b - 4*b = 5*i + 25, -b - 2*i - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160*h*l - h + 329*l wrt h.\nAnswer: 160*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6382854 divided by -2127618.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -489508 and 0.381?\nAnswer: -186502.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 28, 37, 46, 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2\/15, -22, -0.09, 0.022, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21887 divided by -21887.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360034 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 3*j**2 - 2*j**4 + (-4 + j + 4)*(4*j**3 - j**3 + 4*j**3)*(0 + 0 - 2) to the form b*j + r*j**4 + o*j**2 + l*j**3 + t and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-45))\/(4\/10). Suppose -2*m = -y*m + 20. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4688 and 43504.\nAnswer: 12746672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + (-3 + 3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from sgbgbs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1160634)\/(-627) - 60\/55. Calculate the highest common factor of f and 1332.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18da0e (base 16) to base 10.\nAnswer: 1628686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9946c3 - -2?\nAnswer: b9946c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1022?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-127 - -27)) + -17 + 23.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430 and 7940630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35.6 (b) -22 (c) 1\/5 (d) -7.5 (e) 54\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 5528442.\nAnswer: 5528437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86472 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1330595000 to the nearest 1000000.\nAnswer: -1331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-nine quarters of a micrometer in nanometers?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and 1531.\nAnswer: 1529.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1 + 9\/((-81)\/(-16)). Which is the second biggest value? (a) 3 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (102 - 103)\/((-2)\/775102) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*p - 23 = 2*p, -4*b + 3*p + 18 = 0. Let r be b\/(-10) + 21\/(-105). Put -0.1, -0.15, r in ascending order.\nAnswer: r, -0.15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - 2*h**4 - 2*h**3 + 5 - h - 4 to the form u*h**3 + s*h**2 + k + m*h + c*h**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 8\/(-12))\/((-1)\/(-12)). Suppose 14 - s = 5*w. Suppose 3*q - 3*z = 408, w*q + 2*q = -z + 564. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -14 (b) 16 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-18)\/45*(-25)\/12).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4578 - 4570. Suppose -c + 85 + 14 = -b, 4*b = -3*c + 304. Suppose -k*u + c = -3*u. What is the least common multiple of u and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16716*l - 2. Let a(q) = -2*q. Give j(a(z)).\nAnswer: 33432*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -25, -b = b - 5*c - 31 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 394638.1 - 394638. Let o = -3 + 2.9. Let v be 6*-2*(-2)\/(-6). What is the smallest value in i, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 divided by -42?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12384 - 12389. Let y(v) = 18*v + 66. What is y(d)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -10)\/(-70) + (-666)\/(-7). Calculate the greatest common factor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1700) + -2 + sqrt(51)\/((sqrt(3) + sqrt(15)\/sqrt(5))*-5).\nAnswer: -7 + 99*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -44) + 0 + 2 + -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*j + 731088 = 741588 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156943199, 156943200, 156943201, 156943202, 156943203, 156943204?\nAnswer: 156943205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*k - 36. Solve -r + k = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -81, -85, -1, -8 in increasing order.\nAnswer: -85, -81, -8, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 14) to base 15\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j - 3*j - 12*j**2 + 810*j**4 - 15*j**2 + 380 - 807*j**4 + 2*j wrt j.\nAnswer: 36*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + (2 + -11 - -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/20 - 2*v**4\/3 + 10*v**3\/3 - 8*v**2 - v + 73. Determine j, given that u(j) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 22 = 2. Calculate the common denominator of 31\/11 and (-1228)\/80 + 4\/l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 29*b**2 - 5*b. Let m be s(-4). Suppose -4*n + 22 = 2*y, 17*n - 19*n - 43 = -5*y. Does 3 divide (m\/y - 0) + 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 91, 114, 155, 220, 315, 446?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-117))\/((-1701)\/(-189)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(3\/7)))\/(s*s\/(s\/(s**4*s))))**(-2\/3)*((s\/(s*s*s*s\/s**(-3\/4)*s))\/s*s*s**(-4))\/(s\/s**5*s**6) assuming s is positive.\nAnswer: s**(-197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 832\nAnswer: 73\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7 = -0*c + 5*h, 5*c = 5*h + 25. Let v(y) = -90 + 28 + 5*y + 29 + 29. Let w(z) = -2*z + 2. Calculate c*v(s) + 5*w(s).\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p*(p*(p*(p*p\/((p\/(p\/p**(-37)))\/p))\/p)\/p)\/p))\/p)\/p*p**(-1\/21)*(p*p*p**(5\/4))\/(p\/p**(-20)*p*p) assuming p is positive.\nAnswer: p**(-5107\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 18. Let i(l) = l**3 - l**2 + l - 6. Let w(s) = 0*s - s**3 + 2*s**2 - 3*s + 6 + s. Let y(a) = t*i(a) - 5*w(a). Determine y(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5548*k**2 - 4048*k**2 - 1323*k**2.\nAnswer: 177*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19*-324.77\nAnswer: 6170.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301899, -603792, -905673, -1207536, -1509375, -1811184, -2112957?\nAnswer: -2414688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 5*s**2 + 4. Let u(t) = t**3 + t**2. Let i(o) = n(o) + 5*u(o). Find the first derivative of i(d) wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-105)\/(-156) - (-24)\/(-312). Suppose x - 1\/4*i + 1\/2*i**3 - 1\/2*i**2 - 1\/4*i**5 + 1\/4*i**4 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 + 3*s + 5. Let j(g) = -33*g**3 - g**2 + 3*g + 14. Let b be j(-2). Let x(y) = -270*y + 4 + 3*y**2 - 6 + b*y. What is -2*l(v) - 5*x(v)?\nAnswer: -3*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -215 + 5*n + 215. Suppose 5*w + r = 6*r, -3*r + 21 = 4*w. Let h(p) = 2*p - w*p + 0*p. What is h(s(b))?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-4)\/(-18) - 17\/(-45)). Suppose -y = f - 223 - 372, -f - x = 0. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, 1\/23, 6?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -36*l - 754. Let i be u(-21). Let d(z) = -2*z**2 - 3*z**3 + 2*z**3 + z + 0*z. Let m be d(-3). Solve 3*b + 2 = -m*g + g, -2*g + 12 = -i*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 240, 263, 306, 375, 476?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1603\/4 + 3291\/8. Find the common denominator of -73\/36 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 2, i: 7, s: 1, m: 1, r: 5}. Give prob of sequence isii.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -52. Suppose -4 = 3*u - 19, 0 = -t*p - u + 49. Does 31 divide 4\/p + (-6762)\/(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 321, 495, 717, 987, 1305, 1671?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -11*d + 48, 2*o - 29*d = -25*d - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781926 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10*(-61)\/(8601\/8930).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2306*p - 820. List the prime factors of y(-9).\nAnswer: 2, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*k - 148*k + 6*g - 22 = 4*g, -5*k + 15*g = 160 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1943 - 1922 = 7*v. Solve -4*l = 8*y - v*y - 4, -2*l + 12 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 127*c**5\/4 + 375*c**2 - 400*c - 1. Find the first derivative of f(n) wrt n.\nAnswer: 1905*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 65 = 3*p, 27*p + 3*g + 10 = 31*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5266653 bigger than -5266651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -89, -141, -219, -329, -477, -669?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/576 + ((-2)\/18)\/((-1)\/631). Let j be 4\/(-6) - 527\/(-3). What is the greatest common divisor of z and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**2 - 28*j + 28*j to r*j**2 + m + h*j and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/130 and -1\/2962950.\nAnswer: 38518350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8. Let f be 3\/b - 7\/(-1). Suppose 5*c = -4*d - 0*d + 40, -c - 16 = -f*d. Solve d*s + 4 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*t - 7*t - 33, 2*y - 54 = t. Solve 3*w = 6*w - 4*x - 20, 0 = 5*x + y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w - 74*w + 34 = -12*w - 354 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*(-1848)\/(-2240))\/3.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 62\/28689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/4 + 19*q**3\/3 - 3*q**2\/2 + 34*q + 5. What is the tens digit of w(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*k - 42 = -6*q, -3*k = q - 31. Calculate the remainder when 36 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6340.015 * -1.4\nAnswer: -8876.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 5*c**2 + 4*c - 6. Let a be h(-6). Let b(q) = q + 14. Let l be b(-12). What is the highest common divisor of l and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7, 78, 4, 1.8565?\nAnswer: 1.8565","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + -5*sqrt(35)*-3)\/sqrt(5).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = -49 + 9 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*n - 49 + 6, 0 = 4*t - n - 32. Suppose -12 = -m + 4*g + t, -23 = 3*m + 4*g. Let x = 24 - 95\/4. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 54\/45*30\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13575)\/18100 + (-1)\/(-5) + (2 - (-9793)\/(-7140)).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, n: 9, v: 2}. Give prob of picking 1 v and 1 w.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, 2, 13, 41, 4, -3 in ascending order.\nAnswer: -3, 2, 4, 13, 41, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from atjajanttjljjat.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112.888 - -113. Let h = -0.012 + g. Which is the nearest to h? (a) -1 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101.8*0.3\nAnswer: 30.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 2644*v**2 - 21068*v - 52720 = 0.\nAnswer: -2, 10, 2636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 23) + 3 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 81186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -326204 + -73?\nAnswer: -326277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-3) - 1)*5. Suppose -8*s + 5*y = -7*s - 35, -c*y = 5*s - 25. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 563395401 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24 (b) 2 (c) 1\/7 (d) 3 (e) 11.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*((sqrt(1300) - ((3*sqrt(1300) - sqrt(1300) - sqrt(1300)) + 1)**2) + -5))*5*-5.\nAnswer: -32725 - 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1. Let f(z) = -z**2 + 17*z - 22. Let o(n) = f(n) - 4*h(n). Let k be o(15). Solve 3*y - k*r = 9, -y + 0*r + r = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtx when three letters picked without replacement from gtgxxxgxxgx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53848, 218888, 493940, 878992, 1374032?\n\"Answer: -2*c**3 + 55018*c**2 - 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15488*g - 15492*g + 44 = -4*j, 2*j + 10 = -g for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 30 = -3*d. Let n be (d + 4)*(-2)\/(-2). Suppose -z + 5 = -i, 0 + 5 = -i. Put 5, z, n in descending order.\nAnswer: 5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28352\/(-512) - 2535\/1560.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18965 divided by -56?\nAnswer: 18965\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -247, -242, -239, -238, -239, -242?\n\"Answer: -n**2 + 8*n - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/26 and -41\/207764?\nAnswer: 2700932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13382828 and 44314?\nAnswer: 13382828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(21 - (-6 - -2)). Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-65) + 2217\/105. Which is smaller: 21 or m?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(286)\/sqrt(275) - (sqrt(234)*-3)\/sqrt(9))\/(-3*sqrt(242)*-2*-1).\nAnswer: -8*sqrt(13)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.4. Let l = 202.1 - 211.03. Let v = -0.07 + l. Is d at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1234, 1235, 1236?\n\"Answer: k + 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(1\/(4\/(-114)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 4*q + 16*i - 15146, -7586 = -2*q + 5*i. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 517077457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10262?\nAnswer: 2, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.31 - -4.11. Do -0.6104 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -62\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150939729?\nAnswer: 3, 16771081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 2, -2, 183.\nAnswer: -6, -2, 2, 3, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-24))\/((-10)\/72). Let c = -3 + 6. Suppose d = -5*y + n, -3*d - 2*d - 24 = -c*y. Let r(q) = -q**3 - 4*q**2 + 4. Determine r(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1715 and 75928930.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202216285 a multiple of 9362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 4. Let d(m) be the second derivative of -2*m**3\/3 + 1010*m + 2. Calculate g(d(u)).\nAnswer: -12*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195577056*s**2*z - 4522032*s*z + 18*z wrt s?\nAnswer: 391154112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*q + 6 = -0, 0 = 3*n + 4*q - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(8)\/sqrt(4).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 4*y + 0*y)*(2*y - y + 2*y)*(7 - 23 - 8).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 greater than 574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**19)\/t)\/t**(-13))\/(t**9)**(1\/20) assuming t is positive.\nAnswer: t**(-129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6417 divided by -69\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -150, -225, -300, -375?\n\"Answer: -75*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 4 + -4 - 1) + 31392. Is d\/33 + 2 - 2\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = y - p - 239, -3*p = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.3 less than or equal to -286.84739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 9:57 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**9\/20160 + y**8\/1344 + y**7\/280 + y**5\/30 + y**4\/24 + 64*y**2. Let h(z) be the third derivative of r(z). Solve h(d) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -16. What is the smallest value in -4, -3, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufu when three letters picked without replacement from ffufffffffuf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/48*(-3)\/(-10). What is the nearest to b in -0.1, 1\/5, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from mmddd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -n - 4, -3*n = 3*l - 2*l - 4. Suppose 4*z - l*i - 350 = -3*i, -4*i - 356 = -4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -31, -4, -47 in increasing order.\nAnswer: -47, -31, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((11 - -1) + -20) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6915404 + 6915404 + 695*l.\nAnswer: 695*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936, 1871, 2808, 3747?\nAnswer: 4688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40359 at most -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 - 43*d**2 - 14*d + 27. Suppose 0 = 95*u + 204*u - 3289. Give t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820 times -4?\nAnswer: -15280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {k: 3, y: 2, v: 1, n: 2, d: 1, e: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -471 + 473. Suppose -16 = z - 5*z. Suppose c + z = 3*c. Solve 0 + c = -r*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.3 - -11.4. Let v = 14 + s. What is the nearest to 1\/4 in 9, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**4 + 33*j + 12808 - 12808)*(-4 + 3 + 4).\nAnswer: 21*j**4 + 99*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -573.2627597 minus -8?\nAnswer: -565.2627597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let w(y) = 120*y - 65. Let o(a) = -11*a + 6. Let q(h) = 65*o(h) + 6*w(h). Give 3*q(k) + 8*v(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13126125 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*u + 237*u + 3*s = 4 - 2 - 8, -3*u - s = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 32. Let s = -152 + 155. Let l be n(s). Calculate the greatest common divisor of l and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8077 + 8095. Solve 15*r = c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(80) + -2)**2 - (sqrt(80) + 1 + sqrt(80))**2*6 - (sqrt(80) + -1 + sqrt(80) + sqrt(80) + 2 + sqrt(80) + sqrt(80)*-1*-3)**2) + 5.\nAnswer: -5744 - 184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 16019*j + 2683*j + 9065*j.\nAnswer: 27767*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 22*c + 123. Let j be b(-11). Let o = -4 + -1. Sort j, o, -8.\nAnswer: -8, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 37. Let r(i) = -33476*i - 15. Let m be r(g). Let v = m + -827793. Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -5, -1, -8, 1, 11899 in descending order.\nAnswer: 11899, 2, 1, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 9*j**3 + 4*j**3)*(5 + 0 - 4)*(-1 + 1 + 2*j) + j**4 + j**4 - 5*j**4.\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 127*j - 1225. Let o be s(9). Let t(q) = 26*q**2 + q + 2. Give t(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a9 - 5?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-1296)*(165\/35 - 14\/(-49)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i. Let w(q) = -9*q**2 + 6*q + 7. Let b(k) = 2*u(k) + w(k). Let z(p) = 13*p**2 - 15*p - 14. Let a(d) = 11*b(d) + 6*z(d). What is a(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*u = -3112, -5*b + 3*u - 7186 - 625 = 0. Suppose -13*m = -8*m + 11520. Let c = b - m. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*x - 2*g + 4, 2*g = -5*x + 39. What is the remainder when 33 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -596439\nAnswer: -80\/596439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293237*o**3*t - o**3 - 1258*o**2*t + 2*o*t + 14*o wrt o?\nAnswer: -1759422*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -198*s - 57. Let c(r) = -5742*r - 1650. Let v(q) = 3*c(q) - 88*t(q). What is the derivative of v(w) wrt w?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let p(u) = 5*u - 7. Suppose -52 = -22*j - 4*j. Let w be p(j). Which is the smallest value? (a) r (b) -3 (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-570 - 22*u + 570)*(-1 + 0 + 0) + 2 - 2 - u - 4*u + 4*u + u + (-4 + 3 - 1)*(0*u + u - 2*u).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5*l**2\/2 - 3. Suppose b - 4*b = -3. Suppose -4*h = -b - 3. What is p(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - d + 6*d - 1 + 1 + 3*d - 3*d + 2*d + 3*d + 4 - 2*d - 4 + (0 - 5 + 3)*(0*d - 3*d + 5*d) - d + 4*d - 5*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 21 = -5. Let r = 5043 - 5037. Solve 0 = 2*q + y*t + 4 + r, -5*q - t = -11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*u = -7, -3*m = -31*u - 32*u - 28*u + 92*u + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 31342*c. Let y(f) = 2*f**2. What is j(y(t))?\nAnswer: 62684*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4 + 22*g**3 + 30*g**2 - 54*g = 0.\nAnswer: -9, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 5446875.648503.\nAnswer: 5446875.648503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 17 = 5*t - 4*t, 2*w = 2*t + 2. Suppose l + 2*c = w, -l + 5*c + 1 = -3. Differentiate -2*r**l + 2 + 3*r**4 + r**4 wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -2066.\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 14*p**2 + 5*p - p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 725.2 (b) -3 (c) -0.18 (d) -2\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a**3 + 1\/84*a**8 + 0*a**5 - 26*a**2 + 0 + 0*a**4 + 2\/15*a**6 - 8\/105*a**7 + 0*a. Factor k(x).\nAnswer: 4*x**3*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6393464 micrograms to milligrams.\nAnswer: 0.0006393464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 2, j: 5, b: 10, q: 2}. Give prob of picking 1 b, 2 v, and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6*(-14)\/21. Let g = -14\/27 - -8\/27. Put g, -5, q in descending order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from kkikkikk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 9. Suppose -d = d - o. Suppose d*w - w - 64 = -3*k, w = -3*k + 59. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25*b + 7. Let j be (-1)\/(3\/12) - 1. Let a be m(j). Let h be (-1)\/(-2)*26 + -1. Calculate the highest common divisor of a and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174.97 - -176. Let b = t - 0.03. Put 2, b, 0.4 in ascending order.\nAnswer: 0.4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 - (1 + 18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a\/(a**7*a)*a))\/a)\/a**15)\/(a*a*a\/(a\/((a*a*a**(1\/4))\/a)))**(-6\/13))**(-31) assuming a is positive.\nAnswer: a**(527\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 410*l**3 + 798*l**2 + 2834*l + 1624.\nAnswer: 2*(l - 203)*(l - 4)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*540\/396*561\/119.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x - 138. What is u(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 + 0.21. Which is the closest to t? (a) 0.5 (b) 2\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (6 - 0 - 11 - -14 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 5 = 0. Suppose -2*r - k*n = -6*r + 22, -3*r + 7 = n. Calculate the lowest common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2. Let g be s(3). Solve 0 = 3*w - g*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 116369513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03310454145 to five decimal places.\nAnswer: -0.0331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**5\/30 + x**2 - 21. Let k(l) be the second derivative of n(l). Let t(u) = -11*u**2. Determine k(t(p)).\nAnswer: 242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14999 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*t + 8201 = 486*t - 115 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*k + 16, -2*n - 4*k + 24 = 2*n. Suppose -12*l - n = -14*l. What is the derivative of 14*g**2 - 7*g**2 - 7*g**l + 7*g**4 + 14 wrt g?\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 14\/4 - (-178)\/4. Suppose -x = -3*l - 4*i, 4*l - l - 5*i = 26. What is the remainder when 2\/3 + 1300\/39 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*p + 234*p + 18 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8929*p + 10*p**2 - 3*p**3 - 8939*p + 32 + 2*p**3. What is t(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 5*a + 12990. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -12. Let h(g) be the first derivative of g**2\/2 - 2*g - 1. Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -17*f**8\/112 + f**6\/60 + 41*f**5\/20 + 3*f**2 - 23*f. Find the third derivative of l(z) wrt z.\nAnswer: -3060*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 56*d - 4. Let x be q(3). Let w be -1 - (-26)\/7 - 10\/(-35). Suppose -g = w*g - x. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241466 (base 7) in base 12?\nAnswer: 21425","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010001010011011111000 - -1?\nAnswer: -10111010001010011011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.2 - 16. Let o = 0.78 + -1.64. Let u = 0.86 + o. Which is the third smallest value? (a) p (b) -2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95105 or -95106?\nAnswer: -95105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5630 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -15. Suppose b = 3*y + 4*d, -5*y + 5*d + 14 = -11. Let x(n) = 83*n + 5. Is x(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 + 766. Suppose 38*t = 46*t - q. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-64800)\/(-192)*(3 + -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 3*j - 7*j + (6 - 3*j - 6)*(-5 + 4 + 0) - 3*j - 4*j + j to the form c + i*j and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5976*m**2 - 3*m - 1098. Let s(k) = -17936*k**2 + 10*k + 3297. Let j(p) = 13*i(p) + 4*s(p). Find the second derivative of j(c) wrt c.\nAnswer: 11888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (84\/(-476))\/(4\/1 + -3). What is the nearest to 1 in t, -1, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1359 - 42 = 3*g - 3*a, 0 = -2*g - 2*a + 862. Let l = -295 + g. What is the greatest common divisor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 1 + 2*w - 1 + (0*w + 4*w - 3*w)*(-2*w - 3*w + 2*w) + ((-2 + 3 + 0)*(-12*w - 19*w + 43*w) + 0 + w + 0 + 5*w + w - 4*w)*(1 - 1 + 3*w).\nAnswer: 43*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -161.75 - -3.75. Let n = x - -158. Which is bigger: -15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759776.6 litres to millilitres.\nAnswer: 759776600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -6.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21908710 divided by -1?\nAnswer: -21908710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipiiip. What is prob of sequence iip?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - 59*v - 40. Let x be j(-11). Solve -2*t - 5 = 3*b, 2*b + 3*b = x*t - 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 45\/2 (b) 0.3 (c) -58 (d) 1.5159 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:34 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a69ed (base 16) in base 5?\nAnswer: 1440000310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b - 62 - 41 = -9. Solve -b*t = 3*d + 9, -d + 5 = -t + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0761 times 3?\nAnswer: -0.2283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 - 16*q**2 - 42*q + 3. Let i(u) = 12*u**3 + 31*u**2 + 89*u - 5. Let n(o) = -5*f(o) - 2*i(o). What is n(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/13 + 798*m**4\/13 + 79184*m**3\/13 - 86376*m**2\/13 - 630400*m\/13 + 960000\/13 = 0. What is m?\nAnswer: -200, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0188072 to four decimal places.\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14626, -117080, -395166, -936700, -1829498, -3161376, -5020150, -7493636?\n\"Answer: -14636*a**3 - 2*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/5 - 78*x**4\/5 - 8776*x**3\/5 - 224064*x**2\/5 - 1562112*x\/5 + 4091904\/5 = 0. What is x?\nAnswer: -24, 2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 1510, 3419, 6108, 9583, 13850, 18915?\nAnswer: 24784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 10*t**2 - 2*t + 12. Let b be k(5). Let a = b + 210. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i*i)\/(i*i\/i**(2\/35))*i*i**(5\/2)*i\/i**(1\/6) assuming i is positive.\nAnswer: i**(146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 + 4*q**2. Let a be u(0). Is 5 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/10 + 7527*t + 283278645\/2.\nAnswer: (t + 37635)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11148414913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 620815\/497 or 1250?\nAnswer: 1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 7) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*m + 2 - 2. What are the prime factors of m*5\/(-20) + 70*7?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73398620 take away 2458561?\nAnswer: -75857181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d + 444 = -709 + 286 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*3\/(-36))\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 11675 = i + 9*u, 4*i = -3*u + 46766. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(182\/(-48)) - 2. Let m(n) = n**3 - 7*n**2 - 8*n - 5. Let z be m(8). Which is the closest to -1\/3? (a) z (b) y (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 3682874?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 14. Let q be f(-16). Suppose u + q*w = -6, -w - 3 = -0*u - u. Does 6 divide 25 + u\/(-2) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/(-87)*18\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.92542 + -0.079257.\nAnswer: 6.846163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -34 - -8) + (-87 - -78).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*x - 6, x + 7 - 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n, 4*x - 4 = -5*n + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 301*c**2 - 9*c. Let n(p) = 299*p**2 - 10*p. Let b(z) = 4*n(z) - 5*q(z). Factor b(i).\nAnswer: -i*(309*i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434460306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*v = -0*c - 10, -4*c = -3*v + 13. Let l(t) be the third derivative of t**6\/120 - t**3\/6 - 3*t**2. Calculate l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -23. Suppose -i*s = -4*s + 15. Let q = 494 + -497. Which is the second smallest value? (a) s (b) 0.5 (c) 11 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4199 + -4218.89. Let b = r - -20. What is the second smallest value in b, 0, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 424.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*f + t, 2*f - 2*t = -0*f - 2. Find the common denominator of ((-12)\/198)\/(764\/378 + -2) and f + (-10)\/4 + -37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*(n*n**(1\/6)*n*n)\/n*n*n)\/n)\/n**(-14\/5))**(-8\/5) assuming n is positive.\nAnswer: n**(-956\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 116\/14 + 14\/(-49). Suppose -h + y*h - 315 = 0. Let u = h + -32. What is the lowest common multiple of 6 and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-2 - 1 + 2)*((3 - 5 - 2)*(16 - 2*i - 16) + 0*i - 2*i + 0*i) + (3 - 4 - 1)*(3*i + 0*i - i).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334005 - 41.\nAnswer: 333964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 4*u**2 + 0*u + 7 - 5*u + u**3. Let h be x(5). Let s = 5768 + -5764. Which is the second biggest value? (a) 0 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3632 + -2024. List the prime factors of b.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-30)*((-11)\/(-5) - 1). Solve 0 = 2*b - o, -4*n - 2*b = n - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544498 by 272249.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/5 + 534302*s**3\/5 - 1602918*s**2\/5 + 1602922*s\/5 - 534308\/5 = 0 for s.\nAnswer: -267154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (15 + (1 - (5 + -2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 19*s**5\/60 - 5*s**4\/24 + 5*s**3\/6 - 2*s**2 - 18*s. Let v(g) = 161*g**2 - 42*g + 42. Calculate -42*k(j) + 5*v(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106)\/3*35\/(2870\/123)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -3, -0.041?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*6*-1*sqrt(448)*-4*-3 + -5)*5)**2.\nAnswer: 432000*sqrt(7) + 1451520225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 21*s - 2102 = -25*s, -5*s + 8353 = 4*q. List the prime factors of q.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 10*l**2 - 11*l + 9. Let y(q) = q**2 + 7*q - 1. Let h be y(-5). Let r be t(h). Suppose r*z - 46 + 1 = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**4\/6 + 30*b**3 - 183*b**2 + 18*b + 2. What is the first derivative of h(l) wrt l?\nAnswer: -4*l + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 9. Calculate the remainder when 96 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 4. Let u(x) = -6*x + 20. Let o(r) = -4*q(r) - u(r). Calculate o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((4\/(-2))\/(420\/(-105))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {n: 2, u: 2, o: 2, c: 3, v: 2, p: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 5. Let t = 11 + 4. Let j be 84\/t - (-9)\/(-15). Calculate l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.7, 1.94, -2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 12. Let x be g(8). Let v(o) = 5*o - x - 4*o + 5. Give v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 73561.12 nanograms?\nAnswer: 0.07356112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -45900?\nAnswer: 19\/15300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/120 - z**5\/10 + 25*z**3\/6 + 7*z**2\/2 + 4*z + 3. Let u(h) be the first derivative of x(h). Differentiate u(p) wrt p.\nAnswer: -3*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2 - 1275*f + 31944.\nAnswer: 4*f - 1275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.84, 2, -1, -3\/55?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1203 = 5*o + 1233. Let s(d) = -26*d - 32. Determine s(o).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3791*a - 246268. What is r(65)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z = 68*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1925 + 2813. What is the greatest common divisor of 48 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28014\/13 or -2156?\nAnswer: -2156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2790768*t**6 - 4115042*t**2 wrt t.\nAnswer: -334892160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -c + 68479, 0 = 2*a + 9*c - 42576 - 3085. List the prime factors of a.\nAnswer: 2, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79\/2 + -40. Let s = 0.2 + -0.4. Let f = s + 4.2. What is the nearest to r in 2\/9, 1, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4957*u**2 - 12*u + 105. Let a(w) = -34704*w**2 + 82*w - 736. Let o(b) = -3*a(b) - 20*s(b). Find the second derivative of o(c) wrt c.\nAnswer: 9944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3165, 12598, 28307, 50292?\n\"Answer: 3138*i**2 + 19*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 6*j. Suppose j = -10*x + 9*x - 46. Let u = x - -50. Solve u*n = n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.3 (c) 2.7 (d) -6\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 539900 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 86*i**2 + 64*i - 204. What is the tens digit of s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01002624091 to 4 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2 - b - 1. What is the tens digit of q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -18. Let r be (6\/j)\/((-2)\/(-6)). Let i(y) = y**2 + y - 1. Give i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 + 105129559*o**2 - 210259121*o + 105129561 = 0?\nAnswer: -105129561, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k - 22. Suppose 2382*t + 97 = 2355*t - 11. Calculate j(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccrccrcrcccc. What is prob of sequence cccr?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -108*n**3 + 2101*n - 9. Let r(g) = -77*g**3 + 1401*g - 6. Determine 5*h(a) - 7*r(a).\nAnswer: -a**3 + 698*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1045587*r**3 + 4446080.\nAnswer: 3136761*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -2 + 3 + (-695 - -703)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, 127, 353, 655, 1033, 1487, 2017?\n\"Answer: 38*u**2 + 36*u - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25714 - 19540 = -799*i + 11475 for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 515.149 + -518. Let v = -3.08 - h. Let y = v - -0.22. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 4629151 = 180749151. What is s rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97085 at most as big as -97086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - u = -5*g - 1013, -g + 254 = u. Suppose 249*q = g*q - 232. What is the greatest common factor of 58 and q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 21*g - 6. Let v be u(7). Let z be (-3 - v\/(-4))\/((-3)\/6). Suppose -4*p + 311 = 23. What is the greatest common factor of p and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9743, -19473, -29203, -38933?\nAnswer: -48663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*x**4 + 3*x**3 - 42.\nAnswer: 80*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(98) + sqrt(98)*-4)**2 + ((sqrt(98) + sqrt(98)*-3)*6)**2.\nAnswer: -126*sqrt(2) + 15003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**11\/(w*w**14\/w*w) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a - 199. Suppose -5*p - 2946 = 5*d - 3041, -d = -4*p - 9. Calculate w(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182433 is divided by 60718?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 21*n**2 + 32*n + 13. Let a = 32 - 54. Let q be o(a). Let i = q + 781\/4. Calculate the common denominator of -59\/10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -1\/3, -23, 0, -2\/11, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -4, 16, 46, 92, 160, 256?\n\"Answer: b**3 - 4*b**2 + 21*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 55?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 95*p**2 + 433*p + 1688. Calculate r(90).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 - (-2071)\/218\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4357800?\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(22) - sqrt(2662)*2)\/sqrt(11)*3)**2 + ((sqrt(192)*-2)\/sqrt(12))\/(sqrt(72)\/(2*sqrt(9))).\nAnswer: -4*sqrt(2) + 7936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*(sqrt(30) - sqrt(120)\/sqrt(4)))\/((2*sqrt(30))\/sqrt(3)))**2 + (-5 + 2*sqrt(108) - (sqrt(108) - ((sqrt(108)*-2)**2 + sqrt(108))*6)).\nAnswer: 42*sqrt(3) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 3*x**2 - 3*x**2)*(0*x**3 - x**3 + 2*x**3) - 137630*x + 12*x**5 - 13*x**3 + 137615*x + 33*x**3.\nAnswer: 10*x**5 + 20*x**3 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100001000010 (base 2) to base 11.\nAnswer: -32492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let d = 4 + w. Solve u = -d*q - 17, -5*u = -3*u + q + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -88.\nAnswer: 5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*i**4 + 308*i?\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13224*i - 4408*i + 4*i**2 - 4403*i - i**2 - 4412*i + 57 as m*i**2 + n + g*i and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9844, -9875, -9912, -9961, -10028, -10119, -10240?\nAnswer: -10397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 523\/2733 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -6, 7, -2, 533 in decreasing order.\nAnswer: 533, 118, 7, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 221, 2430, 6103, 11240?\n\"Answer: 732*a**2 + 13*a - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**7\/21 - 2*d**6\/15 + d**4\/3 + d**3\/3 + 8*d - 17. Let h(c) be the first derivative of k(c). Factor h(f).\nAnswer: -2*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/402 + (-11189360)\/591439485.\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 4*x**2 - x - 1. Let a be v(3). Solve a*b + 23 + 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(4\/3)*f*f**(4\/3))\/((f**0*f)\/f)**(-2\/21))\/((f**(2\/3)\/f)**(-46)*(f**(-1)*f*f)**11) assuming f is positive.\nAnswer: f**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*r - 1923, 1442 + 1761 = -5*r - 3*s. Let f = -181 - r. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -355 + 375. Suppose -5*n - 4*o + x + 7 = 0, n + 2*o - 9 = 0. Solve 0 - n = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5144532 - -13004999. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/3 - -1) + -64. Sort q, -2, 2 in descending order.\nAnswer: 2, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 2*b**2 + 4*b + 6. Let m be y(0). Suppose -m*x + 1477 = x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 - 3*f + 6. Let l be t(4). Suppose -3*n + 4 = n. Calculate the remainder when 1 is divided by -2*(l\/4 + n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) -81 (c) -0.3 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.59707 to 2 decimal places.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k - 40 - 13*k + 32*k.\nAnswer: -30*k - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -213?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -44\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.923576097 to 2 decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 661*k**2 - 36*k**3 + 41*k**3 + 24500*k + 39*k**2.\nAnswer: 5*k*(k + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/(s*s\/(s\/s**(-7)))))\/s*s)\/s**5)\/((s**(2\/7)\/s)\/((s**(-1)\/s)\/s)) assuming s is positive.\nAnswer: s**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 5*l. Let b(j) = 2 + 33*j**2 - 4*j - 32*j**2 - 2. Let f(a) = 4*b(a) + 3*d(a). Give f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*8 - ((93021\/(-1) - -16) + 10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 310. Suppose 3*s - 48 = 3*t, 3*t + d = -0*s + 4*s. Suppose 88*w - 32*w - 448 = 0. Calculate the lowest common multiple of w and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505 minus -0.059557642?\nAnswer: -2504.940442358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 577660 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995696671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179764.\nAnswer: 2, 13, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 68*b**3 + 2*b**2 + 2*b + 121. Let a(c) = 203*c**3 + 7*c**2 + 7*c + 363. Let r(n) = -2*a(n) + 7*u(n). Find the first derivative of r(f) wrt f.\nAnswer: 210*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -100*v - 2837. Calculate p(-20).\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u - 180. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 - 1316*o**3 - 18836*o**2 + 1316*o + 18840 = 0.\nAnswer: -314, -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2858907 by 1.\nAnswer: -2858907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 1359, -734, -1 in decreasing order.\nAnswer: 1359, 6, -1, -2, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 10*a + 25. Calculate the greatest common divisor of a and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71565+7\nAnswer: -71558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 34. Suppose 8*d - 46 = 10*d. What is the units digit of v(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129\/88 - -12\/11. Let m = -41\/33 - -21\/11. Let y = 0.6 - 0.2. What is the nearest to m in p, 1\/6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/10*-10 + (19 - 14). Solve p = 3*r - 14, -5*r = -3*p - w*r - 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 7, 0, -1 in decreasing order.\nAnswer: 7, 3, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let u be g(3). Let z = -5612 + 5614. Solve u*l - 4*v + 4 = 0, v - z = -l - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42203440 to the nearest 10000.\nAnswer: -42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 12 - 8 = 5*g, -3*g + 20*u - 30*u = 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -824*n - 5765. Let g be f(-7). Solve g*o - 11 = 5*m - 7*m, 2*o - 12 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1477007050 by 5.\nAnswer: 295401410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/8 - (-2)\/6 and -47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1290\/(-18) - -3*4\/18. Which is bigger: -70 or a?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) + 4\/(-10). Suppose 0 = 8*g + 314 - 58. What is the remainder when 39 is divided by (-1)\/((36\/g - d) + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*i + 43*i - 2320. What is the greatest common divisor of i and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -3 (c) 1 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (5 + -2)) + 10 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + f + (5 - 4 - 6)*(3*f + 0*f - f))*(143*f + 149*f - 314*f).\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, 132301 in decreasing order.\nAnswer: 132301, 34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -13*v + 51*v - 853644. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -3.8\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 541*y**2 - 323*y + 25745. What is l(180)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Suppose 3 = 5*s + 28. Let o = 9 + s. Suppose -o*n = 12, -2*n - 19 = 4*b - 1. Calculate u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1 + 3) - -47. Let u be -1 - (-3)\/(6\/218). Suppose 4*m - u = 5*v, 2*v = -5*m + m + 136. Calculate the greatest common factor of g and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4526 and -3\/155.\nAnswer: 22630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 197*l**2 + 9*l - 1. Let j be h(2). Suppose 257*t - 264*t + j = 0. What is the smallest common multiple of t and 9?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -7. Let s(l) = l**2 + 6*l - 2. What is the tens digit of s(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 1 + 65 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.82 + 53. Let x = -0.28 + r. Is x equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*34\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 - -429?\nAnswer: 429.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21*(3\/(-30))\/(14\/(-140))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j = 2. Suppose -z = -2*q - q + 3, 2*q + j*z = -6. Suppose q = 2*h + h - 159. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942784965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 39, 42, 45, 48?\n\"Answer: 3*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 61*c - 15. What is y(61)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f - f**2 - 19*f + 9*f + 14. Let b be t(6). Suppose -b*h + 1 = -h. Calculate the highest common divisor of 5 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:46 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 13*b + 16 = 0. Suppose 0 = 5*m - b*m + 2*u - 232, -5*u + 692 = 3*m. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -12, -7, 1 in decreasing order.\nAnswer: 4, 2, 1, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -3, 0.144, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 38388 = 4*v, -5*q + 100476 - 4506 = 2*v. Suppose 13*c - 7*c - q = 0. Let a = c - 1802. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let p = 0 + o. Let t = p - 0.9. Are -1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 81. Give s(-34).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*o - 146*o + 286 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 4*f - q = 0, -4*f = -4*q + 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {l: 2, b: 2, p: 1, k: 1, o: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3*o + 4)*(3*o - 2*o + o + 42*o**2) to the form i*o + y*o**2 + x + d*o**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9757585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3925 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25158 by 1797.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/68)\/(18\/8). Let b = -5\/17 - g. What is the smallest value in 0, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*h - 2)*(4*h - 4*h + 2*h) + 5*h - 5*h + 3*h**2)*(-1 - 2*h + 1 + 337 - 337 - 35*h + (-2 + 4 + 0)*(-h + 0*h - h)).\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 4. Let z = -9 - -4. Let j = -4 - z. Which is the nearest to j? (a) 2 (b) -2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/120 - z**5\/4 + 25*z**4\/8 + 3*z**3\/2 + 4*z. Let f(o) be the second derivative of a(o). Let f(k) = 0. What is k?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9662, -1 in ascending order.\nAnswer: -1, 4, 9662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85558399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w + 2 = 51*w. Solve w*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 4*w**2 + 22033 - 21989 + 8*w - 5*w = 0. What is w?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026397393 to seven decimal places.\nAnswer: 0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*k + k + 9, -4*s + 12 = -4*k. Solve -s*f + f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 - ((-25)\/((-750)\/165) - -21).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*w**3 - 73355*w - 9158032 wrt w.\nAnswer: 87*w**2 - 73355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362464 + 4?\nAnswer: 362501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**12*y*y**(-2\/91)*(y\/(y*(y*y\/(((y*y**(-2\/25)*y)\/y)\/y*y))\/y*y)*y)\/y*y**(4\/7) assuming y is positive.\nAnswer: y**(30643\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - (50 - 44).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 14 = -y + 91, -y = -b - 79. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3481 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04775 - -0.25225. What is the smallest value in a, -0.14, -0.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 2\/3, 1\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - 1. Let t be m(7). Is (-1272)\/(-10) - 4\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52 - 34 + 177)*(r - 3*r + 0*r) to the form q + b*r and give b.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:44 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkk. What is prob of sequence kz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -704.2 - -705. Let x = n + -0.7. Which is the nearest to -0.1? (a) x (b) -79 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 1168?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 268463017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 308*o**3 - 312*o**2.\nAnswer: 4*o**2*(o - 1)*(o + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 483, 724?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 16*d - 71. Let n be u(7). Is 510 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15611\/8 - 1956. Find the common denominator of j and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 316, -0.4, 34, 1\/69, 0.2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 476515*o**5 + 1768991*o?\nAnswer: 9530300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 18 - i**2 + 641*i + 4*i**2 - 7*i**2 - 667*i. Let m be b(-7). Solve 4*v + m*l = -12, -2*v = l - 2*l + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 2*q - 10*q - 3*q**2 + q**4 + 9*q in the form m*q**3 + l + b*q**4 + c*q + k*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o. Suppose 3*a + h = 8, o = -2*a + 6*a - 4*h. What is the greatest common factor of a and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - f = 16, -f + 5*f = 0. Suppose -3*r - 1083 = r + 3*u, -r - c*u = 274. What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2116 and 32200?\nAnswer: 740600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135.8 + 138. Let h = v - -1.8. Let i = 0.4 + 1.6. Put 0.4, h, i in increasing order.\nAnswer: 0.4, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215388\/1771 - -555405691\/3860780. Let v = 342673\/11990 - 629\/22. Let p = m - v. Find the common denominator of p and 44\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 + 16*t**2 - 116*t + 96 = 0.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfggfggafag. What is prob of picking 1 f and 1 a?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/54899970 and -65\/374.\nAnswer: 603899670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-95)\/(-35) + (-4)\/(-14). Let v be 2689\/210 + s\/18. Let o = v + -88\/7. Which is the third smallest value? (a) 1 (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 72 - 68 = 0. Let y = j + -52. Let a = y - -43. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-3514*f + 3514*f - 246*f**3).\nAnswer: -246*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, -9, -33, -67?\n\"Answer: -5*r**2 + r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -17*q + 1. Let d(r) = -2*r - 1. Let l(w) = -2*d(w) - n(w). Let y(u) = 3*u**2. What is y(l(j))?\nAnswer: 1323*j**2 + 126*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15641255 is divided by 154863?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 12212 - 5503. List the prime factors of (-2)\/(-12) - l\/30.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2358 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 72*x**2 - 77*x - 35. Find the first derivative of v(j) wrt j.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-764)\/18 + 6360\/14310.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 103472503 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/4 (c) -7\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 21 = j, 0 = -2025*j + 2029*j + h - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-117)\/65 + (-134)\/(-5). Solve w*r - 22*r = -9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 4)*(5*v - 2*v + v)*(0*v - 5*v + 2*v + (0*v - v - v)*(-3 + 5 - 1)).\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -239. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, 0, 0.2021, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45783.1 decades?\nAnswer: 457831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d + 320. Calculate u(-30).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -59. Sort -1, 1, p.\nAnswer: p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (2 + -3*1). Let l = s + 1. Suppose -k + l*o + 18 = 0, 5*k + o - 7 = k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2 and -133\/636.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**(-2\/31)\/c)*c)*c*c**(1\/5))**(2\/13) assuming c is positive.\nAnswer: c**(42\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/7))\/t)**(-48\/11)*t**(-1)*t**0*(t**(-1)\/(t*t**(2\/21)*t))\/(((t\/t**(-1\/5))\/t)\/(t\/(t*t**(-3)*t))) assuming t is positive.\nAnswer: t**(-173\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, a: 5, u: 6, o: 2}. What is prob of sequence oyuu?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 33712754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.2, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:40 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.84 - -0.16. Let d be ((-3)\/(-18))\/(2\/6). Let r = -99 - -497\/5. What is the closest to d in -0.3, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0, -79 in ascending order.\nAnswer: -79, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = v - 2. Suppose v = -34*z + 31*z. Is z at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2919678?\nAnswer: 2, 3, 463, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 25145a3?\nAnswer: -25145a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 595.9823 hours?\nAnswer: 2145536280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 2*s + 1002 = 906 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -184, -222, -296, -418?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10711982.44 to the nearest one hundred thousand.\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (11 + 4 + -3). Let r be 2*30\/m*8\/(-20). Suppose -r*z - z = -24. Is z at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 3 + -28 + 10\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/40 + y**5\/20 - 26*y**2. Let i(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x - 2. Let t(u) = -2086*u**4 - 6*u**2 + 1735*u + 12. Let o(r) = -6*c(r) - t(r). What is the second derivative of o(s) wrt s?\nAnswer: 25032*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**4\/13 - 154*k**3\/13 - 178*k**2\/13 + 324*k\/13 = 0. Calculate k.\nAnswer: -2, 0, 1, 81\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 11*f**7\/210 + 13*f**5\/12 - 566*f**3\/3 - 796*f**2 - f. Differentiate d(b) wrt b.\nAnswer: 44*b**3 + 130*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1250080 to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-174 + 8*u**3 + 170 + u**2 - 3*u**2) to the form t*u**2 + n*u + g + k*u**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1258020 and 1635426?\nAnswer: 16354260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 330497693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253765 is divided by 3965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 10 - n)*(2*n - 4*n + 0*n).\nAnswer: 2*n**2 - 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2 - -1) + -1 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((-1 + -1 + sqrt(72))**2 + sqrt(72)).\nAnswer: -760 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = -3*l - 6, 0 = y + 2*l + 4. Suppose -n - 4 = 3*n, y = -4*s + n + 53. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -951 + 936. What is the biggest value in 2\/3, x, 0.3, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95613506 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1150 + (-4)\/4 + -1. Suppose -4*h + g = 300. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 + 884. Suppose -4*p + 128 = 2*o, -5*o + p = -p - b. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - u + 13, u + 29 = 3*w + 6*u. Suppose 0 = -2*b - 3*p + 29, 0*p - 41 = -5*b + w*p. Calculate the smallest common multiple of 41 and b.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*3\/(-54) + (-6)\/27. Solve 3*d - 4 - 2 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 6. Is i(11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 5 - 21*z**2 - 21*z**2 - 15. Let c(i) = 1 - 3 - 13*i**2 - 1. Let r(h) = -3*b(h) + 10*c(h). Let q(u) = -2*u. Determine r(q(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0643 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -433020233 (base 5) in base 8?\nAnswer: -7023514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -226, -232, -240, -250, -262, -276?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*p**4 - 918487*p**3 - 50*p**2 - 1488360*p?\nAnswer: 3576*p - 5510922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from hhmmhhhmhhhmhhhhhh.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111291246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -80108\/33 != -2428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -2*h. Let l = h - -11. Let n(b) = -b**3 + 7*b**2 - 6*b + 4. What is n(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 5)*12\/5. Let a(h) = 11*h**2 - 3*h + 2. Let n be a(z). Suppose -7750 = 2*u - n. Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -286\/3?\nAnswer: -286\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 3, 8, -5, -19, -1, 20 in descending order.\nAnswer: 20, 8, 3, -1, -5, -19, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 + -1267\/11. What is the fourth smallest value in 0.3, 0.4, -0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -562 + 685. Calculate the remainder when 2090 is divided by o.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 354, 355, 356, 357?\n\"Answer: w + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 19117?\nAnswer: 439691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 + g + 9. Let z(b) = -4*b - 11. Let n be z(-6). Let r = n - 13. What is the units digit of d(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 - 13 + 13 - n**2 - 2*n**2 + 2*n**2 + (1 + 2*n**2 - 1)*(-2 + 0 + 8) + 0 + 0 + n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6903a - 1?\nAnswer: -69040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert fd8 (base 16) to base 11.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 2*p**3 - 2*p**2 - 2 + p**2 + 3*p**2 in the form j*p**2 + m*p + b + l*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4950 is divided by 1233?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8777633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2. Let x(l) = 36*l**2. Let d(u) = -21*k(u) + 4*x(u). Let a(p) = 0*p - 170*p**2 + 0*p + 156*p**2. Give d(a(w)).\nAnswer: -588*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 114.2. What is the smallest value in 12, n, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d - 3*a + 21, -4*d + a + 3 = 0. Suppose 25 = 3*t + d*t. Suppose -s - 1 - 1 = 0, t*s = 4*p - 30. Put 1, -2, p in descending order.\nAnswer: p, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 3*h - 2*h**4 + (-44*h**3 - 49*h**3 - 7*h**3)*(-3 - h + 1 + 2*h) to v + g*h**3 + r*h + f*h**2 + d*h**4 and give d.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, -167, 5 in ascending order.\nAnswer: -167, -21, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (3 + 1 + 11 + 67 + -68)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -424*n - 10. Let l(z) = -142041*z - 3352. Give 5*l(i) - 1676*r(i).\nAnswer: 419*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 4. Let c = -19.38 + -529.12. Let j = c + 548. What is the nearest to 1 in j, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4803 - 4803.03. Which is the fifth smallest value? (a) 9 (b) 2\/7 (c) -1 (d) 2 (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -10. Suppose -t*b = -6*b - 33. Suppose 2*p = -p + b. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516812929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 17079 + x + 9269 + 9003.\nAnswer: -2*x**2 + x + 1193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (2 + (-1 - 9)) - 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + -387448?\nAnswer: -387505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 1. Suppose 0 = 6*x - 6 + 30. What is the tens digit of t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/82493544 and 149\/13314?\nAnswer: 82493544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22625 (base 7) to base 6\nAnswer: -42505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1907d (base 15) to base 14\nAnswer: -217c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10\/(-4))*(-171952)\/7816?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djdmwddmnwom. Give prob of picking 1 j, 1 d, 1 m, and 1 w.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 - 105. Suppose -61 = b - s. What is b rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7426*s**2 - 14285*s**2 - 18817*s**2 - 8 + 8)*(s**2 + s**2 - s**2).\nAnswer: -40528*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - -2.37. Let f = m - -0.1. Round f to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and 1.5.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 2. Let h be c(-2). Let s = -5 - -9. Let d = -3 + s. What is the nearest to -2\/3 in 4, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(440))\/sqrt(10))\/sqrt(4) - (1 + (sqrt(44) - (sqrt(176))**2))) + (sqrt(99) + sqrt(99) + 6*(sqrt(99) + 1*sqrt(99)))\/(sqrt(720)\/sqrt(5)) + -5.\nAnswer: 5*sqrt(11)\/2 + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 57400\/245*(-4 - (-15)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - 2*o + 2. Determine w(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 187\/6498 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1099 - -1086. Suppose k - 2*i = -9, -19 + 5 = 2*k - 3*i. Calculate the lowest common multiple of 11 and (-7 - -9)\/(k - -3) - s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.156 + -10. Let f = 0.156 - p. Let y(g) = g + 3. Let l be y(-4). What is the nearest to 1 in f, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 5*f - 51840*d + 51844*d, -4*f - 2*d + 18 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253972592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4559 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 - 102 - 23*s**2)*(2*s - s**2 - 2*s) to the form g + t*s**3 + c*s + o*s**4 + u*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 139 (b) -0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(396) - sqrt(180))**2.\nAnswer: 6125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-23\/6))**(-1\/95) assuming m is positive.\nAnswer: m**(-23\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v + 8*v + 5*v**3 - 6*v - 7*v - 4*v**3.\nAnswer: v**3 - 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 8:22 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 5*z**4 + 0*z)*(-3 + 1 + 0)*(-2 + 0 - 1).\nAnswer: -30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -10. Let o = 199 - 46. Suppose -3*j + 0*j + o = 0. What is the greatest common divisor of y and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*y - 4, -2*y - p = -10 - 2. Let g be y\/16 + (3 - (-244)\/(-80)). What is the third smallest value in -2, -1\/27, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4475 - -11626. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((6\/(-471))\/((-10)\/25)) - (-6)\/(-15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125783858*c**2 + 126161220*c?\nAnswer: -251567716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(108)*2*-3 - (-1*1*sqrt(108) - ((sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108) + 1)) + sqrt(108) + 0)**2)).\nAnswer: -486*sqrt(3) - 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021 + 0.1814.\nAnswer: 0.2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.7 - 8.91. Let y = 144.27 - 145. Let f = n - y. Round f to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1034 divide 28910640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 81. Let u = -221 + 226. Which is the closest to r? (a) 4 (b) u (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -431 - -431. What is the second biggest value in 2\/5, y, -1, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -11440?\nAnswer: 11434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/5 - 396*p**2\/5 - 17424*p\/5 - 255552\/5.\nAnswer: -3*(p + 44)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 6\/5*u + 2\/5*u**3 - 18\/5.\nAnswer: 2*(u - 1)*(u + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(4 + sqrt(275)) + 1)*-1*-6)**2.\nAnswer: 1800*sqrt(11) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/840 and -67\/180.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 1. Let f be d(-2). Let o(g) = -g**2 + 6*g - 1. Let a be o(5). Suppose -f*t - a = -24. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190811020?\nAnswer: 2, 5, 9540551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 - (-4 + 23 + -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -0.4 (c) -1739 (d) 2 (e) -15\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000173171683 rounded to 7 dps?\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -456, -688, -872, -984, -1000, -896, -648?\n\"Answer: 4*t**3 - 260*t - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7)\/b)\/b*b**5*b**(-2\/7)*b\/(b*b**3)*(b*b*b\/b**(-1)*b**(5\/6))**22 assuming b is positive.\nAnswer: b**(2101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -110*m - 2238. Let v be y(-63). What is the greatest common factor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 168*z + 1939. List the prime factors of g(115).\nAnswer: 11, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {k: 11, v: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4208 and 11930206?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 155081.19s in minutes?\nAnswer: 2584.6865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r + 2*r**2 - 10*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y**2 - y. Give j(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 0.900222855\nAnswer: -40.099777145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56040 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10d + -1156?\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - q = -36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 9*r + 16 = 0. Let n be 58\/r - 3\/(-12). Let a = -275 + 275. Put n, 3, a in increasing order.\nAnswer: n, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - (-5)\/(-30). Let i(y) be the third derivative of -1\/30*y**5 + 0 + k*y**4 - 1\/3*y**3 + 0*y + 6*y**2. Factor i(q).\nAnswer: -2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4424, 35149, 118544, 280943, 548680, 948089, 1505504, 2247259?\n\"Answer: 4389*y**3 + y**2 - y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + y - 397*y**4 + 51*y**4 - 168*y**2 + 0 + 166*y**2 to p*y**4 + w + t*y + b*y**3 + q*y**2 and give p.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4143, -8270, -12373, -16440, -20459, -24418?\n\"Answer: 2*a**3 - 4141*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -2, 9\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3250221 + -1?\nAnswer: 3250220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275689 - 288541 = 189*p for p.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047169601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:30 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 155\/(-279)*(-1)\/(5\/(-2)). Which is the closest to 1\/3? (a) -0.4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uun. Give prob of sequence unu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.77?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 9. Let c be v(6). Does 10 divide 4 + 12\/c + 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623 = -55*n - 22*n + 238 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-36) - 3\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 0.2 (c) 3 (d) 2\/33 (e) 1.43892\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaayyaaa. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 a when three letters picked without replacement from {a: 1, s: 9, u: 4, o: 3, b: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 164, 158, 142, 110, 56, -26?\n\"Answer: -i**3 + i**2 - 2*i + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5582?\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 32*a + 7. Let d be f(5). Suppose -3*v + 2*p = -d, 0 = 2*p - 4*p + 4. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001401 rounded to 7 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3188*s**2 + 259*s - 37. Let f(b) = -177*b**2 + 14*b - 2. Determine 111*f(d) - 6*p(d).\nAnswer: -519*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 946795870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1 + (sqrt(312)*-3)\/sqrt(6))\/((sqrt(324) + (sqrt(324)*2*6 - sqrt(324)) - sqrt(324))*-4).\nAnswer: -sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 6. Suppose 2 = f + f. Let o be -2 + 0\/f - -4. What is the nearest to x in o, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.311363 rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 6, 4, 0, -9229, -10 in decreasing order.\nAnswer: 10, 6, 4, 0, -10, -9229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = r, 1109*g - 1107*g + 22 = -3*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**38\/(q**0)**(30\/7)*(q**(2\/3))**(-38)*(q**(1\/2))**(1\/2) assuming q is positive.\nAnswer: q**(611\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8365, 8355, 8323, 8257, 8145, 7975, 7735, 7413?\n\"Answer: -2*b**3 + b**2 + b + 8365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201121022 - -11?\nAnswer: 2201121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let j = 9 + -18. Let o = j + 11. Let p(d) = -d**o + 6*d**2 - d**2 - 5*d**2. Calculate p(a(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - 2 + 2 + (-3*k + k - 3*k)*(-k + k - 2*k**2) + 0*k**3 - 3*k**3 + 2*k**3 + (2*k**2 + 0*k + 0*k)*(3*k - 3*k - 2*k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10067 - 3*y**2 + 10067.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -31.77. Let h = k - -0.17. Let o = 4\/9 + -7\/9. Sort -3\/5, h, o in increasing order.\nAnswer: -3\/5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 13*f**8\/28 - 4*f**7\/21 - 2153*f**4\/12 + f - 31. What is the third derivative of l(i) wrt i?\nAnswer: 3120*i**3 - 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 67 = 3*q, -j = 3*q - 2*j - 73. What is the least common multiple of 33 and q?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 0*h - 1\/5*h**4 + 0 + 1\/5*h**2 + 0*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2 - (2 - 1)). Let k be 2\/8 + 140\/(-176). Which is the smallest value? (a) 0.5 (b) k (c) -2\/3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87966 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7801 - -7843) + (-1 - 65).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x**6 + 17*x**4 + 47*x**2. Let n(f) = -5*f**6 + 6*f**4 + 16*f**2. Let d(g) = -17*n(g) + 6*o(g). Find the third derivative of d(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/4720872 and -23\/11015368?\nAnswer: 33046104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (15 - 6 - 17)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63213179, 63213181, 63213183, 63213185, 63213187, 63213189?\n\"Answer: 2*f + 63213177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:57 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 855 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 197 + 3*s - 397 + 196. Calculate w(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4416074um in nanometers?\nAnswer: 441.6074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5)*140\/(-8). Suppose -5*y = -3*o - j, -o - 2*o - 21 = -3*y. Let f = 9 + o. Solve -7 = f*h - 5*d, -h - 4*h + 26 = 2*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a. Suppose 0*m + 4*m - 120 = a. Suppose 74 + 86 = 40*d. Solve -4*z = -l - 9, 5*l = d*z + z - m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*s + 10, 0 = -0*s + 5*s - 2*t + 21. Let g(i) = -2*i - 7. Let o be g(s). Which is the closest to -2\/3? (a) o (b) 2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 289*r + 4328. Give l(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = g + 3 - 30, 3*g - 4*l = 95. Suppose 0 = 2*q + 43 - 37. Calculate the remainder when (q - -1) + 4 + 54 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -74*f**4 - 10*f**2 - 16*f. Let d(i) = -25*i**4 - 3*i**2 - 5*i. Let v(t) = -10*d(t) + 3*r(t). Find the second derivative of v(b) wrt b.\nAnswer: 336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1189726533 to the nearest integer?\nAnswer: 34492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7493699 to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46 + 0 + (-3 + -2 - -4). Let w = 89 - x. Let r = -163 - -273. What is the greatest common factor of r and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/594*(-4 + 1). Suppose 6*n = 2*n. Let d be ((-2)\/(-12))\/(24\/(-64)). Which is the nearest to n? (a) 0.4 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-31)*((u**(-1\/8)*u)\/u)\/u*u**(1\/6) assuming u is positive.\nAnswer: u**(1373\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 5 + 27. Let p = 2 - 0. Put p, 0.1, f in increasing order.\nAnswer: f, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + 3\/3. Suppose 22 - k = 5*n. Let a = -2 - -4. Solve 10 = a*v - n*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3173 and 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {v: 5, b: 13, a: 1, c: 1}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(700) - (sqrt(700) - (6*sqrt(700) + sqrt(700))) - sqrt(700) - sqrt(700) - sqrt(7)) + sqrt(7)).\nAnswer: sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h + h + (5 - 3 - 1 + (-2 + 1 - 1)*(2 + 5 - 5) + 2 + 2 - 3 - 1 + 2 - 4)*(2*h + 5*h - 2*h).\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -270, -529, -770, -987, -1174, -1325, -1434, -1495?\n\"Answer: b**3 + 3*b**2 - 275*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 83, 143, 219, 305, 395, 483?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, p: 11}. What is prob of sequence ppqp?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5\/2)\/l)\/(l\/(l\/l**9)))**(-24)\/(((l\/l**(2\/3))\/l)\/l**(-4\/7))**(-2\/111) assuming l is positive.\nAnswer: l**(699296\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3*s**5\/20 + s**4\/12 + 2*s. Let m = -82 - -83. Let g be p(m). Solve 0 = -2*l - g - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 5:37 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/8 + 117*d**2\/8 - 570*d + 7400 = 0?\nAnswer: 37, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:51 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + (-3 - 8) + 4. Solve d*y = 16 - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (178\/(-14))\/(7\/(-1176)*-24)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 1553, 3114?\nAnswer: 4675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 - 3*u - 7. Suppose 0*t - 3*t = 3*r - 3, 0 = 3*t + 4*r + 2. Is b(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1544 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:29 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 360?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (1 - -2))*43. Suppose u - 97 = -q. Let j = u + 21. Calculate the highest common divisor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18416, -18417, -18418, -18419, -18420, -18421?\n\"Answer: -m - 18415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j + 3*j - 9*j + 13*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22 - (-2 - -4 - 0). Let n = -4 - w. Let j be 18\/n*2 + -2. Which is the second biggest value? (a) -2 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 11*y - 3. Calculate z(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 3\/2*s + 3 - 1\/2*s**3 + 0*s**2. Factor y(x).\nAnswer: -3*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (0 + sqrt(11))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = h + 285, 5*h = -5*y - 0*h + 325. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 10:40 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - o - 268152 = 2*o, -12 = -4*o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3689*i**2 - 12*i + 18. Let u(q) = 247163*q**2 + 806*q - 1209. Give 403*p(s) + 6*u(s).\nAnswer: -3689*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/5 + 191520*a + 70873352\/5 = 0.\nAnswer: -74, 478874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2624*-1612.\nAnswer: 4229888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793233.\nAnswer: 2793233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0*c - c)*(2*c - 3*c + 6*c) - 9*c**2 - 11*c**2 - 51*c**2 as q*c + k + y*c**2 and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 77447527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202 + 201.6. Which is the nearest to 2? (a) 11 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:17 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12777 and 20142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4\/3 (b) -2\/3 (c) -2\/15 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-311)\/(-933))\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -c, 3*k = 3*c - 5 - 1. Find the third derivative of -2893*s**2 + 2870*s**k + 20*s**5 + 50*s**5 wrt s.\nAnswer: 4200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2796138071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -10. Let f(z) = -4*z**2 + z**3 + 3 + z**3 - z**3 - z. What is f(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and -379.\nAnswer: 19329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1803, -1798, -1793, -1788?\n\"Answer: 5*f - 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Let c be h\/(135\/(-6)) + 0. Are 0.1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -2\/9 (c) -9 (d) -3 (e) -7331 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:50 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*n + 64, -3*q - 4*n + 0*n = -62. Calculate the remainder when q is divided by (-1 - -2)*14\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -7, -23, -1\/9 in ascending order.\nAnswer: -23, -7, -1\/9, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -17*l**3 - 9*l**2 + 6*l - 3. Let h(u) = 32*u**3 + 17*u**2 - 11*u + 5. Determine -6*h(v) - 11*q(v).\nAnswer: -5*v**3 - 3*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -126792, -126777, -126736, -126663, -126552?\n\"Answer: c**3 + 7*c**2 - 13*c - 126787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95553859 rounded to four dps?\nAnswer: -0.9555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 - 9*i**2 + 13*i + 5. Let f(k) = k**3 - k + 1. Let x(v) = -5*f(v) - w(v). Is 18 a factor of x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248825 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14587677 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -221700 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188354 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*i - 6 = 0, 8*i - 3*i = -20. Suppose 2*a - 3 = 3*a. Let h be (-2)\/3*1*a. Solve -d*w - h*w + 25 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42630 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*v + 25, -4*q + 5 + 18 = -5*v. Let y = v + 5. Suppose -h - 23 = -5*f, 7 = y*h + 3. Solve 0 = -2*u + 3*u + 2*k - 14, -5*u + 3*k + f = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -26*k - 50. Give g(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u + 13. Let l(r) = -r. Let k(c) = -2*l(c) + v(c). Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 3*q - 1. Let h be r(2). Suppose y = 1 + h. Let f(a) = -a**3 + a. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 15 = -2*a + 5*o, 2*a - 3*o = 9. Solve -2*g - 3*g + 20 = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 20*j + 65490 = -23*j, -32772 = -t - 3*j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 138560*b**2 + 5*b + 1413764 wrt b?\nAnswer: 277120*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48887.42 nanograms in kilograms?\nAnswer: 0.00000004888742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*x + 30*x + 27*x - 34 + 9 - 25 as z + r*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Suppose -5*s + 24 = m, -2*m - 25 = -4*s + 3*m. Calculate the smallest common multiple of 4 and a(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 1\/156*x**4 + x**2 + 0*x - 2\/39*x**3 + 1\/390*x**5 + 0. Let j(i) = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 - 162. Suppose 96 = 5*j - 119. Let r = g - j. Solve 4*a - 1 = r*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 12. What is the highest common factor of m and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*v**3 - 117*c**3*v**2 + 94*c**2*v**4 - 2*c**2*v**2 - 2*c*v**4 + 2*c - 7*v wrt v?\nAnswer: 6*c**3 + 2256*c**2*v - 48*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**2*v**2 + 3*o**2*v + 8*o*v**3 - v**3 + 15*v wrt v.\nAnswer: 14*o**2 + 48*o*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 32 + 38 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - o - 1 + (-o + 0*o + 2*o)*(3 - 3 - 3).\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 + 321*w**3 - 30429*w**2 - 61809*w - 31062 = 0.\nAnswer: -167, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 5421 and -24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671.3378ns in days?\nAnswer: 0.0000000000193441875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyk when three letters picked without replacement from {b: 2, e: 2, c: 7, u: 1, y: 5, k: 3}.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -644*-368\nAnswer: 236992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 75*g**2 + 221*g + 431. Let w be u(-72). Solve 8*j + w - 119 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from aaaaauuaaaaa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002282626 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 15 = 0. Suppose 3*w + 14 = -y + 3*y, 0 = -h*w + 20. Suppose -o + y = -0*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 7*a**3\/6 - 3*a. What is the remainder when (-3 - 2)*-4*1 is divided by b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -12.04651 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 14) to base 7.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*((-3 + 2 + 2)*(-5 + 2 + 4) - 1 - 1 + 0)*(22*v + 17*v + 23*v).\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5796*n**2 + 117*n**2 + 363 - 393.\nAnswer: -5679*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n = 3*q - 5492, 2*q - 3654 = -5*n. Is q less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 340*k - 305787 = -345*k, 0 = 2*x - 5*k - 152871. What are the prime factors of x?\nAnswer: 3, 83, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2) + -4 + -1.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((0 - -2) + -11) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 7088987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34025953 is divided by 19980.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*g - 1994. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/((-750)\/4) + (-13)\/(-15). Put a, -4, 1199, -3 in decreasing order.\nAnswer: 1199, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2. Let o(x) = 2*x - 8. Calculate o(k(f)).\nAnswer: 8*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -22. Let j be (-20)\/90 + 2\/9 - n. Solve -a + j = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 56 = 10*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1083628529 rounded to six decimal places?\nAnswer: 0.108363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**6\/20 + 2*m**3\/3 + 3*m**2\/2 - 2. Let b(g) be the second derivative of p(g). Differentiate b(f) with respect to f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.8 + 55.3. Which is the third biggest value? (a) k (b) 4\/5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22800234701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -116\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + 15*a + 6*a)*(0*a - 4*a + 5*a)*(-1 + 1 + 6)*(-3*a + 4*a - 5*a) to l*a**2 + s*a + u*a**3 + i and give u.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 1. Let p(q) = 5*q - 2. Let z(u) = -u**3 - 16*u**2 + 22*u - 246. Let v be z(-18). Determine v*p(o) - 11*i(o).\nAnswer: 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a - -20d?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3 - 34*i + 4 + 6*i. Let n be l(-2). Suppose n = h + 2*h. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.682, 137, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(11)*2 + 2)*-5 + -1*(-1 + sqrt(11))*-3 + -5).\nAnswer: 90 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3863, 3783, 3703, 3623?\n\"Answer: -80*f + 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -878 and 1768.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1\/8 (b) 1\/9 (c) -5 (d) -68 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*l = g - 20, 0 = 3*g + 2*l - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7402 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -0.15 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhshhhdwhlh. What is prob of picking 2 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 176 = -148. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41151 - 41133. Let p(d) = -d**3 + 18*d**2 - 3*d + 38. Calculate p(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 0.047, -1\/7, 4, 2\/7, -7?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -167, -193, -257, -371, -547, -797?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 3.4. Let p = -0.5 + -3.5. Which is the third biggest value? (a) -3 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18368382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (337 + 28*y - 337)*(-10*y**3 + 1 + 12*y**3 - 10*y**3) as z*y**4 + f*y + h*y**3 + n + j*y**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 624050014 to the power of 1\/3, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 11 + 33 + -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 25*a**2 + 10*a - 865. Calculate s(-23).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 4*l**2 + 3*l**2 + 7*l - 3*l**2.\nAnswer: -6*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.639 and 1.\nAnswer: 16.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2692 and 23\/9616.\nAnswer: 6471568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 + 118. Let q = 26 + -31. Which is the closest to k? (a) q (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 643862613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/53 - -47\/159. Let u = 1 + -1. Is q at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-255)\/75 + (-33)\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 5*q**2 - 3*q - 5. Let u be v(-5). Let r be (-4)\/(-10) - 54\/u. Let y be -2 - (0 + 0) - r. Solve m + 6 = -y*h, 12 = -3*h - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, 11, 3, 37603, 4 in increasing order.\nAnswer: -5, -1, 3, 4, 5, 11, 37603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110122121 - -20?\nAnswer: -2110122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 15*i**2 + 5*i - 8. Let t be b(10). Suppose -3*y = -3*a + y + t, -5*y = 5*a - 845. Let z = 145 + a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4863, -19456, -43783, -77844, -121639?\nAnswer: -175168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 86. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 10*v**2 - 35*v + 372. Let h(c) = -c**3 + 6*c**2 + 9*c + 3. Let j be h(7). Let s = 23 - j. What is the lowest common multiple of l(10) and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 139.006 (b) 0.1 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 284523.8 millilitres?\nAnswer: 284.5238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from vhthtitupuut?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1587a (base 13) to base 3.\nAnswer: -2002020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 174260510, 348521019, 522781528, 697042037?\n\"Answer: 174260509*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 197890 and 791560?\nAnswer: 791560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**7\/280 + m**6\/40 - 3*m**5\/40 + m**4\/8 - m**3\/8 - 19*m**2. What is x in y(x) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbjb when four letters picked without replacement from {b: 2, j: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 113919*z**2 - 116225*z**2 - 2*z)*(0 + 1 - 3).\nAnswer: 4612*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522*g**4 - 1942*g**3 - 1997652*g**2?\nAnswer: -12528*g - 11652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 92, 2\/7, 4\/31?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/((-4)\/6). Let a = -4 + o. Let f = -5 - a. What is the third smallest value in 5, f, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 667\/22 + -306\/11. Solve u + 1\/10*u**2 + i = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2. Let j(v) be the second derivative of -v**6\/180 + 3*v**4\/4 - 18*v. Let y(h) be the third derivative of j(h). Determine f(y(s)).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*v - 2*q + 116, 3*v - 2*q - 164 = 0. Suppose 54*t = v*t + 4. Which is the second smallest value? (a) t (b) 3 (c) 0.2 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*h - 19, 2*j - 18 = -0*j + 2*h. What is the closest to j in 0.5, -37, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8919510 divided by -2973170?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) 4 (c) 3.153 (d) 1\/3 (e) -1\/7 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - -0.8?\nAnswer: 99.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -491 + 497. Let l(m) = 57*m**2 + 14*m + 25. Is l(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14007 and 1855420.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 6*c**2 - 6*c - 43. Let w(g) = -g**3 + 5*g**2 - 5*g - 42. Let r(x) = 5*b(x) - 6*w(x). Suppose 5*p - p = 0. Is 16 a factor of r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**9*q\/q**8*(q\/((q\/(q\/(q\/(q**(-1\/20)*q))))\/q))\/(q\/q**(-6\/7)) assuming q is positive.\nAnswer: q**(433\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and (36\/30)\/(1\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -38*r + 1015. Let l = r - 25. Solve -l*u + 5*u - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332333 (base 5) to base 8\nAnswer: 26511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296640 and 47340.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/1*-8. Suppose 3*k - 1 = 2*t - 5, -b*k = 2*t - 4. Solve -m + 6*m + t*w = 0, 0 = 5*m + 5*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 16*k = -4. Suppose k*m - 12 = 2*m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 29*n - 27. Give w(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, k: 1}. Give prob of sequence nn.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563830715.\nAnswer: 5, 7, 281, 57329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114821829, -114821821, -114821809, -114821793, -114821773, -114821749?\n\"Answer: 2*q**2 + 2*q - 114821833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*v**3 + 966653*v**2 + 19288746*v - 238280 = 0. Calculate v.\nAnswer: -11914, -20, 1\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 622\/124065 or 0?\nAnswer: 622\/124065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 297958*b = 297955*b + 15, 15 = -15*f - 5*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1879 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/18*30\/(-70).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 2*k**5 + 4*k**3 + 164*k - 164*k + 14*k**5 + (3*k**3 + 2*k**3 - 6*k**3)*(5*k**2 + k**2 - 4*k**2) - 4*k**5 + k**5 + 2*k**5 - 4 - 53*k**5 - 2 + 5.\nAnswer: -44*k**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54209, -54189, -54169, -54149, -54129, -54109?\nAnswer: -54089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1875*f**4 - 949*f**4 + 174*f**4 - 4661*f**2 wrt f.\nAnswer: -63600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 3, h: 5, b: 3}. What is prob of picking 1 k and 2 h?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = a + b, -2*a - 14 - 37 = 5*b. Let u be (4 + -1)*(-12)\/a. Suppose 3*o = 2*o + 4*k + 87, 5*o + u*k = 391. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5*w**2 - 2*w + 6. Let i be r(5). Let q(c) = -c**3 + 9*c**2 - 10*c + 11. Let g be q(8). Which is greater: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 21*i**2 - 48*i + 12 = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105164375 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/4, -413, -0.087, 1, -6\/5?\nAnswer: -413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3336*o + 26726. Calculate r(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.9628516 minutes to weeks.\nAnswer: 0.0053534575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 7*w**3\/3 - 10*w**2 - w. Let g(s) = 5*s - 11. Let m(i) = 1. Let l(z) = g(z) + 4*m(z). Determine -6*d(u) + 17*l(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*h**5*m**3 + 581*h**5 - 270*h**2*m**3 + 17*h*m**3 wrt h.\nAnswer: 1620*h**2*m**3 + 34860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 151*j + 151*j - 18 - j**3 to v + l*j + k*j**2 + w*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 55581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 82*h - 1613. What is f(18)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {t: 2, d: 3, r: 3, m: 1, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -0.37?\nAnswer: 4.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l**2 + 1. What is p(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose -j*p - p + 100 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6973*r**2 - 33*r - 125. Is o(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 26*p**2 + 72*p + 68. Give s(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.01205?\nAnswer: 0.01205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 3*p**2)*(-p - 2*p - 1 - 1).\nAnswer: -9*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g*j**2 - 21*g*j + 68221*g + 18165070*j**2 - 1 wrt g?\nAnswer: -4*j**2 - 21*j + 68221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 17}. Give prob of picking 4 c.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 1)*(-4 + 5 - 3) + (-2*r - 3*r - 2 + 4*r)*(-3 + 0 + 1).\nAnswer: 6*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/378)\/(50\/(-18)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-38\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 387279, 774567, 1161855, 1549143?\n\"Answer: 387288*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214 and 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2260*l - 123. Is f(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 - 93*j + 706. Give i(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = 4*d. Let s be 1\/(d - (-3)\/1). Which is the third smallest value? (a) 4 (b) 3\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -231*u + 20. Let k(h) = -232*h + 22. Calculate 6*k(j) - 7*x(j).\nAnswer: 225*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131 + 121?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -591 in -10, 4, 0, 0.4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4845 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3205877621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32\/5 + -91\/15. What is the second smallest value in b, -0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 2*m**3 - 11*m**3 + (-1 + 4 - 9*m - 5)*(2*m**2 + 3*m**2 + 0*m**2) in the form g*m**2 + t*m + c + l*m**3 and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17.9. Let z = -0.1 + f. Let w = 26927\/35892 + -2\/8973. Are w and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 5460*u**2 - 275335*u.\nAnswer: -5*u*(u + 53)*(u + 1039)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.72. Let z = 1.52 + -1.26. Let h = z - x. Which is the closest to -2\/7? (a) h (b) 2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/17688 and -67\/96.\nAnswer: 70752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + (sqrt(121)*1 - sqrt(121))*5 + sqrt(121)))\/(sqrt(44)*5).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 4*w - 370 + 440 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 15*a**4\/4 - 2*a**3\/3 + 579*a - 301. What is the first derivative of k(y) wrt y?\nAnswer: 45*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0 - 2. Let m = -0.6 - -0.8. Let f = -0.1 - 0.1. Which is the second smallest value? (a) m (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**17 assuming a is positive.\nAnswer: a**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*u + 2*u - 4*u)*(4*u - 3*u + u) + (0*u + u - 3*u)*(9 + 2*u - 9))*(-14*u + 1 - 11 + 16*u) as b*u**3 + j*u + g*u**2 + t and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -162, -5, -210 in ascending order.\nAnswer: -210, -162, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 8427*h**2 + 341095704*h + 3451592479152 = 0.\nAnswer: -1072628\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32119483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2532*z + 16270 = -1454 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*u**4\/17 + 744*u**3\/17 + 550*u**2\/17 - 244*u\/17 + 22\/17 = 0. Calculate u.\nAnswer: -1, 1\/6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 36\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7541 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y - 31*y - 9*y - 1.\nAnswer: -55*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(64\/(-384))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35a + -d?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*f - 385, 0 = -0*h + h + 5*f - 103. Suppose -4*a - z = -h, -2*z + 157 = 5*a - 4*z. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20494*p + 20417*p = -1001 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - 2 + 2)*(-129 + 70 - 167).\nAnswer: -226*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -20, 18, 92, 214, 396, 650, 988?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -61 + 30 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 248*a + 15. Let c(p) = -96229*p - 5825. Let r(m) = 3*c(m) + 1165*i(m). Let k(d) = 3*d**2. Determine r(k(y)).\nAnswer: 699*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3186*b**2 - 1012*b**2 - 1089*b**2 - 1087*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/48913 and -33\/4715.\nAnswer: 5624995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*j = 8*k - 30, 4*j + 28 = 4*k. Suppose 0*g - 2\/3*g**4 + 0*g**3 + 4\/3*g**k - 2\/3 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let z(v) = 45 + 3*v - 2*v - 3*v + 15. What is j(z(r))?\nAnswer: -2*r + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**2\/2 + o - 1. Let u = -17 + 19. Let a = u - -1. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2574 = -45*s + 58*s. Calculate the remainder when 214 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -39. Suppose -81*r - c = -86*r. Solve -4*m - 9 - r = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -115*n + 318. What is the hundreds digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*w = 5*d + 5*d + 257 - 243, 5*w - 30 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w. Suppose 0 = -75*n - 31 - 53 + 9. Let d(u) = -6*u**2 - 3*u - 1. Give n*d(i) + 4*q(i).\nAnswer: 2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-5))\/(3*((-516)\/180)\/(-43))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 19934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-20))\/1)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*p**4 + p - 161*p**4 - p**3 + 8*p**2 + 2 + 309*p**4 in the form m*p + x*p**2 + k + f*p**3 + v*p**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let x = t - -1. List the prime factors of ((-6)\/10)\/(x\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:42 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1035 - 89. List the prime factors of h.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25074 - 14587. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 22410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + p + 42 = 0, -y + 3*y - 15 = p. Let w = y + -6. Solve -4*a - 19 = -h, -16 = -7*h + w*h + a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.268273 centuries to decades.\nAnswer: 52.68273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 3:06 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x**3 - 2409*x**2 + 1204*x**2 + 7*x - 4 + 1206*x**2 to the form a*x**2 + q + g*x + o*x**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1150 + 2843. Let l = v + 4256. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**3 + 22*r**3 - 8*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -20, 2\/3, 1\/8, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaavavaavavaavvv. Give prob of picking 1 v and 1 a.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24694, 25716, 26738, 27760, 28782?\n\"Answer: 1022*k + 23672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 2, x: 1, g: 2, m: 1}. What is prob of sequence mg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 8*j - 62. Find the second derivative of -3*y + j*y**2 + 9*y**2 - y - 51*y**2 wrt y.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 11*a**4\/4 + a**3\/3 - a**2 - 5*a. Let s be t(-2). Let j be (-22)\/s - 4\/(-14). What is the closest to 0.1 in 1\/5, j, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(5\/2))\/c)\/(c**(-3\/8)*c))**27*(c*c**(-4\/7))\/c**(-1\/3)*(c\/(c**(2\/9)*c))\/c*c*c*c**(1\/4)*c*c assuming c is positive.\nAnswer: c**(27425\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 - 165*k - 2665. Calculate q(-16).\nAnswer: 1511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668266103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1029*r**3 + 1 + 1629*r**3 - 2*r - 2045*r**3 in the form z*r**3 + u*r**2 + m + a*r and give z.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q*v**4 + 10*q + 3*v**5 + 3*v**4 + 2*v**2 wrt v?\nAnswer: 72*q*v + 180*v**2 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -4*c + 0*c**3 + 0*c**4 - 5\/2*c**2 + 0 + 1\/5*c**5. Differentiate n(j) with respect to j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*g + 36 = 18 + 18. What is the third biggest value in g, -5, -1, 2\/17, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018497 rounded to four decimal places?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5\/66, -1, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 477*w + 6355. Calculate p(-13).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -464, 5, 3 in decreasing order.\nAnswer: 5, 3, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1456 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/45567 and 143\/90.\nAnswer: 455670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 51911.329*-0.1\nAnswer: -5191.1329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + k + 5*r - 15*r - 22, 4*k - 4*r + 8*r = 8*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12))\/(10 + 0 - 13359\/1342)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94, 179, 254, 319, 374, 419?\n\"Answer: -5*z**2 + 100*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33735.\nAnswer: 3, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 + (0 - 0) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**8\/1344 + b**7\/504 - b**6\/144 - b**5\/24 + 13*b**4\/12 + b. Let m(i) be the third derivative of u(i). Factor m(h).\nAnswer: 5*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 52 + 64 = 0. Put -5, m, -21 in decreasing order.\nAnswer: m, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 1. Let g(p) = 10*p**3 - 3*p**2 + 5*p - 10. Let b(r) = g(r) + 4*z(r). Is 10 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3 - 21*r**2\/2 - 112*r. What is q(-17)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6490, 25216, 56428, 100132, 156334?\n\"Answer: s**3 + 6237*s**2 + 8*s + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, -1751, -7413, -18401, -36491, -63459?\nAnswer: -101081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 7*v - 7. Suppose -2*c + 5*j = 34, c + j + 11 = 2*j. Let u(o) = 2*o**2 + 6*o - 6. Give c*u(i) + 6*a(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {o: 2, s: 1, e: 7}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 13. Suppose -13 = -3*t - 49. Let d = t - h. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171)\/sqrt(81))*-6 + 3*-3*sqrt(475)*4.\nAnswer: -182*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48*49.05\nAnswer: 2354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -296 (c) 2\/129 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*i - 10 = 0, -2*i = 4*c + 2*i. Let b = -0.02 + -0.33. Let m = b - -0.15. What is the second smallest value in c, 2\/15, m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -7.1. Let y = 57 + -65. Let r = g + y. What is the closest to r in 0.2, 3\/7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3180\/65)\/(-6) + 27 + -19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -249.5213707 and -4.2.\nAnswer: -253.7213707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5138 (base 9) to base 8\nAnswer: 7261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1464)\/22)\/((-99426)\/(-182281))\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10314728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*2*(-1)\/2. Suppose 0 = -11*z + 12*z - 2. Suppose -5 = r - 2*p, 2*r + p - 7 + z = 0. Sort m, 2, r in increasing order.\nAnswer: r, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 p, and 1 s when four letters picked without replacement from {j: 2, p: 1, v: 6, s: 4}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*w + p, -7*w + 42*p - 68 = 18*p + 11*p + 17*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 - 150. What is the lowest common multiple of l and 14?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24914 and -1.69?\nAnswer: -42104.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h + 94. Let a(r) = 5*r - 63. Let x(f) = 7*a(f) + 5*i(f). Let q be x(7). Let j(u) = u**2 + 6*u + 6. Determine j(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 74*z + 216. What is h(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n - 3*n)*(-n**2 + 0*n**2 - n**2) - 6*n**5 - 4*n + 4*n + (2*n**3 - n**2 + n**2)*(n**2 + 1 - 1) + 5*n**5 - n**5 - n**5.\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + -2 - (-4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012978364 to six dps.\nAnswer: 0.001298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -83.\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -b634?\nAnswer: -b634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -6 - (2 - 3)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2, -f = 3*v - 1 - 1. Let q(r) = 1 + 3*r + 5*r**2 - r - r. What is q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1675 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 3*i + 0*i + (-1 + 0 + 3)*(0*i + 0*i - 2*i) - i + 3*i - i + i - 4*i + i)*(2*i**4 + 2*i**4 - 5*i**4).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -237044\/9 or -26339?\nAnswer: -237044\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 3074753.7\nAnswer: 3074753.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5148 and 286.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 2. Let a be (-288)\/(-162) + (-2)\/(-9). Let h(z) = -4*z**2 - z - 4. Calculate a*h(n) + 5*u(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329762 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 + 22*t - 16. What is the least common multiple of 51 and k(5)?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/6 + 33*h**2 + 574*h - 2. Let y(q) = 10*q**2. Determine y(r(s)).\nAnswer: 10*s**2 + 1320*s + 43560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -46. Suppose -q = 4*d, 5*k = -4*d + 46 + 17. Calculate the remainder when 237 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Let r(n) = n**3 + 5*n**2 - 4*n + 7. Let k be (3 - 2)*(15 + -21). Let p be r(k). Sort l, -1, p, 4.\nAnswer: p, -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 + a. Suppose 6 + 41 = 4*s + 5*x, 4*s - 35 = -x. Let o = s - 4. Let u(q) = -2*q + o*q**3 - 5*q**2 + 3*q - q + 5*q. What is 5*b(v) - u(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3946932 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/((-5)\/50). Factor -8 + 2*r + 2*r**2 + d.\nAnswer: 2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkcc when four letters picked without replacement from {k: 1, e: 9, l: 1, c: 3}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 4*u + 5. Let f(b) = 4*b**2 - 4*b**2 + 7*b + 4*b**2 - 9. Let j(n) = 2*n. Let h be j(-8). Let p = 10 + h. Determine p*f(x) - 11*y(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggz when four letters picked without replacement from zzgzgzzzzzzzazzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49076309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 2.34528\nAnswer: 6.65472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2955, 5934, 8915, 11898, 14883?\n\"Answer: r**2 + 2976*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 22556 + 108389 - 1998. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8*-10*(-48)\/420. Which is the nearest to -0.1? (a) g (b) -1 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(sqrt(6)\/sqrt(3)) - sqrt(8) - sqrt(8))\/sqrt(4))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-6)\/(-5))\/((378\/(-48))\/((-3570)\/(-119))).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3026 + 187*q**3 - 121*q**3 - 558*q - 762*q**2 - 2*q**4 + 4012*q - 1330.\nAnswer: -2*(q - 11)**2*(q - 9)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2. Let i be j(1). Let c = 11 - i. Suppose -w = -q + 13, 6*w - w - 16 = -c*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 387 - 371. Let g(d) = -24*d + 18 + 18*d + 43*d + 45*d. Is g(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 4 - -2 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/8*(-108)\/135.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 428373 and 475970.\nAnswer: 4283730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**5\/20 + u**4\/2 + 5*u**3\/6 - 7*u**2\/2 + 2*u - 28. What is b(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2183 + -2175. Solve -1122*g + 1114*g - q = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + 2487*p - 17*p**3 + 2449*p - 4936*p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81354086*q**2*r**2 + 9*q*r**2 - 6*q*r + 5*q + 22*r**2 - 14*r - 2 wrt q?\nAnswer: 162708172*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2288.34 - -1224.7. What is p rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8506 = -13*c + 54111 + 1707. List the prime factors of c.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*g + 2434, -4*j - 20*g + 4848 = -19*g. Let a = j - 20615\/17. Factor a*m**3 + 14\/17*m**5 - 4\/17*m**2 + 0 + 24\/17*m**4 + 0*m.\nAnswer: 2*m**2*(m + 1)**2*(7*m - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 68.1. What is the closest to z in -0.3, 2\/3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 8)*(-2)\/4. Sort -3, y, -4, -7 in descending order.\nAnswer: y, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 18 - 12 = 0. Let o be a*(5\/(-5))\/((-4)\/8). Factor 4\/3 - 22\/3*w**3 - 20\/3*w + 11*w**2 + 5\/3*w**o.\nAnswer: (w - 2)*(w - 1)**2*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 810 = -0*t. What is the greatest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38a45a (base 12) in base 8?\nAnswer: 3431006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(2*h + 2 - 2 + (4 + 1 - 3)*(0*h + 4*h - 2*h) + h + 3*h - 3*h).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/513 + -140339\/1007532. What is the common denominator of -43\/20 and o?\nAnswer: 9820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**4 + a + 2*a**3 - 6 + 0*a + 15*a**4 - 4 to j*a + d*a**4 + s*a**3 + h*a**2 + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262*u**3 - u**2 + 2*u - 38617.\nAnswer: 786*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 100*h + 666. Is y(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Suppose 0 = -6*s - 7 - 17. Let m(h) = 13*h**3 + 5*h**2 + 4*h - 4. Let y(d) = s*v(d) - m(d). Find the third derivative of y(f) wrt f.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 minutes after 6:03 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16797)\/88 + (-5)\/40. Suppose -k - 4 = j, 5 = -5*j - 10. Is o\/(2 + 3\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -138. What is the remainder when 89 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25402580 is divided by 396915.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:39 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25\/10*4\/(-10)*4\/6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 = -3*w + 10, 4*v = 4*w - 24. Let p = 48 - 27. Suppose -3*s = -0*s - 27. Solve -7*u + p = -3*u - b, -w*b - s = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5713328*z**3 + 74*z + 19386 wrt z?\nAnswer: 34279968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + 3. Let o(x) = -x - 1. Let m(t) = -2*o(t) - y(t). Let i = -7 - -8. What are the prime factors of m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/111111 and -97\/80808.\nAnswer: 888888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 2. Let r(o) = -188*o + 19. What is r(z) - 6*t(z)?\nAnswer: -182*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000103979 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n - 11. Let w be g(-8). Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6340 - 6339.5. Suppose 4*v = 1 - 5. Let l be 5\/(10\/(-8)) - v. Which is the nearest to l? (a) -0.1 (b) q (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41987 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from viucvivuvwccciivv.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j**2 + 2*j)*(0 + 2*j + 0) + 8*j**3 - 12*j**3 - 6*j**3 - j.\nAnswer: -14*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81563.94 microseconds to minutes.\nAnswer: 0.001359399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 22 = 5*s. Solve 3*y - s = -2*d, 5*y + d = -2*d + 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3632*j - 4293*j - 768725 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9 + 11*v**2 + 9 - 8*v**2.\nAnswer: 3*v**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-12) + (-28)\/(-33). Let i = -1 + 1. Let x = 3.7 - 0.7. Which is the third biggest value? (a) v (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87487 is divided by 43739.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2742982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.128, 4, -1\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -68848 times 0.01\nAnswer: -688.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**7\/140 - l**5\/20 - 2*l**3\/3 + 2. Let i(c) be the third derivative of j(c). Find the second derivative of i(g) wrt g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 4*j**2 + 0*j**2)*(171 - 6*j - 171)*(-3 + 3 - 3).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 20*j + 589370. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69890 = 2263*x - 59101 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + c**2 + 1. Let s(y) = y**3 - 4*y**2 - 3. Calculate -3*b(m) - s(m).\nAnswer: -4*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2 - 0)\/(27\/(-2))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3849222079 and 1090.\nAnswer: -3849220989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 44. Let q = a - -10. Is -25 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 505 and 74639.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3 + y + 0*y + 3. Let j(u) = -u + 0*u - u. Determine -7*d(w) - 4*j(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*m - 37 = 0, 26 = -0*p + 4*p - 2*m. What is the highest common factor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.724996 to one decimal place.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33014 (base 5) to base 14.\nAnswer: b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -894 - -1562. Calculate the least common multiple of 60 and j.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, -1\/5, -82, -5, -1\/10, 6 in increasing order.\nAnswer: -82, -5, -1\/5, -1\/10, 5\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40351.4 or -1525\/3?\nAnswer: -1525\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 149*p + 10129. Calculate o(-71).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38871 - 38811. Calculate the lowest common multiple of 2226 and b.\nAnswer: 22260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3885*o - 2128711 + 2128711 in the form q*o + d and give q.\nAnswer: -3885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by -428?\nAnswer: 101\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**5 + 219*u**4 - 3942*u**3 + 14820*u**2 + 75432*u + 56448 = 0.\nAnswer: -2, -1, 14, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.156 + 90.3. What is s rounded to two dps?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 5*j - 147. Suppose 0 = -2*l + 8, 2*a + l - 180 = -174. Calculate the greatest common divisor of j and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262914 and 82998.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 3. Suppose -5 = -3*v + b, 0 = -4*v - 5*b + 2 + 30. Calculate the remainder when 22 is divided by z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1045 + -302541?\nAnswer: -301452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2038*u**2 + 12*u - 23. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194537 is divided by 736.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*n = 1076*n + 98 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 take away 0.5?\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 4*h. Let g be n(5). Let b(w) = -w**3 - 7*w**2 + 12. Let k be b(-7). Suppose -24 = -0*f - k*f. What is the nearest to f in -0.5, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-30)\/((2925\/(-50))\/39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*l**4 + 2*l**3 + l**2 + 6424*l.\nAnswer: -312*l**2 + 12*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038818798 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -99 and -99 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 2 + 2)*(-4*z**3 + 2*z**3 - 5*z**3) + (3*z**5 + 3*z**5 - 5*z**5)*(-2 - 2 + 6).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 11 + 1. Solve -4*q = -2*q + 3*l - 6, -l + r = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/497 and 8\/9.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1782144 divided by -288.\nAnswer: 6188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + q = 6*b + 12434, 0 = -4*b + 2*q - 12436. Let a = b - -43469\/14. Calculate the common denominator of a and 2\/11.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 0*p**2 + p**2 + (0*p - 4*p + 3*p)*(3 - 3 + p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**3\/(q*(q\/(q*q*q**(-12))*q)\/q*q))**(-5))**(-11))**(-6) assuming q is positive.\nAnswer: q**3300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1\/4, -3\/47 in increasing order.\nAnswer: -1\/4, -3\/47, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(2*s + s + 6*s) + 15 - 41 + 15 + 11 + 229*s.\nAnswer: 238*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17.02 and -16877?\nAnswer: 16859.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/7783360 and -103\/96.\nAnswer: 23350080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 3*q**2 + 5*q - 5. Suppose 86*w + 270 = -160. Let i(n) = -3*n**3 - 3*n**2 + 4*n - 4. Determine w*i(v) + 4*t(v).\nAnswer: 7*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) -2 (c) 47 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5603kg in nanograms?\nAnswer: 9560300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(5336\/(-29)))\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558492.\nAnswer: 2, 3, 11, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40773674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Let n(t) = -t**3 - 3*t**2 + 3*t - 7. Let x(p) = -n(p) - 6*w(p). Let x(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-28)*s**(9\/4))\/((s\/(s\/s**(2\/11)*s)*s*s*s)\/(s\/s**(-2\/9))) assuming s is positive.\nAnswer: s**(-10181\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210770 divided by 3.\nAnswer: -210770\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 1, z: 2, v: 2, y: 3, t: 1, p: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1 + sqrt(832))*3 + -3 + 0 + sqrt(832) - (sqrt(1300)*-1 + sqrt(78)\/(-2*sqrt(6)))))**2.\nAnswer: -680*sqrt(13) + 94181\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.23 + -0.77. What is the third biggest value in z, 0.3, -0.023?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l. Let b(x) = 2*x - 50. Give t(b(w)).\nAnswer: -6*w + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87971 >= 10462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3405 - 957. Calculate the least common multiple of 2448 and u.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8679 - -8643.998. Round l to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -203 - -7652 - (-1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:58 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1038*i**5 - 137*i**4 + i**3 - 2*i**2 - 618*i + 9.\nAnswer: -62280*i**2 - 3288*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 17*o + 180. Calculate d(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*((2*sqrt(2448)*-2*-3)**2 - (2*(sqrt(2448) - (sqrt(2448) + 0)**2) + (sqrt(2448) - (5*sqrt(2448)*2)**2))))*-4.\nAnswer: -432*sqrt(17) + 7226516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from ssmmyssmsassssssyyy?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0768497867 rounded to five dps?\nAnswer: -0.07685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -63. Let k(u) = 0 + 4*u - 42*u**3 - 9*u**s - 6*u**3 - u**2 + 4. What is the tens digit of k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let r(l) = l**3 + 7*l**2 + 4*l + 30. Let u be r(-7). Suppose 181 + 119 = u*s. Let t(j) = 14*j + 150 - s. What is n(t(f))?\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 2*b**2 + b**3 - 1 - b**2 + b. Let i be a(2). Find r such that -6*r**2 + 3*r**2 + 5*r - 2*r**3 - i - 7*r**3 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.66 in -20.1, 0.18, 3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89955841\/2720 - -33072. Let c = n + -152287\/89760. Let k = 9827\/606 - 5\/101. What is the common denominator of k and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22306, 89229, 200772, 356935?\n\"Answer: 22310*z**2 - 7*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 8*o + 12. What is the remainder when 18 is divided by n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2546 - -3622. Suppose s + 1304 = 10*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66690148 is divided by 9527163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = 1. Let q = f - 4. Suppose 3 - q = -s + 4*u, 34 = 5*s + 2*u. Calculate the lowest common multiple of 4 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -621 - -1517. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*m + 342 = -608*m + 1197*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 2 - 3*r**3 + 3\/5*r**5 + 0*r**4 + 0*r - 3*r**2. Factor b(h).\nAnswer: 3*h*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324278 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 128254.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 68 (b) -0.1 (c) -0.2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - 17*i**2 + 10*i + 13. Let b be q(-9). Solve -5*y - j - 12 = 0, -b*y - 2 = -5*j + 2*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15660\/(-900))\/(15\/25).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4079645*y**2 - 745*y - 344 wrt y?\nAnswer: 8159290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*x - 2306*x + 768*x + 767*x + 48*x**2.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 3 = 0. List the prime factors of 4 - ((b - -2) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248805 and 8791110.\nAnswer: 26373330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 33\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825310 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*((n\/((n\/(n*n**(-16\/7)*n))\/n))\/n)\/n*n)))\/n)\/n*n\/n**19 assuming n is positive.\nAnswer: n**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-1)\/(-1)))\/(35\/105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101806676?\nAnswer: 2, 17, 73, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 + ((-204)\/15)\/(-1). Let o be 2\/v - 34\/221. Suppose o*a = -a + 4. Solve 2*l + c - 2*c + 3 = 0, a*l - 4*c + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13898748, -27797497, -41696246, -55594995?\n\"Answer: -13898749*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 615856418 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (3 + 3*sqrt(833) - (5 + 3 + sqrt(833)))**2)*-4.\nAnswer: -13440 + 560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6*r**2 - 10*r - 10. Let l be ((-43)\/5 - -1) + 2\/(-5). What are the prime factors of x(l)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (13 + -16 + -6)) + 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 5*q, a + 2*a = -2*q - 12. Let c = 3 + q. Suppose -2*g + 12 = c*v, -g + 3 + 6 = 2*v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k = -760531199 + 99171199. What is k rounded to the nearest one hundred thousand?\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. What is c in -4*c**2 - c + f*c + c = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21388.6 - 0.17?\nAnswer: 21388.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5878 - 0.3878. What is the nearest to -2 in 2\/7, u, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z = -230 + 225 - 684 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.08 - 3.22. Let s = t + 4. Let f be (-8)\/(-15)*3*(-2)\/8. Sort -2\/3, f, s in descending order.\nAnswer: s, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**5 - d**4 + d**2. Let m be (-3)\/2*48\/24. Let s(t) = 3*t**5 - 4*t**4 + 15*t**3 + 14*t**2 - 60*t - 72. Let n(o) = m*s(o) + 12*p(o). Factor n(x).\nAnswer: 3*(x - 3)**2*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1 - 4 - 4*b - b. Let i(o) = -5*o - 4. Let n(h) = -4*g(h) + 5*i(h). Let m(j) be the third derivative of -j**5\/15 + 2*j**2. Calculate m(n(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 10, w: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/55 - (-87)\/145.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:35 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2961\/7 + 2 + -3. Suppose -c + 427 = 2*m, 0*c + c - l = -m. What are the prime factors of c?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003121717 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 390\/20 + (-2 - -249*5\/(-30)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 402 - 394. Suppose 2*s + 3*s - 40 = -5*d, s = 5*d - 10. Calculate the remainder when v is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 982371 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Solve x*a + 7 = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 72 (c) 56 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10557, -38590, -84109, -147114?\nAnswer: -227605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times -14.7?\nAnswer: -455.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/141617 and 137\/60450228?\nAnswer: 423151596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13470 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 3*q**2. Let n(g) = 9*g**3 - 12*g**2. Let p(m) = 21*j(m) + 5*n(m). What is l in p(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 1. Let c be j(-1). Suppose -2*k - z + 10 = c*z, 2*k + 5*z = 12. What is the remainder when 26 is divided by (-1)\/(3\/(-15)) + k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + 8*b - 8*b)*((-2*b - 2 + 2)*(0 + 1 - 3) + b + 3*b - 3*b + 2 - 2 - 3*b) - 3*b**4 + 2*b**2 - 2*b**2.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - 12.1. Let r = h - -10.11. Let n = 0.18 - r. Round n to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1798 + 2179 - 12957 = 656*q + 9072 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4790 + 1736 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -66, -157, -284, -447?\n\"Answer: -18*r**2 - r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36799 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(4\/2) - (18 - 17). Which is the nearest to -2\/15? (a) p (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 p, and 1 t when four letters picked without replacement from {x: 4, t: 2, c: 3, m: 1, p: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 1 + 14*b + (5 - 5 + b)*(-2 + 4 - 4).\nAnswer: 12*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-44)\/(-22))\/(4\/6). Suppose -2*v + 3*i + 12 = c*v, -5*v = i + 4. Is 13\/10 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + -3*sqrt(32))**2 + (2*sqrt(2)*-6*5)**2.\nAnswer: 48*sqrt(2) + 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6508.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:56 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/36 and 113\/6918?\nAnswer: 41508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 701\/14 + -50. Let b(x) be the third derivative of 0*x**5 + 0*x + 0*x**4 + 8*x**2 + j*x**7 + 0 + 1\/3*x**3 + 0*x**6. Differentiate b(a) wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/9 - 15953*y**2\/9 - 79804*y\/9 + 223412\/9 = 0.\nAnswer: -7, 2, 15958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -t - 3, -2*t = -h - 7*t + 18. Suppose 0 = -j + 7 + h. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02241414 to four dps.\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3*m - 32*d**2*m + 26*d*m + 314*d + 4058347*m wrt d.\nAnswer: 3*d**2*m - 64*d*m + 26*m + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 261 + -267. Let f(b) be the second derivative of -b**4\/3 + 5*b**3\/6 + 5*b**2\/2 + 2*b. Let k(t) = 5*t**2 - 6*t - 6. Calculate j*f(r) - 5*k(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21100 (base 3) to base 13\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-1 + 15 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*q - 216*q + 528 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 470004*l**2 - 5640399*l - 12691080.\nAnswer: 3*(l - 156680)*(l + 3)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dggggegogggmegb. Give prob of sequence eem.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 5*z + 30. Let d(g) = g**2 + 16*g + 58. Let i be d(-7). Let w(x) = -3*x**3 - 9*x + 61. Let s(q) = i*a(q) + 3*w(q). Differentiate s(t) wrt t.\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/120 - 7*r**4\/24 - r**3\/6 - 2*r**2 + 16*r. Let l(a) = 6*a + 1. Let w = 29 + -27. Calculate w*z(k) + 3*l(k).\nAnswer: 2*k**3 + 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58820 + -328?\nAnswer: -58b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x - 1. Let j be d(-3). Let c = 106488 - 106485. Let r = -8 + 5. Sort j, c, 12, r in decreasing order.\nAnswer: 12, c, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, s: 5}. What is prob of picking 1 s and 1 w?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79388*k**2 + 69636*k.\nAnswer: 158776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -647.68 - -659. Let c = p + -11. What is c rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 2*w - 45679361*w**2 - 5*w + 3*w + 45679165*w**2.\nAnswer: -196*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/35 - 2*m**6\/15 - m**5\/10 + m**4 + 4*m**3\/3 - 14*m**2 + m. Let n(q) = 0. What is q?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 955331848 to the nearest integer?\nAnswer: 30908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8195440\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -72286 (base 9) in base 6?\nAnswer: -1004253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144430*t**3 - 2*t**2 - 2*t + 5651 wrt t?\nAnswer: 866580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = -0. Let k(m) be the second derivative of -5*m**4\/12 - m**3 + 5*m**2\/2 - 36*m. Let a(u) = u**2 + u - 1. What is d*k(c) - 6*a(c)?\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313010232 (base 4) in base 11?\nAnswer: 303488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let w(u) = 21*u**2 - 1. Let l = 22 + -15. What is the remainder when w(s) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110110011011101101 (base 2) to base 5\nAnswer: -311142113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 9\/2)*-2. Let x(m) = -2*m**2 - 20*m + 6. Let y be x(-10). Let s(q) = y*q**2 + 13*q - j*q. Let c(l) = -3*l**2. Give s(c(k)).\nAnswer: 54*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12816927 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -696 - -699. What is the second biggest value in -3, c, -214?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1168 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7419 is divided by 2416?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*d + 7*r - 2*r, -d = -5*r - 32. Let a be ((-49)\/(-14))\/((-2)\/(-72)). Suppose 0 = 9*y - a + 9. Calculate the remainder when d is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -f - p, 4*p = 0. Let w(z) = 2*z. Let n be w(-1). Let s = 3 + -3.5. What is the smallest value in f, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*s*x**2 + 6923*c**3*s - 407*c**2*x**2 - c*x**2 + 2*s*x wrt c?\nAnswer: 6*s*x**2 + 41538*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061333 is divided by 2606?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/6 - (-7)\/(-21). Suppose -v*b = 4*h - 2*b - 253, 0 = b - 5. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -186034*d**2 - 230662?\nAnswer: -372068*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43752165 at least 43752174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5514)\/(-16) + 33\/88?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*x + 312 = 0, -3*x - 2*x = 2*p - 208. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 4 - 8 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 657\/292*(-8)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -20. Let f = g - 35. Let v(d) = d + 2. Let z be v(8). Calculate the highest common divisor of z and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**2 - 133*q - 14*q**2 - 133*q + 438*q - 172*q.\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 8*v + 26. Let m be o(6). What is the closest to 4 in -2, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.84 + 0.16. Let j = v - 28. Let q = -24.92 - j. What is q rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 + 175. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*o - 3*o = -25, -6 = 2*o. Suppose 0 = -2*x - 6 - t. Let w(l) = l**2 - 6*l + 4. Let a be w(3). Is a not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - -3) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641326504802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -69.6. What is the second biggest value in 2, o, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1.791.\nAnswer: -5.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**9\/3024 - b**7\/840 - 2*b**3 + 14*b. Let v(o) be the second derivative of a(o). Let v(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082142 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2002189187 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:36 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 894*v**2 + 134112*v + 31483808.\nAnswer: (v - 508)**2*(v + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 16*w\/13 - 1890\/13.\nAnswer: 2*(w - 27)*(w + 35)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 30 = -5*l, -l + 0*l + 6 = -3*z. Suppose -9 = 3*k + l. Let v(m) = 2*m - 5. Let a(n) = -2*n + 4. Suppose 0*c = -5*c - 20. Give c*v(y) + k*a(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 3. Let g be j(8). Let k be 22\/(-231) - 1892\/(-21). Let a = k - g. Calculate the greatest common divisor of 93 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 79586975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/sqrt(28) - (sqrt(392) + (sqrt(392)*2 - sqrt(392)) + sqrt(392))\/sqrt(8))\/((sqrt(7) - (sqrt(84)*1)\/sqrt(12)) + 1*sqrt(175)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j + 2 = 2*r, 0 = -4*j - 2*r + 20. Suppose -2147 = -2*p - 3*t + 1658, j*p + 4*t = 5707. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2083227634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*o**2 + 4\/5*o**3 + 0*o + 0 = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9408 = 140*v - 44*v. What is the highest common factor of v and 1519?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*(-12)\/27. Let x = -1.4 - -1.5. Which is the nearest to 1? (a) 1\/7 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**5 + 14*f**4 - 2*f**3 + 10*f + 10. Let y(g) = g**5 - 5*g**4 + g**3 - 3*g - 3. Let b(n) = 3*r(n) + 10*y(n). Suppose b(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r - 42*r = 22 + 128 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9*-1*36\/(-81)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -91*d**3 + 2*d**2 - 2*d - 2. Let f be o(-2). Let g be (-6)\/(-10) - (-310667)\/(-420). Let r = g + f. Calculate the common denominator of r and -23\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*n + 872 - 1777 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011000 + -101?\nAnswer: -1001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4014641763 to the nearest integer?\nAnswer: 63361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -20974?\nAnswer: 2097.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m - 2. Suppose -2*o + 119995 = f, f = o - m*o + 59995. Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/23 in -1, -3.8, -2\/15, -45, -5, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21238*h**2*v - h*v - 72*v - 1 with respect to h.\nAnswer: 42476*h*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198950 - 137076600\/689. Calculate the common denominator of -21\/104 and z.\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1081, 1100, 1119?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9611 - 3819*d - 9611.\nAnswer: -3819*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out 443.2456391 - 0.2.\nAnswer: 443.0456391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -916 + 6962*n + 916 to o + l*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 180810605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 47*t + 20. Calculate d(47).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42597590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-81)\/2)\/(129\/(-172)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.012 - 0.0120111. What is w rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -5. List the prime factors of (91 - (0 - -3)) + d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -4*v + 4, 25 = 4*u + v for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 596536.9 litres?\nAnswer: 596536900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82109 - -137286. Suppose -91954 = -5*s - n, 0 = 3*s - 8*n + 4*n - u. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4 - 9718*x**3\/3 + 4276*x**2 + 401752*x\/3 - 259040 = 0.\nAnswer: -20\/3, 2, 6, 3238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(30) + sqrt(2430)*1)*1)\/(-1*1*(sqrt(294) + (sqrt(294)*-1 - sqrt(294)))).\nAnswer: 10*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4*(81\/(-21) - -4). Let m = -0.2 - -0.15. Let l = -0.25 + m. Which is the closest to f? (a) l (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Suppose l*z = 15, 0*j - z - 82 = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 29. Suppose 5 + 55 = 3*m. What is the lowest common multiple of ((-35)\/28)\/(u\/(-12)) and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36*(-76)\/(-912))\/(1\/41*-3)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*62411\nAnswer: -124822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0 + 3 - 4*t**2 + 5*t - t**3 + 0. Let s be j(-5). Suppose s*z - 124 = z. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21708572 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -11\/5 (b) 0.4 (c) -0.3 (d) -1\/15 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1805 and 2587895?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 19159. Let h(s) = -3*s. What is p(h(g))?\nAnswer: -27*g**2 + 19159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**3 - 5*p**2 - 3*p - 17. Let k(n) = -3*n**3 - 2*n**2 - n - 6. Let m(c) = -11*k(c) + 4*q(c). What is the remainder when 47 is divided by m(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let y be 4\/20 - (-110)\/(-1050). Let h = y - 31\/105. Which is the closest to h? (a) m (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -797 minus 138.6?\nAnswer: -935.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v - 110. Let u = -27 - v. Let a be u + 1 + 2\/1. Put -4, 0, a in decreasing order.\nAnswer: 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-43 + -13)\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}