diff --git "a/data/dm_maths/full_data_1/2139_11255.jsonl" "b/data/dm_maths/full_data_1/2139_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2139_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y = -6 + 11. Factor v**3 - 4*v**3 - 4*v**4 + 2*v**y + 5*v**3.\nAnswer: 2*v**3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 2367*j**2 - 1183*j.\nAnswer: -j*(j + 1183)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 6. Let w(d) = -10*d**2 + d - 4*d**3 + v*d**3 + 12 + d**3. What is the units digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - 11?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-14))\/(-24)*-12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 6825?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5931, 23730, 53401, 94950, 148383, 213706, 290925?\n\"Answer: u**3 + 5930*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418302781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 5*y**2 - 4*y + 7. Let z be w(5). Let u = 30 + z. Let m = u - 14. Solve m*j - 2 = -17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*4\/24)\/((-480)\/(-54) + -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3060000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 2*k)*(4*k**3 - 3*k**3 - 3*k**3) + (2066*k - 2066*k - 59*k**3)*(4*k + 0*k - 3*k) - k**4 + 3*k**4 - 3*k**4.\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + w + 11. Let l be 0\/(7\/((-14)\/4)). Let r be s(l). What is the greatest common factor of 55 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2352*j + 143?\nAnswer: -2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**2*r + 450*l**2 + 13*r**4 wrt r.\nAnswer: l**2 + 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3051 rounded to 2 decimal places?\nAnswer: 10.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 121*a**2 + 3086*a - 370. Is i(87) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454227329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 877, 1754, 2633, 3514, 4397?\n\"Answer: j**2 + 874*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2)*2)**2*-2.\nAnswer: -72 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 59 + 113*y)*(-1 + 2 - 2 + (2 - 3 - 1)*(5 - 2 - 2)).\nAnswer: -339*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 + 21 = 0. Let x = -17 - l. Solve c = -2*c + x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 + 3*n**2 - 2*n + 7. Let t(y) = 9*y**3 + 4*y**2 - 3*y + 10. Let b(p) = -5*t(p) + 7*x(p). What is b(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 3573?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 894.09 * -5.\nAnswer: -4470.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -24. Let d = 43 + -26. Solve -v*w = -4*m + w + 20, -3*w - d = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2) - 2)*5. Let t be v\/(-6)*204\/85. Suppose 0 = -g - g + t. Is 3 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -24*n - 13. Is t(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (815\/(-1630))\/(25\/12)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57210, 57209, 57208?\n\"Answer: -i + 57211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54595, 54597, 54597, 54595?\nAnswer: 54591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 6*m = 5*f + 26, 0 = -3*m - 3 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.942 - 0.058. Suppose -2*q - 4 + 2 = 0. Let f = 0.044 + -0.144. Which is the closest to q? (a) f (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 10*m + 9. Let n be q(13). Suppose 7*w = 5*w + n. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2157)\/(-15099))\/(2\/(-98))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3. Let m(q) = 80*q**3. Calculate 55*b(n) + 2*m(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 - y + 5. Let w be f(0). Suppose -1922 = -5*h - 15*v - 1872, -4*v + 20 = 3*h. Solve a = -h*a - w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/8 + 843*i**2\/2 - 710649*i\/2 = 0 for i.\nAnswer: 0, 1686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(2*u**4 + u**4 - 5*u**4) + 5 - 5 - 3*u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0*y)**9)**(6\/5)\/((y*y**(-2\/7))**(3\/2)\/((y\/y**4)\/y**(-6))) assuming y is positive.\nAnswer: y**(1647\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -154, 77, 526, 1265?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) -0.1 (c) 3\/4 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0)**(-18)\/(v\/((v\/(v\/v**2))\/v*v)*v*v*v)**(-49))**2)**(-5\/6) assuming v is positive.\nAnswer: v**(-490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/126 and -187\/1092.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 9*u - 5. Let x = -9 - -1. Let f be v(x). What is the greatest common divisor of 9 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 294033022 or -1\/3?\nAnswer: 294033022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55108075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 3. Let z be q(0). Let t = 7 + -5. Let h = 4 - t. Solve 6*d - 3*o = h*d - 3, 15 = z*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295980807 >= 295980807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78736751 is divided by 78736741?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrz when three letters picked without replacement from {x: 4, w: 1, q: 4, y: 1, z: 1, r: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = -4*n. Suppose -5*x - 2*i = -4 - 36, -5*x - 5*i + 40 = n. Calculate the remainder when 38 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10670 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2085 - 2046. Suppose 3*g - 3*o + 0*o - 57 = 0, o - 125 = -5*g. Suppose 0 = -2*y + 5*y - g. Calculate the remainder when u is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 5. Let x(z) = -7*z + 3*z + 9 + 0*z. Let g(d) = 7*w(d) + 4*x(d). Suppose -5*i + 3*i + 6 = 0. Give g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 6, x: 4, a: 2}. Give prob of picking 1 z and 2 x.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 760076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - -1) + -2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491346*d**3 + 2*d + 458806 wrt d?\nAnswer: 2948076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15608541, -31217070, -46825599, -62434128, -78042657, -93651186?\n\"Answer: -15608529*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -75\/8 (b) 22\/9 (c) -4 (d) -1\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 69. Let q = f + -25. Let o be 4\/q + 1060004\/(-10). Round o to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -400316148446.82?\nAnswer: 400316148447.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3034.65446 to zero decimal places.\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 6496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144297.\nAnswer: 3, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 27*h + 82. Is r(-28) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourteeen ninths of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -r - 95. Suppose 4*z + 4*z - 1040 = 0. What is the highest common factor of z and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (38 + -40)\/(1\/(-14)). Solve 4*m - 3*v = -17, -4*m + 5 = -5*v + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13704885, -13704884, -13704883, -13704882, -13704881, -13704880?\n\"Answer: b - 13704886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 0*z**2 + 18*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20002 + 12202121120?\nAnswer: 12202211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 61 - 50)*(-28 + 4 + 0)*(-3 + 3 - k).\nAnswer: -1536*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 3*v - 4*v, 0 = 3*d - 2*v - 24 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(243) - (-5 + sqrt(243)*2))**2.\nAnswer: 180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlq when three letters picked without replacement from {l: 1, q: 9, v: 2, t: 7}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2462 is divided by 92.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/3*705*800. Round r to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 6. Let o be z(-2). Solve -2*r + 6 - 4 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:52 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 61916533?\nAnswer: -18574959.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 868*n**5 - 2*n**3 - 2615*n**2 wrt n?\nAnswer: 52080*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -84*u - 8. Let m be o(-5). Suppose 1370 = 2*p - 4*v, -v + 1767 = 2*p + m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 18. Let w be 1 + (s - (-1 - -3)). Suppose 20 = 4*n, -7*n + 60 = w*a - 2*n. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8363*j - 15 = 8368*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + -115 + 200 - (60 + -1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, 18.\nAnswer: -5, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18 and 163\/15678.\nAnswer: 15678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 - 6*g**2 + 15*g + 20. Let h(v) = -7*v**3 - 11*v**2 + 29*v + 41. Let r(o) = -2*h(o) + 5*k(o). Is 16 a factor of r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 53*h - 2*h**2 + 2*h**4 + 28*h + 24*h - 6*h**3 + 0*h**2 to the form a*h**4 + f*h + u + m*h**2 + v*h**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1.5 (c) -51 (d) -1\/69 (e) -1 (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 136*p = -11*p + 2299 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.247 - -17.04. Let l = -1.427 + o. Round l to 2 dps.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 946 + -950. What is the second smallest value in s, -2\/7, 75?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/2)\/((-12)\/8 - -1). Let u(z) = z**3 + 10*z**2 + 7*z - 3. Let a be u(t). Suppose -10*m + a*m - 295 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 4*v - 360. Suppose -u = u - v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2, -5\/8, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*r + 9*r - 195 = -43. Sort 55, 4, -5, r.\nAnswer: -5, r, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + ((sqrt(153) - sqrt(153)*2)*-3)**2 + (sqrt(153) + sqrt(153) + -1 + 1)**2.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 1499 + -1498.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 491940255 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:35 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -38*x + 10. Let w(r) = 7*r - 2. Let l(t) = -2*u(t) - 11*w(t). Let z(h) = -2*h + 2. Determine 6*l(m) - 5*z(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*b**3 + 20988\/5 + 4200*b + 5259\/5*b**2.\nAnswer: 3*(b + 2)**2*(b + 1749)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 1927728*o + 619355873664.\nAnswer: 3*(o - 642576)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6193159)\/(-126) - (-67)\/(-1206)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487355.2 weeks in hours?\nAnswer: 81875673.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h - 52. Let l = h - 11. Suppose 2*o - 3*j + l - 15 = 0, 4*o = -2*j + 18. Solve 19 = 3*v - 2*a, -o*v + a - 5*a = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, h: 2}. What is prob of sequence hh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/3 (b) 21\/2684 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2 - 3 - 5*h**2 + h + 2*h**3 - 3*h + 1 to the form l*h**2 + r*h**3 + n + t*h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyoyyyyyyoyyyyo. What is prob of sequence oo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + -45366?\nAnswer: -45452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2673, -10676, -24005, -42660, -66641?\nAnswer: -95948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n + 4. Let f(t) = -t**2 + 14*t - 3. Let k be f(17). Let r = k - -61. Let v(d) = 2*d + 11*d + r + 0*d + 2*d. Give 11*c(m) - 6*v(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 11686725?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*x - 178 - 622 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 l, and 1 u when four letters picked without replacement from liluiuuidddllldkdi?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(455\/28))\/(164\/(-10)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/4 - 144\/(31 - 49)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + n - 1. Let b(l) = -l**2 - l + 1. Let s(m) = m**2 + m - 3. Suppose 4*i = 0, 6*r = 4*r + 5*i - 4. Let v be s(r). Calculate v*x(j) - b(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4048 - -4046. What is the smallest value in 2\/7, 3\/5, g, -0.5, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*d + 32, -3*d - 30 = -r + 2*d. What is the units digit of (14\/(-4))\/((-5)\/r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 25*j - 3. Is w(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*v - 16*v + 63*v)*(-1 + 2 - v - 2)*(3*v + 2*v - 3*v).\nAnswer: -308*v**3 - 308*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/16)\/(2*(-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3388, -3, -24.\nAnswer: -24, -3, 3388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7416 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10413948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3\/31 (c) 5 (d) 10.5 (e) 20 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 1765*n**2\/4 - 1327*n\/4 - 221\/2.\nAnswer: (n - 1)*(n + 442)*(4*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + 3 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + (-570)\/(-18). Suppose -4*a + b = -0*a. Calculate the remainder when 26 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 1 + 0*r + 1\/2*r**2. Let x(o) = 9*o**2 + 5. Let c(n) = -5*n**2 - 3. Let m(h) = -5*c(h) - 3*x(h). What is m(w(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10026721.68 - 2.6.\nAnswer: -10026724.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q + 941 - 573 + 707*q**2 + 999 + 1112 - 122 with respect to q.\nAnswer: 1414*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + 8.5. Let y = -30 + 29.65. Let s = y - -0.25. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from jthjhtvmnvvv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**16)\/d)**(-13\/5))**(-21) assuming d is positive.\nAnswer: d**(-4368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.60006746676 + 1.8042387313. Let w = h - 104.20417183454. Let z = w - -104. What is z rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + o + 0*o - 2*o + 1 - 316*o**2 + 323*o**2 + 2*o**3 to the form c*o**3 + j*o**4 + h*o**2 + q*o + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 53, 4\/9, -0.3 in ascending order.\nAnswer: -2\/5, -0.3, 4\/9, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i - 59 - 33 = 64 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 521 - 99. Suppose 0 = -5*d - 2*z + 30 + a, 267 = 3*d - 3*z. What is the highest common divisor of 36 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/20 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18)*1\/(-3)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1933881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l**5 + 12*l**5 + 12*l**5)*(2 - 3 + 0)*(0 + 3 - 1).\nAnswer: -74*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-1\/4))\/v))**(-34)\/((v*v**(-8)\/v*v)\/(v*v**(-3\/4))))**(-1\/3) assuming v is positive.\nAnswer: v**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 2. Let m be v(-6). Let h = m + 0. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.678465*-0.4.\nAnswer: -1.071386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 10*y**3\/3 - 3*y**2\/2 + 8*y + 486. Let b(o) = 9*o**2 - 3*o + 7. Suppose -4*v - 29 + 5 = 0. What is v*p(s) + 7*b(s)?\nAnswer: 3*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3282 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 499030577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1359*a + 1353*a = -143946. List the prime factors of a.\nAnswer: 3, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybsybksbybkyyyk. What is prob of picking 2 y and 1 b?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11122022222011 (base 3) to base 9.\nAnswer: -4568864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558762 is divided by 520.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.1 - -10.1. What is the closest to 9 in -1, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -70, 0, -1, 2 in descending order.\nAnswer: 11, 2, 0, -1, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w)*(3*w + 4*w - 5*w) + 0 + 0 - w**2 + 1291*w**2 - 9 + 9 + 940*w**2.\nAnswer: 2226*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 262*m + 2. Let z(k) = 523*k + 3. Let h(t) = -7*c(t) + 4*z(t). Let a be h(-1). What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 2662.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0, -3, -26184, -0.2 in decreasing order.\nAnswer: 3\/7, 0, -0.2, -3, -26184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {o: 1, d: 1, s: 1, f: 1, z: 2, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -1\/2*m**2 - 1 - 6*m - 1\/3*m**3. Determine a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.8 (b) -0.2 (c) 43\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0 + 40\/11*i + 93\/11*i**3 + 138\/11*i**2 - 5\/11*i**4 = 0.\nAnswer: -1, -2\/5, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 60 - 5*q**2 + 30 - q as c + k*q + v*q**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -827*v + v**4 + v**2 + 0*v**2 - 27*v**3 - 23*v**3 + 70*v**3 - 17*v**3 as h + l*v**4 + d*v**2 + j*v**3 + t*v and give t.\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - s = -6, -u - 2*s + s + 1 = 0. Solve 7*t = u*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1346793 by -448931.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfmmmfamammmam. What is prob of picking 1 f and 1 m?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2444293 and 14665758?\nAnswer: 14665758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*1\/(42\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366211, -366215, -366225, -366241, -366263, -366291?\nAnswer: -366325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -309*i - 1858. What is h(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -4 - (sqrt(13) - sqrt(52)\/(sqrt(4)*2)))*-3)**2.\nAnswer: -324*sqrt(13) + 10053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**6\/120 - l**5\/20 - l**4\/4 + l**3\/3 + 79*l**2. Is f(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13196 - -197866\/15. What is the common denominator of q and 35\/801?\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.7, 4586, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-32 + 46)) + -2 + -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -259 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.07 and 6.352.\nAnswer: 25.85264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61131*o**3 + 61215*o**3 + 124 - 122348*o**3.\nAnswer: -2*o**3 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhwwwt. Give prob of sequence hww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 137163 = -18*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 2, j: 9}. Give prob of sequence kk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29493080*h**3 - 12476769.\nAnswer: 88479240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 - 78.2. Let u = b + -54.8773. What is u rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13427591.269 rounded to the nearest one hundred thousand?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 8 - 8. Suppose 4*y = -8, 6 = 4*s + 3*y - 144. Let x = s + -35. Put x, 3, j in increasing order.\nAnswer: j, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 6*o + 1. Let p be l(4). Let f(v) = v**2 + 8*v + 8. Let n be f(p). Suppose -5*m + 9 = -1. Solve 10 = -d + 5*b, -4*d + n = m*b - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 280, 357, 274, -23, -588, -1475?\n\"Answer: -9*t**3 + t**2 + 243*t - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -39. Suppose 0 = -2*f - 3*j + r, -2*f - 3 + 24 = -j. What is the smallest common multiple of 11 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*o - 436, 11*x + 682 = 8*x + 4*o. Let v = x + 251. Calculate the remainder when 55 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**7\/2520 + b**6\/720 - b**5\/12 - 25*b**2. Let i(t) be the third derivative of w(t). What is i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/6*(-12)\/(-24). What is the closest to 0.1 in -4, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/1 - 4\/(-2). Suppose 15*r - a*r - 63 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 0*t**3 - 3*t**3 + (-6 - 5*t**2 + 6)*(-124 - 26*t + 233 - 138) in the form q*t + a + u*t**3 + d*t**2 and give u.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:42 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 m when four letters picked without replacement from {c: 1, m: 2, v: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 411 + -441. Let c = d + 30.5. What is the closest to 1 in -2\/7, -0.2, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4780523 by 1.\nAnswer: -4780523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -s - 5*v - 4, 4 = -3*s - 4*v. Suppose 4*w + 4463 - 6303 = s. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243855 and 7173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(29268\/3249 + -9). What is the highest common factor of 57 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6807 and -115\/12?\nAnswer: 27228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063934985.\nAnswer: 5, 7, 58969571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/7 (c) 13\/29 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = -12, k - 9 = 5*p. Let y = p + 4. Let o be y*34 + -4 + 2. What is o rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 5*p**3 + 3*p**3)*(-351885 + 351885 - 2*p**2 - 1046*p).\nAnswer: -2*p**5 - 1046*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 244*n**2 - 102*n**2 - 146*n**2 + 283*n in the form l*n + a + g*n**2 and give l.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1677 and 2145.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1710 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11932 - 12356 = 0. Solve 104*t - z*t = 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3020746330, 3020746329, 3020746328, 3020746327, 3020746326?\nAnswer: 3020746325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -2\/2123?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 6*f - 1. Let b(l) = l**3 - l. Let w = 625 - 615. What is w*b(p) - 2*n(p)?\nAnswer: 6*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3778\/1165 - 10\/233. Let m = 17 + -14. Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -930, 6942 in descending order.\nAnswer: 6942, -4\/3, -930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14e1d (base 15) to base 11\nAnswer: -46625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + 3*v + 18 = 0, -v = -3*u + 14. Let k = -75 - -91. Calculate the smallest common multiple of k and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273818141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19703313 divided by 6.\nAnswer: -6567771\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1446 + 1444. Let h(z) = -z**3 + z. What is h(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 + -30 - (-1 - -7) - 15) + -269 + 273?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(8\/7))\/o*o*o\/o**(-21\/4))**(-15))**(-13) assuming o is positive.\nAnswer: o**(33345\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018825 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**2 + 56*q + 15. What is the remainder when 59 is divided by p(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 92, 142, 196, 254?\n\"Answer: 2*w**2 + 40*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from {b: 6, r: 7, s: 6}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q. Let i(p) = 48*p. What is i(o(z))?\nAnswer: -432*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -57, -3, 776, 0 in decreasing order.\nAnswer: 776, 0, -3, -4, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10255 - 10257. Let z be 2 + -2*1\/(-2). Put z, h, 0.042 in increasing order.\nAnswer: h, 0.042, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/26 and 33\/4412014.\nAnswer: 57356182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 - 10)*1\/1. Suppose 3*u - 3 = o*p - 17, 4*u - 2*p = 0. What is the first derivative of u*c - 9*c + 5 + 4 wrt c?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321 - -316. Let s be 0*(l + 8*(-2)\/(-4)). Put s, -2, -8, -1 in decreasing order.\nAnswer: s, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(279\/(-1023)*(-16)\/48).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dssddssdsdsssdsdssdd. What is prob of sequence ss?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337595.7 + -337825.69688. Let k = 230 + m. Round k to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -211101?\nAnswer: 211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83633, -334672, -753127, -1338992, -2092261, -3012928?\n\"Answer: z**3 - 83714*z**2 + 96*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3109\/27981 + (-2204119)\/9 + 1. Round l to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83002540 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*10\/4*24\/70.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = -5*t, -3*t - 4*z + 12 = -8*z. Solve 0 = s - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50309?\nAnswer: 7, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.179083 + -0.026147. What is n rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(702\/(-27))\/(1*2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from ajymn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 8. Let i(n) = -7*n - 1. Let d be i(-1). What is the third derivative of p**2 - z + 4 - p**d wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 11*z + 19. Let a be d(-9). What is the greatest common divisor of 5 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.71 - 0.2?\nAnswer: -5.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*c = 311*c + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 170 = -0*x. Let h = -10 - x. Let a = 37 - h. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 9. What is the remainder when 130 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30438\/1083 + -28 - (-642)\/38.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:19 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - a5b2?\nAnswer: -a5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = 7*i. Let f(h) = 4*h + 1. Calculate f(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 706270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Suppose i + 0*y = -y + 5, 0 = -5*i + 4*y + 7. Is i greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243798438 a multiple of 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2626 != 20573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let y = 23.76 - 26.76. What is the third smallest value in 3, 43, c, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -1, -0.4, -5, -43932?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204602764 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*u - 5*o, -5*u + 4*o + o - 105 = 0. Let b = -17 - u. Solve 5*l = 4*h + 25, -b*l - h = -1 - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2 - 4*q + 3. Calculate j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u - 83 = 51*u - v, 4*u - v = 181. Solve -u = -95*w + 84*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - k + 1, -2*k - 4 = -3*k. Suppose -5*i = 3*z - 557, 97 = -h*z + i + 630. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 5. Let v(h) = -5*h + 5*h + 0*h - 3*h - 7. Let i be v(w). Solve -i = -0*b + 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103709\/18 - -5769. What is the common denominator of m and ((-165)\/54)\/(2\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 46417?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4617)*2)\/(-2*(sqrt(66)\/sqrt(2))\/sqrt(11)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, -453, -2\/13, -2, -0.01 in decreasing order.\nAnswer: -0.01, -2\/13, -0.34, -2, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/2)*h*h*h)**(3\/5)*(h\/h**(-1))**(-14)*((h\/(h**(-1\/3)\/h))\/(h**(-2)*h))**(-15\/8) assuming h is positive.\nAnswer: h**(-631\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61769*z**3 + z - 25967?\nAnswer: -370614*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -25, 2\/9, 4\/11, 5, -1, -5, -101\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23036897, 46073783, 69110669, 92147555?\nAnswer: 115184441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -m - o - 134 + 108, 248 = 2*m + 4*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3208644577 rounded to three decimal places?\nAnswer: -0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 170 and -4.6797.\nAnswer: 165.3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24110 divided by 18.\nAnswer: -12055\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a - 310 = -22*a + 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.95, 95\/14, 3 in decreasing order.\nAnswer: 95\/14, 3, -1.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 10 + 2. Suppose 4125 = 40*v - 29*v. Suppose -3 = 378*i - v*i. Sort i, -9, w, 3 in descending order.\nAnswer: 3, w, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 11*u**2 + 12*u - 65. Let a be f(6). Suppose -10 + 2 = 4*r. Let l be -110*(r - (-16)\/10). Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 15 = 2*i, -3*i + 2*o = -o - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = 0, 3*d + 4*j - 20 = -d. Suppose -d = -5*u + 4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f1 + -3b?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-28))\/((-7)\/((-49)\/(-2))). Suppose -o + w = -14. Is (-2409)\/(-12) - (44\/o + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*j = -91 - 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/99 + 370\/(-22))*-40. What is the greatest common divisor of 102 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y - 45*y**2 + 40*y**2 - 17*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26 + 2*w**2 - 30 - 6*w**3 - 7 + 7 wrt w.\nAnswer: -18*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/17, -2, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 10*y**2 - 10*y + 1. Let p be o(-9). Let h = p + 7. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 7. Let v be k(-7). Suppose -24*m = -28*m + 48. Suppose 6*g - 10*g = -m. Solve 0 = -g*r - v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.1 - -51.71. Let a = -68 - -67.39. Let c = z + a. What is the second smallest value in c, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = f - 4*f - 3*a, 0 = -2*f - 5*a + 54. What is the lowest common multiple of f and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 513020 and 810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -51\/49, -0.2 in decreasing order.\nAnswer: 5, 4, 0, -0.2, -51\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 6*h - 2 + 0 = h, -63*x - 5*h = 4*x - 57 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*i**2 + 265 wrt i?\nAnswer: 188*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*s**2 + 10 - 49*s**2 + 15*s - 46*s**2 - 47*s**2 - 45*s**2.\nAnswer: 5*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -27, 0.4, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2 - 8*r - 8. What is the least common multiple of 360 and i(5)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*q - 26973 = 590*q - 83*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from oddoodoooddooooood.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2 + 2*n + 9)*(18 + 6 - 3)*(2 - 5 + 1).\nAnswer: -84*n - 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:58 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j - 85*j + 15 = -l, 2*l - 10*j = 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.3647 rounded to 1 dp?\nAnswer: 80.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 times -0.06?\nAnswer: 0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 3*g**2 + 83 - 78 + g**3 + 5*g**2. Is 10 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4 - 16434*r**3 - 669948*r**2 - 6506766*r + 7193151 = 0.\nAnswer: -5437, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 7. What is c(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/61, 0.1, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/360590 and 44\/11235.\nAnswer: 7572390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57352 is divided by 5735.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6640228, 13280457, 19920686, 26560915, 33201144, 39841373?\nAnswer: 46481602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -113 - (5 + -17 - -30 - -3)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -4*o. Let g = o + 1. Suppose 5*t - 63 + 18 = 5*n, -2*t = -g*n - 14. Calculate the greatest common factor of t and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -41, -79, -127, -185?\n\"Answer: -5*v**2 - 13*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*i - 10*i - 44*i + 4352. Solve 97 = 13*l + i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(4 - 3) - 3. Find the common denominator of 93\/8 and (1\/16)\/(f\/474).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 = 406\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1113 or -145.94?\nAnswer: -145.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -21. Let k = m + 20. Let f be (7 - (-240)\/(-36))\/(2\/24). Which is the closest to k? (a) f (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6175 is divided by 363.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3913*o**2*r**3 - 26498*o**2 + o*r**2 wrt r.\nAnswer: -11739*o**2*r**2 + 2*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 136*y\/7 + 2112\/7.\nAnswer: 2*(y + 24)*(y + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 867*x\/2 - 2583.\nAnswer: -(x - 861)*(x - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 2*y = 17*j - 68, -3*j - 5*y - 25 = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 4 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 223340 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260) - sqrt(260)*-4 - sqrt(260))*-4)\/(sqrt(245) - (sqrt(245) + -4*sqrt(245))).\nAnswer: -8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 438, 1159, 1890, 2637, 3406, 4203, 5034, 5905?\n\"Answer: m**3 - m**2 + 717*m - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 - 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169, -344, -519, -694, -869?\n\"Answer: -175*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -l - 4*f - 4, -5*l = -5*f - 35 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048 - 197 + 0*m**2 - 206 - 2*m**2 - 645.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 + 3*a - 6. Let d be x(6). Let f = d + -10. Let w(v) be the first derivative of -v**3\/3 + 2*v**2 - v - 1. Calculate w(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/12 - 5*s**3\/6 - 5*s**2\/2 - 4*s. Suppose 4*q - 22 = 2. Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 + v - 1. Let i be u(10). Suppose 3*z = 4*z - i. What is the remainder when 26 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3 - 2. Let p be 3 - (2\/1 + -1). Let f be (-2)\/3 + 56\/12. Sort f, p, d.\nAnswer: d, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 24 = -4*o. Let b = -3 + o. Let g(w) = -111*w + 8. Is g(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43400 = -244*u - 1156*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 45*u + 831. Let v be h(-18). Solve 0 = -5*r + v - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/5400 - (2002\/(-440))\/91?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223066*c - 223062*c + 12 = 5*q, 3*c - q = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 15 = o - 5*o + 33 - 45, 1287 = -3*b - 214*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3388587673 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/9)\/j*(j\/j**(-1\/4))\/j*j*(j\/((j\/(j*j\/j**(3\/7))*j)\/j))\/j*j**(-1\/11)\/j assuming j is positive.\nAnswer: j**(2641\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270 + 269. Let q = 0.876 + -4.876. What is the nearest to 1 in -7, z, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.048 + 0.038. What is the nearest to -1\/4 in 4, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4072 + 25721?\nAnswer: 21649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1075 and 20975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -6. Let o(x) = -x**a - 25*x + 0*x**2 + 25*x. Let k(y) = -7*y + 3. Let p(m) = -20*m + 8. Let d(v) = -8*k(v) + 3*p(v). What is d(o(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1506 and 101\/1004.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 1571055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*b. Let i = 1244 - 1240. Solve 2*r - b*r + i = -4*g, 8 = -4*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5317029 and 10634058.\nAnswer: 10634058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*d - 33, k = 5*d - 2*k + 39. Let i = 8 + d. Suppose -4*u - 6 = 2*j - 18, -i*j = -5*u - 21. Calculate the remainder when 22 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (13 + -5 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 171 = 3*a, 5*o + a + 121 = 390. Solve -4*d - o = 5*y - 12, 0 = 2*d + y + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*f = -3 + 1, -5*f = y + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 7)\/(1\/(-491)). Let q = n + 495. Solve -d = -q*f + 1, -3*f + 2*d = -3 - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111101000 (base 2) in base 13?\nAnswer: 8c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s = -3*v + 39*s - 27, 4*v + 4 = -4*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.010883 centimeters?\nAnswer: 108830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**6\/40 - m**5\/20 - 6*m**2. Find the third derivative of v(i) wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33355.12 litres in millilitres?\nAnswer: 33355120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 15*i - 38. Let v be m(7). Suppose -14*t + v = -5*t. Solve t*a - 5 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85341*d**2*i**2 + 317*d*i**2 - d*i + 5*d - 3*i wrt d.\nAnswer: 170682*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, -f + 2 = -3*b - 0. Which is smaller: b or -1\/18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/3 - 4646*p**2\/3 + 1549742*p\/3 + 518130 = 0. Calculate p.\nAnswer: -1, 405, 1919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9471057 rounded to 2 dps?\nAnswer: 46.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 0, 40*s - 43*s = -5*g - 349. 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 = 5*r + 11 + 19. Let m be (-3 - (-168 - 1)) + r. What is the highest common divisor of 400 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 3*p**2 - 2*p - 1. Let d(m) = -m - 4. Let i be d(-8). Calculate the smallest common multiple of g(i) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 16350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3)*(-15)\/(-45). Factor -1\/2*h**5 - 1\/2*h**4 + 0 + 0*h**2 + s*h**3 + 0*h.\nAnswer: -h**4*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277037.6 rounded to the nearest 10000?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**5\/13 - 274*r**4\/13 - 46*r**3\/13.\nAnswer: 2*r**3*(r - 23)*(6*r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let q = 4 + u. Solve 4*y - x + 16 = 0, -2*y - q*y + 5*x = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p + 4*p + 0*p - 5*p - 6*p**2 as m*p**2 + q*p + d and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 86.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 15*r**2 + 36*r + 13. Calculate the remainder when 74 is divided by c(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-25)\/(j*(j*j**6)\/j*j\/j**(-2\/7)) assuming j is positive.\nAnswer: j**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (13 - -10) - -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1000 and -99\/2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 13. Let o = -1.38332 + 0.68332. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 + -168. Which is the closest to p? (a) 2 (b) -1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 43 - 141. Calculate the remainder when n is divided by (8\/3)\/(4\/24).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -5, 96080 in decreasing order.\nAnswer: 96080, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344\/1462*3\/(-6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = l + 4*l - y, -28 = 5*l + 4*y. Let w be (-1*2)\/((-1 - -5) + 3). Which is the third biggest value? (a) 2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 3135?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:01 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -48852*v. Let i(c) = 2*c - 40. Calculate y(i(t)).\nAnswer: -97704*t + 1954080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-35) - 74\/(-80)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**6\/45 - m**5\/15 + 2*m**3\/9 - m**2\/3 + m. Factor k(n).\nAnswer: 2*(n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 4*p + 2*p + 2 - 2*p.\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94.9 - 172.5. Let m = 85 + l. Let o = 3.4 - m. What is the second biggest value in 3, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -12\/7, -2\/5, 3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855.33 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x - 3*x)*(-2*x - 3*x + 10*x)*(-4*x**2 + x**2 + x**2 + (4*x - x - 4*x)*(2*x - 4*x + 3*x) + 11*x**2 + 3 - 3)*(-3 + 0 + 0).\nAnswer: 840*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 28. Let w(z) = z**3 + 4*z**2 - z - 3. Calculate w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 756\/10 + (-1 - 56\/(-40)). Suppose r - 90 = -7*s. Calculate the least common multiple of 112 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4771972582 rounded to the nearest 1000000?\nAnswer: 4772000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = 5*z, 2*g - 24 = -7*z + 4*z. Let i be (-1)\/3*0\/g. Suppose 0*w - w = 2*y - 98, i = -4*y - 3*w + 192. Is 41 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 30, 4, -7 in descending order.\nAnswer: 30, 5, 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 80?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 20*i**2 - 8*i - 11. Let d be s(21). Suppose -2*x + d = 22. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10227126 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 10*t**2 + 2*t + 7. Let d be p(-7). Let g(n) = -2*n**2 - 25*n - 15. Let u be g(-10). Calculate the highest common divisor of u and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*b - 442*b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*x = 8, 132*x - 133*x - 16 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/119, -1\/2, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 8*h**2 - 59*h - 141. Calculate u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2161960*b**4 + 341*b**2 + 2*b + 1288?\nAnswer: 51887040*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 4. Let z(a) = -1. Let m(i) = 2*i**2 - 50*i + 42. Let r be m(24). Determine r*z(n) - o(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1629*p + 928*p + 38555 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from {b: 2, u: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -v - 7*v + 5*d + 12, -13*d = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364 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: Is 58189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2631522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5.8. Let i = -6 + 0. Let m = -7 - i. What is the third smallest value in a, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19734972 by -186.\nAnswer: 106102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 252 = -43*b. What is the highest common divisor of 1068 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106599*g**3 - 49*g + 165.\nAnswer: -639594*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 8*o + 22. Let a be n(13). Suppose -2*j + 83 = a. Let k = 1 - j. Solve -3*c = s - k, 5*c + 8 = 4*s - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24740, 3, -20, 0.3 in decreasing order.\nAnswer: 3, 0.3, -20, -24740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/110)\/((21\/9)\/(15*(-8)\/72))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 146560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaaaaazzaaaaaaa. What is prob of sequence zzza?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85287 by -3.\nAnswer: 28429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*s + 6. Suppose 0 = -3*b - 0*b - s. List the prime factors of ((-5)\/(-2))\/(b\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14456, -14366, -14196, -13928, -13544, -13026?\nAnswer: -12356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064934 to 6 decimal places.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*p**5 + 2\/3*p + 5\/3*p**4 + 3*p**3 + 0 + 7\/3*p**2 = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/15 - 2\/3. Which is the nearest to 10? (a) -5 (b) 3\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v**2 + 2*v - 1)*(-2*v - 4*v - 99 + 101).\nAnswer: 6*v**3 - 2*v**2 + 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1570237 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -10. Let q = d + 0. Suppose o = -2, 4*o + 5 + q = i. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-50 - 25 + 11)*(0*d + 0*d + 2*d) - 2*d - d + 0*d)*(-d**2 - d**2 - d**2).\nAnswer: 393*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 50*k - 389. Let h be l(-57). Let p be (-4)\/((-16)\/(-9) - 2). Suppose 18 = x - 4*i, 2*x + 0*x + i - p = 0. Is h bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2234*u - 23*u**2 - 2234*u + u**4)*(-11 - 151 + 31) as o*u + l*u**2 + m*u**3 + y + p*u**4 and give p.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((1 - 3) + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/4 - 3*v**4\/4 - 7*v**3 = 0. What is v?\nAnswer: -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/2 + 4\/(-8). Suppose 15 = 3*g, -4*r - 5*g + 65 = r. Let m(p) = -p**2 + 9 + r + w - p - 9. Determine m(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1056 and 85\/6776.\nAnswer: 81312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**10*f**(2\/13))**42 assuming f is positive.\nAnswer: f**(6090\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -949*h - 35152. Determine g(-37).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 21. What is g(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {c: 4, b: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-30) + ((-1092)\/(-55) - 21)?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.513225 centuries to decades.\nAnswer: 65.13225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + 0*f)*(-2 + 4*f**3 + 2) + (-2*f - f + f)*(-2*f**3 + 2*f**2 - 2*f**2).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 19 = 39 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 + 0.29. What is the nearest to m in 2\/5, -8\/3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/57 + (-3)\/(9\/(-2)). Let r be 11 + (0 - 0\/1). Suppose -t + 3 = 0, -n + 0*t = w*t - r. Solve -n*z + 3*g - 11 = 7*g, -z = -2*g - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 301*n + 301*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -42852.48?\nAnswer: -12855.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, 4, -211, -606, -1241, -2176, -3471, -5186?\n\"Answer: -10*m**3 - 25*m + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -12. Let u be -12*(s - -1 - 0). What is the greatest common divisor of 108 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-148)\/8)\/(2\/(-4)). Let z be (-5)\/(-20)*-2 - (-71)\/(-2). Let k = z + o. Solve g = 3 + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 51*r - 49*r - 2*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4168090 - -0.15699?\nAnswer: -4168089.84301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) - 363\/22. Let x = g + 18. Let o(t) = 3*t + t + t - x*t. Let m(c) = -c. Determine o(m(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 518 and 370.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6 + 3*u - 2*u - 2*u. Let k be r(-10). What is the second derivative of -11*i**2 + i**k + 2*i + 11*i**2 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 30 = 0. Let s(k) = 5*k - 5. Let v(d) = 10*d - 11. What is a*v(t) - 13*s(t)?\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s**(2\/21)*s*s))*s*(s*s*s**13\/s)\/s*(s**6)**(-50) assuming s is positive.\nAnswer: s**(-5962\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -719 - -2911\/4. Let c = w - 10. What is the common denominator of -55\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**3 - 14*b**2 - 10*b - 2. Let h(k) = 11*k**3 + 14*k**2 + 10*k + 2. Let p(a) = 5*g(a) + 4*h(a). Factor p(r).\nAnswer: -2*(r + 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3 - 7\/4*b**4 + 0*b**2 - 4 + 0*b. What is the third derivative of j(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcisb. What is prob of picking 1 c and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 + 33815*x + 168950 = 0.\nAnswer: -6758, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 5. Let t be x(-1). Suppose -2*o + 111 = 5*v, v + t*o + 0*o - 33 = 0. What is the smallest common multiple of v and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8989*377\nAnswer: -3388853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -645952 (base 11) in base 13?\nAnswer: -2a2063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 89\/5, 1, 1\/4, -7?\nAnswer: 89\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p - 5. Let b = 27 + -24. Let x be o(b). Suppose 3*g + x = 121. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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 o(x) = 22*x**2 - 5. Let v(f) = 332*f + 960. What is v(o(u))?\nAnswer: 7304*u**2 - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 1, z: 1, o: 2, y: 1}. What is prob of picking 1 s, 1 z, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed (base 15) to base 8.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8095, -8104, -8145, -8242, -8419?\n\"Answer: -4*s**3 + 8*s**2 - 5*s - 8094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 288\/7 (b) 4\/3 (c) -1\/20 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhbbjrrhhhjybjhhkh. Give prob of picking 1 h, 1 j, and 1 b.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546 = 5*g - 1339. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/1065? (a) -6 (b) 2 (c) -3 (d) 0.5 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 - 6. Let l = 23.6 + -23.585. Let g = 0.985 + l. Which is the second biggest value? (a) n (b) g (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -475 - -94997\/200. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18173 = 152*h + 11103 - 66954. Solve -h = 11*g - 498 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -164.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146866, 293738, 440610?\nAnswer: 587482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + (-22)\/(-5). Suppose t - 23 = -5*b, z*t - 6*t - 2*b + 6 = 0. Let p be (-33)\/t - 1\/2. Calculate the highest common factor of p and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -0.339, 1, 0.5, -74 in increasing order.\nAnswer: -74, -3, -0.339, 0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2186, 9384, 28918, 66956, 129666, 223216, 353774, 527508?\nAnswer: 750586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1520 + 21215?\nAnswer: 23035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-15)*3\/(-2). Suppose 775 - 179 = y*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 6. Let z be m(-6). Find the third derivative of -4*v**6 - v**2 - z*v + 6*v wrt v.\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -24, 9, 2, 3 in ascending order.\nAnswer: -24, 2, 3, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*h + 2*g, 4*g = -3*h - 13 + 1. Let i be (324\/h)\/(-9)*2. Find the first derivative of 33*m**2 - 7*m - i + 22 + 7*m wrt m.\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50*-205305\nAnswer: 10265250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/5 + 374*r**4\/5 - 384*r**3 + 8*r**2 + 7648*r\/5 - 6144\/5 = 0.\nAnswer: -192, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/6 + (-2)\/6. Let i = 45 + -43. What is the third biggest value in i, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -15.7, 0.165, 1?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 15 in decreasing order.\nAnswer: 15, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5304273?\nAnswer: 3, 13, 277, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2*u + h - 62 + 47 + 5 = 0, 8*u + 4*h = -3*u + 49 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -3 (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - 8*i + 4. Let w(n) = -14*n**2 + 23*n - 11. Calculate -17*v(d) - 6*w(d).\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) + (-108)\/(-20). Suppose -q - 2*u = u + 4, -u = m*q - 36. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 2*y**2 - 15*y + 9. What is the hundreds digit of l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/7434 and 19\/13732?\nAnswer: 51041844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -97, -150?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -499*w**2 - 2*w - 530 wrt w.\nAnswer: -998*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 35 + 70. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -3)*1 - -174. Suppose 2*m = t - 56. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -7*v**3\/6 - v**2\/2 + 2*v. Let q be z(-1). Suppose x - q = 4. Calculate the smallest common multiple of 6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274234835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose -z*g + 11 = -1. Suppose 16 = -g*s - 4*d, s - 4*d + 3 = -6. Is -4 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -667080858 rounded to the nearest 1000000?\nAnswer: -667000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a second in milliseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from jddpuppppjpdjd?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3742358679 + 44.\nAnswer: -3742358635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-213 + 192)*(-6)\/14. Let x be (-3)\/2*-1*6. What is the highest common divisor of x and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose -l*u - 3*b = 0, 2*b = 1 - 5. What is the least common multiple of (u + 40\/(-12))*-6 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4474 - 4469. Suppose 2*p + 3*s + 8 = 2, s + 16 = 4*p. Solve -j*h = p - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -f - 3*n, -f + 0*n + 5*n = -148. Is 3\/2*f\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 9*w - 92. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 17*m**2 - 8*m + 6. Determine k(-8).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.63 (b) -297 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2878*f**6 - f**5 + 867309*f**2.\nAnswer: 345360*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*v\/v**(2\/3))\/(v**0)**(4\/23))\/(((v**(1\/12)*v)\/v**(-4))\/(v\/(v**0*v))**(-35)) assuming v is positive.\nAnswer: v**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 47.2 (b) -3 (c) 3\/4 (d) 0.02 (e) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3436586*x + 1480217.\nAnswer: 3436586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -7. Let t = -15.6 + 15.5. Which is the second biggest value? (a) t (b) 0.5 (c) p (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*p - 2645, 34 = 4*a + 54. Let x = p + -262. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 31*m - 16. Let d be r(17). Let p be (63\/d - -6) + -8. Which is the closest to 1\/3? (a) p (b) -0.4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(-6 + 14 + 13)*(1 + 0 - 3).\nAnswer: -84*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let i = -0.1 + 0.3. Suppose -4792*j + 220 = -9509*j + 4827*j. What is the nearest to j in a, i, -1\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2160135*y**3 - 1065659.\nAnswer: 6480405*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*m - m + 8*m)*(m**3 - 3*m**3 - 4*m**3) as z*m**2 + p*m**3 + f + d*m + q*m**4 and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 71 in descending order.\nAnswer: 71, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((-33)\/15 - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*a + 9, -5*a - 22 = 5*y - 47 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**2\/2 + 2*z - 8. Let i(k) = k - 1. Let x be -1*(-4 + 6)*(-10)\/(-4). Determine x*i(j) - 4*a(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 12*n**2 + 13*n + 1. Give o(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) 81 (c) 4 (d) 2 (e) 0.1554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaaq when four letters picked without replacement from {q: 5, a: 2, y: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 + 306.616. Let g = b + 14.328. Let h = g - 13. Round h to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 1:21 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i**2 - 8 + 12 + i**2 + 9*i + 7. Let s be w(-8). Let k = s - -14. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -10.7. Which is the nearest to x? (a) -4 (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2044060019 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let o be (-4 + 2 + 7)*d. Let i(u) = -u**3 - 5*u**2 - u - 2. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or 2\/623?\nAnswer: 2\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2999 - 3102 = -103*r. Do r and 236\/109 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 13. Let z(a) = -1045*a. Calculate z(u(v)).\nAnswer: 1045*v - 13585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038531 rounded to 4 decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 7 (c) 2\/7 (d) -240\/13 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/283242 and 19\/36.\nAnswer: 1699452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((sqrt(6480) + (-1*sqrt(6480) + sqrt(6480) - sqrt(6480)) + sqrt(6480))*-3)**2).\nAnswer: 58318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 507*d**3 - 2*d**2 - 2*d. Let m(j) = 127765*j**3 - 505*j**2 - 505*j. What is 2*m(f) - 505*o(f)?\nAnswer: -505*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1338.92 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521322 divided by -4.\nAnswer: -260661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 10*g**2 + 2. Let c(h) = 81*h - 34*h - 16*h - 18*h - 15*h. Calculate m(c(v)).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.78618042 and 1846.\nAnswer: 1852.78618042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20*220\/176*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 1, t: 1, x: 1, a: 1}. Give prob of sequence btv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/7 - -9\/7. Let z = 730.5 + -731. What is the closest to 1 in a, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41+-166603.2805\nAnswer: -166562.2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 8*j + 10. Let g be f(-7). Suppose 0 = -0*q + g*q - 18. Solve 0 = -8*s + 3*s + x - 3, 2*s - 2*x + q = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 5. Calculate d(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396967333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let w(d) = d**3 + 4*d**2 + d + 4. Let m be w(-3). Let i(g) = -m*g**2 - 7*g**2 + 14*g**2. Calculate p(i(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let o = -4 - -6. Suppose -f*x + o*b = -4, -2 = -2*x + b + 1. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - -4) + -1 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z. Let r(l) = 12464897*l**2 - l. Calculate r(x(t)).\nAnswer: 112184073*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*i - 4*l, -2*l - 48 = -3*i - 7. Suppose 0 = 4*b - 45 - i. What is the remainder when ((-4)\/(-10))\/((-2)\/(-200)) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78760626.\nAnswer: 2, 3, 7, 17, 47, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/75761 and -63\/4588952.\nAnswer: 32122664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28443 and 125381?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 439, 5, -12, 10, -3, 31 in descending order.\nAnswer: 439, 31, 10, 5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7823\/9 + 869. Put 2\/19, -7, 2\/9, q in ascending order.\nAnswer: -7, q, 2\/19, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4332354 (base 6) to base 11\nAnswer: 137102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 76\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*o + 190071 + 225869 - 160100. Calculate the lowest common multiple of o and 50.\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - j = 4*q - 27, -5*q = 2*j - 144. Put q, 5, -3 in increasing order.\nAnswer: -3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 + 2. Let s be k(-3). Let i = s - -20. Let j be (-21)\/6*24\/i. What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 1 - 3\/3. Let y be (0 + -3)*(-8 + 7). Suppose 2*s - g*n = -14, -y*n + 4 + 7 = s. Are s and -3\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/30 - m**5\/15 + m**4\/3 - 15*m**2. Determine n, given that z(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(2\/18). Suppose -k = g + z + 2, -2*k + 5 = -g. Sort -8, g, -4 in decreasing order.\nAnswer: -4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 824 - 824. Let w(h) = 185*h**2 - 10*h. Let q(n) = 185*n**2 - 15*n. Let f(c) = -2*q(c) + 3*w(c). Determine f(b(k)).\nAnswer: 740*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32223 and 2323.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 39. Let w(v) = 19*v + 3. Let t(h) = -7*h - 1. Let z(y) = 3*t(y) + w(y). Give z(d(n)).\nAnswer: 6*n + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -4 + -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122393899759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(-2 + 0 + 3) + 4 + 0 + 2 + 2 - 5 - 2 - 3 - 1 + 0)*(-q**2 + 3*q - 3*q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2*m - 1. Let s(d) = 10*d**2 - 6*d + 7. Give s(j) + 2*z(j).\nAnswer: 12*j**2 - 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 373153 + 846847. Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-688)\/205*(-5)\/6. Let y = u + 3\/82. What is the common denominator of -28\/5 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**3 + 6*u - 5. Let z(q) = -9*q**3 + 7*q - 6. Let o(v) = v - 103. Let p be o(40). Let j be (21\/p)\/((2\/(-1))\/(-30)). Give j*z(k) + 6*a(k).\nAnswer: -3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 5*y**2 + 13*y + 26. Let g be p(-6). Let k = g - -20. Solve 2*q - 3*f = k - 23, 0 = 2*q + 2*f + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1261681.7100055 + 1261682. Let l = -5.31 - -5.6. Let k = g - l. Round k to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0844 and -0.11.\nAnswer: 0.009284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((97 - 98)*(-2)\/115)\/(3\/(-15))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/93, 1\/8, 1?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7146 - -7225.49. Let z = o - 79. Let b = 0.4936 - z. Round b to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 19*u**2 - 2*u - 1. Let r be (-2 - 8\/(-7))\/(66\/(-462)). Let w be (8\/(-12))\/(r\/(-27)*-3). Calculate a(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 + 5. Let n be 3\/5 + 168\/20 - 13. Put k, 2, n, 0 in increasing order.\nAnswer: n, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 22700 + 26*l + 22697.\nAnswer: 24*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 5*b - 2. What is the remainder when 34 is divided by m(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from kchkkzhzzhzz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -2381532\nAnswer: -71445960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - -78. Suppose j + 4*j = y. Let r(g) = -6*g - 1. What is the remainder when j is divided by r(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 4, q: 1, w: 5, n: 3, j: 3}. What is prob of picking 1 q and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:50 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57673764 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23539 + -23500. Solve -4*z + t = 5*h + 76, 3*z + 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 0)*2\/3. Suppose -a*u = -3 - 7. Let b = u + -2. Solve s + b*s = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -5. Let p be 163\/6 - (-1)\/g. Let h = 102 + p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/45 and 5\/27201.\nAnswer: 408015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*w**3 - 749 + 1108*w**3 + 1501 - 752.\nAnswer: 2015*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -97 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 32*c + 1380. Calculate the remainder when 557 is divided by x(-42).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*o**4 - 2*o**3 + o**3 + 45*o**4 - 2*o - 36*o**2 as z + f*o + u*o**2 + y*o**4 + t*o**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*2*(-1 + (5*(sqrt(363) + -5) - sqrt(363)) + 0))**2 + 0).\nAnswer: -4668480 + 1647360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 94 = -82 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*n - 5*z, -2*z - 11 = -2*n + 1. Let i be 100\/7 - 2\/n. Solve -2 = 4*b - 3*w, -5*b = 2*w - 0*w + i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -12\/23 (c) 0.5 (d) -1\/3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 4. Let j be t(-3). Suppose j*w - 48 = -w. What is the remainder when 46 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 3.07. Which is the third smallest value? (a) q (b) 3\/7 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61147418 to the nearest integer?\nAnswer: 7820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85792 is divided by 28576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 484 + -474. Suppose w = 3*w + 4, 0 = 4*v + 3*w - 10. Let m be 10\/v*(22\/y - 1). What is m rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16931649 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*g**3 + 13*g**2 + 7808*g - 18881619.\nAnswer: 69*g**2 + 26*g + 7808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 905.928 - 909. Let o = -11 - -8. Let b = c - o. What is b rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16288516 and 8432?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2\/7 (b) 2\/5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqmmqqqqm?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871.56l in millilitres?\nAnswer: 2871560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5 (c) 4 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/5077814 and 20\/357?\nAnswer: 258968514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 37 = 3*h, -5*h + 22 = 3*k - 14. Let 0 - h*s**3 + 3*s**5 + 0*s + 6\/7*s**2 - 6\/7*s**4 = 0. Calculate s.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*o - 487, -2*x - 3*x - 4*o = 750. Let q = x - -34. Let s = 217 + q. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-4)*(23276\/(-598) + 40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -873 or 4967?\nAnswer: -873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 112, -1 in increasing order.\nAnswer: -1, 3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.18\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 536 (b) -3 (c) 4 (d) -138 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-1)\/4*(-6 - -4). Let j be (-1 - s)\/((-5)\/270). Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9 and 7\/17414517?\nAnswer: 52243551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195884990 divided by -359422?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 + 3*j**2 + 5*j - 2. Let l be g(-6). Solve v - 1 = -4, l*v + 11 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -2001231603?\nAnswer: -2001231605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*-9 - (10 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*z**4 + 109*z - 211*z - 9*z**3 + 102*z to the form o*z**3 + x*z**4 + u*z**2 + m + w*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.5, 5, 2\/13, 1\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875894533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/47*(-1)\/(-36).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 151. Does 6 divide o(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 651.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -978023859 divided by -3?\nAnswer: 326007953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (189 - 118 - 108)*(6*n + 0*n - 2*n) to d*n + o and give d.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 - 2 = 0. Suppose 12*u - 11*u - 4 = 0. Solve g = y*g + u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1110220?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8 and -39\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/3)\/(-1) - -3. Let i(q) = -q**3 + 5*q**2 + 17*q - 7. What is the remainder when (2\/(-3))\/(k\/444) is divided by i(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 15*w = 15. Is 4 + 40 + 3 + w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15104 or -2\/9?\nAnswer: 15104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 9*z**4\/2 + 2*z**3\/3 - z**2. Let s be f(7). What is s rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/9*(1 + 130). Let b = l - -208. Let j = b + -51. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8004804.6 rounded to the nearest 100000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let z(c) = 4386*c. Calculate h(z(q)).\nAnswer: 38473992*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/39690 and 37\/4536.\nAnswer: 158760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 264*g**2 + 2*g + 16. Determine x(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*h + 29. Let z(m) = -4*m**3 - 5*m**2 - 3. Let q(j) be the second derivative of j**5\/4 + j**4\/2 + 2*j**2 - 2*j. What is h*q(t) - 3*z(t)?\nAnswer: 2*t**3 + 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 4*r - 0, r - 29 = -5*n. Let l be ((38 + -3)\/n)\/(-1). Let b = l + 11. Solve 26 = -b*a + 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*b - 2*p + 138, b + p = -27. Let h(l) = -9*l - 7. Let o be h(9). Let c be o\/b + 6\/16*-2. Solve c*s = -3*w - 3, 4*s - 4*w = 3*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + 8 - (0 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369767509?\nAnswer: 369767509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 8.41?\nAnswer: 8.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 12)*(0*m - m + 2*m)*(-1 + 2 - 5)*(0*m + 0*m + m).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 84429.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*s = 40, -4*s + s = -h - 11. Let q be 4\/(h\/(-83)) + (-2)\/(-2). Let i = q + 82. Solve 0*f - 15 = 3*f + 4*m, i = f - m + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*k = -8*k, -2*k - 2 = p. Factor 0*z - 1\/5*z**4 - 1\/5 + 2\/5*z**p + 0*z**3.\nAnswer: -(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + 9. Let o be t(9). Let s(w) = 4*w**2 + 69*w - 12. Let b be s(-18). What is the greatest common divisor of b and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s**2 - 4*s**2 - 2*s**3 + 3*s - 2*s**4 + 9*s**2 + 3*s**2 to v*s**3 + j + k*s**4 + o*s**2 + f*s and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 40.003. Let p = -0.056 - w. Let j = p + 0. What is j rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-81) + (-19)\/18.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**3 + 2*b**2 + 6*b + 11. Let y(v) = 2*v**3 + v**2 + 3*v + 6. Suppose -4*z + 2*i - 38 = -i, 5*i + 10 = 0. What is z*y(q) + 6*d(q)?\nAnswer: 2*q**3 + q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3666*o - 4456*o**2 + 173*o - 526*o wrt o?\nAnswer: -8912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2 + 3)\/(-3))\/(-1). Let i = -5.1 - -4.63. Let y = -0.07 - i. Which is the third biggest value? (a) -1\/2 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17.302 and -0.07 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 255300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 745761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 19 - 15)*(1 + y**4 - 1 + (y - 2*y + 2*y)*(2*y**3 - 3*y**3 + 0*y**3) + 1 - 1 - 2*y**4).\nAnswer: 70*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 71288.\nAnswer: 213864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let v(g) = -4*g**2 - 3*g + 3. Let n(u) = 3 - 8*u**2 + 5*u - 6*u - 6*u + 4. Let a(o) = -2*n(o) + 5*v(o). Determine a(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.05 + 0.05. Let r = 5 - 3. Suppose 3*l = -l - 4, -r*m - 5 = 5*l. What is the smallest value in 1\/5, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 - 166?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1011111100010100011 (base 2) to base 6\nAnswer: -12215415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (2208 - 2218 - (-11 + 0 + -1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a century in years?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7533433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 84.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let w = -7 + j. Sort 5, w, 2\/3.\nAnswer: w, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 12*n + 33. Let f be x(-11). Let t = f - 59. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.8 + 0.2. Let m = -33 + g. Which is the nearest to m? (a) 4 (b) -1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15016978573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*j = -32, -5*i - 3*j - 113 = -172 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246238021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38634 and 1551.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -140, 9\/17, -106 in ascending order.\nAnswer: -140, -106, 9\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let j be -3 + (-9)\/(-3) + -2. Let q be -3*((-1)\/2)\/((-24)\/16). Put 2, b, j, q in descending order.\nAnswer: 2, b, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400069 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-90))\/((-17)\/(-3842)))\/(-1*(-9)\/(-27))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q\/q**(-3))*q\/(q\/((q\/q**7*q)\/q))*q**(-2\/9))\/(q**(-2\/5)\/q**(-4\/5)*(q*q**(-1\/4))**44) assuming q is positive.\nAnswer: q**(-2008\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**5 + 20*p**2 + 17*p. Let f(q) = -5*q**5 - 7*q**2 - 6*q. Let a(m) = -17*f(m) - 6*j(m). What is the third derivative of a(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 + 780677?\nAnswer: 780604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3 + 6. Suppose 3*m + 4*h + 20 = 0, -k*h + 2*h = 4*m + 5. Solve -4*u + m*u + 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7 + 17. Suppose -s - s = q. Let x be s\/(-12) - (-350)\/8. Calculate the greatest common factor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 142, 249, 356, 463, 570?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -229\/4 in 5, 3.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 28*p + 658142. Let d(v) = v. Give d(q(u)).\nAnswer: 28*u + 658142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 + 124 + (-55 - 105)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/20*(1 - -23). What is the highest common factor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmmizzmmzmmzmmg. Give prob of picking 1 i, 1 z, and 1 m.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5455 - -0.0455. Let i = -1 + 1. Let w be 0 + i - 2\/(-15). Which is the nearest to 0.2? (a) s (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/20577?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - 3*g - 5. Let m(c) = c**2 + 2*c + 3. Let t = 6011 - 6016. Calculate t*m(j) - 3*y(j).\nAnswer: 4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 - 4*i - 3. Give n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/42197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 + 3. Let o be f(-3). What is the units digit of 2 + (-490)\/o + 2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 i, and 1 l when four letters picked without replacement from {e: 1, l: 3, z: 1, i: 11, d: 1, n: 1}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 plus 350936.4794?\nAnswer: 350937.1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, 0.09, 1, -5\/12, 1\/7, 1\/17, 28?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, -2.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 96467.845 to the nearest ten.\nAnswer: 96470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - f - 4*f. Suppose 4*o = o + 15. Suppose -5*n - 5*j - 10 = o, -5*n - 2*j = 0. Give y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 40 = 5*w, j = 5*w - 10 - 10. Suppose w*d - 4*d + 4 = 0. Suppose 5*s + 5 = d*s. Which is the third biggest value? (a) 2 (b) -1\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15*m = 20*m, 6 = 4*v + m. Suppose 0*j = -2*j + 2. Sort v, j, -7 in increasing order.\nAnswer: -7, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -52196685.\nAnswer: -11\/52196685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/15)\/(8\/10). Let k = 1275.8 + -1276. What is the second biggest value in 7\/10, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9044192l to millilitres.\nAnswer: 904.4192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 18*y - 10*y - 43*y**3 + 41*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + r = 3*m - 1116, -884 = 4*m + 3*r. Let b = m - -2466\/11. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*s - 71070000 = -132*s. Round s to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*w + 20 + 28, 4*m - 60 = -5*w. Suppose 9*x - w = 5*x. Solve -3*j + 2*q = 10, x*j + 5*q + 0*q = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.25 + 0.27. Let n = d + -0.02. Let w = 0.50000112 - n. Round w to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -1. Let z = y + -0.5. Let i be 8\/(-100) + -6 + 2024\/300. Put z, i, 5 in descending order.\nAnswer: 5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djcickcjjci. Give prob of sequence jkcc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 + 6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.3 - 85.3. Let g = b - -71. Let i = -7 + 6.7. What is the closest to i in g, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -19 (b) -2\/9 (c) 6.866\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -56. Suppose -5*m + n*m = -285. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/2695 (b) 0.5 (c) 0.06 (d) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**7\/2520 - v**6\/720 - v**5\/30 - v**4\/3 + 5*v**2\/2 - 4*v. Let q(x) be the third derivative of s(x). Determine q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 13, i: 3, z: 2, s: 1}. What is prob of sequence sb?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802214973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -495, 0.01, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18286271737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833) - sqrt(833)) + (sqrt(17) - (-1*sqrt(2448))**2).\nAnswer: -2448 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 >= -54\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - 52\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3928.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzn when three letters picked without replacement from znzvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 11*t**2 - t - 3. Let n be u(-11). Let s(y) = y - 2. Let h be s(2). Suppose -c - c + n = h. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(176) - (sqrt(176) + -2)) + (sqrt(11) + 1 + 4 - sqrt(11))))**2 + 4 + 2.\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2201\/10026 + 3\/1114. Let y(k) = -k - 7. Let w be y(0). What is the third smallest value in 0.1, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -56*q - 44. Let x(n) = -n**3 - 2*n**2 - 15. Let c be x(-3). What is the hundreds digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28302267?\nAnswer: 3, 7, 19, 89, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - s)*(7 + 12*s**2 - 7)*(-s + 4 + 2*s - 5).\nAnswer: -12*s**4 + 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*h + 26, 4*d + 0*d = -3*h + 11. What is the units digit of (-15)\/(-2) + d\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {b: 3, y: 6, q: 7, w: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -37.41. Let m = -0.01 - r. Which is the closest to -1? (a) 2 (b) 2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/46872 and 61\/2101428.\nAnswer: 12608568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -7. Let p(v) = 7*v + 1. Let y(l) = -24*l - 3. Let m(w) = -18*p(w) - 5*y(w). Determine m(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 2 = 106. Does 4 divide g\/((-52)\/1712) + -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*r**2 - 3*r + 9\/2 = 0. What is r?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54488634229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1327209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16152 = 1606*o - 1614*o. Does 113 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8089612, 8089600, 8089564, 8089492, 8089372, 8089192?\nAnswer: 8088940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 17 = 3. Suppose 12 = 4*f - m*b - 19, 0 = -f + 3*b + 6. Which is bigger: 10 or f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (3 + 1 - 3)*(2 - 6 + 3) + 1 + 2 - 2 - 4 - 3 + 2)*(1 + 2*s**2 - 1).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 - 13)*((0 + 0 + 2*o)*(-2*o**3 + 8*o**3 - o**3) + 2*o - 2*o + 3*o**4).\nAnswer: -156*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6472514, -8, -4, -2 in descending order.\nAnswer: -2, -4, -8, -6472514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (0 - (-56)\/(-20))*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1922, 1915, 1904, 1889, 1870, 1847?\n\"Answer: -2*f**2 - f + 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112317 is divided by 62.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50050*w**3 - 580*w**2 - 2*w + 55775514 wrt w.\nAnswer: 150150*w**2 - 1160*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2243 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.438 - -0.43799743. What is k rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000 less than 11909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -263\/136 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (11 - (-9 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:02 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9749732 decades?\nAnswer: 0.09749732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 54. Let k be r(0). Let z = 45 + -81. Let v = z + k. What is the highest common divisor of 144 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-2 - (0 + -3)). Suppose -4*k = 4*b - 5*b - 8, j*k = 8. Is 0.1 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327256 (base 8) to base 13\nAnswer: 3b251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139089 - 139094. Let l be (-1)\/4 + 13\/(-44). What is the closest to b in l, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 28*g**2 - 28*g**2)*(0 - 1 + 0) - 7*g**3 + 2*g**3 + 3*g**3 - 2*g**2 + 2*g**2 + g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuhxhan. Give prob of sequence uv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002964546 to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -68131*-0.1\nAnswer: 6813.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40950*c**3 + 0*c**2 + 40462*c**3 + 4*c**2.\nAnswer: -488*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.38214373 to 4 decimal places.\nAnswer: 1.3821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 20*d**2 + 82*d + 62. Determine o(-12).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(8)\/sqrt(4) + -4 + sqrt(4)\/sqrt(2) + 3 + sqrt(2))**2 + 6*(sqrt(72) + 0 + sqrt(72)))*-5.\nAnswer: 475 + 1650*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155466 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 4. Let r be o(2). Suppose -2*z - r = -12. What is the greatest common factor of z and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 3*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 221, 540, 997, 1598?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 820319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1*6)\/(sqrt(10) - sqrt(360)))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 105, 179, 285, 423, 593?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**3 + 7*h - 10. Let w(z) = 7*z**3 + 4*z - 7. Calculate -5*c(t) + 7*w(t).\nAnswer: -t**3 - 7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(80))**2 - -1*(sqrt(80) - (sqrt(80) + 0 - sqrt(80)) - sqrt(80) - sqrt(80))**2) + 4*1*sqrt(80)*-4.\nAnswer: -64*sqrt(5) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 2. Let h be y(2). Suppose -2*m = -h*m. Suppose m = 4*q - 5*l - 7199985, -4*q + 4*l = -0*l - 7199988. Round q to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168938 >= -168937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48556348 to 3 decimal places.\nAnswer: -0.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31530.749084618 - 31530.716. Let f = l + -0.03308. What is f rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(234\/(-12)))\/((-2210)\/1560).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1428 + 1429. Let j(s) = 104*s. Let y(d) = d. Give i*j(w) - 78*y(w).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -0.11 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 + (-8 + 4 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 20*b**2 + 2. Let h be y(-10). Let w be 6*(-2)\/(-4) - h\/(-1). Solve w*j = -0*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-42) - (-191)\/7. Suppose -6*m + m + 2*a = -39, -2*m = 3*a - w. Let y = -25 + 51. What is the remainder when y is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*y = y. Let h = 23 + -5. Solve -2*r = 4*s - h, 10 = 3*s - y*s - 2*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:44 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 + -91. Let f = a + -53. Suppose -f*c = -3 - 21. Solve l - c = 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62264 and 311320?\nAnswer: 311320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, 6567, 24990, 60859, 119988, 208191?\nAnswer: 331282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 1273?\nAnswer: -25.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*37572\/2480 - (-7)\/224*-12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 175*x. Let q(o) = 58*o. Let w(f) = -8*q(f) + 3*t(f). Let g(d) = 7*d - 8*d - 2*d + d. Calculate g(w(m)).\nAnswer: -122*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-10)*(210\/12)\/(-7). Let p(m) = -m - 1. Let l(d) = 2*d + 2. Let s(t) = -6*l(t) - 11*p(t). Determine s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -5 + 41. Let c(h) = 1 - 3*h - 5 - i + 3. Let n(d) = -d - 2. Give -6*c(m) + 21*n(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:15 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 110966880?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316103943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 21*h + 7 + 0.\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 12*h**2 + 6*h + 63. What is the remainder when 70 is divided by g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 2}. What is prob of sequence att?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w - 1. Let z be 4 + ((-16)\/(-88) - (-171)\/(-33)). Let j(k) = -k**2 - k. What is z*c(p) - 4*j(p)?\nAnswer: 3*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 111346?\nAnswer: 22603238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -198, -423, -732?\n\"Answer: -42*d**2 - 15*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - (-16)\/(-28). What is the nearest to g in -2, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**20)\/((n*n**(-23))\/n))\/(n**(-20)\/(n*n**(-11))))**(-2\/15) assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -407 + 419. Let u = 11 + z. What is the greatest common divisor of 529 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/571? (a) 2.15 (b) -2\/7 (c) 1\/6 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -20 + 26 - 8 - 13\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -27. Let p be 4\/(-1) + y + 205. What is the common denominator of -2*2\/4 - p\/(-54) and 187\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/43912 and -83\/154.\nAnswer: 307384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39\/2)\/(3\/(-8)). Let l(n) = 8*n**2 - 2*n + 1. Let f be l(-3). Let z = f + r. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**8\/168 - b**6\/120 - 9*b**5\/20 - 37*b**2 - 2*b. What is the third derivative of j(n) wrt n?\nAnswer: 120*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -16\/5*z**5 + 0*z**4 - 25 - 8\/3*z**3 + 4*z + 0*z**2. Find the third derivative of h(w) wrt w.\nAnswer: -384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32000\/375 + 2*((-9)\/(-3))\/(-18). What is the greatest common factor of 1241 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -6216557 in decreasing order.\nAnswer: -2, -11, -6216557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73603.\nAnswer: 89, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21.342 - 290250\nAnswer: -290228.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7828*j + 15637*j - 60 = 7819*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -256 * -0.3\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -115\/4839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d**3 - d**2 + 0*d**3 - d**4 - 11*d**3 + 31 + 2*d + 2 in the form j*d + b + k*d**3 + a*d**4 + t*d**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1 - 3 + 5 = 2*l, 4 = l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 5*f - 5*f + 0*f + 2*f + 0*f + (-6 + 2 + 2)*(-1 - f + 1) - 44 + 44 - 26*f - 4 + 2*f - 4*f + 2.\nAnswer: -26*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(1053) + sqrt(1053) - (-2*sqrt(13) + -3 + sqrt(13)))**2.\nAnswer: -30603 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -631*i - 56*i**2 + 631*i + (0 + 4 - 1)*(2*i**2 + i - i).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/14 and -47\/388?\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 18*z**3 - 16*z**3 + 3*z - 4*z to j*z + f*z**2 + n + c*z**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/1560 and 49\/535470.\nAnswer: 2141880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q - 4. Let n be d(1). Suppose -n*a - 16 + 20 = 0. Sort 10, 0, a in ascending order.\nAnswer: 0, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1438 - 1466 - (-1 - 15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/199 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-1 + -4) - (-1350)\/135?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -25. Let j = -4.93 - 0.07. What is the nearest to -1\/3 in n, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*a**4*v + 29*a**4 - a**3*v + a**3 - 2*a**2*v + a*v + a + 333*v wrt a?\nAnswer: 1512*a*v + 696*a - 6*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 268910.4 nanograms?\nAnswer: 0.0002689104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/20)\/((-3)\/(-20)). Suppose 2*a - 3*g = -g + s, 4*a = -g + 7. Calculate the smallest common multiple of 107 and a.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 762088588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-15 + (13 - 19))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:18 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24626308 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104, 374, 1110, 2546, 4916?\n\"Answer: 39*v**3 - v**2 + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from mmmmxmmmmxmm?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 3*x - 1341 = 0. Let s = 144 - x. What is the nearest to 0 in s, -0.02, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 11*o = m - 343, 4*m = -2*o + 154. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-36) - 2\/(-8). Let n = -0.6 - -1. Which is the closest to n? (a) -1\/7 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from {g: 2, x: 6, r: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.005 - 0.055. Let d(t) = 37*t - 779. Let k be d(21). What is the closest to 1\/5 in 2, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*f**3 + 547 - 1089 + 542 + 70*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnoc when four letters picked without replacement from {n: 2, c: 1, t: 4, d: 1, o: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let l(p) = 2*p**2 + 2 + p**2 - p**3 - p**2. What is the units digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpscplbs. What is prob of picking 1 s, 1 b, 1 l, and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -275 - -194. Let s = 76 + b. Suppose n = 2*n + k - 2, 17 = -2*n + 5*k. Put n, s, -13, 3 in ascending order.\nAnswer: -13, s, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-30) + (-2)\/5. Suppose u*w - 1 = w. Solve -2*b = w + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-4\/3))*t)**44)**(-6)\/((t*t**(1\/7))\/((t\/(t**(-13)\/t*t))\/t))**(-2\/21) assuming t is positive.\nAnswer: t**(-51910\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = q. Let z be 3\/18*-1*-2. Which is the nearest to -1\/3? (a) -1\/11 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.24, -5, -1890.15, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 234 = a + 243, -4*a = -5*v + 12. Solve -5*d - 18 = -v*d - 3*f, -4*d + 4 = -f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13732 - 10632. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 - (105 + -123 + (-6 - -2) - -39)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1 + 1\/2*f**2 + 0*f. Let y(x) = 2*x - 1. Determine -y(l) + 4*z(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 8. Give n(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195740.\nAnswer: 2, 5, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593, -846, -1265, -1844, -2577, -3458?\nAnswer: -4481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(24) + -2*sqrt(384))\/((sqrt(2) + sqrt(126)\/sqrt(7))*2))*-4)**2 + -3.\nAnswer: -56*sqrt(3) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 25 - 30 + 5*o - 4*o. Let l be h(9). Let s be ((-20)\/(-24))\/5*l. Which is the nearest to 1\/2? (a) s (b) 24 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 50.\nAnswer: -1, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -429.25 and -0.1?\nAnswer: 429.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z + 8. Let n(k) = k**3 - 8*k**2 + 41*k - 240. Let a be n(7). Give w(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/(-12) - (-1)\/(-4). Suppose -3*q = -j*q + 4. Suppose 3*r = -0*r + 5*g - 1, 4*r = -2*g + 16. Solve 0 = -r*h + q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 12:46 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000345619 rounded to seven dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v + 13*v - 7*v + 10. Let t be x(3). Solve 2*l - 6*u + 3*u = -6, -4*u = 4*l - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j - 11. Let n(v) = 5*v**2. Determine s(n(h)).\nAnswer: -130*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zxzxxxzxzzxxxxzzzxxz.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 7*v - 5. Let b be u(4). Let c = b - -21. Suppose 81 = 4*o - 3*t, -18 = -c*o - 3*t + 93. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -32. Let i(c) = -c**3 + 5*c**2 - 9*c + 23. Let w be i(4). Let h be ((-230)\/(-3))\/(52\/p + w). What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12240, -7, 7, -3 in decreasing order.\nAnswer: 7, -3, -7, -12240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/90*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 325597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 + 14909914\nAnswer: 14909913.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 3. Let t be w(-2). Let g = -56\/5 + t. Let o = 290\/9 - 32. Which is the closest to 0.4? (a) g (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - -178) + -114 + -13 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*w - 3552 + 12162 = 21*w - 8*w for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyymymmyyymyyyyyyyy. Give prob of sequence yym.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-24)\/6)*(6 - (16 + 1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15012\/24 + (-5)\/(-2)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-6) + 8\/12. Let v(g) = -1 + 3*g - l*g + 0 + 2*g**2. Let a be v(3). Solve 0 = 4*n + 7 + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-0.6736.\nAnswer: 22.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) + sqrt(9072) + sqrt(9072)*2)\/(sqrt(63)\/sqrt(28)) - (1*sqrt(70)*1)\/(sqrt(80)\/(sqrt(8) - sqrt(72))).\nAnswer: 98*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (305\/20)\/(2\/(-56)). Let y = -231 - i. Is 2\/10 - (-4)\/(80\/y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**2 + 6. Suppose -54*q = -87*q + 165. Let t(u) = -u**2 + 1. Determine q*t(c) - z(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -4)\/3*5. Put k, 8, 7 in descending order.\nAnswer: 8, 7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p - 7*p**5 - 2*p - p + 11*p**5 wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32904?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 4*s + 2*s)*(4*s + 5*s - s) + 3 + s**2 - 2*s**2 - 2.\nAnswer: -65*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - -7) + -22 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 + m + 1. Let d(h) = h**2 - 9*h - 3. Let j be d(9). Let c(n) = n + 3. Let w be c(j). Suppose 4*v - v + 9 = w. What is b(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -175*n + 179*n, -3*n = 5*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 43. Let b(q) = q**2 + 7*q + 3. Let h be b(s). Solve h*a + 4*l = -16, a - l = -2*a - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 0*n + 38 - 3*n + 9*n + 39 as q*n + f and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2060 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = 4*u, -5*q + 10 - 30 = 0. What is the second biggest value in 0.04, 3, u?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let a = 4.99966 - n. Round a to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 4751 = 1359. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.4, 177, -1\/5, 4, -1\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -463\/18 + 51\/2. Let w(k) = -k**2 + 7*k + 5. Let u be w(7). Suppose -o = -u*o. Are z and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -2*n + 21, 371*n + 2*t = 373*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v + 160 = 110*v. Solve -3*w + 29 = 4*x, -v*x - 2*w = -4*w - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-12320)*-33)\/((-4)\/10*-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Let f(k) = 72*k**2 + k + 2. Let b be f(r). Suppose 4*t = 4*j - 5596, 3*t = -3*j + 2378 + b. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 4, c: 4, b: 8, p: 2}. Give prob of sequence yc.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/(2\/((-32)\/(-4))). Let b(s) = s**2 - 4*s + 1. Calculate b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - (-13)\/5. Suppose c*a - 18 = -3*v - 0*v, a - 20 = -3*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2348, -9373, -21088, -37499, -58612, -84433, -114968?\n\"Answer: -o**3 - 2339*o**2 - o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let r(t) be the first derivative of -t**4\/3 + 10*t + 30. Let g(k) be the first derivative of r(k). Calculate g(h(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + a**2 - a**2)*(0*a - 5*a + 0*a)*(-1 + 0 + 2)*(-3 + 2*a**2 + 3).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64.26261 meters?\nAnswer: 64262.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 7*z + 10. Let v be m(-7). Calculate the least common multiple of (-141)\/(-12) - 2\/(-8) and 4\/((-1)\/v*-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 - y + 22. Let c(t) = -2*t - 4. Let o be c(-2). Let u be s(o). Calculate the remainder when 71 is divided by u - (4 - (-6)\/(-1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {c: 1, x: 4, f: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202133 (base 6) in base 16?\nAnswer: 5f0a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15551a (base 13) to base 4.\nAnswer: 2000121333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/30 + 25*t**4\/24 + 13*t**3\/3 - 15*t**2 - t + 1. What is w(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2 and 6*(-4)\/(-40) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*k + 50, -5*q + 3*k = -q - 33. Let h be 3\/2*-4*(-3)\/q. Factor 9*j - 15\/2*j**2 - h + 7\/4*j**3.\nAnswer: (j - 2)**2*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - c**4 + 1053*c**2 - 12*c**3 + 2*c**5 - 1053*c**2.\nAnswer: 2*c**3*(c - 3)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21444*y**5 - 11254*y wrt y?\nAnswer: -428880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1668645 + 170155. Round c to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.89 - 8.9277. Let p = l + -10.9623. Which is the nearest to 0.2? (a) -1\/11 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601858, 601863, 601870, 601879, 601890, 601903, 601918?\nAnswer: 601935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + -3 + sqrt(245) - ((2*sqrt(5)*-6)**2 + sqrt(15)\/(sqrt(12)\/sqrt(4)))) + -2.\nAnswer: -716 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 8:52 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76262?\nAnswer: 2, 17, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7 - 9. Let u = 4 - s. Solve u = 2*b - 2 - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -47 - -8 - -14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79826021.\nAnswer: 11, 7256911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -19 (c) 1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, 12920, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/3 + 2150*r**2\/3 - 231418*r + 19669902 = 0. What is r?\nAnswer: 133, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 7 - 13) + 24 + -23 + -1 + 33\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -56.95810166811.\nAnswer: -56.85810166811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/8*((-559)\/39 + 13)*(-90)\/243?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 5*v - 2. Let h be f(3). Suppose -2*o + 7 = -5. Suppose 2*x + 8 = -3*i, -o*i = -i. Sort h, 1, x in increasing order.\nAnswer: x, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -63*u - 173. Let i be l(-3). Calculate the highest common divisor of 464 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:09 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(24)\/sqrt(2)))**2 + (0 + sqrt(51)\/sqrt(3))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -5*-1*sqrt(104) - sqrt(104))\/(sqrt(8) + (sqrt(8) - (sqrt(40)\/sqrt(5)*4 + sqrt(8)))).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503321060 to the power of 1\/2, to the nearest integer?\nAnswer: 38773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 7*j - 6. Let r(x) = -5*x**2 + 13*x - 11. What is 11*f(h) - 6*r(h)?\nAnswer: -3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1417695 divided by -15\nAnswer: 94513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzppppzpzp. Give prob of sequence pzzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*m + 36 = 0, -q - 10 + 13 = 2*m. Let d(k) = 3*k + 21. Let x be d(q). Let j(o) = -o**2 + 6*o + 3. Calculate j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s**2. Let l(n) = 45*n**2 - 221*n - 2. Determine l(k(y)).\nAnswer: 13005*y**4 + 3757*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465601 is divided by 281?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtvtvtttttj. Give prob of picking 2 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 + -3. Let l(p) = p**2 + p - 1. Let d(b) = b**3 + b**2 - b + 6. Let g(o) = -d(o) + 5*l(o). Let a be g(5). What is the nearest to a in 5\/4, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 852*x**2 - 24204*x - 25060.\nAnswer: -4*(x - 179)*(x - 35)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 14\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14455664.\nAnswer: 2, 903479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 26*j**5\/3 + 3106*j**4\/3 + 41036*j**3 + 1595360*j**2\/3 - 953600*j\/3 - 256000 = 0.\nAnswer: -40, -6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Let r(k) = 2*k**3 - 5*k**2 + 3*k. Suppose 6444*n = 6438*n + 12. Let y(q) = 0*q - 2*q + 16*q**2 - 2*q**3 - 12*q**2. Calculate n*r(g) + w*y(g).\nAnswer: -2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-8)*r**8*(r*r*r\/(r\/(r*r**(4\/3)))*r)**(-2\/117))**(-23) assuming r is positive.\nAnswer: r**(-136505\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8539243.84 rounded to the nearest 100000?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7330\/(-810) + 9)*(-495)\/22.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4826.520872 rounded to the nearest 10?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x + 15. Suppose -2*r = -x, -5 = 4*o - 5*r - 3. Suppose o*t = -n + 35, n + 107 = 4*n + 4*t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s**2. Let w(g) = -4*g. Calculate h(w(f)).\nAnswer: 208*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -55*d**8\/56 + 13*d**4\/12 - 3*d + 21. Find the third derivative of p(a) wrt a.\nAnswer: -6600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -77*k**4\/24 + 2*k**2 + 411*k. Let x(l) = -60*l**2. Give w(x(j)).\nAnswer: 4620*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 172 = 5*x + 465, 2*u = -x + 263. Let b = 37661 - 37655. What is the lowest common multiple of u and b?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593 + 191 = -75*i + 573 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406513 is divided by 462?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + (-3 - -2) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14*n**2 - 4*n**2 - n**2. Let k(h) = -3*h. Calculate t(k(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2820 divided by -235.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -181, -363, -543, -721, -897, -1071?\n\"Answer: q**2 - 185*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6537 in 3, -3\/4, -2\/7, 11, -0.07?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 6 - (-23 + 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*g + 5 = 4*g, -3*p + 5 = 4*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 721 - 717. Let k(c) = c**3 + 4*c**2 - 2*c - 2. Let o be k(-4). Solve 0 = -x + 2*z, -n*x - 2*z + 7*z = -o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 6*l. Let v be z(4). Let u = -5 - v. Let 0*c**u - 2 - 5*c - 2*c**3 + 7*c**3 + 0*c**2 + 2*c**2 = 0. What is c?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13*(d\/d**14)\/d)**(-1\/14) assuming d is positive.\nAnswer: d**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8.8. Let p be (-3)\/9*-3 + 3. Let z = p - 2. Which is the closest to 1? (a) s (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06221662967 to 4 dps.\nAnswer: 0.0622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k)*(-2*k + 0*k + k) + (1 + 0 - 3)*(-3*k**2 + 5*k**2 - k**2) + k**2 - 3*k**2 - 2*k**2 + 81 + 37*k**2 - 81.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:40 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5 - 7. Let p(b) = -4*b**3 - 7 + a*b + 5*b**3 + 13*b**2 + 1 + 0. Is 33 a factor of p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 0*s + s + s - 2*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 0*w - 4*w)*(4 + 5 + 3)*(8 + 2*w - 8) + (0*w + 0*w + w)*(-7*w + 4*w + 11*w) to l*w + g*w**2 + s and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100011111011110 (base 2) to base 8.\nAnswer: -2143736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*a = 1777 - 378 + 1667 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30691, 61345, 91999, 122653, 153307?\nAnswer: 183961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -233*n**3\/6 - 28*n**2 - n - 183. Let o(h) be the first derivative of b(h). Differentiate o(a) with respect to a.\nAnswer: -233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 20. Let u(d) = -2*d - 6. What is the tens digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 2*w - 10. Let p be h(6). Suppose 4*a = 2*n + 26, -a + 0*n = -2*n - p. Suppose -15*y - 34*y**2 - a - 6 + 29*y**2 = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n*(n*n**(1\/3)\/n)\/n)\/n)))\/n)\/(n**2\/n)*n**(-1)*n\/n**(-3\/4) assuming n is positive.\nAnswer: n**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -58, -139, -254, -403, -586, -803?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 3 + 0 - (60 - (55 - 22)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/26 in -2\/13, 16\/9, -8, 0.15, 0, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 60, 0.3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150651 is divided by 2352?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 212 (c) 597 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-3)\/6)\/((-2)\/(-484)). Let o = -70 + r. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 61 - 1 = 0. Suppose 6*n - 9*n + 2*i + 94 = 0, -a*i - 137 = -4*n. Calculate the greatest common factor of n and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 + 3*p**2 - 3*p**2 + (-5 + 2 + 1)*(3*p**5 - 3*p**5 + 2*p**5) + p**5 + p**5 - 4*p**5 + 2*p**5 - 4*p**5 + 3*p**5 + p**5 - 4*p**5 + 2*p**5.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33559613?\nAnswer: 59, 568807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:34 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -191813, -191869, -191917, -191957?\n\"Answer: 4*d**2 - 68*d - 191749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*d**4 - 41*d**3 - 13*d**2 + 1 - 11*d**3 - 411*d**4 - 2*d + 197*d**4 as j*d + a*d**3 + o*d**4 + u*d**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 25 = -3*r, 62 - 47 = r + 5*p. Solve -r*a - 15*a + 19*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3653 - -1251?\nAnswer: 48a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*p - 2*d = 4, -p + 25732 - 25742 = 5*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.23736g to tonnes.\nAnswer: 0.00006223736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/39)\/((-18)\/(-27))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 + 22*f + 4626. Calculate p(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 13*j. Let l(m) = -m**2 + 3*m - 34. Let h(s) = -2*s**2 + 5*s - 68. Let i(f) = -4*h(f) + 7*l(f). What is the units digit of i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008431 to four decimal places.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 591 = f. Suppose -f = -2*z + 19. Suppose 2*q + q - z = 0. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2297754 and 288?\nAnswer: 36764064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 2*h)*(1 - 2*h - 1 + (3*h + 3*h - 5*h)*(4 + 0 - 3) + h - 4*h + h - 4*h + 12 - 12).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/13*m + 2\/13*m**2 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnr when three letters picked without replacement from nrnimnmnnmrrnrmrrr?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0)\/(3*1\/3). Let k be (2 - t)*3\/(-9)*-3. Suppose 4*o - 4*m + 48 - 13660 = 0, k = -5*o + 3*m + 17023. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.297 - 1.4. Round f to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 51*x - 24*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*x + 1896 = 20*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/26 - 4\/13. Which is the smallest value? (a) w (b) 2\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1423434478 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 148.83, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s. Let o(h) be the first derivative of -h**2\/2 + 29. What is d(o(i))?\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.998 + 0.002. Let w = -27.999874 + s. What is w rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + 5*l + 6. Suppose 10 = 3*u - 5*t, 2*u = 2*t + 2*t + 6. Suppose -1 = -u*i - 3*w - 14, 0 = -2*i - w - 6. Is d(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29059651 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71014, -141879, -212734, -283573, -354390?\nAnswer: -425179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3435 + 1934 + 1718 - 309*q)*(0 + 1 + 0) to the form l*q + g and give g.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 2)*(-3 + 3 + u) + u - 5*u + u + u - u + 5*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1999, 8118, 18317, 32596, 50955, 73394?\nAnswer: 99913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**4\/24 - 11*t**2. Let j be i(2). Solve -c = j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (759*y - 3419*y + 1662*y)*(5*y - 4*y + 5*y).\nAnswer: -5988*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7834 + -7834. Which is the biggest value? (a) 0.3 (b) 0.1909 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 79. Let h = 4\/49 + -25\/49. Let j = -4.7674 - 0.2326. Put 2\/7, j, h, x in descending order.\nAnswer: 2\/7, h, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*h - 1, -1077*t + 1073*t + h = 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 648788?\nAnswer: -5\/324394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:21 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 69*n**3 + 2*n - 1. Let j be u(1). Let z(r) = 2*r**2 - 2*r - 2. Let s be z(3). What is the greatest common divisor of j and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {g: 2, e: 1, m: 2, y: 3, i: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10885630, 10885630, 10885628, 10885624, 10885618, 10885610?\n\"Answer: -l**2 + 3*l + 10885628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 1279*o**3 - 5124*o**2.\nAnswer: o**2*(o - 4)*(o + 2562)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1551669, 1551682, 1551705, 1551744, 1551805, 1551894, 1552017, 1552180?\nAnswer: 1552389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 7836 + 8156 = 5*w, -31*w + 150 = 4*q - 133 for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2829268.\nAnswer: 2, 13, 54409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -249, -231, -207, -177, -141, -99?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1, o: 1, w: 1, n: 1, l: 1}. Give prob of picking 1 h and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 2*x. Let g(j) = -j. Let y = -17 - -34. Suppose 7 + y = 4*i. What is i*g(q) + 3*k(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36299, 36385, 36473, 36563, 36655, 36749, 36845?\nAnswer: 36943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 0. What is the smallest common multiple of z and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -14937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 439 = -104 + 250 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*b - 52 = 0, c + 3*c = 4*b - 36. Let v = 14 - c. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 54 = n + 3*c, -136 = -2*n + c. What is the remainder when n is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 38*n**2 - 29*n - 511. Calculate d(-19).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 2. Let b(c) = 9*c - 5. Let h(x) = -2*b(x) - 5*m(x). Let z(n) be the first derivative of -2*n**3 + 870. What is z(h(i))?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 3*r - 1420. Let b(i) = -12*i**2 - 5*i - 2839. What is -3*b(v) + 5*x(v)?\nAnswer: v**2 + 1417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 527 + -423. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123985 - -180180. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8727303*o**3 + 8458722*o**2 wrt o.\nAnswer: -52363818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3) + 6 + -4 + (2 - 24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*y**4 - 10274*d*y**3 + d*y**2 + d*y - 39*y**4 + 718*y**2 + 58*y wrt y.\nAnswer: 48*d*y - 61644*d - 936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.27 and 22\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30063600 times -0.07?\nAnswer: 2104452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122940045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43918980 and 336.\nAnswer: 175675920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5489 and 26447?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 0.5. Is v equal to 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:19 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + c**2 + 12 + c**2 - 4 - 7 + 160*c - 2*c**3 to f + u*c + s*c**2 + t*c**3 and give u.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -261*f - 41. Let n be u(-13). Suppose 3*t + 5*t = n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2 + 4685695*y + 14057130 = 0.\nAnswer: -3, 937142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 3. Let r be f(-10). Let z(h) = -h**2 - 7*h - 19. Let i(q) = 2. Let c(n) = -5*i(n) - z(n). Determine c(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4546724 = 80*o + 4543364 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53680.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/2 + 322*z + 51842 = 0. What is z?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - (-7 + 2)) + -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29701996 is divided by 1647?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 4*i**2 + 3*i + 1. Let p = 34 + -49. Let w be -7 + -1 - (4 - 2). Let o be (4\/(-2))\/(w\/p). Give u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.8. Let u = -31.43 - -31. Let g = u - -0.03. Sort 5, f, g in increasing order.\nAnswer: f, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 423 - 222. 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 1\/4? (a) 2 (b) 5 (c) -160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - -1122121?\nAnswer: 1111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13474 - 9444. What are the prime factors of p?\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(108)*-1 + 4 + -6*(sqrt(27) - (sqrt(27) + 1 + sqrt(27)))))**2*6*2.\nAnswer: -19152 - 8640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3115422 and 3942.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.02 + -4.52. Which is the nearest to -2? (a) 0.108 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -106 from 0.0045.\nAnswer: 106.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 838890.4mm?\nAnswer: 838.8904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - -7 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 42*r**2 + 181*r + 140. Give i(46).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 4. Let i = 0 + v. Let o = -2571 - -2570.8. Which is the second smallest value? (a) 0.12 (b) o (c) -0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**3\/6 + 5*w**2\/2 + 3*w. Let v be r(5). What is the units digit of (1 + (v - 0))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49062 is divided by 1112?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22994347*g**3 + 8038215*g?\nAnswer: 137966082*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3 - 3918*q**2 + 71253*q - 321732 = 0.\nAnswer: -1324, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78395 is divided by 101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 4*r = -68, -a - 3*r - 9 + 13 = 0. Let f = -5 - -7. Suppose f*k + 8 = -0. Let u(w) = -5*w. Let x(v) = 2*v. What is a*x(m) + k*u(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*p - 22, 18*p - 3*a - 16 = 16*p. Suppose p*q + 3*b = -3, -b = -5*q + 26 + 9. Solve 0 = 3*y - 4*s + 1 - 22, -y + q = -s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -6 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 - 20*f**3 + 44*f**2 + 132*f + 72 = 0.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m - 2. Suppose 14 = m*t - 1. Suppose -t*s + 2*s + 42 = 0. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*o - 2*o + 245 + 129 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g - 23675 = 10338. Let z = -712 - g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5274 and 90?\nAnswer: 26370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*o + 9 = -0*w, 11 = 4*w - 3*o. Suppose w*g - 16 = -2*g. Solve -g*x - 3*h = h, -4*x = h + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 + 15*w**2 + 35*w + 4. What is the hundreds digit of k(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*(-36)\/(-45). Calculate the common denominator of 2\/9*(w - -1) and 107\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + 5. Calculate the remainder when 113 is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 5. Let t = 10527\/8 - 1316. Sort 3\/7, o, t.\nAnswer: o, t, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-48 + 42 - (0 - 1 - 5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - (-20)\/6. Let g = 3 - y. Let h = -1065 - -33013\/31. Is h >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 4*p**2 + 8*p + 20. Let h be r(-5). Let o be (-234)\/(-45) - 1\/h. Solve 0 = -2*y + o - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 28*i**2 + 25. Let c be t(-14). Solve c*m + 24 = 19*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645924.\nAnswer: 2, 3, 19, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let y(w) = w**3 + w. Let b(r) = -3*r**3 - r. Let o(h) = p*y(h) + b(h). Factor o(v).\nAnswer: -v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-5)\/(990\/24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*n - 19*n - n**2 - 36*n - 11*n to p*n + v + f*n**2 and give p.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4023 or -4396?\nAnswer: -4023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 4. Let m(g) = -12 + 5 + b - g + g**2. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/13, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 30. What is the tens digit of c(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**0)\/(p\/(((((p*p*p\/(p**(-4\/7)\/p))\/p*p)\/p)\/p)\/p))*(p\/(p\/(p*p*p**8))*p)**(-7\/2) assuming p is positive.\nAnswer: p**(-503\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-315)\/12*(-800)\/3. Round y to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20640 - 20483. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/8)\/((-1)\/72748). Is ((-2)\/(-6))\/(13\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20 + 19 + 10\/18 + 1375\/1980. What is the nearest to -9 in -49, 5, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 21, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 30 + 11 = -2*g, 0 = 3*g + u - 12. Suppose g = -2*m - 7. Let c = -1 - m. Which is smaller: 21\/5 or c?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 2\/7 (b) 0.2 (c) -1 (d) 10 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:29 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 765 or -0.0599?\nAnswer: -0.0599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d + 4*t - 12 = 0, 3*d + 5*t - 9 = 0. Let n(a) be the second derivative of -1\/3*a**d + 0*a**2 + 0 + 4*a. Let w(v) = 2*v. Determine n(w(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.6 + -39. What is the third smallest value in t, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 2*l + 23 + 24 - 48 + 6*l.\nAnswer: 10*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1203 - 0.3203. Let z = -0.9 + -0.1. Which is the nearest to q? (a) 2\/9 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 1278*a + 1277.\nAnswer: (a + 1)*(a + 1277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-45))\/(t\/((t**(-2\/3)*t*t*t)\/t)) assuming t is positive.\nAnswer: t**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1000001010100001?\nAnswer: -1000001010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847232 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + k = -45, 18 + 47 = -5*d + 3*k. Let q = d - -21. What is the greatest common factor of q and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z + 31*z + 2399 - 2399.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1618 + 0?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 25. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -426*b + 405 wrt b?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 562*k + 1122*k + 387*k**2 - 559*k + 63*k**2 - 201.\nAnswer: 450*k**2 + k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21096, 20956, 20796, 20610, 20392, 20136, 19836?\nAnswer: 19486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -32*n**2 - 352*n - 40. Let u(o) = 11*o**2 + 117*o + 14. Calculate 17*u(h) + 6*v(h).\nAnswer: -5*h**2 - 123*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4*z**2 + 18*a**4 - 45*a**3*z**2 - 72*a**2*z**2 - 10*a**2*z + 2*a**2 - 7*z wrt a?\nAnswer: 48*a*z**2 + 432*a - 270*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2834 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/7 - 312236*n\/7 - 12186414962\/7 = 0. Calculate n.\nAnswer: -78059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*9\/7290*63\/105?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(5\/20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-46) + (-2 - -4).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*g)*(5 - 2 + 4)*(4 + 0 - 3)*(-g + 3*g**2 + g).\nAnswer: 105*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -94420\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2 - t - 1. Let l be n(1). Suppose -1506 = -16*a + l*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {v: 11, n: 1, u: 6}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 4. Suppose 34 = 3*l - c*p, 65 = 5*l - 0*p - 5*p. Let z(o) = o**2 - 18*o + 15. Is 6 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44 - -3.36. Let d = p + 1.2. Let s = d + -6. What is the third biggest value in -2, s, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -r + 3*x + 20, 0 = -r - x + 5. Let c be (1\/(-2))\/(2\/12). Is 5 a factor of (4\/r)\/(c\/(-75))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Let g(q) be the first derivative of 1 - 2*q + q**h - 1\/2*q**4 + 2\/3*q**3. Suppose g(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408221.8 millennia to months.\nAnswer: 4898661600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2 - 2*k + 2. Let i(u) be the first derivative of 1 + 0*u**2 - 1\/3*u**3 + 0*u. Calculate l(i(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 777703037 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 531909?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1\/16*y**4 + 6 - 1\/2*y - 3\/8*y**2 + 0*y**3. Factor d(q).\nAnswer: (q - 2)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1912050 and -19\/11340.\nAnswer: 34416900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 0, -3, 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*q + 40 + 28, -2*n = 57*q - 0*n + 2*n - 782 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, -0.2, -2\/7, 1\/6 in decreasing order.\nAnswer: 18, 1\/6, 0, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6325*l**3 - 6639*l**3 + 14347*l**3.\nAnswer: 1383*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 341582706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 - -2.4. What is the closest to 1 in 3\/4, 2\/3, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from ppjsaaakaaaaaks?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6976 - 0.02\nAnswer: -6976.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183211 is divided by 4841?\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13520 and 314.\nAnswer: -13206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7 - 43.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 2 + 8\/(0 + 2). Suppose -4*r + 7 = w, -3*w - 14 = n. Solve 5*b = 15, 7*p - r*p = -5*b + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 11.3. Let d = 9.8 - z. Which is the third smallest value? (a) -0.4 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2311*q**4\/4 + 847*q + 856. Find the first derivative of g(y) wrt y.\nAnswer: 6933*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**2 + 7*d + 4. Let g(h) = -h**3 + 4*h**2 + 3*h + 5. Let j be g(5). What is the tens digit of r(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15621, -15632, -15643?\nAnswer: -15654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 - 20968*w\/7 - 27478564\/7.\nAnswer: -4*(w + 2621)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*z - z**3 - 3*z**3 - 5 + 42*z**4 - 31*z in the form l*z**4 + n*z**2 + c*z**3 + y + i*z and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -8*y - 4, k - 81 + 82 = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/4 - (-15)\/12. Let c = -17 - -18. Suppose 20*i + c = 19*i. Sort 3\/2, l, i.\nAnswer: i, l, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 3:32 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 (base 13) in base 9?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196087 - -277744. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4*h)\/(h\/h**(6\/7)))\/(h*h**(-2\/7))**(-1\/7)*(h**(4\/5)\/h*h)\/h*h*h**(4\/7)\/h*h\/(h*h**(-2\/23))*h**(-3\/7) assuming h is positive.\nAnswer: h**(28113\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 + 3*v. Let w = 18 + -16. Suppose -3*p - m + 16 + 3 = 0, -w*m = -4*p + 12. Is 20 a factor of q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r - 37 + 37)*((1 - 3*r**2 - 1)*(-12*r + 12*r + r**2) - 2*r**4 - r**2 + r**2).\nAnswer: 45*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 - 13*u**2 - 13*u**2 - 15*u**2 + 13*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 8.3, -1\/2, -206, 4.5.\nAnswer: -206, -1\/2, 0.4, 4.5, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**4 - 3*w**2 - 8. Let l(t) = -36*t**4 + 8*t**2 + 24. Let v(x) = -3*l(x) - 8*o(x). Differentiate v(y) with respect to y.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) + (5 - 7\/3). Let b(r) be the first derivative of -18 - 4*r**2 + 3*r**z + 2 + 11*r. What is the first derivative of b(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 + 5*g + 2. Let v be m(4). Let r(j) = 3*j**2 - 6*j + 13. Let x be r(v). Let b = x - 29. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 848081251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 23 = -5*k, -s + 0*s + 13 = 3*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 4*b**4 - 2*b**4 + (171*b**3 - 44*b**4 - 171*b**3)*(-1 + 2 - 3)*(4 - 3 + 2).\nAnswer: 265*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1211? (a) 0 (b) -0.4 (c) 0.4 (d) 0.2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 35 + 5751*q**3 + 92 - 31.\nAnswer: 5751*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 1. Let z(f) = 2*f**3 - 3*f**2 - 2*f - 1. Let q be (-6)\/(-2)*10\/15. Suppose -8 = q*g - 0*g. Let t = -3 - g. Calculate t*z(w) - 3*o(w).\nAnswer: 2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 3*x + 1. Suppose 5*v = m + 4 + 11, -3*v = 2*m - 22. Suppose -u - 3*y = 2, 0 = y - 2 + m. Let s be h(u). Is 29 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 (base 10) in base 3?\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125920 or -804?\nAnswer: -804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 26*w**3 - 8*w**2 + 587. Let j(h) = 16*h**3 - 5*h**2 + 392. What is 5*b(u) - 8*j(u)?\nAnswer: 2*u**3 - 201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684618 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/9 + 8\/(-36). Suppose -c*d = -92 - 14. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from 0.101505.\nAnswer: 20.101505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 - h**2 + h**2 + (522*h**2 + 93*h**2 - 351*h**2)*(3 - 1 - 3) + (-1 + 3*h + 1)*(2*h - 2 + 2).\nAnswer: -262*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-11)*r*(((r*((r**5\/r)\/r)\/r)\/r)\/r)\/r*(r\/(r\/(((r\/(r*((r\/((r*r**(-2\/31))\/r))\/r)\/r*r*r))\/r)\/r)))\/r**(-3\/2) assuming r is positive.\nAnswer: r**(709\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1068802.206 to the nearest 10.\nAnswer: -1068800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -42. What is the second biggest value in 31, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/1260 - b**6\/240 + b**5\/60 - 3*b**2. Let u(w) be the third derivative of i(w). Find the first derivative of u(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 10 (c) 2.9 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 19 - 39*h**3 + 10*h**3 + 11*h**3 + 6*h**3 to the form l*h + f*h**3 + v + d*h**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 7*l**2 + 4*l - 9. Give o(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 47. Suppose 0 = -5*i - l*r - 195, 2*i + 2*i - 5*r = -192. List the prime factors of (-2)\/(-4) + i\/(-2) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -508*v**3 - 4*v**2 - 20*v - 20. Let r be j(-1). Solve r*s = 505*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0123 minus 0.09?\nAnswer: -0.1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -3*r, -4*r + 6*l - 10*l + 16 = 0. Solve 1 = -r*o + 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from qqhhhqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (4 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:49 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 41*i**3 + i**2 + 6*i - 6. Give h(2).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -540*f**3*q**5 - 25*f**3*q**2 + 99*f**3*q + 3*f*q**5 wrt q.\nAnswer: -32400*f**3*q**2 + 180*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6247.537nm?\nAnswer: 0.000000006247537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 14*q + 46*q + 2584 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 296?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(17) - (1 + 2*sqrt(17)))**2)*-6.\nAnswer: 24*sqrt(17) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24627980 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 42*y - 343.\nAnswer: (y - 7)*(y + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*b**3 + 18060*b**2 + 41*b - 13345080 wrt b.\nAnswer: 30*b**2 + 36120*b + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9058 and 864392.\nAnswer: 6050744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 22. Let b = z - 46. What is the remainder when 46 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 33*m. Let v(u) = -11*u. Let a(o) = -3*q(o) - 8*v(o). Let k(y) = -11 + 11 - 2*y**2. What is k(a(g))?\nAnswer: -242*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueuwwuwueeww. Give prob of picking 2 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1797 divide 14534336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (0 - (-5 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.64 - -0.64. Let w(v) = -v - 9. Let k be w(-13). Let l be (-8)\/(-10)*10\/k. Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from sxsaxsxxsmssd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, p: 6, x: 7, u: 4}. Give prob of sequence pupg.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p - 1 - 1)*(3*p**3 - 5*p**3 + p**3) + 2*p**4 + p**4 - 2*p**4.\nAnswer: 3*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/38*(-5 + 3)\/(-18). What is the nearest to -6\/13 in 0, d, 2.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 122376?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) 5 (c) 2\/13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 0 in descending order.\nAnswer: 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*p + 3346 = 3774 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a + 11. Suppose -c - c = 24. Let y = -8 - c. Let q(z) be the second derivative of -5*z**3\/6 + 2*z**2 + z. Determine y*b(p) - 11*q(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-11))\/x*x)\/(x\/(x\/(x\/((x*x**(-3))\/x)))) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*v, 3*b - 3*v + 9 = 0. Let g(q) = -500*q**2 - 9*q + 2. Let z(l) = 250*l**2 + 4*l - 1. Let d(n) = b*g(n) + 5*z(n). Is d(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323909654?\nAnswer: 2, 907, 178561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -694 (c) -1 (d) 0.11 (e) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 8\/39, -4, 3, -2, -0.51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 19*r + 19. Let l be i(-1). Suppose -l*q = d + 269 - 1036, -5*q = d - 960. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = 527*b - 581*b - 79 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(((-13366)\/164)\/(-163))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 82636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 197, 204, 225, 266, 333?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 - 428*y**5 - 1890*y - y**3 + 1830*y wrt y?\nAnswer: -8560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, x: 4, g: 4}. Give prob of sequence vvg.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 108 = -3*u - 103, 0 = 5*n + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 3. Let q be f\/(-15) + (-2)\/(-5). Let s be (0 + -1 + -2)*-1. Sort 1, s, q in ascending order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2001*p + 5976. Give s(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1309, 2646, 3983, 5320, 6657, 7994?\n\"Answer: 1337*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b - 16. Let u(x) = 3*x + 3. Let h(t) = -2*g(t) - 11*u(t). Let n = 4 + -5. Calculate h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 51\/2*q**2 - 3*q**3 - 113 - 42*q. Solve y(m) = 0 for m.\nAnswer: 1, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 7375.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 5 = 0. Suppose 4*r - 9 = -h. Let f be (2 - r)\/(-5 + 3). Solve f*g - 4 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*i**3 - 1564*d*i**2 - 22*d*i + 221*d wrt i?\nAnswer: 12*d*i - 3128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 3633922488043?\nAnswer: -3633922488042.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - g**2 + 2*g + 4. Let o be u(-2). Let h = 20 + o. Suppose q + 4*x + 11 = h, -8*q + 3*q - 3*x = 55. Are q and -11 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.238818508 to 5 dps.\nAnswer: 0.23882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Let g = 242.12 - 238. Let z = 0.12 - g. Put z, -3, y in decreasing order.\nAnswer: y, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1466\/10843 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7660 divided by -188?\nAnswer: -1915\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**10\/604800 + p**8\/80640 - p**5\/60 - p**2. Let j(z) be the third derivative of t(z). Factor j(m).\nAnswer: -m**2*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7595524297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 7*m**5 + 2*m**3 - 10*m**2 - m**5 + 10*m**2 + (-m**3 + 2*m**3 + 0*m**3)*(4*m - 4*m - 2*m**2).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let y(l) be the third derivative of 0 + 0*l**3 + l**2 - 1\/24*l**4 + 0*l. Give y(o(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(5 - (-81 - -5)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 300*t**2 - 3310*t - 269. Give u(138).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 112. Let r be (-24)\/(-11) + h\/209. Suppose r*k = 4*i - 15 - 61, 0 = -4*k + 16. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 180.96, -199.1 in descending order.\nAnswer: 180.96, 3, -199.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + q - q - q**2 - 19*q**2 + 5*q**2 - 3*q**2 + 2*q**2 + 0*q**2 + (-4*q + 5*q - 2*q)*(0*q + 3*q - 2*q).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24 + -30 + ((-6808)\/(-48))\/23)\/((-4)\/(-12)). Let 0*g**3 - 1\/4*g**5 + 1\/4*g + 0 - 1\/2*g**4 + k*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f*f*f*f\/(f*f\/f**2)*f)*f)*f))**(-9\/8)\/(f**(-1\/3)\/((f*f\/(f**2*f))\/f)) assuming f is positive.\nAnswer: f**(95\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 13 = 5*z, 5 = -2*f + 2*z + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 16*f**4 - f**2\/2 + f. Let g(z) = -21*z**2 - 8. Let d(v) = -26*v**2 - 10. Let q(b) = -4*d(b) + 5*g(b). Determine p(q(a)).\nAnswer: 192*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157914?\nAnswer: 2, 3, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/4 + 2*k**3 + 6*k + 23. Let h(r) = -3*r**3 + 13*r**2 + 13. Calculate 6*h(u) - 13*s(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6*o + 24806*d**3*o**3 - 59*d**2*o + 42*d*o**3 + 2*d - 4*o**2 wrt d?\nAnswer: 120*d**3*o + 148836*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 19*p - 22. Let w be a(-21). Is w < 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 + 20*b\/9 + 16\/3.\nAnswer: -2*(b - 12)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**5\/60 - p**4\/12 + 2*p**3\/9 - p. Find k, given that u(k) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -44. Suppose 3*k = -k - r. Let v(t) = t + 8. Let p be v(0). Sort 3, p, k in increasing order.\nAnswer: k, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 - (122262\/(-7) - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 + -314367.8?\nAnswer: -314367.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -237? (a) -62 (b) 3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o**11*((o\/o**(-3\/7)*o)\/o)**(-1\/3))**(-25\/6) assuming o is positive.\nAnswer: o**(1825\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/33 and -65\/1238772.\nAnswer: 13626492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -77, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7500 = 5*c, -4*c - 14*v = -10*v + 6000. Let g = c - -59961\/40. Calculate the common denominator of g and 30\/11.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.5 (c) -2\/3 (d) 0.01 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knak when four letters picked without replacement from aaawawakknawk.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 - 11*o - 2. Let p(u) = -6*u**3 + 41*u**2 + 56*u + 11. Let d(c) = -33*f(c) - 6*p(c). Factor d(b).\nAnswer: 3*b*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from atsaashssaas.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4 + 3*a - 1 - 4. What is s(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 - -140.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-30)*(-10)\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 15*b**2 + 8*b + 25. Is 36 a factor of y(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -1\/3 (c) -3 (d) 0.3 (e) 3323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 54 = 0. Suppose 2*v = -v + s. Suppose -2*t + 18 = -4*j, 7*t - 10*t + 2*j + 15 = 0. Sort 1, v, 2, t.\nAnswer: 1, 2, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204666225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-2)\/(-14)*1176\/(-11088)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*k - 17 = 0, 6*k = 5*n + 4*k - 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7741017968 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107 and 5?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27791.01 months in centuries?\nAnswer: 23.159175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 688\/5 - 138. Let z = 95 + -87. Suppose 4*h + 3*o - 5*o = -z, 2 = -h + 5*o. Which is the biggest value? (a) 3 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020361 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 g, and 1 h when four letters picked without replacement from zgwjjhwjzizizww?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29801423 to the nearest integer?\nAnswer: 5459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1769 and 6.7?\nAnswer: 1762.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 151.\nAnswer: -116\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 9*w - 10 = 0. Find the third derivative of -5*j**2 + 0*j**5 + 0*j**5 + 5*j**w wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 422088.\nAnswer: 422088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 15 - 503*p + 503*p.\nAnswer: -2*p**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4455200*0.3\nAnswer: -1336560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -1 - 271. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 4176*l**2 - 154224*l - 1399680.\nAnswer: 4*(l - 1080)*(l + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/175)\/(9\/42*-4). Is d less than 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) 75 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00609983202 rounded to six decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 186*d**2 - 55433*d + 1483. What is h(298)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -812.4 to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/4 - 80*s**4\/3 - 4601*s**2\/2 - 5281*s. Differentiate r(j) wrt j.\nAnswer: -15*j**2 - 640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000447934 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n**3 + n**2 + n. Let p be o(-1). Solve 5*j - 4*f = -f - 23, 2*j = 3*f - p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 14*l = 1008. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2298, 2339, 2410, 2511, 2642?\nAnswer: 2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 - 3*d + 2*d - 6*d. Suppose 3*h = 0, 0 = -5*w + 3*h - 23 + 38. Suppose w*b + k - 1 = 0, -4*b = -12*k + 14*k - 4. Give p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1217.999996826 + 1218. What is m rounded to seven dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 7*q**2 - q + 4. Give n(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a0 + 4?\nAnswer: -49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/16 and 77\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1468, -1478, -1488, -1498?\n\"Answer: -10*v - 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 274248912 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 + -14 + (-737)\/(-66).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.28 + -2.28. What is the closest to 2\/7 in h, 0.1, -28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 9. Calculate the remainder when 5 is divided by (1\/w)\/(3\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, 179, 4, -1\/6, -7 in descending order.\nAnswer: 179, 176, 4, -1\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1570, -14677, -36524, -67111, -106438?\n\"Answer: -4370*n**2 + 3*n + 2797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213378 - 90887 + 83789 = 216*z. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272.5 * -0.18387\nAnswer: 50.104575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.1. Let g = 11.3 + -11. Let t = -4.8 + 0.8. Which is the closest to j? (a) 2 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 - 13171*z + 131706\/5 = 0. What is z?\nAnswer: 2, 65853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24.5 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 (base 8) in base 12?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8822350 (base 9) to base 2.\nAnswer: 10010000100111011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*p = 352. What is the remainder when 85 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -60. Solve -32 = -y + l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0.4, 2, -42\/11?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16958 and 14?\nAnswer: 118706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*s. Suppose x = -4*y + 168, -s*x + 126 = -0*y + 3*y. Is 28 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4*v**2 + 5. What is the remainder when 18 + (4 - (2 + 2)) is divided by i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1112 and -101\/1946.\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -3\/2, -212?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/9 and -80\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhohhboh. Give prob of picking 1 r, 1 b, and 1 h.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1032000102 (base 4) to base 15\nAnswer: 64a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2915.6 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 59, 69, 95, 143, 219, 329, 479?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -148*w + 188 + 2180 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 109834.\nAnswer: 2\/54917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1516 divided by 4.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/30*4)\/((-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(272))*4 - 5*(sqrt(272) + 2 + sqrt(272)).\nAnswer: -24*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*v - 1586*v = -9120 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21842\/367 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*g - 36, 0 = 12*o - 9*o - 3*g + 27 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 12*h**2 - 10*h - 11. Let i be s(11). Solve i = b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - 0.16. Let d = 0.03 - q. Let t be 1 + (-3)\/((-27)\/(-6)). Which is the closest to d? (a) -3 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-984)\/36 - 18\/(-3))\/((-8)\/12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/sqrt(99) + (sqrt(110) + sqrt(110)*2)\/sqrt(10).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/(34\/51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/7 - -19\/21. Let q = 3 - 3. Find j such that 0*j**3 + q*j - l*j**4 + 1\/3*j**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -826, -6467, -21766, -51553, -100658, -173911?\n\"Answer: -805*w**3 + w**2 - 9*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6715469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbws when four letters picked without replacement from {s: 1, w: 2, r: 4, v: 2, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - 4\/(-20)*37. Solve -2*k + t + 0 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 486603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3735*g + 7461. Calculate d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 580*n**2 + 19216*n - 110080.\nAnswer: -4*(n - 172)*(n - 5)*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4999, 5003, 5007, 5011, 5015?\n\"Answer: 4*h + 4995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*d - 1181 + 5503 = 2305*d - 6703 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.19 (b) -0.3 (c) -1\/5 (d) -0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/23487111 and 59\/27?\nAnswer: 23487111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwwy when four letters picked without replacement from yzwycwyyz?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (2 - 6 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -18 + 16. List the prime factors of ((-80)\/(-10))\/(b - 0) + 42.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 42 - 2*a + a**2 + 4*a**2 - 2*a**2 + a as u*a**2 + x + g*a and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 7*t - 5. Let y be l(5). Solve -v = -y*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 13)*(-31*w + 19*w + 22*w) in the form v + q*w and give q.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -3 + -2 + 1. Suppose 3*v + 3 + t = 0. Let x be 1\/v + (4 - 0). Solve -w = -x*h - 2*w + 14, 2 = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 634715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -78*y - 133*y - 6 + 142*y - 85*y. Let f(o) = 2*o. Give g(f(j)).\nAnswer: -308*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 483 - 364.5. Let b = 118 - a. Let y = 30.5 + b. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481567.8mg in micrograms?\nAnswer: 481567800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*b - 17 + 3, -i = -b + 1. Suppose 0 = 2*o - 5*p + 12, -4*p - 57 = b*o - 5. Let m = 17 + o. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/5 (c) 1\/22 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 783463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3357321 and 3357320 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, t: 2, u: 1, z: 5, y: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -72.38, 1, -1\/7, 0.07, -4\/9?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*t = 88*t - 24. Let g be ((-40)\/(-5))\/(-2) - t\/(-1). Solve 4\/13*b**g + 0*b + 2\/13*b**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78418609 is divided by 16886?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57541 + 3970252\/69. Calculate the common denominator of (-528)\/(-864)*1\/(-4 - -3) and c.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 3*w**2 - w**2 + ((-5*w - 4*w - 4*w)*(-4 + 2 + 4) + 0*w + w + w)*(4 - w - 4) to the form f*w**2 + x + h*w and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 4, l: 1}. What is prob of picking 2 w and 2 g?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16839*99\nAnswer: 1667061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r - 172*r**3 + 3143*r**2 - 939*r**2 + 4*r**4 - 3094*r - 4094*r = 0.\nAnswer: 0, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from zztozttatzzozvtatozt?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 271*q**4\/2 + 2*q**3\/3 + q**2\/2 + 23*q - 3. Is x(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/6 - 7*t**2\/2 + t. Let d(v) = 2*v - 14. Let u(p) = 2*d(p) - 5*s(p). Suppose -4*y = 5*y. Determine u(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a (base 13) to base 4\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.5 * -725428.\nAnswer: -11244134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -12 + 4. Let t(f) = 3*f - f**2 - f**3 + 71 - 69 + 0*f**2. Calculate t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3502, 1874, -838, -4634, -9514, -15478, -22526?\n\"Answer: -542*s**2 - 2*s + 4046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -352*h - 143. What are the prime factors of y(-3)?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 less than -22.20190444443?\nAnswer: -47.20190444443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 3 + sqrt(3645)).\nAnswer: -4 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 34*f + s + 8 = -63, 2*s = -f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 158. Let a be g(31). Sort a, 2, 32 in descending order.\nAnswer: 32, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242*g**4 - 322*g?\nAnswer: -2904*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6761\/5 - 1348. Let k = 89\/20 - w. Let r be 5*(-10)\/(-450) + 34\/18. Which is the biggest value? (a) k (b) r (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72277\/4 > -22.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d. Let k(g) be the second derivative of -5*g**3\/6 + 12*g. Calculate u(k(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678868469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5782 - -13233. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7295062*p**3*x + 7*p**2*x - 91*p*x + 102*x + 4 wrt p.\nAnswer: 43770372*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 28 = -14*n. Let l be n*(6 - (-91)\/(-14)). Which is the biggest value? (a) 3 (b) -13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 45*l**2 + 141*l + 148. Let b be u(48). Solve 0 = -b*f - 5*c - 23, 17 = 4*f - 4*c + 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 4*p**2 + p - 2. Let q be i(-4). Let u(g) = 7*g**3 - g**2 + 8*g - 3. Let n(r) = -r**3 - r. Let w(j) = q*n(j) - u(j). Give w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - -92) + -25 + -8 + 1 + -90 + 0?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, e: 1}. Give prob of sequence mt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1*990\/131175?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59579 is divided by 8238?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(1008) + (sqrt(1008) + sqrt(1008) + -1 + 4 + sqrt(1008))**2 - sqrt(1008) - (5*sqrt(1008))**2*-4)).\nAnswer: 1080*sqrt(7) + 549400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26721*d**5 - 210*d**4 + 26345*d**2 - 5*d - 116.\nAnswer: -1603260*d**2 - 5040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5942, 11306, 16660, 21998, 27314, 32602, 37856, 43070?\n\"Answer: -l**3 + l**2 + 5368*l + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k + 4*k - 11*k)*(7*k + 8 - 7*k + k**4).\nAnswer: -18*k**5 - 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(1\/8). Suppose 2*d - 18 - 2 = -4*p, -2*p - 10 = -4*d. Suppose -z*o + 32 = d*v, 3*v - v = 2*o - 24. Solve -2*k = 4 - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053.88644 rounded to zero dps?\nAnswer: -2054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iicccciicccccc. Give prob of picking 2 i and 1 c.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4, -26*x = -4*z - 31*x + 21. Let v be (-150)\/4 - (-4)\/(-8). Let d = 64 + v. Calculate the remainder when d is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -636, -411, -26, 507, 1176?\n\"Answer: -2*o**3 + 92*o**2 - 37*o - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5\/2 + 13*g**4\/2 + 588*g**3 - 2566*g**2 - 1120*g = 0. Calculate g.\nAnswer: -16, -2\/5, 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -424*d + 17390. Calculate f(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 24 = -2*i + 4*v, -3*i + 19 = 5*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 3 + (-3)\/(-1). Suppose 2*v - h = 6. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5889 <= 2832666\/481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w + 2*w)*(4 + 0 - 1)*(-5 - 1 + 5)*(-134 + 134 + 16*w) as z*w**2 + t + m*w and give z.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0 - (-297)\/88)\/(0 - -3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8102920?\nAnswer: 2, 5, 7, 43, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 600 - 652.7. Let b = p - -50. Let s = b - -2.70055. What is s rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + 2 + -6 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.156717 to 2 dps.\nAnswer: 3.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/4)\/(1\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 = -31*r + 356 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229908 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 85, 172, 293, 448?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/(-6))\/(3008\/(-150400))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 418629*o - 3563055.\nAnswer: 418629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*w + 30, -21*v - 3*w = -24*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11298793787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33422 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.19, 839, -2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22 and -16167.\nAnswer: 3556.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -869.66647 and 0.0185667.\nAnswer: -869.6479033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 5*i - 4. Let l be h(-9). Suppose 6*g - 7*g = 2*q - l, 0 = 2*g - 3*q - 751. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181644 divided by -30274?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254383550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -29. Let q(n) be the third derivative of -n**4\/24 - n**3\/6 - n**2. Let t(p) = 5*p + 4. Give x*t(j) - 12*q(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 3*m**2 + 8*m - 4. What is y(-4)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20727174.8 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d*d*(d*d**(-1\/4)\/d)\/d*d*d))\/d)**(-24)*d**(-1)*d\/d**(-2\/5))**14 assuming d is positive.\nAnswer: d**(8008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26585 and 39?\nAnswer: 79755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 + 19*p**2 + 2 + 0 as g*p**2 + v*p + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = g - 24, 3*g - 6*q + 4*q = 56. Suppose -3*y = -5*d + 13, -3*y - g = -0*d + 2*d. What is the units digit of (-2)\/y*(1 - -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1364*k - 154. Let w(u) = -44*u - 5. Calculate 5*j(t) - 154*w(t).\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/95808 and -58\/181137.\nAnswer: 11592768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a factor of 1069959190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*q - 48 = -439*q, 3*q + 21 = -6*l + 9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 75 = 4*g - 2*y, 17 = g + 4*y. What is the remainder when 21 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/5 + 272*b**4\/5 + 2584*b**3\/5 + 8128*b**2\/5 + 8064*b\/5 = 0.\nAnswer: -126, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -948, -0.01, 0, -2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 16. Let v be o(-5). Find the second derivative of 28*h**3 - h**3 - v*h - 13*h wrt h.\nAnswer: 162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 3:47 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - 3*u**2 - 4*u**2. Let d(j) = -2 + 2*j + 2. What is d(x(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265955 and 2125166?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20658879.\nAnswer: 3, 109, 21059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/11 + 4300*s**4\/11 + 247072*s**3\/11.\nAnswer: -2*s**3*(s - 2206)*(s + 56)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 1*3*(17 + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.505318 rounded to 1 dp?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**3 - 2*c**2 + 33*c**3 + 9*c**3 - 2*c - 14*c**3 as a*c**2 + i*c**3 + f*c + z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6101829 is divided by 610?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -264.3?\nAnswer: -263.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s - 9*s - 20 - 44*s**3 + 11 + 8 wrt s?\nAnswer: -264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(325)*3 + sqrt(325))*-2 + 1)**2.\nAnswer: -260*sqrt(13) + 219701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1314350198 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 108309?\nAnswer: -2\/108309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 38*w + 2 - 8 + 6 to the form z*w + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa8 (base 11) in base 3?\nAnswer: 10122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19082?\nAnswer: 2, 7, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*69\/(-23)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.10064 rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3 - 662*u**2 + 0 + 26*u + 4 + 666*u**2. What is p(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 40*h. Let a(x) = -1357*x. Calculate f(a(n)).\nAnswer: -54280*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52408084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 25080?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 461822336*m**2 + 892627688*m?\nAnswer: 923644672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let r(n) = n**2 - 6*n + 16. Let a(b) = -14*q(b) + 2*r(b). What is c in a(c) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 207a - aa2?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858 a factor of 125294720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -649\/13 - -56515\/1131. What is the common denominator of 83\/42 and o?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6422*24.\nAnswer: 154128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179618 - -3783.9?\nAnswer: 1183401.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + (sqrt(99) + (sqrt(99) - (sqrt(99) + -2) - sqrt(99))*-1 - -2*(-1 + sqrt(99))**2)*1 + 2 + -3.\nAnswer: -6*sqrt(11) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3\/d)\/d**(-2\/7))**1 assuming d is positive.\nAnswer: d**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c*f**2*i**2*j + c*f**2*j + c*f*i**2*j + 3*c*f*i + 2*c*i + f**2*j - 18*f*i*j - 17*i**2*j wrt i?\nAnswer: -8*c*f**2*j + 2*c*f*j - 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(35) - (3*sqrt(35) + sqrt(35)))*-2 + sqrt(35))\/sqrt(7) + 3*sqrt(30)\/(sqrt(6) + (sqrt(6) - sqrt(6)*-4 - sqrt(6))))**2*-4.\nAnswer: -5776\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 50 (b) -1 (c) -67 (d) 5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/979104 and -4\/10323.\nAnswer: 108680544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -59. Let j(v) = v - 3. Let b be j(5). Suppose -2*q = 4, 0 = d - 5*d - b*q - 16. Is y != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46.1 times 460.09\nAnswer: 21210.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/410 - -1\/41. Let f(y) be the second derivative of 0*y**3 + 0*y**5 - 1\/4*y**4 + 2*y + 0 + m*y**6 + 0*y**2. Find the third derivative of f(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-6))\/(5\/15). Sort s, -2\/5, -1\/2 in decreasing order.\nAnswer: s, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 11. Calculate the remainder when (39\/(-2))\/(1\/(-2)) - 0 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -105178, -210351, -315518, -420679, -525834, -630983?\n\"Answer: 3*q**2 - 105182*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/1876)\/(289\/68 - 5)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((2 - (-36)\/(-16)) + (-195)\/130). Let 0*r + 27*r**3 - 12*r**2 + q*r**5 + 0 + 99\/2*r**4 = 0. What is r?\nAnswer: -4, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -566 + 1086. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 3\/5 (c) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 6*g**3 + 0*g**2 + 3*g**2 - 4*g**2 - 5*g**3.\nAnswer: -10*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 11:09 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/5, -1\/2701, -92, -0.2 in decreasing order.\nAnswer: 2\/13, -1\/2701, -0.2, -2\/5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*f - 24, -3*f + 1 = -a + 11. Let m be a*(7\/(-4))\/((-6)\/(-84)). Suppose 8*h = d + 5*h - m, 0 = -2*h - 4. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 - 149.3. Round c to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -315\/2 + 3*f + 1\/2*f**2 = 0. Calculate f.\nAnswer: -21, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 252539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 20 = -2*d, 5*m + 4*d = 8*d - 32. Let j(l) = l**3 + 9*l**2 + 8*l + 9. Determine j(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v - 3. Let a(q) = -q + 5. Let u be a(-13). Suppose u = -4*h - 2. Determine w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138364?\nAnswer: 2, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -96382, -17 in decreasing order.\nAnswer: -14, -17, -96382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 766886 to the power of 1\/2, to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-45))\/(6\/54)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011400942 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/84 - -1)\/(4*(-1)\/80).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blbb when four letters picked without replacement from {x: 3, l: 5, b: 3, j: 6}?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + o = -1, 4952*o - 4956*o = -u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1896, 0, 24 in descending order.\nAnswer: 1896, 24, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45171193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + f = 26, -3*s + 26*f - 19*f = 18*f - 286 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 20. Suppose -15*l + 10*l + s = 0. Solve -l*t - 4*v + 9*v = 12, t = 3*v - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 90\/14 - 1 - (-6)\/(-14). Solve 10 = -0*n + c*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2603?\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3088344 and 7347.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7200 and 462.\nAnswer: 554400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-60)*(150\/81 - 2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/8 - 2*w**2. Let t(z) = 2*z. Determine u(t(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g + 1. Let r(u) = 12*u + 2. Let n(d) = 3*r(d) - 5*t(d). Let b(l) = -6*l - 6. What is b(x) + 5*n(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1562 and 994.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-570)\/(-7))\/(4\/140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114)*-2)\/(sqrt(96) + sqrt(96) + sqrt(96)*2))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2451 and 873029?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266 - 253. Suppose -11 = -5*y - 2*n, n + 0*n - b = -5*y. Solve -6*l = -5*l + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4 - (11 + 110\/(-10))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**3\/6 + 13*t**2\/2 - 244*t. Give j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (62825\/28)\/(-25) - 19\/76\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 775340 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 6*v**2 - 7*v + 3. Suppose -5*t + 0*t + 10 = 0. Suppose t*k - 14 = 4*k. What is the units digit of y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/141528 and -71\/424584?\nAnswer: 424584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -81500 divided by 1?\nAnswer: -81500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y + 321. Let j be f(-42). Solve j*i + 93 = -15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 1, 1291, -4 in increasing order.\nAnswer: -4, -3, -2, -1, 1, 1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 3*w)*(4*w**2 - 3*w**2 + w**2) - w**2 + w - w**3 + w**2 - 39*w**2 + 5*w**3 + 37*w**2 + 3*w**3.\nAnswer: 11*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3430 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**4 - 5*i**4 + 4*i**4 + (-3*i**2 - i**2 + 6*i**2)*(0*i**2 - 2*i**2 + i**2) + 0*i**4 - i**4 - i**4 + (5 - 5 + 6*i**2)*(-3*i**2 + 5*i**2 - 4*i**2).\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 - 78\/(-15). Let y(c) = -c + 2*c + h + c + 4. Calculate y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 22099909.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -228*b + 3666. Give j(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178665037?\nAnswer: 19, 494917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 0 (b) 21 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302222 (base 6) in base 15?\nAnswer: -24aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60265244 to the nearest integer?\nAnswer: 7763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -2 (c) -4430\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464069 + -0.4748?\nAnswer: 2464068.5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56251003 (base 7) to base 14.\nAnswer: 90a8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141 times 2\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 8*y - 6. Let g be f(-6). Let t = -173 - -177. Suppose 0 = -t*r + 278 - g. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-4)\/(-70)*7 - -1. What is the biggest value in 1, 8, h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 25 - 36*o - 3*o - 36. Does 11 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 2*n**5\/5 + 29*n**2\/2 + 47*n - 53. What is the derivative of x(k) wrt k?\nAnswer: 8*k**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n + 58 = 2387 + 608 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1845 + -1786. Do c and 65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8935449 rounded to two decimal places?\nAnswer: -4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**5\/20 + 5*j**4\/12 + j**3\/3 - 2*j**2 + 34*j. Give z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 7:53 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 3. Let v be r(3). Let h = -360 + 357. Let d be (-4)\/6 - 2\/h. Solve v = -d*l + 2*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-94 + -3 + 4)*4\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 less than 22\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bcb - 6?\nAnswer: 2bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13347 plus 12516387?\nAnswer: 12503040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 4, i: 1, a: 1, u: 11}. What is prob of sequence usau?\nAnswer: 11\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*b = -2285015, -2*w - 401959 + 1315969 = -2*b. Round w to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 300.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -61. What is the units digit of ((-26)\/4)\/(3\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 257, 515, 773, 1031, 1289?\n\"Answer: 258*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26320 and 772960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - ((-15 - (17 - 5 - 24)) + -6 + -2).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2, -14, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276.9204 + 909.\nAnswer: 1185.9204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 30*q. Suppose q = -6*t + 26 + 10. Solve -t*l + l = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/(x*(x\/(x**(-1)*x))\/x))\/((x*(x\/(x\/(x*x**(-1\/22)\/x)*x))\/x)\/(x*x**(-4\/3))))**1 assuming x is positive.\nAnswer: x**(-5\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:36 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**6\/3 - 18*l**5\/5 - 13*l**4\/2 + 6*l**3 + 14*l**2 - 917. Suppose u(q) = 0. What is q?\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0 (c) 0.2296\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 147 = -3*f, 0 = 43*f + 48*f - 94*f - 6*n - 276 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - (-140)\/(-30). Let c be (u - -3)\/(4\/(-24)). Let t(m) = -m**3 + 7*m**2 - 7*m + 6. Calculate t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhshffshfsh. Give prob of picking 1 h, 1 f, and 1 s.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -231938 minus 15?\nAnswer: -231953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25648.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1, -22, -4\/3, -82?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (4 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 11. Let d be r(-5). Which is smaller: d or 5\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 18*p + 8. Determine m(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 + -150. Suppose -4*a = 2*v - 508, -5*v + p*v + 149 = a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 52, 149, 296, 499, 764, 1097, 1504?\n\"Answer: b**3 + 16*b**2 - 2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/15 - -13\/15. What is the smallest value in 2, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194961049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*b = -5 - 0, 3*z = 2*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6328, 6313, 6294, 6271?\nAnswer: 6244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:03 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1001 + 1030. Calculate the greatest common factor of 551 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d594 - -14?\nAnswer: d5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4416*j**5 - 8828*j**4 + 13256*j**3 + 35316*j**2 + 17632*j - 16 = 0.\nAnswer: -2, -1, 1\/1104, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -30221240?\nAnswer: -30221240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689, -10264, -39983, -97852, -193255?\nAnswer: -335576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x + 4. Let d(w) = w + x - 8 + 1. Let i be d(5). Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 60 = 3*r, 55*r = 62*r + 35 - 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -14 - 2. What is the closest to 0 in -4\/9, 5, a?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r - r + (-4 + 5 - 3)*(4*r + 2*r - 4*r))*(0*r - 3*r + 0*r)*(4 + 1 - 4 + (2 + 0 + 2)*(1 - 4 + 2)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -0.128 (c) 1\/4 (d) -278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485813869.\nAnswer: 19, 25569151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, 666, 2668, 6588, 13068, 22750, 36276?\nAnswer: 54288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - 6*o. Let h(g) = g**2 + g. Let q(a) = -2*a - 33. Let d be q(-15). Give d*h(b) - z(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 43*z. Let d(h) = -h**2. Determine d(b(f)).\nAnswer: -9*f**4 - 258*f**3 - 1849*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*k + 96*k - 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 957, 2050, 3277, 4632, 6109, 7702?\n\"Answer: -f**3 + 73*f**2 + 881*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 159. Solve -2*m = g*c + c + 14, 3*m = -4*c - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4 + 3906*f**2 + 2*f + 38186?\nAnswer: 8*f**3 + 7812*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 6*f. Let i(v) = -3*v - 2. Suppose -4 = -4*d - 28. Let j be 4\/d - (-116)\/12. Let c(h) = 13*h + 9. Calculate f*c(s) + j*i(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 4*i + 176 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 0*q)*(-29*q - 17*q - 10*q).\nAnswer: 112*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000066266 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q + 65. What is m(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 - 195*h**2 + 375*h - 185 = 0. Calculate h.\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001 (base 2) in base 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 5, 1858 in ascending order.\nAnswer: 2, 3, 5, 1858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23619)\/24516 - (-6)\/27. Let p = v - 2\/227. What is the closest to -2 in 0.3, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1885 or 1888?\nAnswer: 1885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5858 + 5858.06018. What is w rounded to 3 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 - 311. Let x = n + 250. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.31 and 17834.1.\nAnswer: 17833.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -31. Which is the fourth smallest value? (a) g (b) 1\/7 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -53 + 178*a**2 + 2 + 104*a - 175*a**2 - 27 - 29*a = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -293.\nAnswer: 9669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1390544)\/188365)\/(-466))\/((-4)\/10)?\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82221101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1. Let s = -1029 - -1093. Calculate the remainder when s is divided by (26\/4)\/(q\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + 2\/8. Let c = -14 + 19. Suppose b = q + q + 4*h, -18 = -c*q - 4*h. Solve 0 = g - o + 3*o - 5, -q = -2*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -9*l - 12. Let r(m) = -4*m + 2. What is the lowest common multiple of r(l) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*r = 153, 3*x + 3*r - 249 = 2*r. Let y be 90\/x*(-8)\/(-18). Let m = y + -1\/7. What is the nearest to m in -2\/7, 11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 50*i**2 + 33*i + 1. Let m be r(16). Which is the second biggest value? (a) 5 (b) -1\/6 (c) m (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1530180 divided by -5.\nAnswer: 306036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*q + d, 12 = 4*q - 25*d + 26*d. Let w = -37 + 38. Let b = 0 - -5. Put b, q, 4, w in descending order.\nAnswer: b, 4, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**1\/z)*z**(-5))**(6\/5) assuming z is positive.\nAnswer: z**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c - 13. Let u(y) = y - 2. Determine -4*u(o) + x(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 16}. Give prob of picking 2 j.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 3*l, 2*l = -4. Let y = 0 - -2. What is the remainder when j is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -577, -2718, -6423, -11692, -18525?\n\"Answer: -782*a**2 + 205*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-2)\/20)*3040. Suppose 15*s = 34*s - q. Is s a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3712136 - -5?\nAnswer: 3712141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 8)*(8\/(-14) + 1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -22220201110?\nAnswer: -22220201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10240811 is divided by 487657.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -4241, 14 in ascending order.\nAnswer: -4241, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -27206588 divided by -4\nAnswer: 6801647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -659086\/4821421 - -82\/4807. Let o = 2\/1003 + m. Let p = o + 48\/119. What is the closest to 1 in -8, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*((r*r\/(r**(-1)*r))\/r)\/r)**6)**(2\/39))**(-1\/49) assuming r is positive.\nAnswer: r**(-8\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1. Let s(h) = -5*h + 7. Let q(v) = -a(v) - s(v). Let z be q(8). Factor -16 + 4*n - n**2 + z - 16.\nAnswer: -n*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8586601.6*7.\nAnswer: -60106211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19 = 34. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -273?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.5 - 23. Put n, -0.2, 2\/15, 0.1 in increasing order.\nAnswer: -0.2, 0.1, 2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 + 2010*b - 184800 = 0.\nAnswer: 110, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*v + 0 + 6 - 7 + 939*v**2.\nAnswer: 939*v**2 + 63*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yzszziiivvvyll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.1227727 rounded to 1 dp?\nAnswer: -48.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29150)\/1875 + (-6)\/(-75) + 15.\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3)\/(-5 + 8\/(-2)). Let n be (-12)\/27 - (-2)\/3. Sort n, -16, b.\nAnswer: -16, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 8. Let i(k) = 6*k + 23. Suppose 7*n - 4*c = 22, 2*n = -355*c + 356*c + 7. Give n*i(q) + 17*g(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126572603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m = 4. Let q(o) = 50*o - 2. Let j be q(m). Let g be (-14)\/2*j\/(-14) + 0. Solve -4*y - 2*a = 18, -a - 4*a = 3*y + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 6*k + 0*k + 10 + 2*k**3.\nAnswer: 2*k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69473 less than 0.0034?\nAnswer: -69472.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 6*t + 108 = 9*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -13*v - 124 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258*(-8)\/384)\/(((-462)\/112)\/33)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**6\/70 + 9*u**5\/70 - 27*u**3\/7 - 243*u**2\/14 - 17*u. Let q(x) = 0. Calculate x.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25379 - -768?\nAnswer: -24b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q**2)*(2*q - q + q) + 5*q**3 + 2*q**2 - 2*q**2 - q**3 - 4*q**3 + 2*q**3 + (1 - 5 + 2)*(-2*q**3 - q**3 + 5*q**3).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2255, -1828, -1117, -122?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -s - 10 - 11, -3*s = 3*b - 27. Let n be (-15)\/6*((-48)\/(-20) - 4). Suppose -n*y = s*m - 107 - 97, -5*y = -3*m + 185. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14994633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/20)\/(6*(-3)\/(-12)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643, 327, 1925, 4139, 6957, 10367, 14357?\nAnswer: 18915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:19 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:55 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 5, -51, 6, 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 - 1277272*m**3 - 101969094084*m**2 - 815691444640*m - 1631342017600 = 0.\nAnswer: -159655, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*d**2 + d**3 + 367*d**2 + 8*d**3 - 152*d**2.\nAnswer: 9*d**3 + 28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -1337, -3711, -7835, -14165, -23157?\nAnswer: -35267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.7686 grams to nanograms.\nAnswer: 971768600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let g(l) = -9*l. Let b(p) be the first derivative of 2*p**2 + 1. Let q(v) = 5*b(v) + 2*g(v). Give q(c(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7173626 is divided by 21037.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a = 92*a - 601600. What is a rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -112, -114, -116, -118?\n\"Answer: -2*l - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s - 6. Let j = -128 + 1407\/11. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8812343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319 by -5719.\nAnswer: -319\/5719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/6)*u**(-8)*u**7*u**(-6)*u*(u*u\/(u*u\/(u**7*u)*u)*u*u**(2\/17))\/((u**(-1)\/u)\/u*u**(3\/5)) assuming u is positive.\nAnswer: u**(2219\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 12:23 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 16 - 11 - (-1 - 8) - 15 - 31.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34112915 is divided by 33977.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((2 - -1 - -3) + 8 + -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**3 + i**3 + 4*i**3)*((-1 + 1 + 1)*(0 + 2 - 1) + 3 + 2 - 3).\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - -73. What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444213 (base 7) in base 6?\nAnswer: 10415522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -786 - -4?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 + 4*j + 1. Let c be f(-5). Let u(g) = 3*g. Let x(h) = -25*h. Let m(p) = c*u(p) + x(p). Let k(t) = 5*t. Calculate m(k(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(11\/5)*l*l)*l*l*l\/((l*l**(-9\/5))\/l*l)*((l*l*(l\/(l\/((l**12*l)\/l)))\/l)\/l)**(-14) assuming l is positive.\nAnswer: l**(-842\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 136032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 3\/22 (b) -12 (c) -2\/5 (d) -5 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/27)*o**3*(o**(-39\/2))**(-50) assuming o is positive.\nAnswer: o**(26404\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75621 is divided by 162?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 23*j**6\/6 - 6*j**3 + 11. What is the third derivative of l(c) wrt c?\nAnswer: 1380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*j**3 - 4300 + 4300)*(84 - 40 - 38*j - 43).\nAnswer: -4180*j**4 + 110*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -5, -0.5, -6, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.27 - 0.27. Suppose 15 = -0*n + 3*n + 3*t, 5 = 2*n + t. What is the nearest to n in b, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 10*h**2 + 876*h + 19. Determine x(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/1003 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(78\/390)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/4 - 1107*x**3\/2 + 36*x**2 + 26472*x - 70848 = 0. What is x?\nAnswer: -738, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-8 + -5 + 29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**2 - 8*p - 6. What is the least common multiple of y(-11) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:40 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-169)\/(-39))\/((-2)\/(-6)). Let h(a) = a**2 - 16*a + 33. Let r be h(x). Let p(k) = k**3 + 7*k**2 + 6*k + 8. Give p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55605.\nAnswer: 3, 5, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 - x**2)*(x + x + 0*x) + 37737*x**2 - 652*x**3 - 37737*x**2.\nAnswer: -656*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2016 is divided by 498.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196\/5 + -40. Let k(f) = f + 2. Let b be k(2). Suppose -h + 1 = 2*n + 5, -2*h = -b*n - 8. Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3\/2*r**2 + 1\/3*r**3 + 1\/2*r**6 + 15 - 1\/2*r - 1\/10*r**5 - 3\/2*r**4. Solve m(f) = 0.\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 1346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -b - 4*b + 23, -2201*b - 4*r + 30 = -2199*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560 or 7296\/13?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 142. Let f(h) = -5*h**2. What is f(x(c))?\nAnswer: -20*c**4 + 2840*c**2 - 100820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 6 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 67*i - 18*i + 157 = -2*z + 17*i, -176 = z + 22*i for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -334*k**3 + 10*k**2 - 8*k - 5. Let z(d) = 501*d**3 - 16*d**2 + 12*d + 8. What is 8*g(n) + 5*z(n)?\nAnswer: -167*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 42*n. Let j be u(3). Suppose -4*z - z = -355. Suppose -19 = -5*i + z. Calculate the greatest common factor of i and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 2*w**2 + 2*w**2)*(-11 - 3*w + 11 + 11) - w**3 + 4*w - 4*w.\nAnswer: 8*w**3 - 33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 2*d**2 + d. Let y be k(-1). What are the prime factors of y\/5 + (-8721)\/(-85)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (((-28)\/(-6))\/(-2))\/(801\/3738)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/8 + (-4)\/(-16). Let o(q) = q - 1. Suppose -4*l - 21 = -5*m, 5*l = -5*m + l - 11. Let v be o(m). Solve -3*p + a*p + 12 = v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 963 divide 797097626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 235821329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = v - 2*d, -v - 6*d = -d - 12. Which is smaller: v or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.108 and -9.\nAnswer: 0.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - sqrt(76)*-1*5)\/(sqrt(144)*1) + (sqrt(19) + -1 + 5 - sqrt(114)\/sqrt(294)).\nAnswer: 4 + 13*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 1. Let u be m(9). Suppose -3*k + 5*p - u = 0, 3*k = -0*k + 3*p - 27. Let g = k - -8. Solve 2*b = -6, g*b + 15 = -n - 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00883500185 to 5 decimal places.\nAnswer: -0.00884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 6. Let r be z(6). Suppose 2*h - 3*f - 2 = -0*f, 5*h + 3*f - 26 = 0. Suppose r = h*t - 3*t - 20. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/58 + 81869\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 0*q**2 + 2*q**2)*(84 + 132 + 657 - 396 + 974) as g*q + y*q**2 + u and give y.\nAnswer: -1451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -950830 at most -950804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 759163459 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 12*v - 6. Solve 21 - v = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 7, -847, -0.4 in decreasing order.\nAnswer: 35, 7, -0.4, -847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 - 5. Let v(z) = -6*z**2 - 4. Let h(l) = -4*n(l) + 5*v(l). Let j(s) be the third derivative of s**5\/12 - s**2. What is j(h(r))?\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**5 + 46*c - 46*c - 4*c**5 + 3*c**5 + 2*c**5 + 4*c**5 - c**5 - 2*c**5 + (2*c + 20*c + 13*c)*(-2*c**4 - 2*c**3 + 2*c**3).\nAnswer: -74*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x + 39*x + 5*x**2 + 2*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5\/5 - 1578*x**4\/5 + 166872*x**3\/5 + 5735136*x**2 - 955067520*x + 7257676800 = 0. What is x?\nAnswer: -142, 8, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -102. Let l = -12 + a. Which is smaller: -0.4 or l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 4, z: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - -8) + -17 + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -174. Let z be (-2465)\/u - 16\/104. Let s = 21 + z. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -780556\/111 < -7033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 4*w**2 + w - 3. Give g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-25) - 232\/(-10). Let h = f - 4. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 2)\/(7\/(-126)) is divided by ((-10)\/(-3))\/((-1)\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.63 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 715111172 divided by -178777793\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 + 6*a - 7. Let w(g) = -17*g**2 - 17*g + 20. Let c(b) = 8*l(b) + 3*w(b). Let i = 722 + -484. Let d = i + -241. Give c(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyj when three letters picked without replacement from {r: 1, y: 4, j: 2, l: 1, e: 3, m: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.2 - 7.157. Let c = 0.0143 - a. What is c rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (30\/(-20) - 9).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 2*n - 3. Let l be h(3). Suppose -d + 3*v + l = 0, -v + 0 = 3. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2362 times 190?\nAnswer: -448780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggadaaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 17. Suppose -5*t = -4*t - 3. Let c = 3 - 1. Solve 3*s = c*k - 13, 3*k - a - 11 = t*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/600 + l**4\/60 + l**3\/12 + 23*l**2. Factor r(o).\nAnswer: -(o - 5)*(o + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -536 or -507?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/15 + 8\/165. What is the closest to 2 in t, -2, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 2*y + 48. Let f be j(8). Suppose 14*c - 2*c = f. Solve c = 5*n + 10 - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - 4 = -24*f. Find the third derivative of t**4 - 71*t**5 + 61*t**2 + 85*t**5 + t**f wrt t.\nAnswer: 840*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6236960 is divided by 2700?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 4, -5.\nAnswer: -5, -3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + -12 + -14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 272*q + 259. What is the thousands digit of r(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let l be (-4 - -8) + 0 + 0. Suppose -4*y + 29 - d = 5*z, -2*z = -l*y + 6. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-47 - -50) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 390*b**2 - 179349*b + 27579636.\nAnswer: 3*(b - 191)**2*(b + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 2560*l**3 + 21*l.\nAnswer: 2560*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2124935 is divided by 40093.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:28 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 2*m + 2. Let h be u(0). Calculate the remainder when ((-3)\/1 + h)*-9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:31 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + -6 + -6 + 5 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4226.333t?\nAnswer: 4226333000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + q - 3, -2*y - 4*q - 4 = -16. Let w(i) = -9 + 0*i - i + y*i. Let j be w(-9). Solve -34 = -5*a - 3*d, -3*a + 2*d = -j*d - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11891 - 11552. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -15. Let h = r - 10.1. Sort 1, 0.2, h.\nAnswer: h, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 + 0?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 669513*n + 669516.\nAnswer: -3*(n - 223172)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i - 41*i = -16*i + 684 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49812716.3 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/20901 - 1065727\/1170456. Calculate the common denominator of 55\/14 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -31 + -115 - -150?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302062 (base 9) in base 2?\nAnswer: -101011100111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 382670911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -18 (b) -0.1 (c) 4 (d) 236 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + n**2 - 3*n**2)*(-3163 + 1208 + 5520 + 18210 + 7820) as m*n + u + d*n**2 and give d.\nAnswer: -29595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in -3, 18, 4, -1\/8, -0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 + 88920916*d + 1976732325569764 = 0.\nAnswer: -44460458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304, 3, -4\/5 in increasing order.\nAnswer: -4\/5, 3, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*o + 23 = 0, 1290*m - 1294*m - 4*o - 16 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o + 360. Let a be ((-2)\/6)\/(2\/o). Calculate the highest common factor of 48 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:44 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5085956mm in centimeters?\nAnswer: 0.05085956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 8 + 7 - 28. Let f(a) = a**3 + 17*a**2 - 2*a - 24. What is f(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -535 - 71. Let r(w) = 38*w**3 - 4*w**2 - w + 3. Let a be r(-3). Let b = a - n. Round b to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (292 - 0\/(-1))*1. Let g = x - 6134\/21. Do -10 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*h - 155, 10*h - 105*t - 330 = -110*t for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 2*s**3 + 9 - 10*s**4 + (3*s**2 - s**2 + s**2)*(s**2 - s**2 - s**2) - s**2 + 2*s**4 + s**2 as p*s**3 + u*s**2 + d*s**4 + t*s + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 386881364106 and -0.2845?\nAnswer: 386881364106.2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5\/3)*i*i**(-6)*i)\/((i*i**(1\/5)*i*i*i)\/i**(3\/7)))**(-16\/7))**(-32) assuming i is positive.\nAnswer: i**(-507392\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1965899, -1965897, -1965895?\n\"Answer: 2*j - 1965901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -95*b**2 - 111. Let t(p) = 48*p**2 + 55. Let u(n) = 3*f(n) + 5*t(n). What is the first derivative of u(y) wrt y?\nAnswer: -90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 12*p**2 - 6*p - 6. Determine z(-13).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -150.\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214*-15727.\nAnswer: 3365578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 2.7. Which is the closest to 0.1? (a) 0.1 (b) -3\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*z. Let o(u) = -2*u - 4. Let n be o(-3). Solve 0*l**4 - 3*l**3 - 4*l**2 - z*l**5 + 4*l**n - 6*l**4 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4836 and 17732?\nAnswer: 53196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 - 0.43.\nAnswer: 2.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**8\/1008 - y**7\/315 - y**6\/120 + y**5\/45 + y**4\/18 - 5*y**2. Factor j(x).\nAnswer: x*(x - 2)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, -4, 79, 2 in ascending order.\nAnswer: -9, -4, -2, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/17)*s)\/s*s*s**8)\/(s**(8\/5)\/((s*s**(-5)*s*s*s)\/s)) assuming s is positive.\nAnswer: s**(469\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 2\/29 (c) -2 (d) 181 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 + -76. What are the prime factors of s?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(55\/(-22))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3. Let g(n) = -21*n**3 + 3*n**2. Let h(z) = -2*g(z) + 14*s(z). What is the third derivative of h(m) wrt m?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 326*r + 332. Calculate m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -9. Let d(k) = 9*k**2 + 5*k + 5. Let u(n) = -5*n**2 - 2*n - 2. Let c(o) = l*u(o) - 2*d(o). Let h(j) = -j. Determine h(c(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 != 4895\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 276, 586, 922, 1296, 1720?\n\"Answer: 2*r**3 + r**2 + 293*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68379682?\nAnswer: 2, 7, 4884263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -587*j**6\/6 + 2339*j**3\/2 + 7796*j. What is the second derivative of l(v) wrt v?\nAnswer: -35220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -101, -167, -269, -413, -605, -851?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 969963948 and 18?\nAnswer: 969963948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233020 + -122?\nAnswer: 1232232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.3302 centimeters to nanometers.\nAnswer: 43302000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = c + 15, 4 = 2*b - 0*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067 and 1556753.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1243529 and 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/108)\/((-1)\/9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/25 (b) -0.01 (c) -6\/11 (d) 172 (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3)*(2 + 4 - 5)*(n + n**4 - n).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56061509 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/3*5\/(-25). Let m = 3 - 1. Let r = -6.59 - -6.39. Which is the nearest to t? (a) -4 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 79.43. Let z = 0.63 - l. What is the smallest value in 2, 3, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 7:11 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 - -1) + ((-8720)\/880 - 2\/22). Suppose -3*y + 6*y - 8 = -l, 0 = 5*y - 5*l. Solve y*x + m = 4, -3*x + x = 3*m - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 839349.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + 3. Let f(i) = -6*i - 21. Let d(s) = s + 4. Let b(x) = v*d(x) + 4*f(x). Let j(q) = 2*q. Give b(j(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -424 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1590, -1680, -1796, -1938, -2106, -2300, -2520?\n\"Answer: -13*q**2 - 51*q - 1526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1313, 2\/11, -12\/11, 2?\nAnswer: -1313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d + 3. Let u = -5 + 10. Let c(v) be the third derivative of v**5\/60 + v**4\/6 + v**3\/3 - 88*v**2 - 3. Give u*c(h) - 4*q(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 49921.651 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 0*d**3 - 2*d**3 + (-902*d**2 + 575*d**2 - 842*d**2)*(0*d + 3*d - d) as n*d + t + j*d**2 + o*d**3 and give o.\nAnswer: -2339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -102*o. Let i(l) = -10*l**2. What is i(g(n))?\nAnswer: -104040*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 3*z + 3*z + (-7 + 4 + 2)*(-5*z**2 + 4*z**2 + 0*z**2) - 2*z**2 + 4*z**2 + 20*z**2 to m + q*z + o*z**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 5*l + 0*l**2 + 1\/3*l**3 + 0 + 1\/6*l**4. Find f, given that o(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*w**3 - a**2 - 24*a*w**5 - 5*a*w + 24*a - 8*w**3 + 2*w wrt w.\nAnswer: 24*a**2*w - 480*a*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.0844, 1\/33, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8472539323 to the nearest integer?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/13 (b) -3 (c) -0.5 (d) 0.504 (e) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -612762 + -40?\nAnswer: -613022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-14\/3)*l**(-2\/29)*l**(-2\/21)*l*l**5\/l assuming l is positive.\nAnswer: l**(103\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1457101 and 0.08?\nAnswer: 1457101.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/195 and 58\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272 - -274. Let n(r) = -1 + 0 - 4 + l*r + 3. Let m(h) = 2*h - 2. Calculate 5*m(o) - 6*n(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 182 - 157 + 380 as s*j + a and give a.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13060.\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 197779781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {h: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 + z**3\/2 - 4*z**2. Let o(h) = 3*h + 1. Let f be o(1). Give y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8568 + -5657. List the prime factors of r.\nAnswer: 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f + f - 36*f - 6*f. Let d(u) = -2*u. What is d(o(t))?\nAnswer: 82*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 124 in 4, -0.1, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-5 - 0) + 4 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -657563, -657564, -657565?\n\"Answer: -d - 657562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 - 35.7. What is d rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 128798683 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/120 + 3*d**5\/20 + 5*d**4\/12 + 8*d**3\/3 + 573*d**2. Suppose -56 - 24 = 10*y. Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)**(-50))**(21\/5) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -5. Suppose -16 = -5*n - u. Factor 12*y**2 + 2*y**3 + 18 + 0*y**n - 2 + 24*y.\nAnswer: 2*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(3\/(-27)). Suppose 2*m - 22 = 5*y + 91, -3*m + 3*y = -147. Let b = m + -41. What is the highest common factor of k and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1816157 - 10\nAnswer: 1816147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -189\/71?\nAnswer: -189\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/5)*b\/(b*(b**(-5)\/b)\/b*b)*b)\/((b**5*b)\/b**(-3)))\/(b**(3\/2)\/b*b**(2\/13)\/b*(b**(2\/3))**(-6\/7)) assuming b is positive.\nAnswer: b**(-1713\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.059 > 405667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 638*f**4 - 13*f**2 + 11*f**2 - 35*f**4 + 2*f**3 - 17*f + 11*f to the form d + r*f**2 + w*f**4 + q*f + p*f**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 11223?\nAnswer: 11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20489 - 18786. Calculate the remainder when t is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7333, 29348, 66039, 117406?\nAnswer: 183449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, q: 9, a: 1, m: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, o: 2, s: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1832 + 1127. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2224*f - 603 = -2233*f. Let a = 338 + f. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96\/539 + -2\/539. Suppose 0 = -m + 3 - 0, 5*c = 5*m - 1220. Let t = c - -1690\/7. What is the nearest to f in -2\/11, 3, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/4 (c) 5573 (d) -0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + 10350\/48. Let g = 3369\/16 - w. What is the common denominator of 81\/20 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 + 446*b**3 - 349.\nAnswer: 446*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/6)\/8*(-27)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -8493.6\nAnswer: 4246.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731480715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11533750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, -7\/4, -2\/135, -10, 3\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-18)\/(-7) + 16\/70. Let d = 409 + -414. What is the closest to i in 2\/3, d, 3\/4, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1050)\/(-20))\/(-21)*(-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 5\/19 (c) 4 (d) 2 (e) -28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -41.\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -181, -352, -527, -706, -889, -1076, -1267?\n\"Answer: -2*v**2 - 165*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.095056851\nAnswer: 0.0475284255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 4527\nAnswer: 18108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2112032?\nAnswer: 2112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -583*m + 112521. Give h(193).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 421 - 294. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 132*s**3 - 136*s**2.\nAnswer: 4*s**2*(s - 34)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 5*k**2 - 8*k - 7. Let d(u) = -u**3 + 3*u**2 - 2*u. Let q be d(3). Let z be m(q). Suppose -z*r + 18 = 3. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 greater than or equal to -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((j**3 - 6*j**3 + 3*j**3)*(2 - 2 - 2*j) + 1675*j**4 - 4080*j**4 + 1686*j**4)*(4 + 0 - 2) to d*j + z*j**2 + q*j**3 + r + k*j**4 and give k.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37 - -910104?\nAnswer: 910105.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from vppppvq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/20, 146, 14261 in decreasing order.\nAnswer: 14261, 146, -9\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*z - 2 = 0, -6783*w = -6785*w + 3*z + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2916 (base 13) to base 8\nAnswer: -13456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z - 143*z = -3*m + 18, -m - 4*z = 2*m - 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*o + o + 20, m + 4*o + 13 = 0. Suppose -m*p + 80 = -2*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 - 83*i**3 + 18*i**3 + 19*i**3 + 23*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 13*b**6\/5 + 308*b**5\/25 + 74*b**4\/5 - 16*b**3\/15 - 109. Factor f(m).\nAnswer: 2*m**2*(m + 2)**2*(39*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1427 + 0.13. Let d = 17.018 + -17. Let s = t + d. Round s to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13)**19 assuming u is positive.\nAnswer: u**247","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55412 and 84.\nAnswer: 166236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 856 and 50493407?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s + 6*s + 90 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 40*g + 4. Give w(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754462 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-40 + (39 - 9)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(500) + sqrt(500)*-5).\nAnswer: -sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m - 212142 = -213078 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/12 + 2*o**3\/3 + 3*o**2\/2 - 13*o + 10. Give n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263837508*r**2 + 263837496*r**2 + 0 - 2 + 2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*f**3*k + 4537317*f**3 + f**2*k + 17418*f*k + 5*k wrt k?\nAnswer: -4*f**3 + f**2 + 17418*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 1. Let p(q) = q**2 + 2. Let a(y) = 2*k(y) + p(y). Let h(w) = 10*w**2. What is a(h(c))?\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 1. Let v = -5 + u. What is the second derivative of -7*c**4 + 4*c**v - 2*c + 0*c**4 wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 + -1)*(-12 - 124\/8*-16) and 130?\nAnswer: 15340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w + 73. Let n be a(19). Let q(m) = -m**3 - 13*m**2 + m - 9. Let t be q(-13). Is n greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.114678868?\nAnswer: -2.114678868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 4, 2\/9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 9\/4 (c) 60940.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -190\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9261673 centuries to years.\nAnswer: 92.61673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:48 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:40 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13ed (base 16) in base 8?\nAnswer: -11755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -4 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 6*i - 4. Let p(d) = d - 1. Let q(o) = -3*p(o) + r(o). Suppose 0*s = 5*s. Let z(a) = s + a - 5 + 4. What is -q(h) + 3*z(h)?\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3846 + 2244. Let b be 8*5*8\/(96\/o). What is b rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2) + -10 + -1. Let c(t) = t**2 + 114*t - 10444. Let u be c(60). Put -3, a, -1, u in ascending order.\nAnswer: a, u, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*(-20)\/416*8.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -172 - -444. Calculate the remainder when x is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 83746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2. Let m(s) = -72*s - 703*s - 391*s - 287*s. What is m(i(p))?\nAnswer: -5812*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, 61, -4, -16, 5, -3 in increasing order.\nAnswer: -16, -5, -4, -3, 5, 23, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x = 112*x + 23*x - 3374 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -0.6, 0.03, -1\/4, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34202508937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.22 - 4.51. Let h = v + 1.3. Let z = 0.11 - h. Which is the third smallest value? (a) 5\/2 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 5*b, 5*p = -2*b - 0*b + 44. Solve p = 4*w - 2*w - 3*o, 4*w + o - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x - 1453. Let s be o(-182). Put -1, 1, 145, s, -3 in decreasing order.\nAnswer: 145, s, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = -p, 4*p + 0 = -4*k - 4. Sort 2995, -2, k in descending order.\nAnswer: 2995, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*b - b**2 - 35*b + 3 - b**3 - 7 as l*b**3 + w*b**2 + m*b + t and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*r = -12, -r = d + 4 - 1. Let o(h) = -33*h - 8. Let y(u) = -11*u - 3. Let v(x) = d*o(x) + 8*y(x). Let b(p) = -2*p**2. What is v(b(s))?\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 9 = 2*n. Calculate the smallest common multiple of 0 - n - 4\/4 and ((-132)\/88)\/(3\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 812879\nAnswer: 20\/812879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let f(r) be the first derivative of 0*r**3 - 16 + 1\/8*r**4 - 6*r**2 + 0*r. Let h(k) be the second derivative of f(k). Calculate w(h(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/((-2)\/(-2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 - 3*r. Let d be q(-2). Let c(l) = 0 + l - 1 + d. Let u be c(-2). Is u equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 679 and 76339?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**4 - 22*a**3 + 30*a**2 - 8*a - 22. Let z(y) = -y**2 - 1. Let k(x) = -t(x) + 6*z(x). Factor k(b).\nAnswer: -2*(b - 2)**3*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/((-285)\/38)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/1940 and 13\/500.\nAnswer: 48500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 5631*h**2 + 2 - 2958*h**2 - 3061*h**2.\nAnswer: -11650*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23206)\/(-11603))\/((-1)\/(16\/14)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 125 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 8683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) 4 (d) 26 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57300 and 5265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t, -4*q + 3*q + 4 = -2*t. Suppose q = -6*x + 8*x - u + 1, -2*u = -5*x. Suppose 0 = 4*c + 3*n, -4*n + 3 = 5*c - n. Solve 3*r - c = x*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 2*t**2 + 2*t + 10. Let g be k(0). Let a = -4 - -7. Solve a*i = -g - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 7) to base 9.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -743201420 by -5.\nAnswer: 148640284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4be4 (base 15) in base 14?\nAnswer: 5c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-9)*6\/(-4) - -2. What is the tens digit of 53 - ((-4)\/l)\/(7\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f - 315633 - 246236 = -12*f. Calculate the remainder when f is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203011210 (base 6) to base 13.\nAnswer: 957597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -266089400 rounded to the nearest 100000?\nAnswer: -266100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 11*r**4\/6 - 29*r**2\/2 + 16*r + 21. Let u(f) be the first derivative of b(f). Differentiate u(c) wrt c.\nAnswer: 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + (-767)\/(-65))*(1 - 2\/(-2))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -4*w + 2, 4*w + 19 = -3*a. Let z(h) = h**2 - 3*h + 2. Let l(p) = 2638 + 5*p + 2644 - p**2 - 5285. What is a*z(b) - 3*l(b)?\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -4*r + 462. Let c = 50 - r. Suppose n + c = 23. What is the greatest common divisor of 6 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -835 + 3865. Let i = y + -60679\/20. Calculate the common denominator of i and -107\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -103?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 - 5*z - 16. Let p be r(6). Does 14 divide (p\/6)\/(6\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -67*c**2 + 2*c - 19. Let m(k) = 3*k**2. Determine h(m(b)).\nAnswer: -603*b**4 + 6*b**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*s = -11, -5*k + 3*k + 10 = 4*s. Let c(p) = -9*p - 21. Let r be c(-4). Let n = r - k. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 20*w**2 + 8*w - 14. Let i(z) = z**2 - z - 1. Let t(h) = 8*i(h) + p(h). What is the derivative of t(q) wrt q?\nAnswer: 56*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.6 + 15.7. Let o be (-4)\/15*(-6)\/(-4). Let d = 2 - 2.2. What is the nearest to i in o, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21053122 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: What are the prime factors of ((-9)\/((-54)\/20))\/((-2)\/(-279))?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-10) + (4 - 2). Solve 6 + 2 = -n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110110110011010 (base 2) to base 5\nAnswer: -3421301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337 - 487. List the prime factors of ((-112)\/(-21) + -6)\/(4\/m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -470\/31 at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249133111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - w - 8, 2*w = -5*s + 3*s - 4. Let m = -3 - s. Let t be m\/(3\/3*-1). Solve 4*i + 3 = -4*y - t, -3*i - 11 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -1, 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - o. Calculate h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyyyyyccyyyyyyyyc. Give prob of picking 3 y and 1 c.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 189*v**2 - 82*v - 1198. Does 8 divide h(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2)\/(-3))*21\/(-9)*2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135325186, 135325188, 135325192, 135325198, 135325206?\nAnswer: 135325216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2941325 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.045439 and -178111.\nAnswer: -178110.954561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**2 + 1676*o - 383. Determine x(186).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 71, -2, -19?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -8602235 and -8602241 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 409 - 1736 = 0. Calculate the least common multiple of 2 and w.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96888.3363 milliseconds in weeks?\nAnswer: 0.00016019896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18141 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90 + 182 + 155)*(4 + 0 - 3)*(-q + 0*q - q) as g + w*q and give w.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 + g + 3. Let q be x(0). Let u = -28 + -46. Let w be u\/(-12) - (0 - -6). Sort 2, 2\/15, w, q in decreasing order.\nAnswer: q, 2, w, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/28*4\/(-3). Let f(r) = -38*r + 25. Let c be f(p). Does -53 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-4\/5)))\/(j*(j\/(j\/j**2))\/j))\/(j**(2\/15)\/j*j\/(j*j\/(j*j**(2\/19))*j)*j*j))\/(j**(2\/3)\/j**(-2)*(j**(-1\/3))**10) assuming j is positive.\nAnswer: j**(-676\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21538518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -64*q - 49. Suppose 3*b - 5*f = -106, -b + f - 39 = 3*f. Is v(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 512 - 503. Suppose -i = 5*d - 60, 4*i = m*i - d + 48. What is the greatest common factor of 180 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (3*(sqrt(16) + sqrt(32)\/sqrt(2)) - sqrt(16))\/(sqrt(96)\/sqrt(108))).\nAnswer: -90*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1*(-1 + (-2 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2356 and 2\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 12796.\nAnswer: 511840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, -9, -53, -121, -213, -329?\n\"Answer: -12*l**2 + 16*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103\/91 + 11\/13. Let n = -0.04 - 0.36. What is the closest to q in n, 1\/6, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w**3 + 5*w. Let k(f) = 38*f**2 + 17*f**3 - 79*f**3 + 774*f - 790*f - 38*f**2. Calculate -16*c(p) - 5*k(p).\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 893*g**2 - 75805*g + 3978. Determine p(-798).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 4. Let c = 1 + a. Solve -2*s = -c*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -0.03. What is the second smallest value in 4, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -274*r + 278*r. Calculate the least common multiple of r and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 236.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 1, o: 1}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*m + 42*m**2 - 18*m + 86*m - 2*m**3.\nAnswer: -2*m**3 + 42*m**2 + 135*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 13*l**2 + 27*l + 4. Let b be r(-2). Solve -z + 3*u - 6*u = -b, -3*u = 4*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Solve -2*q = -o*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) 0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 7*u + 4. What is i(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8469*k - 1669. Is s(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - (-57 - (124 + 11)) - (2 - 7).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 2597.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**3\/3 - y**2 + 9*y - 15. Let v be j(5). Calculate the highest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzzzjazazzaajjajaj. What is prob of sequence jaz?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -45*i - 397. Let l be w(-9). Solve -l*g = -3*g - 5*z + 35, -2*z = -3*g - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -65. Solve 3*z = -5*o + 34, -x*z = -2*o + 6*o - 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Let i(c) be the first derivative of 1\/4*c**4 + k + c**2 + 0*c - c**3. Suppose i(y) = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10349360 divided by 28.\nAnswer: -369620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 560842 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 87*a**2 + 5 + 88*a**2 to the form f*a + s + u*a**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a**2 + 1 + 7*a**2)*(4*a**2 + 2*a**2 - 5*a**2 + (-2*a - 2 + 2)*(4*a - 3*a - 2*a) + 129*a + a**2 - 129*a).\nAnswer: 20*a**4 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/51787 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 + -502052?\nAnswer: -502261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12644367 divided by 19.\nAnswer: -665493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*i - 8, 2*n - 11 = i + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 7*f**2 - 39*f - 12. Is r(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -3*p - 3, -4*n - 20 = -5*p. Suppose -s = 3*c - 0*s - 34, p = 5*c + s - 54. Calculate the highest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:01 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27816, 55633, 83430, 111207, 138964, 166701?\n\"Answer: -10*f**2 + 27847*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/4 - 2*m**2 + 2163*m. Let v(b) = -61*b**2. Give w(v(q)).\nAnswer: 11163*q**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(3 - 1 - 1)*(5*d + 3*d + 182 - 184).\nAnswer: -16*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99867 or -99866?\nAnswer: -99866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10906, -10903, -10898, -10891, -10882, -10871?\n\"Answer: l**2 - 10907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + sqrt(432)*3 - (-2 + sqrt(432) + -4 + sqrt(432) - sqrt(432)))*6 + -3)**2.\nAnswer: 17568*sqrt(3) + 65929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*6\/(-72)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 + 31. Let t = -84 - z. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 161*b - 42. Let m be n(54). Let a(l) be the first derivative of -3*l**3 - m + l**2 + 7\/4*l**4 + 0*l. Determine v, given that a(v) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 - 1422905*t**2\/2 - 506163948303*t\/2 + 506165371209\/2.\nAnswer: -(t - 1)*(t + 711453)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g + 1. Calculate the lowest common multiple of 1 and b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(24\/5)*5280\/41800?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/10*1*1050\/(-210)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 + 95 = -4*z - 5*j, 355 = -3*z - j. Let k = -27 - z. Let t = -52 + k. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-22)\/(v\/v**10))\/(v**3*v**(-6\/5)))**(-46) assuming v is positive.\nAnswer: v**(3404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 0, 3*a + 2*w = 7*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10375 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o)**(1\/13) assuming o is positive.\nAnswer: o**(1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20*w**2 + 2*w - 1. Let j(v) = 39*v**2 + 4*v - 3. Let n(o) = -2*j(o) + 5*t(o). Is n(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52589 + -3?\nAnswer: -5258c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2625 and 4275?\nAnswer: 149625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525301909?\nAnswer: 211, 2357, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 4*b**2 + 2*b - 2. Let q = -8 + 12. Let x be p(q). Let m be 159\/x - (-2)\/(-4). What is the highest common factor of 65 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.037 (b) -12 (c) -1\/6 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -632467 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = 37. Is 16 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 26. Is -109\/4 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -3 - -3 - 1. Suppose -u = r*u - 9. Suppose -3*t = 2*h - 17, 4*h = h + u*t + 3. Solve h*s + d + 12 = 0, -5*s + 0*d = 5*d + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, 1133, 1, -5 in decreasing order.\nAnswer: 1133, 1, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j + 1. Let a(l) = -l**2 - 31*l + 5. What is 4*a(d) - 22*z(d)?\nAnswer: -4*d**2 + 8*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = -v. Let j = v - -5. Let u(r) be the second derivative of -7*r**5\/20 - r**4\/12 + r**2\/2 + r. Calculate u(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 7, 4, 587.\nAnswer: -4, 2, 4, 7, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*s + 66*s + 717*s**2 - 699*s**2 + s**4 in the form p*s + y*s**2 + u*s**4 + v + n*s**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75754, 91362, 106970, 122578?\n\"Answer: 15608*f + 60146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19738870 and 4.\nAnswer: 19738874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3046 - 18066 = 1558*u + 2118 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1223768*l**3 - 8457*l**2 - 3*l - 1 wrt l?\nAnswer: -7342608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 89*z**2 + 12. Let u(n) = -14507*n**2 - 1958. Let q(a) = 979*o(a) + 6*u(a). Let j(f) = -f. Calculate j(q(h)).\nAnswer: -89*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/4)\/y**(-8\/7)*y**43*y\/((((y**(-44)\/y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(2643\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = s. Find the common denominator of ((-32)\/18)\/(s\/(-6)) and 4\/18 - (-6187)\/2898.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 3, 0.121?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4887 divide 512871102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.77856 months in millennia?\nAnswer: 0.00406488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3. Let b be k(1). Let t be (-2)\/21*(b - 1). Which is bigger: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 102*g = -41*g - 2205 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 2. Let c be j(-2). Suppose -3 = c*n - 11. Suppose -18 = -0*q - n*q. What is the remainder when 14 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 9270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*c = 2*r, -4*c - 3*r = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 4*p**2 + p - 12. Let q be s(3). Is q at least as big as 2\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -127. Sort 1, -2, r, 4 in increasing order.\nAnswer: -2, 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121012211 + -22211?\nAnswer: 1120220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/56 and -103\/11875052?\nAnswer: 23750104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 5*u**2 + 6*u + 6. Let q be m(-4). Suppose 29*h = 30*h - 3*z + 60, 0 = -z + 4. Let s = q + h. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379099 is divided by 10830.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 76. Suppose d - 17 = -i - 7, 47 = 5*i + 4*d. Calculate the highest common divisor of c and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/213953219 and 61\/1002.\nAnswer: 1283719314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4169863241?\nAnswer: 17, 79, 3104887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 - -4) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5539194417 - -8719.\nAnswer: 5539203136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -128 + 13c72a?\nAnswer: 13c602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 503887.9 micrometers?\nAnswer: 503887900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2*4)**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624101596?\nAnswer: 2, 23, 6783713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4\/9, -95, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**3 - 21*n**2 - 9. Let g(r) = 7 - 3 - 717*r**2 + 3*r**3 + 727*r**2. Let w(s) = -9*g(s) - 4*l(s). Factor w(k).\nAnswer: -3*k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 1311, -1, -35 in increasing order.\nAnswer: -35, -1, 5, 6, 1311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1979481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 11 - 1 - (-21 - (1 - 19)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -461*k + 3229. Let m be a(7). Solve m = 3*g + 3*p - 13, -3*g + p + 11 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 9030 - 18750. List the prime factors of d.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2. Suppose 4*v - 52 = -16. Let j be (-3)\/v - 2\/(-6). Let b(z) = j - z + 0. What is s(b(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 110.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -953 - -10482\/11. What is the second smallest value in -1.7, k, 1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1317, -1314, -1307, -1302, -1305?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 19*z - 90. What is f(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 9*r - 24. What is the tens digit of -4 + r\/(-2) + 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -106*k**3 - 3*k - 2. What is s(-1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*u - 26, -3*u + f = 2*f - 18. Let m be ((-2)\/u)\/(8\/(-30)). Let w = 242386 + -242388. Put m, w, 1 in descending order.\nAnswer: m, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 5, 2, 171\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1282 and 10.\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*s - 9 = 0, -5*p - 3 = -3*s - 9. Suppose -2364 = -3*r + p*k, 0 = 5*r + 5*k - 5295 + 1325. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*n*s**3 - 2*b*n*s**2 + 4*b*n + b*s**4 - 66*n*s**4 + n*s**2 + 945*s**2 wrt s?\nAnswer: -6*b*n + 24*b*s - 1584*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 9*x**2 - 2*x - 7. Suppose -3*u - 220 + 226 = 0. Suppose -u*p = -4*i + 2*i - 10, 0 = -i - 3*p - 21. What is l(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = m - 3 - 3, -4*p + 6 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + ((-14)\/(-168) - 5). Let x(u) be the third derivative of 0 - o*u**4 - 18*u**2 + 8\/3*u**3 + 0*u. Differentiate x(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119611*w**5 - 26835*w wrt w.\nAnswer: -2392220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -1 + (18 - 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3183561 is divided by 2881?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.65? (a) -1 (b) -34\/7 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = 0, -5*x - 80 + 415 = 5*d. Let h = -25 + d. Suppose 0 = -2*i - r + 54, 151 = 4*i + 3*r + h. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - q**2 + 19 + 29 + 3*q**2 to the form f + n*q + s*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 7. Let r be (-28)\/12 + s\/(-12). Which is the third biggest value? (a) r (b) -0.13 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:37 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 276 in 0, -4, -8\/51, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2258, -17829, -60016, -142127, -277470, -479353?\n\"Answer: -2218*x**3 - 45*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113203520 by -82270.\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 0.2, 0.5, -3\/8, -1, 260?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689365\/6 not equal to 1114895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 4*((sqrt(176) + (sqrt(176) - (4 + -1 + sqrt(176))) + 4)*2 + -4))**2.\nAnswer: -1280*sqrt(11) + 22728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 - 2*u**3 - 4*u**2 - 24*u + 45. Let a be l(8). What is the highest common factor of 60 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Let f be 4 + (1 + 1 - (-6)\/(-3)). Suppose -3*v + 3*u = -6, 2*v + 3*u + 2 = -f. What is the nearest to v in 4, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 + 4)\/4*(-6 - -4). Suppose 2*t = b + 9, c*b + 22 = -48*t + 53*t. Let a be (-2)\/7 + (-267)\/(-910). Is a greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2748 + 13693\/5. Let s = -2365 + 14221\/6. What is the common denominator of s and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 274 and 8?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from ivivviiviv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-28) + (-2)\/(-8). What is the smallest value in -4, 4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865583573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-170)\/8)\/(-5) + (-18)\/72. Suppose -3*q = 3*i - 2826, u*i = 3*q - 4*q + 3753. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.519771 kilometers in millimeters?\nAnswer: 8519771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.96. Let a = r + 1.94. Let w = -2 + a. What is the nearest to 1 in -1\/2, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 51. Suppose 0 = l*b - 3*z - 173, -2*z + 0*z + 134 = 4*b. What is the greatest common divisor of b and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69\/73 + 4043\/511. Is 10 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + 70 + (-1 - -17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -5*q - 1035. Let z = q - -562. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.48 - -54. Let z = 1.56 + g. Which is smaller: z or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -125, -315, -581?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 r when three letters picked without replacement from jvprb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9675, 10647, 12275, 14565, 17523, 21155, 25467, 30465?\n\"Answer: p**3 + 322*p**2 - p + 9353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7666 + -7444. What is the remainder when 12874 is divided by i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*p + 345*p - 173*p + 4303*p**2 + 7331*p**2.\nAnswer: 11634*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 6252*s**3 - 28 + 177131*s**3.\nAnswer: 183383*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a, -3*n + 9 = 2*a. Suppose 4*y = y + n. Let l = y + 24. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6237 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 2*b**2 + 0 - 13*b - 1. Let z be o(-13). Let g(x) = -x**2 - x. Let v(c) = -4*c**2 - 6*c. What is z*v(d) + 6*g(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -7. Let r = m + -3. Let s be (-3026)\/(-7565) + (-7)\/(420\/16). What is the second biggest value in r, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:04 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:52 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220212 + 12010202211?\nAnswer: 12011200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*r + 4. Suppose -2*o = -7*o + 70. Let g be o\/3 - 2\/(-6). Solve r*j - g = 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 141. Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1261536, -1261437, -1261338, -1261239, -1261140?\n\"Answer: 99*i - 1261635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - w + 45, 4*j - 65*w = -62*w + 89. Let g be 4\/(((-18)\/39)\/3). Let b = g - -46. What is the least common multiple of j and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14) + 1836\/(-476)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027046 rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54989 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 10*z**2 + 12*z - 2. Let j be (-8)\/2 + 8 + -6 + -2. Let i be -27*(55\/15 + j). Give m(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:55 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 59*p**2 + 3389*p - 131980. Give m(31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100231 (base 4) to base 14\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.6 - -25.82. Let j = -0.8 - -1.02. Let y = j - k. What is the third biggest value in -3\/4, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 783147035 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1457 and 2585.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21*4\/(-6) + -1. Let u be 1*(z\/(-3) + 0). Suppose 9 = -u*v - 1. What is the second biggest value in -3\/4, 3, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 2, -2 in decreasing order.\nAnswer: 2, 0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**3 - 14*v + 12. Let s be u(1). Solve 21*l + 76 + s = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/3, 2\/9, -3, 6?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 96 = 3*y. What is the tens digit of 8\/y*13125\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**3 - 8*b**2 + 9*b + 21. Let s be g(-5). Let z = -1239 - s. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-497)\/224)\/((-24)\/(-64)*2) + 15\/5\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:00 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 380190*r - 12045369675 = 0 for r.\nAnswer: 63365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -61.96. Let l be (-2 + 4)*(-9)\/6. Let k be (l - -1) + 120\/57. Which is the third biggest value? (a) k (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -129943, 50, -1 in descending order.\nAnswer: 50, -1, -4, -129943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350405 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (0 + sqrt(7))*-1))**2 + -2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 3. Suppose -85*u + 2*k - 4 = -88*u, -u + 28 = 4*k. Sort 5, 7, u, b in increasing order.\nAnswer: b, u, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -4, 3.9, -1\/628 in decreasing order.\nAnswer: 3.9, 1\/6, -1\/628, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 + 64*l + 0*l**4 + 0*l**6 - 37\/6*l**3 + 3\/5*l**5 + 0*l**2 - 1\/14*l**7. What is the second derivative of f(q) wrt q?\nAnswer: -60*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l - l - l + 0*l. Let n be a(1). Let x(c) = -c - 2. Calculate x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 + l**3 + 2*l**2 - 5*l**2 + 4*l**2. Let o be (9 - 0)\/3 - 2. Let x be ((-2)\/(-2))\/o*-2. Give a(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30342, -3, -6 in ascending order.\nAnswer: -30342, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.9 take away 306581?\nAnswer: -306828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021165941278 to seven dps.\nAnswer: 0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57553489897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -9. Let g = -6 + 2. Let z be (-1)\/g - (-357)\/12. Calculate the highest common factor of z and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/2 - 15*g**3\/2 + 3605*g**2\/2 - 45345*g\/2 + 20878 = 0. What is g?\nAnswer: -73, 1, 13, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8328 divided by 8?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14650397 to the power of 1\/2, to the nearest integer?\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4 + 2*i - 4. Let p be (1\/(-1) - -4) + 0. Give t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1267 + -5105\/4. Calculate the common denominator of 105\/44 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*z**6 + 15*z**3 + 2919*z**2.\nAnswer: -1800*z**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29512 and 333340?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6376526034 + 6376527640.5600026. Let v = d + -1606.52. Let p = v - 0.04. What is p rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 168.2 - 1161.\nAnswer: -992.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:10 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/12? (a) -0.1 (b) -18 (c) 3.7 (d) 1 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394 divided by -1230.\nAnswer: -197\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*o, 5*y + 0*o - 12 = o. Let m(x) = -7*x + 16. Let c(f) = -13*f + 33. Let j(b) = -4*c(b) + 7*m(b). Let g be j(8). Solve -y*p = p - g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - (2 - 2)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 - 21 = 0. Let q(k) = -k**2 + 5*k - 6. Let a be q(p). Let f = 3 - a. Solve f*b - 2*i = -2, 0 = -4*b + 3*i - 4 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12718 is divided by 847.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3248 and -15\/17458?\nAnswer: 139664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 12. Let g be a(0). Suppose 22 = -i + 3*i + 4*u, 0 = -3*u + g. Suppose f - 5*d = 10, i*f - 19 + 1 = 3*d. Solve -x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005747698444 to four dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)\/(2\/(-1)). Put 3, -3, q in increasing order.\nAnswer: -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -38*i**3 - 1374*i**2 - 215*i + 39. What is t(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 8*g + 8. Let i be f(13). Suppose i = 7*k - 32. Suppose -k*o - 3*o**2 + 14*o + 19*o - 15 = 0. Calculate o.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6844, 6846, 6848?\nAnswer: 6850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 50.033\nAnswer: -49.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 940 - 492. Let p = 5938 + -5998. Let s be (-4)\/2 - (g\/p)\/4. Which is the closest to 0.1? (a) 3\/2 (b) s (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-22))\/((-1)\/6). Let x = 3\/22 - h. Let i = 157 - 157. What is the nearest to i in x, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = 5*v, 4*t + 3 - 21 = 5*v. Solve 5*x = 2*l - 13, -t + 1 = x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*f**2 + 8\/7 + 8\/7*f = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k. Let b(q) = 2*q - 319. What is b(a(t))?\nAnswer: -8*t - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1924429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -399*w**3 + 223*w**3 + 1046*w**2 + 243*w**3 wrt w.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*g - 163*g + 324*g = -2457 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 2273*r**2\/3 + 66890*r\/3 - 101288.\nAnswer: -(r - 2302)*(r - 4)*(r + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6631*w**3 + 11*w**2 + 49*w + 7. Let c(t) = 4421*t**3 - 8*t**2 - 35*t - 5. What is -7*c(n) - 5*g(n)?\nAnswer: 2208*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 6\/3) + 1411. Suppose -15*i = -19*i + t. Is i + -5 - (-1 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40695733 to the nearest integer?\nAnswer: 6379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 32. Let z = -24 + s. Which is smaller: 2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (265*t + 1 - 456*t - 3)*(-4 + 1 + 2)*(1 - 4 + 1) in the form n + a*t and give a.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-2)*18\/(-27). Let s be 1\/(4\/(-12))*r. Suppose 4*u = u + s. What is the remainder when 34 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2679597339 rounded to 3 decimal places?\nAnswer: -0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1662606552 + -2?\nAnswer: -1662606554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -119 and -23476005.\nAnswer: -23476124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*f - 202*f - 10618 - 5500 = 5339 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 minutes after 6:03 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*((sqrt(99) - (sqrt(99) + 3)) + -3 + 4 - -4*2*sqrt(99)*2))**2.\nAnswer: -43200*sqrt(11) + 5703300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 35*p = -10. Sort 0, p, 5, 4 in increasing order.\nAnswer: p, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(100\/5 - 21) - 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 2, l: 3, u: 1}. Give prob of picking 1 a and 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1c7665 (base 13) to base 2\nAnswer: 10110010010110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/10 + w**4\/8 + w**3\/2 + 5*w**2 + 155. Let r(i) = -5*i**2 - 2*i - 2. Calculate -4*r(g) - 3*v(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 594205461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682812205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1520 and 8170.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a + 29326 + 29486 = 17*a. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, 0.25, -46\/39 in ascending order.\nAnswer: -46\/39, 0.25, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 = 7*w. Let j(z) = z**3. Let g(q) = 4*q**3 - 3*q**2 - 3*q - 5. Let a(n) = w*j(n) - g(n). What is a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282534000 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 280?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252 + -247. Suppose r = b - 2, x*b - 73 = -5*r - 23. Solve -10*m = -13*m + b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 34 (b) -3 (c) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -832513736937927 and 0.4.\nAnswer: -832513736937926.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.71745 litres to millilitres.\nAnswer: 9717.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1406144 and 13494.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 5, 3, -1, 1352 in descending order.\nAnswer: 1352, 5, 3, 3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -3 - (-2 + -7)) + (-5 - 5) - 52\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46522 is divided by 1732.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0367*0.3.\nAnswer: 0.01101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1009 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 + 619 - (-77 - -5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 9, -2*n + j = -609. Suppose n = 3*a - a. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1974 + -1969. Calculate the highest common factor of 20 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/73 (b) 2\/11 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 2. Suppose -7*f + 6 = -8. Let i(y) = -1. Give f*i(t) - g(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwppadaapwwawpa. Give prob of picking 3 w and 1 d.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*q, -4*q + 37*x - 34*x = -8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 0.33, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 39?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -74. Suppose -4*t = t - 20. Suppose 2*z + n = 5*v, 17 = 5*z + t*v + 74. Sort -5, z, 4.\nAnswer: z, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 5. Let a(k) = -4*k - 1. Let d be a(-3). Suppose 4*p = -8, -332*c = -329*c - p - 14. Suppose -12*z + c = -d*z. Calculate i(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 810*h**2 + 1608*h + 13. Calculate o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*f + 89*f + 9 = s, 13 = 3*f + 2*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 883, 1753, 2607, 3439, 4243, 5013, 5743, 6427?\nAnswer: 7059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 27*o**2 - 48*o + 54. Let a be h(-25). Suppose -5*d - 2*l = 17, -3*d - 21 = -5*l + 14. Sort a, -4, d in descending order.\nAnswer: a, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62981684 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166655121.\nAnswer: 3, 55551707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 55*c**2 + 111*c - 166. Let b be y(-57). Sort -2, b, 6, 3 in ascending order.\nAnswer: -2, 3, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d**2*s**2 + 14*d**2 + d*s**2 + d*s - 846826*s**2 wrt d.\nAnswer: 16*d*s**2 + 28*d + s**2 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7781603\/568 + 13700. Which is smaller: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 17, -1, -5, -0.1.\nAnswer: -106, -5, -1, -0.1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:14 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 37738 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/3))\/(z*z**15\/z))\/((z**(5\/11)\/z)\/(z*z\/z**(-2\/29))) assuming z is positive.\nAnswer: z**(-11215\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3\/5 - 533444*c**2\/5 = 0.\nAnswer: -133361, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**3 + 45 with respect to x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5 + 3 + 99*m - 101*m. Suppose -4*q + 72 = 5*q. Let k(c) be the first derivative of -3*c**2\/2 - 3*c - 1. What is q*a(s) - 5*k(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 - 3*p - 3. Let f = -7060 - -7065. What is b(f)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994142272.\nAnswer: 2, 29, 535637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 - 15*n**4 + 6*n**3 + 60*n**2 - 72*n = 0. What is n?\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 11772?\nAnswer: 94176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -114?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45640, -46550, -47460, -48370?\n\"Answer: -910*k - 44730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u + 81*u + 42 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2287 to the nearest ten.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*v + 58 - 46, -4*v + s + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379141?\nAnswer: 3, 264349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -505342 (base 6) in base 16?\nAnswer: -9c9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 328*f**4 - 24792*f wrt f?\nAnswer: 3936*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2. Let r(p) be the third derivative of -11*p**5\/30 + 27*p**2. What is n(r(o))?\nAnswer: 1936*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.036 in 54, -5, -214\/5, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 6 = -5*w. Let z be -2 + 5\/w + 139. Let t = z + -40. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 - 4*o. Suppose 4*x + 44 = 4. Let j(a) = 7*a**2 + 7*a. What is x*v(q) - 6*j(q)?\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31213224 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -497, -1176, -2157, -3440?\nAnswer: -5025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*h - 14, 4*h + 5*m - 31 = -61 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -38*z**2 + 8. Let n(x) be the third derivative of x**4\/6 + 2*x**2 + 1619*x. Give j(n(a)).\nAnswer: -608*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/201 and -34\/1530883?\nAnswer: 4592649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -123*-49147.68\nAnswer: 6045164.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918754198 to the power of 1\/2, to the nearest integer?\nAnswer: 43804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.5 (c) -206 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/4 - 1041*c**2\/2 + 6090*c + 32736 = 0. Calculate c.\nAnswer: -4, 16, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = z + 99 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/320 + z**5\/160 - z**4\/64 - z**3\/16 + 6*z**2. Find o, given that w(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*x + 11. Let a be 1*x\/(33\/(-24)). Put a, 4, -1, 5 in ascending order.\nAnswer: a, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, n: 6}. Give prob of picking 2 n and 1 d.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 265\/(-20) + 1\/4. Let m = -5 - b. Let u = m - 11. Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 788 + -663.6. Let k = a - 117. Is -2\/5 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1296*s + 1440*s**2 - 23*s**3 + 4*s**4 + 65*s**3 + 106*s**3.\nAnswer: 4*s*(s + 1)*(s + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j + 4. Let d be x(-2). Let t(q) = -7*q - 3. Let l be t(-1). Let b(s) = -2*s + 9. Let i be b(l). Put i, -1, d in descending order.\nAnswer: d, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*y**3 + 98*y**3 + 9099 + 2*y + 74*y**3 in the form i*y + n + j*y**2 + r*y**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111010010 (base 2) in base 16?\nAnswer: -9d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(11\/((-33)\/42))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.069\nAnswer: -0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16 + 8)*(-8)\/172\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + t**2 + 2*t**2 + 2*t - 2*t + (1 - 1 - 2*t**2)*(-5 + 0 + 4) + 3*t - 2*t**2 - 3*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n + 1. Let r(o) = 7*o + 5 - 5 + 0 + 1. Let g(x) = 2*b(x) - 5*r(x). Let z be g(-3). Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16862107?\nAnswer: 1753, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3929*i - 1033338. Determine d(263).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13eea (base 15) in base 13?\nAnswer: -23254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 99. Solve -x*h = -h + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 595*n**2\/6 + 4628*n\/3 + 4777\/6.\nAnswer: (n - 281)*(n - 17)*(2*n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -35*i + 1. Determine o(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541 is divided by 1881?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m**2 - 5*m**2 + 11*m**2)*(43 - 39*m - 43 + (-3 + 5 - 1)*(-2*m + 0 + 0) - 11*m - 37*m + 8*m) as y*m + c*m**2 + z*m**3 + a and give z.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 90*l**2. Let s(g) be the second derivative of g**5\/60 + 18*g**2 + 23*g. Let c(n) be the first derivative of s(n). What is c(r(m))?\nAnswer: 8100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7752214, 7752272, 7752328, 7752382, 7752434, 7752484, 7752532?\nAnswer: 7752578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**15\/(o**(-2)\/o)*(o**(-7\/4))**27 assuming o is positive.\nAnswer: o**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -r - 18, -v - 2*r + 4 = 0. What is the lowest common multiple of 14\/4*(-120)\/(-35) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1492, 1419, 1342, 1261?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11497 - 5348. What are the prime factors of v?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*y - 265*y - 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25297229 is divided by 178.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:34 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5880)\/336*(-3)\/(-7)*7*1\/20?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 2, o: 8, p: 3}. What is prob of picking 1 k, 1 l, and 1 p?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.262?\nAnswer: -0.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*l + 106, -j + 0*j - 5*l = -38. Let h = j - 25. Let i(w) = 3*w - 2 - 5*w - 1. Give i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6656 - 6655. Let y(s) = -5*s + 5. Let h(v) be the third derivative of -v**4\/24 + v**3\/6 - 28*v**2. What is m*y(t) - 4*h(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*w - 312822*l**2*w + l*w - 5*w + 75282 wrt l?\nAnswer: -12*l*w - 625644*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -748458 or -748451?\nAnswer: -748451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 29 = 3*d - 4*m, -2*d + 3*m = -18. Suppose d*x + 5*y + 23 = 0, -x - y + 3 = -2*y. Is (3 - 76)*-1 - x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 11*d - 10. Let j be a(10). Suppose -2*t + 1 = 3*i, -5*i + 4*t = -j*t + 35. Let y be i*(-2 - 2)\/4. Solve y*m + 4 = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -295\/541 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 161 = 309. Let w = 952 + m. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 659 - 650. Let u be (-2)\/8*-13 - m\/(-12). Solve 2*d - 3*x = -21, u*x = 2*d + 5*x + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -105. Suppose -u*q + k = -17459, 17474 = 12*q - 9*q - 4*k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -183 in -25, 0.058, -2, -0.4, 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*i - 15 + i + 15 - 2*i + 0*i + i + (-1 + 1 + 3)*(4 - i - 4).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/88 and 93\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -58. Let o be (1\/(-3))\/(6\/f). Put -0.3, o, 3 in ascending order.\nAnswer: o, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -38*z**4\/7 - 23176*z**3\/7 + 11501848*z**2\/7 - 1210464*z\/7 = 0.\nAnswer: -934, 0, 2\/19, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -4*x**3\/3 - 42*x + 3181. Let h(g) = 16*g**2. What is h(j(a))?\nAnswer: 256*a**4 + 5376*a**2 + 28224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3508, 7447, 11772, 16483, 21580, 27063, 32932?\n\"Answer: 193*a**2 + 3360*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huf when three letters picked without replacement from hhhhhhhfhhhufu.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2170)\/(-75)*39 + 6\/10. Let n = x - 795. Calculate the remainder when n is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49876 and 14948.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -564.06 + 486.318. Let l = -78 - k. Let r = l + -0.042. Which is the third smallest value? (a) -1\/6 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 4. Suppose 0 = -g + 2*g. Is h(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*l**3 + 1 - 5*l**2 - 2*l**4 - 13*l**3 + 3*l**4 - 11*l**3 as b*l**2 + q + f*l**4 + t*l + n*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/((a*a**5\/a*a)\/a))\/a*a**(-3))\/(a\/(a*(a*a**(-1\/2)\/a)\/a))**(2\/109))\/(((a**(-1\/3)*a)\/a*a)**(-2\/11))**(4\/15) assuming a is positive.\nAnswer: a**(-323471\/53955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)\/sqrt(16) - sqrt(19) - (-2*sqrt(19) + 1)**2) + -1 - ((1 + sqrt(19) + 0 - sqrt(19)) + sqrt(57)\/sqrt(3)*5)) + 3)*-2.\nAnswer: 3*sqrt(19) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -1, -5, 2, -2\/11 in descending order.\nAnswer: 49, 2, -2\/11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*n + 53. Let l = -32 + n. Let i = -131 + 190. What is the remainder when i is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -34, -341, 0, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*w - 6378, 5*b - 4*w - 1036 - 6956 = 0. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 7 + 0*a**4 - 9\/80*a**5 + 0*a**2 + 1\/10*a**6 - a + 0*a**3. Let s(o) = 0. What is o?\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24416.75 rounded to the nearest one hundred?\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 1000, 2244, 4620, 8494?\nAnswer: 14232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161879 is divided by 6744.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 5. Suppose y = -3*s + 2*s + r, y + 2 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 100 = -7*v. Let r = -105 - -63. Let f = v - r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571344867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5157143 and 0.06?\nAnswer: 309428.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {g: 2, b: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12.9. Which is the nearest to s? (a) -1\/5 (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005752086 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4617 and 190?\nAnswer: 46170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -547, -4027, -13371, -31507, -61363, -105867, -167947?\n\"Answer: -488*t**3 - 4*t**2 - 52*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/2 - 193*n - 6920 = 0 for n.\nAnswer: -346, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*f + 20*f + 12. Let i(w) = -15*w**2 + 6*w**f + 7*w**2. Let g(o) = 5*o - 8. Determine i(g(k)).\nAnswer: -50*k**2 + 160*k - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 43772?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*f**2 + 338*f - 338*f)*(2*f - f + 0*f).\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:48 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 10, o: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9784 - 9789. Let u = 0.35 + -0.3. Sort u, c, 3\/5, 4.\nAnswer: c, u, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -35. Let b = t - -78. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 4*q)*(8*q - 1 - 1 - 9*q - 2*q - 2 + 2 + (4*q - 3*q - 2*q)*(-1 + 1 - 1)).\nAnswer: 4*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 12) to base 14.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 19. Suppose 0 = -g + 107 - 115. Let o be z(g). Put 0.5, 0.2, -0.3, o in increasing order.\nAnswer: -0.3, 0.2, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2*2\/4). Let b = 5 - i. Let a(k) be the second derivative of k**5\/20 + k**3\/6 + k**2\/2 - 2*k. What is a(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 23 + z)*(2 - 4*z - 2) to o + m*z**2 + a*z and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Suppose 0 = 39*v + 136*v. Let j(o) be the third derivative of -3*o**2 + v*o**3 + 0*o + 0*o**4 + 1\/60*o**5 + 0. Give a(j(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (184\/(-20))\/((-1)\/5). Let g = l - 41. Suppose -g*v + 2019 = 339. Calculate the highest common factor of 42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {m: 5, r: 5, y: 4, l: 1, q: 3}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 7. Let a(u) = 3*u. What is d(a(h))?\nAnswer: 27*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26511 (base 10) to base 16\nAnswer: 678f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2374631 + 5?\nAnswer: -2374624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280 - -2516\/9. Suppose -4*s = -8*s - 4. Is s bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1057506 divided by -674\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 67*l**3 - 1 - 65*l**3 in the form t*l**2 + m + x*l**3 + a*l and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 6. Suppose -u + 4 = -3*d, 5*u + 0*d = d - 22. Let f be (96\/60)\/((-2)\/u). Solve -k - 5*p + 16 = 0, 3*k - l = -p + f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q - 33*q**2 + 1 + 18*q - 5*q to z + s*q**2 + p*q and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4.1. Let h = 0 + -0.2. Which is the nearest to 2? (a) w (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91216786.\nAnswer: 2, 45608393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(((-12)\/(-66))\/(368\/506))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22294, 22196, 22040, 21832, 21578, 21284?\n\"Answer: v**3 - 35*v**2 + 22328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoo when three letters picked without replacement from obooobooouoeooooo?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l. Suppose 3*u = 6*u - 6. What is the units digit of w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + 70. Suppose 3*l - 2*t + 82 = 6*l, 0 = 4*l + t - f. What is the greatest common divisor of l and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8171 * -3\nAnswer: -24513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 800.6 and 0.4.\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1267923.04 to the nearest ten thousand.\nAnswer: 1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 22. Let r(g) = 3*g - 10. Let u(m) = -m - 2. Let d(s) = r(s) - 5*u(s). Calculate d(b(n)).\nAnswer: -16*n**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4128 = 2*j - 15592, 4*j + 3*i = 23030. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3526 divided by 4.\nAnswer: -1763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 6.395.\nAnswer: 1.9185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**7\/105 - 307*p**5\/60 - p**4\/6 - p**3\/3 + 408*p**2. What is the second derivative of i(b) wrt b?\nAnswer: 24*b**2 - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/(y\/(y**5*y)))\/(y**3*y)**(-10) assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -18. Let b(m) = -2*m**3 - 4*m**2 - 3*m - 6. What are the prime factors of b(z)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -5 (c) 18 (d) 1\/173 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009236 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, v: 2}. What is prob of sequence vee?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1266 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -33, 1, -2 in decreasing order.\nAnswer: 1, -1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742338631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**4\/4 - 747*q**3\/4 + 16893*q**2\/4 - 31533*q\/4 + 7695\/2 = 0.\nAnswer: -270, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = -2*m, -5*m = -4*m + 2*j. Suppose 3*t - 4*f - 12 = -m*t, -t - f + 6 = 0. Suppose -o = t*o - 40. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7689 - 0.7689. Put y, 0.25, 26 in ascending order.\nAnswer: y, 0.25, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 13*s**2 + 11*s + 8. Let y be t(14). Suppose -k - 10*l = -7*l - 155, 4*k - 688 = 5*l. Let u = k + y. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 27 + 3\/1. Let f(a) = -15*a**4 + 225*a**3 - 192*a**2 - 33*a. Let o(x) = x**4 - 14*x**3 + 12*x**2 + 2*x. Let g(u) = p*o(u) + 2*f(u). Factor g(i).\nAnswer: 3*i**2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 32 = 5*l - 51, 0 = 2*w - 3*l - 30. Let f be w\/35 - (-44)\/10. List the prime factors of 138\/f - 8\/(-20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260836, -1043395, -2347660, -4173631?\n\"Answer: -260853*f**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 14770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/15 + 235*x**4\/6 - 932*x**3\/3 - 4*x**2 + 3*x + 240. Determine n so that z(n) = 0.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/(d**(2\/5)\/d))\/(d**(-2\/15)*(d\/(d**(-5)*d))\/d)*(d**(2\/13)*d*d**0*d)\/(d*d*d**(1\/2))**29 assuming d is positive.\nAnswer: d**(-201743\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5*v - 2*v. Let b(f) = 3*f**2 - 4. Let j(r) = -7*r**2 + 9. Let h(x) = -9*b(x) - 4*j(x). Give h(g(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/2*(-10)\/15*1. Suppose 0 = 3*y - 12, -3*o - n*y + 3 + 5 = 0. Let m = 0.1 - 0.1. Which is the third smallest value? (a) o (b) 0.5 (c) m (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1727 = 2*q, -5*q - 7*x + 8*x = -4385. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132044214 (base 5) to base 11.\nAnswer: -410392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {p: 13, n: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2008705 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-3)\/(-18))\/(50 - 15457\/312)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - (-3345)\/21. Let n = l + 135. Suppose -r - 49 - n = -2*d, -5*d + 835 = 2*r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25034175961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.5, -1\/2, 171, 0.4, -12 in ascending order.\nAnswer: -12, -5\/4, -1\/2, 0.4, 0.5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 - (-483)\/(-782). Which is the second biggest value? (a) 0 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 608, 918, 1248, 1604, 1992?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5166278 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176196 + 285037. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((-3)\/(-12))\/((-278)\/10008).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 380 + -381. Sort 2, c, 5 in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 28. Which is the second smallest value? (a) 0.1 (b) 2\/27 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3899*a*z**4 + a*z**3 + 8814*a*z + z**4 + 23*z**3 + 18*z**2 + 2*z + 2 wrt z?\nAnswer: 93576*a*z + 6*a + 24*z + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/9*6\/4. Let y = x + 4. What is the nearest to y in 4, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:30 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4\/8009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 500*m + 9065 + 3101 = 0 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 75 = -40. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67983 divided by -5?\nAnswer: -67983\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 5 = 0. Suppose -5*f = 2*c - q, -5*c + 23 = 6*f - 4*f. Let l(s) = s - 4. Let u(x) = -3*x + 12. Let r(g) = -17*l(g) - 6*u(g). Determine r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 8179*p = 8183*p + 10, 1 = 3*l + 19*p - 76 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + 1047. What are the prime factors of m?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/128 (b) 1 (c) -13\/3 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -36, -50, 29 in increasing order.\nAnswer: -50, -36, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 - 42?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:11 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*i - 9, -4*i + 2*i = 4*x + 12. Let y = 14 + x. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 - 2199?\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.12, 0.4, -1\/7, -0.08, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 - 7*l - 4. Let w be h(-6). Let c = -5849 - -5854. Put 1, 6, w, c in descending order.\nAnswer: 6, c, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q - 5. Let k be j(5). Let c = k - -8. What is the units digit of c\/(-4)*2*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 34*u**3 + 15*u**2 + 49*u - 9. Let g(j) = -j**3 + 5*j**2 - 2*j - 3. Determine -3*g(p) + i(p).\nAnswer: 37*p**3 + 55*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 2, w: 1, q: 1, z: 1}. What is prob of picking 1 z and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276247, -276251, -276257, -276265?\nAnswer: -276275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 + -403. Let n = s + 191.88. Let b = n + -0.78. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9054 = 2*c, 5*c - 12*m - 22674 = -15*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/14 + (-2901)\/6769.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 5*v - 7. Calculate j(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 283 + -269 + (2 - 4 - -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2011 + -446. Suppose -u = 2*g - 7*g. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 11*z - z**2 + 0*z + 1 + 3*z - z**3. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - s**2)*(10 + 10 - 5)*((1 - 5 + 2)*(-1 + 1 + 2) - 6 - 1 + 5).\nAnswer: 90*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2868*-0.4\nAnswer: -0.11472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74870089 divided by -4109.\nAnswer: 18221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -90, -128, -164, -198?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 87*b**2 - 2*b. Let s be l(1). Let f = s + 187. Let n = -179 + f. What are the prime factors of n?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-30454323 + -1 - -2). Let z = h - -21354321. Round z to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (15 + -34 + 17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668 is divided by 152?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 2*t**2 + 28*t + 17. Determine v(8).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*y = 94*y + 3, -y + 384569 = 4*j. List the prime factors of j.\nAnswer: 79, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 5*f + f)*(-1 + 2 - 3)*(-20*f**2 + 31*f**2 + 29*f**2) as d*f**3 + v*f + p*f**2 + a and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 5 (b) -1\/2 (c) -3\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**2 + 0*h + 0 + 1\/4*h**4 + 0*h**3.\nAnswer: h**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 7*m**2 + 5. Let k be f(-7). Suppose -2*x - 8 = -k*v + v, 1 = 3*v + x. List the prime factors of (-65)\/(1 + -2) + v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5) - 616\/(-35). Suppose 0 = -l + i + 5, 2*i = 4*l + i - k. What is the remainder when 11 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 24*s**2 - 22*s + 79. Let c be g(-25). Let o(a) be the third derivative of a**6\/20 + a**5\/60 + a**4\/4 - 11*a**3\/6 - a**2. Is o(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144286.\nAnswer: 2, 19, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -45517, 3\/7, 0, -7, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o - 4608. What is the tens digit of (-4)\/30 - o\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 411796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 62. Suppose 3*c - 228 = -2*u, -g*u - 2*c + 282 + 310 = 0. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 870\/160)*12\/14. Which is the third biggest value? (a) -52 (b) v (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 119 = -u, 3*u = -u + 3*p + 443. Let n(i) = -i**2 - 9*i + 3. What is the remainder when u is divided by n(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6135247, -12270487, -18405727?\nAnswer: -24540967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 732 + -701. Solve -j + 35 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63299290*b + 126598612*b - 63299311*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.312 in -12.4, 26, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 695747784 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2352.95 - -2353. Sort 2, 4, -0.1, -0.5, u in increasing order.\nAnswer: -0.5, -0.1, u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 6*q - 5. Let m be 3\/1 + (-33)\/(-11). Suppose 0 = -c + m*c + 20. Is s(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 114*n**2 + 10*n + 81. Is c(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 32. Let u be v(-5). Let f be ((-5)\/u*1)\/((-5)\/(-165)). Let i be 8*((-33)\/f + 47\/70). Is 0 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 24*p = 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.671 (b) 4 (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 1 - 4*x + x**2 + 8*x. Let m be p(-5). Differentiate 8*a**2 + 13*a**2 - 10*a**2 - m wrt a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -y - 3651474, -o - 7637255 + 334311 = 2*y. Let h be 1 - 2 - (-148529)\/(-1). Let r = h + y. What is r rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -537*s + 533*s - 20 + 78 + 98 to k + f*s and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.355021 or 2\/9?\nAnswer: 2.355021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:10 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 319\/3 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26104231 or 0.29?\nAnswer: 26104231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 1, s: 4, k: 1, e: 4, p: 4}. What is prob of picking 1 f, 1 s, and 1 k?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -39*y**2 - 3*y + 4. Let t be a(2). Let k be 3\/15 + t\/(-10). Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 1:09 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.5 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.298 + 2.298. Which is the closest to -2? (a) 0.5 (b) -5.6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(9394\/(-242) - -39).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/486442 and -89\/10.\nAnswer: 2432210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 45*t = -476. Let v be (6\/7)\/(-2 - (-57)\/t). Let m be (-66)\/(-8) + (-2)\/8. Calculate the highest common divisor of m and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 10*i**2 + 91*i + 363. Calculate k(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8917656762?\nAnswer: 2, 3, 7, 547, 388163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 4. Let u(n) = -3*n**2 - 4. Determine 2*m(g) + 3*u(g).\nAnswer: -g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.584516 seconds in days?\nAnswer: 0.00227528375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/12 + 5*r**4\/4 + 25*r**3\/6 + 5*r**2\/2 + 7*r. Let w(y) be the first derivative of b(y). Factor w(s).\nAnswer: 5*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:28 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134523863.\nAnswer: 134523863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9771\/5 + -10582003\/5415. What is the closest to 0 in w, 0.5, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4 (c) 107\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -21*p. Let z(b) = 22*b. Determine -2*n(x) - 3*z(x).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-180\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-20)*(z**(3\/19)*z*z)\/z)\/(z**(-2\/21))**5 assuming z is positive.\nAnswer: z**(-7328\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**4 + 178*w**3 + 2636*w**2 + 11578*w - 14398. Let o(x) = x**4 - x**3 - x + 1. Let l(a) = -j(a) + 2*o(a). Solve l(p) = 0.\nAnswer: -16, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12239*u + 6115*u + 6123*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63408, -63410, -63412, -63414, -63416, -63418?\n\"Answer: -2*s - 63406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.98 - -0.02. Let y = s - 0.8. What is the closest to 0 in 2, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(57))\/sqrt(300) + -5*(-4 + sqrt(190)\/sqrt(10) + sqrt(19) + -1).\nAnswer: -46*sqrt(19)\/5 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 18\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -312132012?\nAnswer: 312132012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822469 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29018145.\nAnswer: 3, 5, 13, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s**2 + s**2 + (3*s - 5*s + 4*s)*(3 - 3 - 7*s) + 4*s + 4*s + 2 - 6*s + 2*s**2 - 7*s**2 + s**2 + 4*s**2.\nAnswer: -10*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 47\/26, -4, -1 in descending order.\nAnswer: 47\/26, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 11) to base 5.\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 884 and -63948.\nAnswer: -56530032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 66*r - 1067. Give o(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92109\/4 - -22901. Which is bigger: v or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1598, 3200, 4802?\n\"Answer: 1602*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 25. Let h = -11967 - -11981. Give m(h).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**10))**(-6\/7))**(21\/2) assuming j is positive.\nAnswer: j**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285732\/65 or -4397?\nAnswer: -4397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 9*p - 6. Let c be u(-8). Suppose k - 2*x = c*k - 16, 0 = 5*x - 5. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyfyfffyyyyyfyyy. What is prob of picking 3 f?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1182589600 divided by -295647400\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + -1 - (3 - 0). Let v = 17 - x. Solve 0 = 5*t + 4*i + 19, -3*i + v = -5*t + 2*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2 + 1. Let t be j\/(-2) + 57\/6. Suppose -u + 32 = 4*u - 2*n, -u = -4*n - t. Calculate the least common multiple of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 23\/9?\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:20 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d. Let v(y) be the third derivative of y**6\/120 - y**5\/20 - y**4\/6 - 6*y**2. What is 5*h(m) - 2*v(m)?\nAnswer: -2*m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h**(-5)\/h*(h*(h*h**(2\/7))\/h)**(-2\/17))**(-18\/5) assuming h is positive.\nAnswer: h**(2466\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*x - x + n, -5*x + 2*n = 195. Let u be (x - 0)\/(1\/3). Let d = -62 - u. Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -12. Let u = -405471 - -405437.99945. Let k = d + u. Round k to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/7))**(-8\/3)\/(u*(u**(3\/4)*u)\/u*u\/(u\/(u\/u**(-1\/14)*u))) assuming u is positive.\nAnswer: u**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - v**4 + 0*v**3 + (-2*v**4 - v**4 + v**4)*(-2 + 4 - 1) + 0*v**4 + 3*v**4 - v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) 0 (c) 1 (d) -22 (e) 2\/105 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*q - 4, 7 = 3*q + q + 3*x. Sort 10, q, -3 in descending order.\nAnswer: 10, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (258\/(-4))\/(8\/(-48)*-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 58. Is 37\/3 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*u**2\/13 + 172918*u\/13 + 15720\/13.\nAnswer: -2*(u - 7860)*(11*u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1*(1 + -4). Suppose r*o = -l - 2*o - 21, -2*o - 30 = 4*l. Let d(g) = -11*g + 6. Let k be d(l). What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(17) + 0 + sqrt(68)*2 + sqrt(68) + -4 - (3*sqrt(612) - sqrt(17)*1*4))**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 12561.\nAnswer: 87927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 - 499*r - 10. Let t(o) = -18*o**2 - 2492*o - 52. What is 26*a(q) - 5*t(q)?\nAnswer: -14*q**2 - 514*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-4)*(1 + -3). Suppose 1 + q = 4*c. Let 0*g**2 + g**2 - 4*g**2 - g**3 + 6*g - c*g**3 = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b - 3*f, 4*f + 3 = -3*b - 1. Let l be (b*(-1)\/2)\/(-1). Suppose -5*a - 2*u + 162 + 79 = l, 4*u = 5*a - 223. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - n. Let v(r) = 16*r**2 + 2*r. Let h(j) = 6*g(j) + v(j). Let x(o) = -9*o**2 + 3*o. Let k(s) = -3*h(s) - 4*x(s). Let c(f) = f**2. Give k(c(a)).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (-1 + sqrt(448) + 1)) + (sqrt(252) + 0 + sqrt(252) - -2*sqrt(252)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/8 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 871*t - 871*t. Let l(x) = x - 4 + 4. Calculate l(a(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -322*f**2 - f + 2. Let k(c) = -14*c. Determine q(k(x)).\nAnswer: -63112*x**2 + 14*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -34, -16, 20, 80, 170?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - p - 4*p + 6*i - i = -6*i - 111, 0 = 5*p + 5*i + 65 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 611791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91197 is divided by 339.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 61*-865080\nAnswer: -52769880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -34827*a**2 - 702*a + 351. Let b(p) = 199*p**2 + 4*p - 2. What is -351*b(x) - 2*m(x)?\nAnswer: -195*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -5. Let u = w - -14. Suppose 2*g = -3*x + 1, 5*x + u*g - 3 = -g. Which is the third biggest value? (a) -1 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-16 - (-24 - -8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z. Let s(l) = 10*l. Give s(d(k)).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1416)\/708)\/(9\/414*(-56)\/(-2)).\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168) - sqrt(3168)*-2) + sqrt(22))\/(sqrt(6)\/sqrt(3)*1).\nAnswer: 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114 - -103) + 8 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a. Let n(t) = 3*t**2 + 18*t. Let l(w) = 5*n(w) + 18*s(w). Let m(u) be the third derivative of 7*u**4\/24 + 6*u**2. Calculate l(m(r)).\nAnswer: -147*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9 + 0*x**3 + x**3 + 10*x**2 + 17. Let v be u(-10). Factor -8\/5 + v*z - 10*z**2.\nAnswer: -2*(5*z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49\/2 - 25. What is the biggest value in -1\/4, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/(g*g**(-8))))\/g))\/g**16 assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - -243. Suppose -2*w - 193 = -219. Calculate the greatest common factor of w and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 559, 878, 1115, 1228, 1175, 914, 403?\n\"Answer: -7*v**3 + v**2 + 365*v + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1361116 and -13\/258536?\nAnswer: 46277944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120 + -202)\/((-13 - -17) + -2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 4627 + 26443 = 0. List the prime factors of g.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3, -179, 2, 3, -2 in descending order.\nAnswer: 3, 2, -2, -3, -24, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20284\/27, -2, -0.4, 19, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (7 + -12)) + 1 + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 33688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -290059 - 1?\nAnswer: -29005a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -o - j, 73 = 4*o + 445*j - 450*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -16\/31, -0.2, 3, 17\/21, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 2\/(3 + 0 - 1). Let c be (-143)\/(-39) - 4\/r. What is f in -8\/3*f - 8\/3*f**c + 2\/3 + 2\/3*f**4 + 4*f**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (48\/(-5))\/(-4)*(-31)\/(-16) and 8\/64*6\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1692 + -8463\/5. What is the third biggest value in -68, d, 4\/5?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 94*l - 1. Let o be q(-5). What is the common denominator of 59\/10 and 2\/5 + o\/240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 3*k**3 + 5*k**2 + k - 4*k**3 + 5. Let j be w(6). Calculate the highest common divisor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from yhvavhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 35*f - 3. Let a be l(-2). Let b be ((-2)\/3)\/((-6)\/(-9)). Does 25 divide 3 + (-2 - b - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - 1*sqrt(960))*-1)\/(-6*sqrt(36)\/sqrt(3) + sqrt(48)\/sqrt(36)).\nAnswer: -9*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(1\/2)*k)\/k))\/k)**(2\/71)\/(k\/k**(-1))**(1\/33) assuming k is positive.\nAnswer: k**(-175\/2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 1. Let y(x) = -3*x + 1. Determine 3*y(r) - 2*z(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -20518222.\nAnswer: 5\/20518222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 8 = 4*m, 0*m - m - 5 = 2*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 147154 to the power of 1\/2, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 5, 53, 0.0353?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 m when four letters picked without replacement from bbmmmmmmmmbmmm?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -735 - 675 - 858 + 544 - 558 - 1878*h wrt h?\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 621 - 499. Let w be r\/(-48) - 1\/6. Is -6 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -1.95. Let x = 1 + j. Let q = -0.4 - -0.3. What is the third biggest value in q, x, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + (28\/8)\/7*-2. Let m = 97 - x. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12395838?\nAnswer: 2, 3, 7, 13, 73, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from efk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 11*i - 13. Let m be c(9). Suppose -3*z + 2*z = 3*o, -m = -2*o + z. Let p be 1 - o - (-3 - 2). Solve p = -u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {c: 1, u: 2, k: 4, y: 2, l: 1, m: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/36 and -38\/117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)*x)**(-2\/3)*x**(-2)*(x\/x**(-7))\/x assuming x is positive.\nAnswer: x**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f44 - -9?\nAnswer: -f3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 99207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*c**3 - 3274*c**4 + 3269*c**4 + 228*c**3.\nAnswer: -5*c**3*(c - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -612 (base 16) to base 10.\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 53.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91620, 183244, 274868, 366492, 458116?\nAnswer: 549740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-29)\/((-319)\/(-22)))*52?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -25. Let n be 8 - p\/((-4)\/6). Let u(t) = -t**3 + t + 88. Let l be u(0). What is the highest common divisor of l and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - 3.8. Let h be (-35)\/10 - 1\/1*-2. What is the second biggest value in h, 4, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -1)\/((-14)\/(-63)). Let t(l) = -2*l**2 + 41*l - 16. Let x be t(u). Suppose -73*p = -x*p - 252000. What is p rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(2\/7)*a)**(-1\/3)\/(a*a**0*a**(-7\/2)) assuming a is positive.\nAnswer: a**(67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-100))\/((-3)\/2 + 0).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-394)\/(-1773)*1134\/(-3)*(-4)\/6\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 458.2312km?\nAnswer: 458231200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*(a**9\/a*a*a)\/a))\/a*a**(-4))\/(a*a*a*a**(-1\/2)\/a)**(-22))**(-7) assuming a is positive.\nAnswer: a**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.5. Which is the nearest to 3? (a) f (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -247\/6, 1, -2\/9, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 458748737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + -77. Suppose 3*s = 79 + b. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221 + 12?\nAnswer: -22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001121221 + -11?\nAnswer: 10001121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 13267.\nAnswer: 2\/13267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -75. Let g be 146\/(-8) - (-15)\/w. Let m be g\/(-95)*(-3 + 1). Which is the second smallest value? (a) m (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.31 + 1.35. Let m = p + 8. Let h(w) = w**2 - 2*w - 3. Let r be h(4). Sort -2\/3, r, m in ascending order.\nAnswer: -2\/3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c - 7*c - 19*c**2 - 10*c**2. Let r(z) = z. Determine o(r(a)).\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 210002313 (base 4) to base 3\nAnswer: 21111112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4867b (base 12) to base 6\nAnswer: 2032235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {h: 1, s: 4, v: 2, q: 1, y: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) - (sqrt(1440) + (sqrt(1440)*2 + sqrt(1440) - sqrt(1440) - sqrt(1440)))*-2 - sqrt(1440) - sqrt(1440))\/(sqrt(16)\/((sqrt(22)*-5)\/sqrt(11))).\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 8 = -4*v. Let h = -4 - v. What is the third derivative of h*t - t**4 - 7*t + 2*t**2 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - -0.5. Let f = -1 - -0.9. Suppose 0 = 9*z - 6*z, 0 = k - 5*z - 3. Put k, x, f in ascending order.\nAnswer: f, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.43 + -2.4038. Let o = u - 0.0262884. What is o rounded to 6 dps?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Let f = 0.394 + 1.576. Let s = 3.03 + f. What is the third smallest value in 0.2, s, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2 + 6*v. Suppose 0 = -13*t + 15*t + 22. Let u(g) = g + 17. Let q be u(t). Let c(i) = 17*i**2 - 11*i. Determine q*c(s) + 11*a(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(56\/(-24)). Let t = 4 - 1. Which is the second smallest value? (a) k (b) t (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.2, -2\/13, 51 in increasing order.\nAnswer: -6, -2\/13, 0.2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1133 and 4738?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020743 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 z, and 1 y when four letters picked without replacement from czypzyyzzppz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7294)\/(-4) - 1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**2\/4 + 26230*q - 137602580 = 0.\nAnswer: 10492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 + f - 2. Let r(z) = -3*z**3 + 9*z**2 - 10*z + 4. Let c(l) = r(l) - 4*w(l). Give c(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -4*n, 2*n + 2 = 4*a - 4. Let v = 5 - 4. Put a, -4, v in descending order.\nAnswer: a, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519668, 519669, 519670, 519671, 519672, 519673?\nAnswer: 519674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.7835011 to the nearest integer.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/2 + 95*x**2\/2 + 1091*x + 1044 = 0.\nAnswer: -58, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 148408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106837433?\nAnswer: 1399, 76367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/4)\/t)\/t)**(-15\/8) assuming t is positive.\nAnswer: t**(75\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**8\/20160 + h**5\/60 - h**2. Let k(t) be the third derivative of q(t). Let s(i) = 261 - 261 - 4*i**2. Give k(s(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1599670066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26289585170 - 201.\nAnswer: -26289585371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*l - 468*l = 56*l - 53750 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*((-15)\/10)\/(-3). Let y = -5 - -8. Suppose 0 = y*g - 11 - q. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -23*v**6\/360 + v**4\/8 + 7*v**3\/3 - 27*v. Let h(r) be the second derivative of k(r). Differentiate h(o) with respect to o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/((-18)\/10 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98391 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcroff. What is prob of sequence vof?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9918 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/5417 - -6064\/4306515. Let z be (0*4\/12)\/1. Is z less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9240\/572 - 34\/221?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from lbbbbblblbbblb?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 185*u + 390.\nAnswer: -5*(u - 2)*(u + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w**2 - 13*w**2 - 5*w**3 - 32*w**2 - 9*w**2.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + r = -9, s = r - 0*r + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*m + 4*m + 49 = 0, 0 = v + 3*m + 47. Let k(a) = a + 60. Let g be k(40). Let t = g + v. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0.0532, 2 in increasing order.\nAnswer: -3, 0.0532, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27333.\nAnswer: 3, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 611809.8 years?\nAnswer: 611.8098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 4*d + 0*d + (-1 + 0 + 2)*(-3*d - 3*d + 7*d) + (-8 + 2 - 1)*(-2 - 1965*d + 1805*d + 0) to s + j*d and give j.\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 1, u: 2, n: 2}. What is prob of picking 1 u, 2 n, and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220331 (base 5) to base 3.\nAnswer: 101102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 25. Suppose u - 11 = -2*v - 0*v, 2*v = u + c. Let f be 0 + 1 + v\/1. Are f and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 143?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(6\/(-1215)*-5). Let x = o - -86. Solve x*m - v - 18 = -4*v, 4*m = 5*v + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1232 + 1233. Sort 0.3, 60, z.\nAnswer: 0.3, z, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) -67 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y - 2*y - y + 1. Calculate the remainder when r(2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239*g**4*x + 29*g**4 + g**3*x - 547*g**2*x - 52*x wrt g?\nAnswer: 5736*g*x + 696*g + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112210212 (base 3) to base 15.\nAnswer: 32eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1005 - 997. Let z(h) = -10*h. Let q be z(-2). Calculate the highest common divisor of i and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 + 5510*q + 1518005 = 0.\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8 - 2 - 18\/(-12). Calculate the common denominator of 37\/38 and r\/22*(8 + -111).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74593433?\nAnswer: 17, 43, 102043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*g*o*p**3 + 138*g*p**3 + 3*g*y**2 + o*p**3*y - o*p*y - o*y**2 - 3*p**2*y - 230*y**2 wrt g?\nAnswer: -30*o*p**3 + 138*p**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 408.3449 litres?\nAnswer: 408344.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*f - 114*f = -4. Suppose 2*z = -0*k + k + 18, -k = -4*z + 38. Let n = z + -14. What is the third smallest value in f, 2\/3, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q + 0 + 557*q**2 - 555*q**2 - 1. Let a(i) = 5*i**2 - 32*i + 46. Let n be a(3). Determine d(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 15*h + 6. What is n(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -192 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**8)\/a)**30)**(2\/9) assuming a is positive.\nAnswer: a**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Give q(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 241?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 5 + sqrt(7) + -2)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5\/3, 1.8 in ascending order.\nAnswer: -5\/3, -1, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 677074 or 677072?\nAnswer: 677072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by -4 + (-188)\/(-8) - (-5)\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288014.164 rounded to the nearest one thousand?\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/9*(8\/48)\/(245\/(-1764))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.991209 rounded to 1 dp?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c. Let v be o(-6). Let i = v + -34. Solve -j + i + 0 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -31.\nAnswer: 16\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -30. Suppose -5*p + 0*p = n + 15, -4*n - 22 = p. Suppose 4*c - 2*c = 2. Sort n, c, o in decreasing order.\nAnswer: c, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 6\/(-12))\/(-7 + 16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8*m + 7. Let d be y(7). Let i be 2 - (-3 + 1)*1. Let r = i - d. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 3, 6, 9, 12, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, 49, -2\/7, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -3*y - 37, -12540*o + 12537*o + 99 = -5*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by (87\/(-2))\/(57\/(-76)).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302242958 to the power of 1\/3, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -276 and -284 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -273 + 271. Suppose 4*s - 2 = -5*h, -1 = h - 2*s - 7. Suppose -1 = -5*y - h*a + a, 3*a = 4*y - 16. What is the biggest value in g, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 3. Let f be u(-6). Let h(r) = 5*r**2 - 3*r**2 + 2 + 3*r - 4*r**2 + f*r**2. Let w be h(-3). Let o(b) = -6*b + 2. Determine o(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + w - 9. Give n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 1. Let k be m(-1). Let f = 288.5 - 288. Which is the closest to k? (a) -1\/3 (b) -2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -211*d + 110. Let f be b(5). Let n = -665 - f. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/63 and 31\/15?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1559 - 3121. Is 8 a factor of (1 + -2)\/((-14047)\/q - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 20724728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*d - 26. What is the second smallest value in 3, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(180)\/sqrt(3))\/sqrt(5))\/((sqrt(4) - (sqrt(4) - sqrt(4)*-2) - sqrt(4))*4) - -6*sqrt(27)\/(-2*sqrt(324) + sqrt(324))))**2.\nAnswer: 169\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1056 and 113\/33048972.\nAnswer: 264391776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) -2 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151376 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Suppose 0 = 2*u - 2*x - 8, 0 = 4*u - 5*x - 12 - 5. Which is the second smallest value? (a) -1\/4 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2857233, -5714531, -8571829?\n\"Answer: -2857298*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssiisssis.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871887417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264998661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (1 - 2))\/1. Suppose 6*r - 8*r - 3*h + 7 = l, 0 = -3*r + 4*h + 36. Solve -v + 3*v = r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131.3335 - 0.188\nAnswer: 131.1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9582.2 decades in years?\nAnswer: 95822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -i - 10, 2*i - 30 + 5 = -3*l. Suppose 2*f + 4*g + 181 = l*f, -5*g - 130 = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 545 + 681. Suppose -4*m + b = -2*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3123926 months in centuries?\nAnswer: 0.0010936605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (602\/172)\/(14\/680). What is the highest common divisor of 2108 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6641)\/(-116))\/(1\/4)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24033554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72153239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26734 - -29956. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from xurzgkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 2, s: 3, f: 6}. Give prob of picking 1 c and 2 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -34\/5*k - 36\/5 + 2\/5*k**2 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12978 - 1729.874703.\nAnswer: -14707.874703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35302 and 5605?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-552)\/(-21) - (1443\/(-39) - 762\/(-21))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -49113.\nAnswer: -4\/49113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108242\/41 + 2640. Which is the closest to -1? (a) h (b) -4 (c) -3 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**4 - 5*j**3 + 462*j**2.\nAnswer: 168*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -34. Suppose 9 + 11 = 5*s, 5*n = 4*s + c. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 8*i - 8\/3*i**4 - 8\/3*i**3 + 6 + 0*i**2 + i**5. Let g(x) be the first derivative of r(x). Find a, given that g(a) = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**2 - 272684 - 3345*u**3 + 707*u**3 + 274429 wrt u?\nAnswer: -15828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t**2 - 38*t. Let x(g) = g**2 - 4*g. Let r(q) = -4*s(q) + 38*x(q). Let w(a) = -18*a**2 - 219*a + 2. Determine w(r(n)).\nAnswer: -72*n**4 - 438*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -25) + (4 + -18 - -11) + 6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*161.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3))\/q**(-25)*((q*q*(q\/((q*q*q*q**(-5\/4))\/q)*q)\/q)\/q)\/(q**(-13)*q))**(-1\/2) assuming q is positive.\nAnswer: q**(-145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1760862nm to millimeters.\nAnswer: 0.0000001760862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:24 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/160*7\/((-189)\/12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, 8\/7, -3\/7, 3\/20, -2\/11, 39?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -33*m**2 + 1. Let s be k(-1). Let j = 200166.4 - 200166. Which is the third smallest value? (a) 0.04 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10490 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjooojokeoeppopop. What is prob of sequence ekp?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18 = j. Solve 2*a = -j*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 43740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1211 - 71252?\nAnswer: -72463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(130) - ((-2*sqrt(130) - sqrt(130)) + sqrt(130))) + sqrt(130) + sqrt(130)))\/(sqrt(160)*-2).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**4 + 2. Let r(o) = 12*o**4 - 3. Let u(p) = 6*r(p) + 5*y(p). Differentiate u(a) with respect to a.\nAnswer: 68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1995.897 - 1997. Let o = 0.503 + k. Are 1\/14 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = 29*j + 3*j + 22 + 6 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/12 + 4*y**3\/3 + 957*y**2 + 1. Suppose 3*h - 16 = -h. Let x be (-145)\/(-20) - 1\/h. Determine r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 510*y - 16361. What is m(32)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) -5 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9847037 to the power of 1\/2, to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/11)\/((-162)\/(-594))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -18)*2\/(-4). Let w(y) = 4*y**2 - 3*y + 8. Let m(z) = z**2 - z + 3. Calculate i*m(n) - 3*w(n).\nAnswer: -4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let q = 95 + -97. Let a(h) = h - 4. Let i(x) = x + 1. Let j(z) = q*i(z) + a(z). Give w(j(v)).\nAnswer: 2*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 381264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.2 times -0.023?\nAnswer: -0.6026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11354720, -11354718, -11354716, -11354714?\nAnswer: -11354712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -13.9. Let h = u - -2. Which is the second biggest value? (a) -3 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 11 (c) 15 (d) 10 (e) -0.4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 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: What is -1101022 (base 6) in base 7?\nAnswer: -315236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 3*l - 2. Let y(n) = 9*n**2 - 120*n + 12. Let q(a) = -6*g(a) - y(a). Suppose q(f) = 0. Calculate f.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 + -4. Suppose 4*w - 19 = -3*p, p - 3 = -2*w + 6*p. Let l be w\/6*9\/39. Put 2, f, l in decreasing order.\nAnswer: 2, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21*a = -78. Let k(s) = -s + 6. Let r be k(9). Let g be r*5*(-24)\/72. Solve -4*u = -a*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(2\/141)\/(h**7\/(h**10\/h)))**32 assuming h is positive.\nAnswer: h**(9152\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) 5 (b) -166 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/(a**(-5\/6)*a))**(-24) assuming a is positive.\nAnswer: a**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11) + (-868 - -865) - (-20 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:47 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + 294\/77. Suppose 0 = -4*r + p, -2*r = -0*t + 4*t - 10. Suppose i - 62 = 2*q - 331, t*i - 127 = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212102110020 + 11?\nAnswer: -11212102110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13210210 (base 4) in base 5?\nAnswer: 1443022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 412111 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 + 4*x**3 + 3*x**3 + 3*x**3 + 0*x**3 - 5*x**3 + (x - x + 2*x**2)*(3*x + 0*x - x) - x**3 + 5 - 5 + (7*x**2 - 2*x**2 - 2*x**2)*(-x + x + 3*x).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -3\/4 (b) -5 (c) -312\/227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 = c. Let m(f) = f**2 - 2. Is m(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 6 = 14*m. Let b(g) be the second derivative of 0*g**2 - 1\/6*g**4 + 0 + m*g + 1\/3*g**3. What is the second derivative of b(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 + 3 + -3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -472, 23, 0.2, -0.3 in decreasing order.\nAnswer: 23, 0.2, -1\/4, -0.3, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 86*b**3 - b. Let o be v(1). Suppose -36 + o = 7*n. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -69. Suppose 10*s = 4*s + t. Differentiate s - 13*o**4 - 13 - 128*o + 128*o with respect to o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 2.79. Let t = x + 0.2900027. Round t to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376 + 378. Which is smaller: 19\/13 or z?\nAnswer: 19\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -565*t - 625*t - 2 + 363*t - 307*t as u + r*t and give r.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -40. Let q = i + -107\/4. Let z be 1*1\/10*2. Which is the second biggest value? (a) q (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -79 in decreasing order.\nAnswer: -5, -12, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7633600?\nAnswer: 2, 5, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13093*x - 8880. Is w(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 3, m: 4, h: 2}. What is prob of sequence byh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2. Let i = 25 + -32. Let w(f) = -2*f**2 - 13*f + 9. Let h be w(i). Let g(t) = -7*t**h + 10*t**2 + 16*t**2. Give g(p(c)).\nAnswer: 76*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -18. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.07 - -0.07. Let p = -8 - -5. Which is the nearest to -8? (a) 5 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -71*g. Let d(i) = -1117194*i**2. Determine p(d(r)).\nAnswer: 79320774*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11706982 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/(g**(-1\/2)\/g)*g)\/(g**10*g))\/((g**(-6\/5)\/g)\/g*g**(-5)))**(-19) assuming g is positive.\nAnswer: g**(-513\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/32*-4)\/(1\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.529 + 0.171. Let t = -0.05 + -0.95. Is t bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43469 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 60 = -80. Suppose 0*n - 6 = -2*n. Let r = 6 + -3. Solve 2*c = -c - r, n*x + m*c = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**2 + 2*v + 1. Let o be -2*1 - (0 + -26 - -1). Suppose 0 = -5*x - o + 38. What are the prime factors of f(x)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -499 (b) -3 (c) 1 (d) 79 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 6. Let s(a) = -13365*a. Determine g(s(k)).\nAnswer: 13365*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - 3*t**2 - 18*t. Let g(q) be the third derivative of -q**5\/12 - 13*q**2. What is g(i(d))?\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 10. What is the lowest common multiple of (-3*2)\/((-4)\/(-16) - 1) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 20. Calculate x(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 3*x**2 + 3*x - 3. Let p be c(2). Suppose -3*m - 5*a = 19, 5*m - a - p = 4*m. Suppose 2*h - m = -0*h. Put -3, h, 5 in descending order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*i - 15*i - 12*i + 29*i**3 - i**2 + 48*i - 7*i as h*i**3 + u + t*i**2 + g*i and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/5))\/s*s*s**(6\/7)*(s**(3\/2)\/s)\/(s\/(((s*(s*s*s*(s**(5\/6)\/s)\/s*s*s)\/s)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(377\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let t = 7 + x. Suppose 13 = t*g + 5*v, 3*g + 5*v = 4*g - 14. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4\/2 - 9080460*f**3 - 18323333107236*f**2 - 12324945701512825392*f - 221843085920261197848 = 0. Calculate f.\nAnswer: -2017874, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/3 - (-3)\/3. Let o be 6\/(-4)*(-10)\/l. Suppose o*q = 148 - 53. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29305978147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6932530 and -19.\nAnswer: 131718070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5720652.7 times 1\nAnswer: 5720652.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9676, -19360, -29032, -38686, -48316, -57916?\nAnswer: -67480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/(1\/20). Let o be 4\/(-6) - 16\/(-6). Suppose 0 = o*v + 2*v - 40. Solve t - 28 = 4*c + 3*b, -2*c - 4*b = v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -104 and -0.281.\nAnswer: -104.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -344, -847, -1598, -2615, -3916?\nAnswer: -5519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.95 minus 0.3?\nAnswer: 486.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9980.959 years to centuries.\nAnswer: 99.80959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 4*z = -25*y + 3378, 5*z + 6744 = 2*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 637 - 576. What is the remainder when n is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*q**2 - 4*q + q - 571*q**2.\nAnswer: -1043*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2952813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from jcjjjjcjj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from bov?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -1.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 679 = 40*f. Let t = 130 + f. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 + 2*y - 1. Let t be l(4). Let z(c) = 3*c + 7. What is the tens digit of z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 6 - -2*(-20)\/(-8). What is the fourth biggest value in 1\/5, 5, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 174?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/7 - 726*p**2\/7 - 1446*p\/7 - 722\/7 = 0 for p.\nAnswer: -361, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/z)**5*(z**(3\/8)*z)\/(z*z**(3\/5)) assuming z is positive.\nAnswer: z**(-159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322217 + 0.044163.\nAnswer: -322216.955837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9044*a**5 - a**3 + 758*a**2 wrt a?\nAnswer: -542640*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 16, z: 2}. Give prob of sequence zzww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.254*0.1.\nAnswer: -4.9254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*c - 15 = -c, 4*y - 4*c - 12 = 0. Let b(j) = -3*j + 7*j - 2*j - y*j. Let w(q) = 6*q. Calculate w(b(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.608 - 685104495.\nAnswer: -685104500.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 741110472*y**2 - 100*y + 167005?\nAnswer: 1482220944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 14*o - 48. Suppose 4*b + 94 = -1066. Is b\/(-15)*o + 4 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.19014 to two dps.\nAnswer: 87.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1760038.\nAnswer: 2, 7, 125717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -402. Let c = l + -162. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/18 and -107\/21910146.\nAnswer: 65730438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*h + 218237 - 218237.\nAnswer: 290*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*d - 3*d - 38, 2*p + 5*d = 31. Suppose -137*j + 3097 + 7315 = 0. Calculate the remainder when j is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1197 - 1200. Let z = 1718\/13 - 132. What is the nearest to 3\/4 in -2, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 24224 + 24226 - 48450 + 785*c**2. Let q(w) = -3*w**2. Calculate q(f(r)).\nAnswer: -1848675*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(66\/(-12))*-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 101?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 580*a - 1678*a - 31842 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6270 is divided by 2083?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 115 - 0. Suppose -4*c = r + 17. What are the prime factors of (-64)\/c + 2\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 13, 67, 177, 361, 637, 1023, 1537?\n\"Answer: 3*u**3 + u**2 - 8*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g + 9*g - 995 - 1933 = 0. Solve 62*f = g*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**3 - 144\/5*w + 0 - 2\/5*w**2.\nAnswer: 2*w*(w - 9)*(w + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -104. Let f = i + 14. Calculate the remainder when 130 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -0.3918959843.\nAnswer: 0.1918959843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.10714 and -287319.\nAnswer: -287320.10714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6)\/(577731\/6623540 - 2\/23). Is 1874 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 41 (b) 3 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 19331.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -32*t**2 - 20*t + 132. Let o(w) = 13*w**2 + 8*w - 53. Let r(c) = 5*i(c) + 12*o(c). What is q in r(q) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoh when three letters picked without replacement from hqqssooif.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -21 - 17\/2*j**2 + 4*j. Calculate the least common multiple of 3 and v(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 48. Let g(q) = -14*q**2. Let z(c) be the first derivative of c**3 + 111. Let t(x) = u*z(x) + 3*g(x). Let y(m) = 4*m**2. What is y(t(a))?\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = c + 13409, -29*c = 3*o - 28*c - 8047. List the prime factors of o.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 8 + 3. Let p(w) = -w**3 + 4*w**2 + 4*w + 7. Let o be p(5). Suppose 2*r = 6, x + 18 = 3*x + 4*r. Put x, n, o in increasing order.\nAnswer: n, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*2*(-57)\/57\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -1\/2*z**2 - 28 - 5\/12*z**4 + 7\/6*z**3 + 3*z - 1\/20*z**5. Calculate x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258344269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - (-28)\/45. Let m = 0.03 - -0.27. Let y = 0.2 - m. Which is the second smallest value? (a) q (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + 33*x**3 - 39*x**3 + x**4 - 3*x**2 to n*x**3 + f*x**2 + u*x**4 + b + v*x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 + 12*y + 8. What is g(11)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 2*g + 17, 0 = -3*i + 12*g - 7*g - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15713*x - 219967. Give t(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjeeqjq. What is prob of sequence jj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -42.4 and -657215 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = 5*r - 0*g, -4*g + 16 = 2*r. Let n = 74 - 72. Suppose -n*j + 6 = -5*o - 2, 5*j - 20 = 0. Solve 5*q + r*c - 10 = 0, o*c = -2*q - 2*c + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 25 = 11. Suppose 7*o - 5*k = 10*o - 28, -o + 2*k - 9 = 0. Solve -2*l = -s - o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-24)*(-4)\/(-70). What is the smallest value in i, -1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 9960?\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 37708*r - 37912. What is y(1)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 267391491.4 to the nearest 100000.\nAnswer: 267400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54710901.9 rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 26*j**2 + 23*j + 36. What are the prime factors of l(-24)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 14*y**2 - 442*y - 6413. Determine i(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 - 97*u + 2247. Give f(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*p = 13300, -5*p - 25 = -0*p. Let s = -331 + 339. Suppose 3*x + b = s*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 116*b. Let c(d) = 4*d - 3. Let g(f) = 18*f - 15. Let v(n) = 10*c(n) - 2*g(n). Determine v(y(t)).\nAnswer: 464*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*v - 2*v. Suppose 0*d + v = m - 3*d, -2*m + 10 = 5*d. Solve -p = -m*l - 22, -l + 4 = 2*p - 3*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*h + 57940 = 123*h. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2593576 = -2*i - 7*i, -5*j + 2593584 = i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*j - 41, 2*k - 36 = -4*j + 6*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x + 0)*(-2 + 2 + 2) - 6*x + 3*x + 2*x + (0*x - 4*x + 2*x)*(59 - 417 + 183).\nAnswer: 353*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590.3551s in minutes?\nAnswer: 43.172585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i**3 + 7*i**2 - 7*i**2.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 - b**2 + b - 1. Let t be d(1). Let c = 13 - 3. Let w(a) = -a**3 + 9*a**2 + 9*a + 10. Let p be w(c). Solve p*o = -o + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 22*w + 123. Is n(27) a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-91)*(6 + (-152)\/16))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -64*j + 71*j. Let h be (-16)\/(-5) + 0 - j\/(-20). Solve -2*p + 7 = 3*p + 2*r, -r = h*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 16 + 373*v**2 + 2*v**2 + 22*v**2 + 204*v**2 to z*v + w*v**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.4 - 4.6. Let u = -17 - v. Is u not equal to -0.47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2282)\/(-489)*(-6)\/(-7). Let p = 30 - -6. Suppose 0 = 4*g - 7*g + p. Solve y - g = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*r + 347 - 658 + 350, 0 = 6*w - 11*r - 65 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f - 25*f + 61*f - 15*f. Let h(b) = b**3 + 5*b**2 + 3*b + 3. Let g be h(-3). Let z(q) = -2*q + g*q**2 - 5*q**2 + 2*q. What is a(z(k))?\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57.0679339 - -54.25793219. Let t = 473 + -475.81. Let s = t - q. What is s rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-4)*(-244 - -248)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199535.6 days to milliseconds.\nAnswer: 17239875840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*y - 8, 0 = -2*m + 7*m - y + 4. Let b(v) = -2*v**2 - 2*v + 28. What is the tens digit of b(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/3 - 469*t\/3 + 104284 = 0. What is t?\nAnswer: -841, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 9 - 8*g**2 - 2*g - g**3 + 2*g**2. Let k(a) = 6*a**3 - a**2. Let w be k(-1). Is z(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4abaa9 (base 12) to base 15.\nAnswer: 1926b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 - 181. Let q = 1.7 - 8. Let f = -1.3 - q. Which is the smallest value? (a) z (b) f (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 99245*a**2\/3 - 2183027*a\/3 + 12005983\/3.\nAnswer: -(a - 99223)*(a - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2728630.11 - -2744197. Let f = d + -15732. Let j = f - -168. What is j rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 440\/(-75)*15\/10. Which is greater: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1310?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -66377?\nAnswer: 66400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 13*x + 18. Let w be y(-5). Let v(z) = 2*z**2 + 2*z + 2. What is the remainder when 128 is divided by v(w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 2883, 9725, 23049, 45015, 77783?\nAnswer: 123513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21942 by 477.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -6*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 1610.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.0205 + 76. What is m rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 7 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1302 - -1302.5. What is the closest to -0.16 in 1\/7, n, -4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -27 - (4 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 21*i**3 + 3*i - 13*i**3.\nAnswer: -34*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3, 0 = 4*z + b + 14 - 59. Suppose d - k = k + z, 69 = 4*d - k. Suppose -5*i = d - 78. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-5)\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 2*m - 2*m + 0*m**3 + 3*m**3 - m**3 + (m - 2 + 2)*(m**2 + 3 - 3) + 4*m**3 - 4*m**3 - 2*m**3 - 16 + 16 - 24*m**3 + 0*m + 0*m - 2*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 62601?\nAnswer: 62564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 - 2*f**2 + 8*f + 9. Let i be b(-4). Solve 201*v - 16*v**4 - i*v + 4*v**5 - 8*v**2 + 20*v**3 = 0 for v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56470 is divided by 8067.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-238)\/51*(-42)\/(-4). Let h be (-4)\/(-16) - (-275)\/4. Let j = m + h. What is the highest common divisor of 160 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8837, -17651, -26471, -35303, -44153, -53027, -61931, -70871?\n\"Answer: -p**3 + 3*p**2 - 8816*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -89, -9, -1, -0.03?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 371*m + 148. Calculate s(-1).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59599, -59579, -59559, -59539, -59519?\nAnswer: -59499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51138, -51140, -51142, -51144?\nAnswer: -51146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*c**6 + 443*c**2 - 48*c**6 - 8*c**4 - 34*c**6 + 465*c**2 wrt c.\nAnswer: -15360*c**3 - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221021000021 + 1021?\nAnswer: 22221021001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*v - 334*v = 330*v + 154 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(832) + (sqrt(104)*1 + sqrt(104) - sqrt(104))\/sqrt(8))**2 - (2 + sqrt(13) + 1 + 1 + -1).\nAnswer: -sqrt(13) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 32. Let d(f) = 31. Let n(k) = -5*d(k) - 6*t(k). Let a be n(-6). Which is smaller: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/3 + 616*h**4\/3 + 622*h**3.\nAnswer: -2*h**3*(h - 311)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 5*c**4\/24 + 3*c**2. Let l(s) = -s - 3 + 3. Calculate l(f(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v - 6. Let f be w(-2). Suppose -4*s = 4*g, 4*g = -f*s - 3*s - 1. What is the closest to -1\/2 in 0, g, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6719.\nAnswer: 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 28*d**5 + 340*d**4 + 580*d**3 - 260*d**2 - 608*d - 80 = 0.\nAnswer: -10, -2, -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5324 to the nearest one hundred.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 7*f - 8. Let d(h) = h**2 - h + 1. Let u(r) = 3*d(r) + m(r). What is u(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 610*h**2 + 62*h - 1. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071327266 to six dps.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 6. Suppose 0*y + m = 3*y. Calculate the lowest common multiple of 15 + 3 + -2 + -2 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = g. Let v = -9 + 9. Differentiate -5*j**4 + g*j - 3*j + v - 3 with respect to j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 8*t - 3. Let s be w(11). Suppose 4*q - 2*q = s. What is the remainder when 43 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/5 + 162*g**4\/5 - 830*g**3 + 30118*g**2\/5 + 73344*g\/5 + 38912\/5 = 0?\nAnswer: -1, 19, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 13}. Give prob of sequence vvee.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*a + 32. Suppose 4*b = -a*o + b + 693, b = -5*o + 858. Suppose 0 = -3*l + 4*l - 19. What is the greatest common factor of l and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*z + 7. Let p(m) = 77*m + 35. Let c(j) = 13*j + 6. Let r(v) = 35*c(v) - 6*p(v). What is the units digit of r(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5. Let x(t) = -4. Let a(p) = -5*n(p) + 6*x(p). Let i(v) = -v**2 - v. Let f(d) = 1. Let c(r) = 2*f(r) - i(r). What is 4*a(z) - 2*c(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*w + 23 - 3 = 0, 4*w = -4*a. Suppose -i + 40 = a*j - j, 3*i + 10 = j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 4 + 4.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + 0.11. Let d = p - -0.08. Let u be (-1 + -4)\/(1 + -2). Sort u, d, -2\/5.\nAnswer: -2\/5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26213 = -54*u + 80005. What are the prime factors of u?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -614716\/23 or -26726?\nAnswer: -614716\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 288.7 times 6\nAnswer: 1732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1 - -162) + (-16)\/4. Suppose -2*i - 3*i + a = -j, i - 48 = -4*a. Calculate the remainder when 122 is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 120*d + 117.\nAnswer: 3*(d + 1)*(d + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6)*-2)\/(12\/(-72))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -221, -393, -599, -833, -1089, -1361?\nAnswer: -1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 0.8. Let p = 24.7 - 25. Let t = 4.3 + p. Which is the closest to y? (a) t (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.3997035 to 2 decimal places.\nAnswer: 353.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 588, 952, 1386, 1896, 2488, 3168, 3942?\nAnswer: 4816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6041422 = 24765*g - 59060*g - 965762 for g.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.0363 * 20\nAnswer: 20.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15250 * 6.4\nAnswer: -97600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let o(q) be the first derivative of q**5\/60 - 3*q**2 + 5. Let d(k) be the second derivative of o(k). Calculate d(s(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424052307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6848, -13698, -20548, -27398?\n\"Answer: -6850*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9))**(1\/35)\/(u**(-2)*u)**40 assuming u is positive.\nAnswer: u**(12598\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, k: 1}. What is prob of sequence nk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890.75029 less than 45.5?\nAnswer: 1936.25029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1031 + -1028. Sort 2, f, 160, 4 in decreasing order.\nAnswer: 160, 4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/(d\/d**(-2\/9)*d)*d)\/d*d)**(-19)\/((d**0*d)\/d*d*d**3)*d\/d**(-5\/4)*((((d\/(d**(-1\/9)\/d))\/d)\/d)\/d)\/d*(d**(2\/3))**(-2\/11) assuming d is positive.\nAnswer: d**(-4955\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036548 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - 3\/(-6)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -7, -15, 432 in increasing order.\nAnswer: -15, -9, -7, -2, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 23504 - 8176 = -34*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1*sqrt(1500) - sqrt(1500) - sqrt(1500))*1)\/(((sqrt(200)*2 - sqrt(200))\/sqrt(8))\/(sqrt(5) - (2*sqrt(30))\/sqrt(6))))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -186035 >= -5767101\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-138)\/(-4))\/(-1))\/(6\/(-8)). What is the highest common factor of 253 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 41. Put c, 3, -19, 0 in descending order.\nAnswer: 3, 0, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071316072 - -5090783?\nAnswer: 5090783.071316072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146801884 by 4.\nAnswer: 36700471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.72493 kilograms to tonnes.\nAnswer: 0.03572493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 478 times 0.3\nAnswer: 143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448) + sqrt(448) + 1)*-4*4.\nAnswer: -16 + 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/7 + 56368*w**4\/7 + 1053248*w**3 + 322556072*w**2\/7 + 4838233924*w\/7 + 4522994216\/7 = 0. Calculate w.\nAnswer: -43, -1, 14222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from rcc?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238563*m**2 - 558*m**3 - 403*m**3 - 238561*m**2.\nAnswer: -961*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8991570\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 239\/5 (b) -5\/2 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (8 - (6 + -2 - 7) - -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6) - ((-6)\/4)\/(-3). Let r = m - -5. Solve 4*l = -16, 3*y - r = 5*l - 8*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1 + sqrt(7) + 1 + -4 - (-1*sqrt(567) + 0 + sqrt(567) - 4*(sqrt(567) + (-2*sqrt(567) - sqrt(567)) - sqrt(567))))**2 + 0.\nAnswer: 384*sqrt(7) + 64516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584) - sqrt(1584)*-2)) + 0 + -3 - (0 + sqrt(1584) + -2 + -3))**2.\nAnswer: -144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/8436 and 5\/104.\nAnswer: 219336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/16 - (-17)\/(-4). Let c = 10 + n. Suppose -w = -19 - c. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281795400 rounded to the nearest one hundred thousand?\nAnswer: -281800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.2677 + 0.0323. Let l = k + -52. Let h = l + -4.5. Which is the smallest value? (a) h (b) 1\/3 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k - 16 - 44 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/2)\/7)\/((-12)\/168)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18183 + -18183. Let t be (-20)\/(-6) + 1\/(-3). Let d be 2\/1 + (-8)\/t. Which is the nearest to -5? (a) d (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 1. Let s be l(-1). Suppose -b = -5*u - 0*b + 298, -3*u + 183 = -s*b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -565, 4, 0, -2 in increasing order.\nAnswer: -565, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/2100*-15)\/(49\/(-14))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xif when three letters picked without replacement from ffmmmmimfxifmmfm.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -4*z - 21. Let n = z - 8. Sort -3, n, -6.\nAnswer: -6, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:17 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1 (c) -0.5 (d) -4\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 10*u - 69. Calculate the remainder when 294 is divided by w(8).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*l*t**3 - 3*l*t + t**3 + 11*t wrt l?\nAnswer: -69*t**3 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 287195215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -18. Let j(q) = s + 0 + q**2 - 5. Give j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.91695 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 513?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -1\/3, 561?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 21*q - 6. Let b be k(-9). Let f be ((-12)\/21)\/(b\/(-147)). Solve 4*g - 13 = -w, -2 + 17 = f*g + 3*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2617*v**3 + 654*v**3.\nAnswer: 3271*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22288 + 22287.000032. Let h = 10 + -9. Let m = h + y. What is m rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(10*(-7)\/(-140)*(-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48475757 rounded to three decimal places?\nAnswer: 1.485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5348?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let o(q) be the first derivative of -3*q**2\/2 - 3*q + 115. Determine -o(d) + x(d).\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -13, -1 in ascending order.\nAnswer: -146, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**4\/24 + 10*k**3\/3 - 40*k**2. What is the units digit of w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139120689 and -4.\nAnswer: 556482756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*d**2 - 307*d**2 - 36*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(380)\/sqrt(10))\/sqrt(2))**2 - sqrt(190)\/(sqrt(10)*5).\nAnswer: -sqrt(19)\/5 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.7, -1\/3, -3\/7 in descending order.\nAnswer: 0.7, -1\/3, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**3 - 19*u**2 - 44*u - 12. Let f = 308 - 304. Let d(y) = 99*y**3 - 75*y**2 - 177*y - 48. Let k(a) = f*d(a) - 15*p(a). Factor k(q).\nAnswer: 3*(q - 2)*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 3*q + 8. Let h be b(-4). Suppose -2*r = -0 - h. Solve 5*n + 15 = r*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/9*i**2 - 2\/9*i**4 - 4\/9*i - 8\/9*i**3 + 0 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2*h**3\/3 - 7*h**2\/2 + 3*h + 20. Let b(o) = 2*o**2 + 7*o - 4 + 2*o + 7*o - 8*o. Calculate 5*b(m) + 6*j(m).\nAnswer: -2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7307, 7312, 7321, 7334?\n\"Answer: 2*s**2 - s + 7306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27 (b) 2\/9 (c) -4 (d) 0.5 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.8. Let g = p - -0.2. Let d = -198 + 2180\/11. What is the nearest to 1 in g, 1\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -18067156\nAnswer: -1\/18067156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 108235, 432688, 973443, 1730500, 2703859?\n\"Answer: 108151*i**2 + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8731 + 8729.9. Which is the closest to 0? (a) -6 (b) o (c) -8\/5 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*r + 31, 8*y - 4*r - 52 = 3*y. Let j = -6 + y. Suppose 0 = t + j - 10. Calculate the lowest common multiple of 12 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-10))\/((-12)\/(-90)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 18*x + 9. Let k be h(13). Suppose 9*m + k = 608. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 370434 - -45?\nAnswer: 370479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4513438\/6 - (1036\/(-84) + 12). What is g rounded to the nearest one thousand?\nAnswer: 752000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 721893 in increasing order.\nAnswer: 3, 13, 721893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25635315?\nAnswer: 3, 5, 101, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 26. Let q be (9\/l)\/(1\/(-4)). Suppose -q*n + 2 = -x - 18, 0 = -2*n + 3*x + 11. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let v(f) = -f - 5. Let q(l) = -p(l) - v(l). Let x be q(-5). Let u(w) be the third derivative of -w**5\/60 - w**4\/4 - w**3 - w**2. Calculate u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17*i**2 + 41*i + 52. Let t(k) = -20*k**2 + 40*k + 53. Let d(y) = 7*m(y) - 6*t(y). Factor d(a).\nAnswer: (a + 1)*(a + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 8 = 4*w, 3*j + 9 = 3*w - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b34 + -1?\nAnswer: -1b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 + 9*b. Let l be c(-5). Suppose 77 - 7 = l*x. Suppose -a + 5 = -2*s, 2*s + a - 5 = s. Solve -k - 4*t = k - 8, s = k - 4*t + x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48780049.\nAnswer: 19, 2567371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.01 and 175.9.\nAnswer: 4926.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1622538894 and 54.\nAnswer: -1622538840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*y = 18, -6*j + 3*y + 7 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -269*y**3 + 2413*y**2\/4 - 130*y - 1 = 0.\nAnswer: -2\/269, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 - 118*d + 73. Let s be v(23). Let u(n) = 341*n**3 + 77*n + 77. Let i(m) = -9*m**3 - 2*m - 2. Determine s*u(q) + 154*i(q).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595535 is divided by 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (280\/(-500)*5)\/((-42)\/35)*(-744)\/(-84)\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68215 and 630?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*h + 10 = -191*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 642654*m - 37267204.\nAnswer: -2*(m + 58)*(m + 321269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(1\/4))\/g)\/g)**4\/(g**(1\/3))**(41\/4) assuming g is positive.\nAnswer: g**(-101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 85*f - 817. What is g(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let c(b) be the second derivative of 2\/3*b**4 - b + 0 + 0*b**3 + 0*b**2. Determine p(c(i)).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1620324302*f + 12*f**3 - 1620324302*f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otom when four letters picked without replacement from {m: 5, o: 8, t: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11)*w)\/(w**(15\/4)\/w))\/(w**7*w*w\/((w\/(w*w**15))\/w*w)) assuming w is positive.\nAnswer: w**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10032\/(-704))\/((-3)\/8) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1\/2))**(-4)\/((t**7*t)\/(t\/t**(-4)))*(t**6\/t**(-3\/4))\/(t**(1\/5)*t**7) assuming t is positive.\nAnswer: t**(-269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-2 + 11 + -4) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enqtsentesssssseesnq. Give prob of sequence et.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1498 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 149 (b) -0.08 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426167 = 62*z - 97175. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.7, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/25 + 3176*s**3\/25 - 2*s**2\/25 - 3176*s\/25 = 0.\nAnswer: -1588, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 389\/41 bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 2:59 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 17*i**2 - 55*i - 31. Let d be y(-13). Let w(c) = 2*c**2 + 3*c + 3. Let v be w(-2). Solve -2*l + 17 = 5*s, 3*s + d = 2*l + v*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -96. Suppose -3*r + 115 = -170. What is the greatest common factor of z and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2113014131 to the nearest integer?\nAnswer: 45968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 11 - 11. Let h(f) = -2*f. Let b(t) be the second derivative of t**3\/3 - 7*t. Let p(y) = 6*b(y) + 4*h(y). What is m(p(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11181106 - -413730298\/37. Let o(u) = 33*u**2 + 5*u - 6. Let p be o(-5). Let i = r - p. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101581706.\nAnswer: 2, 50790853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4 + -20154?\nAnswer: -20090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 + 160*b**3 - 1704*b**2 + 2912*b - 1372 = 0. What is b?\nAnswer: -49, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 134*t + 1294. Determine j(-13).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12579 and -16466?\nAnswer: 207125814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110046 or 2\/7?\nAnswer: -110046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1\/3, 5, 1\/4, -182, 2, 44 in increasing order.\nAnswer: -182, -1\/2, 1\/4, 1\/3, 2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*x - 326 = -2*f, 5*f - 522 = -3*x. Suppose 2*g - 8*p - f = -4*p, -p = -3*g + 173. Calculate the highest common divisor of g and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 9469369?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -23\/2. Which is the third smallest value? (a) 0.4 (b) -2\/23 (c) u (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + 1) - (-39 - -41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112004466 (base 7) to base 14\nAnswer: c994a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 101728591\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1 - v**2 + 34*v - 7*v - 2*v - 25*v. Let g(t) = t**2 + 2*t - 2. Let j be g(-4). Let p(f) = -8*f**2 - 2*f + 7. What is j*w(s) - p(s)?\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 609, 898, 1171, 1422?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3*z**2 + 2*z + 3. Let g(o) be the second derivative of o**5\/20 + o**4\/3 - o**3\/3 - 2*o**2 - 173*o. What is -3*g(n) - 4*x(n)?\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 164\/1637?\nAnswer: 164\/1637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1477280 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3 = -3*h - 25, -5*w = -h + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1245 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/21 + 1\/7. Suppose -j + 26 = d. Calculate the greatest common divisor of 288 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from jpfjhfpjjhpp?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {s: 1, t: 3, q: 2, g: 4, m: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = -43*h + 420. Let f be (15\/7)\/(18\/126). Calculate the greatest common factor of f and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2. Let t be j(-2). Let r = -238\/5 - -48. Let w = -26\/15 + r. Put t, w, -4\/7 in descending order.\nAnswer: t, -4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10 - 2*w**2 - 3 - 7. Let n(x) = -17*x. What is n(a(p))?\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 22. Let p = 14 - a. Suppose 2*q - 24 = -2*j - 2*j, 0 = -p*j + 4*q. Solve o = -o - j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 70. Let w = -815 + 7352\/9. Let x = w + 41\/45. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*y + 3 + (-2*y - 3*y + 3*y)*(-4 - 1 + 1) + 3*y + 5*y + 0*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - v + 23, -5*t = -2*t + 3*v - 9. Find the third derivative of 1 - 2*l**t - 1 + l**2 + 3*l**5 wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 + 20*z**2 + 24*z + 14. Let q(d) = -2*d**3 - 7*d**2 - 8*d - 5. Let o(g) = -3*i(g) - 8*q(g). What is the remainder when o(9) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**3 + 1030*o + 11*o**3 - 13*o**2 - 3*o**3 - 1028*o - 1 in the form g + x*o + y*o**3 + p*o**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -27\/5, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f + 320. Let i be m(-29). Sort -10, i, -11.\nAnswer: -11, -10, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**2 + 583*x + 1178.\nAnswer: 4*x + 583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31145786765 - 31145746958.040022. Let q = -39807 + i. Let w = q - -0.04. Round w to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = r - 62. What is the greatest common divisor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * 1834\nAnswer: 385.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/(-2795)*90\/(-24).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 - 21*z)*(-21*z**3 - 3 + 21*z**3 + 2*z**4 + 0*z**2 - 2*z**4 + 0*z**2 + (2*z**3 + 3*z**2 - 3*z**2)*(2*z - 2 + 2)).\nAnswer: -84*z**5 + 63*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.435 + 0.065. Sort 0, 112, k, -1\/5 in descending order.\nAnswer: 112, k, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39825152*i**5 - 4*i**2 - 288898*i + 2.\nAnswer: -2389509120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*v + 339 = 922*v + 1428 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**5 + l**4 + 157*l**3 + 4768*l**2.\nAnswer: 180*l**2 + 24*l + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 8*j + 6. Let f be q(7). Let m be f - ((-3 - -2) + 3). Let v(y) = 6*y - 5 + 1 - 5*y + 0*y. Determine v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 7*s**2 + 10*s + 16. Let t be f(-8). Solve t*x - 3 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.22, -0.2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 11*g**3\/6 - g**2 - g. Let j(f) be the first derivative of -8*f**2 + 3*f - 119047. Give -7*c(p) - 5*j(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 871528 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 557*d + 235 + 3776 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2002*z**2 - 28024*z + 49. What is i(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13323 + 213101\/16. Calculate the common denominator of 38\/(-285) - 102\/3360*26 and b.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d - 56. Let n = 4 + -2. Suppose 110 = n*i + 12. What is the remainder when i is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89, -350, -789, -1418, -2249?\n\"Answer: -2*l**3 - 77*l**2 - 16*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 147. Let x be o(0). Let a = -1618 + 1606. Let n = a + x. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/33675939 and -41\/77.\nAnswer: 235731573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/8 of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 5. Let m(c) = -2*c**3 + 2*c**2 - 1. Let q be m(v). What is the units digit of (-2 + q*2)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 90\/17 in descending order.\nAnswer: 90\/17, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -0.03, 1\/2, 0.06 in ascending order.\nAnswer: -0.03, 0.06, 1\/2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -27876 and -27875 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(1\/7)*o)\/o*(o**6*o)\/o*o)\/(o*o**0)**(4\/9))\/((o\/o**(-3))**(-23))**(1\/2) assuming o is positive.\nAnswer: o**(3446\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.1945 milliseconds in microseconds?\nAnswer: 635194.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from ispgpppvpbppbi.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 135 = 41. Suppose -2*m + 146 + k = 0. Calculate the highest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 - 5*b**3 - 3*b**4 + 2*b**3 + 3*b**4 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + k + 1. Let v be a(2). Let d(s) = 23*s - 10. Let q(x) = -71*x + 29. Let l(n) = -8*d(n) - 3*q(n). What is the units digit of l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0161940986 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cectctk. What is prob of sequence keee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -108957907, -217915812, -326873717, -435831622?\n\"Answer: -108957905*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = -m, -10608*m + 10613*m + 2*y = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-70))\/(46\/115).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2002 + 2006. Solve 5*h = 10, 0*o - 5 = -o - k*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 110 + 198920*j.\nAnswer: 198920*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (297\/(-165))\/(3\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2054.\nAnswer: 5\/2054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496 and 22920.\nAnswer: 1421040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 + 4*y**2 + 8*y + 5. Let o(t) = -t**3 + t + 1. Let s(l) = -j(l) + 5*o(l). Let z(x) = -x**2 - 26*x - 107. Let w be z(-21). Give s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1662 + 1661.31. What is the fifth smallest value in -3, 1\/2, 5, q, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10)*35\/14)\/((-91)\/28).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 0. Let j(h) = 2*h**3 + 3*h**2 - 7*h + 9. Let k be j(5). Let f = -299 + k. Solve -x + f - 2 = s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 8*f - 5. Suppose 6*b - b = -4*c, b - 3*c + 19 = 0. What is the remainder when (88\/(-4) + -8)\/((-6)\/4) is divided by o(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 168? (a) -2211 (b) -3\/7 (c) -0.5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 122. Let g(k) = 5*k**2. What is u(g(r))?\nAnswer: 10*r**2 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:09 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 - 1. Let y(g) = -6*g**3 - 14*g**2 + 10*g + 4. What is -4*q(o) - y(o)?\nAnswer: 2*o**3 + 2*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4400) - sqrt(4400))\/(-2*sqrt(242) + sqrt(242)))\/(-3*sqrt(1331)*-1 - sqrt(1331) - (sqrt(1331) + 1*-1*sqrt(1331))).\nAnswer: 15*sqrt(2)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/(s**(1\/2)\/s))\/s)\/s*(s*s**(-6)\/s)\/s)\/(s\/(((s\/s**(-1\/7))\/s*s)\/s))**(-39) assuming s is positive.\nAnswer: s**(391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -25*v - 4*v. Put 47, v, -5 in descending order.\nAnswer: 47, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.87 and 0.3.\nAnswer: 16.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*b - 9 = 3, 4*b = -3*c + 15. Let l = c + 1. Suppose 5*m - 8 = 3*m. Are l and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1854?\nAnswer: -1852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/25 (b) 0.3 (c) -2 (d) -232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52510 - 63155 = -11*b. Calculate the highest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62928.9*-3\nAnswer: -188786.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-17)*m**(3\/7))\/(m*m**(-4\/5)*m\/m**10) assuming m is positive.\nAnswer: m**(953\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290737, 1163007, 2616791, 4652089, 7268901, 10467227?\nAnswer: 14247067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20100 (base 4) to base 16\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/2 - 428*k**2 - 180589*k\/2 + 557283 = 0.\nAnswer: -431, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*i + 1729 = -48*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/120 - 2*k**5\/15 - 5*k**4\/24 + 3*k**3\/2 + k**2. Let y = 79 - 86. Determine q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = -6, 5*s + 5*r = 10. Let u be -6 + 1 - 4\/s*12. Sort 5, -4, u in decreasing order.\nAnswer: 5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -5 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 f when three letters picked without replacement from kqnfqqqqknhnq.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**2\/2 - 6*x + 1. Let k(t) = 2*t - t - t - 2*t + 15. Let g be k(10). Determine z(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 7.93. Let u = g + -8.08. Let f = -0.22 + u. Which is the smallest value? (a) f (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p - 47*p = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -120*h - 1466. Calculate q(-14).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7))**(-3\/7))**(2\/49)*((l\/(l\/(l\/(l\/(l*l*l**(-7\/2))))*l))\/l*(l*l\/(l\/(l*l**0)))\/l)\/(l**(-8)*l**(-3\/2)\/l) assuming l is positive.\nAnswer: l**(19154\/2401)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 6. Suppose 4*r = b*r - 92. Let g = r - 10. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 2*k + 2. Let w(u) = u**2 - u - 2. Determine -2*l(a) - 3*w(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 7*b**2 + 5*b + 6. Let j = -151 - -156. Determine f(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10545259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*o**3 - 3380*o**2 + 10146*o**2 - 3379*o**2 + 4*o**3 - 3387*o**2.\nAnswer: 161*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i + 3915. Let n = i + 2. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 94.\nAnswer: 56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12084, 48591, 109846, 196185, 307944?\n\"Answer: 56*s**3 + 12038*s**2 + s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubbu when four letters picked without replacement from {b: 8, u: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 33369 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:03 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.3, -20, 4 in decreasing order.\nAnswer: 4, -0.3, -3\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1413, 2811, 4197, 5571, 6933, 8283, 9621?\n\"Answer: -6*y**2 + 1416*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 46 = -1. Let y = g + -7. Let h(m) = 3 - 5 + y + 7*m. What is h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v + 18070. Let w = v - -8900. Is w\/(-10) + 0 + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2. Let x(d) = -d**3 - 82*d**2 - 1356*d + 20. Let q be x(-23). Let h(a) = a - 2. Let n = 6 + -8. Determine n*f(y) + q*h(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(140) - sqrt(140)*2)*-4 - sqrt(140))\/sqrt(7) + -3)*-1.\nAnswer: -6*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1*(-4)\/(-106)). Let p = 158 - j. Suppose -4*a + 37 = -2*a + m, -5*a - 3*m + 90 = 0. Calculate the greatest common divisor of p and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -14 - (37036\/591)\/((-17)\/(-3))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 7*i**2 + 2*i - 8. Let z be a(-5). What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -25. Suppose -c + n = -0*c + 2*a, -a + 9 = c. Suppose -8 = 2*z + 2*q - c*q, -4*z + 29 = 5*q. What is the smallest common multiple of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658539834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.49579 micrograms?\nAnswer: 0.00000000949579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + x + (5*x - x - 2*x)*(4 - 3 + 0))*(0*x - 2 - x + 3*x) - 598 + 598 - 905*x**2 to the form a*x**2 + t*x + r and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 19 = 5*g, 28*g - 24*g = -2*w + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83732, -83418, -82894, -82160?\n\"Answer: 105*s**2 - s - 83836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(162)\/sqrt(9))\/sqrt(9))**2 + (-1*sqrt(1210))\/sqrt(5).\nAnswer: -11*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 - 15 + 14 - l + 3*l**2 - 10*l - 26*l to p*l + a*l**2 + g*l**3 + x + v*l**4 and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from {v: 1, e: 1, f: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -10. What are the prime factors of -3 + 2 + -1 + f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let m(n) = -12*n - 18. Let t(l) = m(l) + 4*p(l). Let s(q) = -7*q - 17. Let h(o) = -5*s(o) + 4*t(o). Find the first derivative of h(z) wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)**(-28\/3))**(1\/2) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -5\/7*w**7 + 0*w**5 + 0*w**4 + 0*w**6 - 1\/3*w**3 + 11*w - 9\/2*w**2 + 0. What is the second derivative of r(v) wrt v?\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/28089 and 15\/5126.\nAnswer: 143984214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7428 - -8618. Calculate the highest common divisor of 4046 and g.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(38 - 4*g**2 - 38)*(-6 + g + 6).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54670 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14 - -1) + (-162)\/189.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.415, 2, 33, 1\/5, 0.4, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*u = 156*u - 5*d + 17, 0 = -5*u + 5*d - 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 - 2*m - 5. Let z be p(-6). Let q be (-1)\/((-3)\/18)*z. Let b = 449 - 444. Solve b*h + 17 = q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*o - 2. Let y = 29 + -23. Suppose -y*g + 5*n + 90 = -g, n = 2*g - 32. Solve -g = -4*v + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 + 52*x**5 + 4393*x**3 - 4*x**2 - 1009*x - 157 wrt x.\nAnswer: -360*x**3 + 3120*x**2 + 26358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -105, -101, -97, -93?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04334 (b) 0.3 (c) 2.386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 4. Suppose -3*f - 196 - 196 = a*w, -4*w - 2*f = 396. Let v = -46 - w. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3650246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344*j = 2*v + 2*v - 1342*j, -v = -2*v + 2*j - 5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 3\/5, -2\/9, 3, -0.037, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2))))*-6)*3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1152*c + 15. Let s(y) = -15893*y - 207. Let m(z) = -69*q(z) - 5*s(z). Let t(p) be the third derivative of 2*p**4\/3 + p**2. Give t(m(b)).\nAnswer: -368*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520985 is divided by 6035?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3 - 1\/12*o**4 + 0*o - 2*o**2 + 0*o**3. Let s(h) be the second derivative of a(h). Let t(d) = -3*d. Give t(s(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3edd08 (base 16) in base 14?\nAnswer: 793568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 1. Let k = -5 + 4. Calculate h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-10291492\nAnswer: -3087447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/2*(1 + -10). Let l(d) = 8*d - 10. Let u be l(8). Suppose -2*a + u = a. What is the greatest common divisor of q and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/24)\/((-6)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 27*u - 456. Give f(15).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 4. Give w(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(1\/22)*l\/((l*l\/(l*l\/(l\/(l**13\/l)))*l)\/l)*l**(3\/4) assuming l is positive.\nAnswer: l**(1681\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -89. Solve h*x = 3*v - 12, 5*x + 0*v + 5*v = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49576541 to the nearest integer?\nAnswer: 7041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 a factor of 2198304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4628 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1*b**(10\/9)*(b\/b**13)\/(b*b*b*(b**(7\/2)*b)\/b*b) assuming b is positive.\nAnswer: b**(-313\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/60*5)\/(75\/(-40)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(5*sqrt(48)\/sqrt(8)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/24 - 3\/4. Suppose 2*i - w*i - 2 = 0. Does 4 divide (2*-7)\/i + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-36)*z*z))\/(z**(-36)*z)*(z*(z\/(z*z**22*z))\/z*z)**(33\/4) assuming z is positive.\nAnswer: z**(-221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (-11 + (27 + -15 - (-1 - 8)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-23)\/((-1518)\/220). Solve j - a = 2*z, 4*j = -3*z - 2 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*s - 3, 4*s - 1 = 2*i - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by (-3)\/(-9) + (-10)\/30*-164.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + (-32 - -22 - (-29 + 1)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*-2*2)\/((sqrt(7) - sqrt(63))*-1))\/(-1*sqrt(108) + 2*sqrt(108)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 7\/2. Let z be -2 + (-1)\/(-3) + 1. What is the second biggest value in v, 3\/4, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402163487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 8*b**2 + 17*b - 14. Let v = 749 + -759. Determine d(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-2 + sqrt(84))\/(-3*sqrt(1452)).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2805517035 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414583920 to the power of 1\/2, to the nearest integer?\nAnswer: 20361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 - -0.3. Let a = 0.337 + -0.067. Let o = w + a. What is the biggest value in 3\/5, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 355, 780, 1209, 1642?\n\"Answer: 2*g**2 + 419*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(72) + sqrt(48)\/(sqrt(24)\/sqrt(4)))*1)\/((sqrt(440)\/(sqrt(30)\/sqrt(3)))\/(sqrt(22)\/(sqrt(4)\/sqrt(2) + sqrt(2)))).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 120 = -0*h - 3*h, 0 = 4*m + 2*h + 116. Let p be (-6)\/m - (-50)\/18. Solve 4*a + 3*t + 1 + 9 = 0, p*a - 4*t = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19760, 19348, 18936, 18524, 18112, 17700?\nAnswer: 17288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + 1)\/(-3) + 3. Let f(j) = j**2 - 3*j - 2. Let q be f(t). Suppose -q*x - 3*x + 25 = 0. Solve 0 = -x*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p - 4. Suppose -5*f = z + 21, 2 = -f - f - 2*z. Let m be s(f). Let b be (-2)\/(-3*(-2)\/m). Solve 0 = b*t - q - 6, 3*q + 0 - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o - 3*o**3 + 143*o + 2*o**3 + 48*o.\nAnswer: -o**3 + 227*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/k*k*k)**(-46)*(k**(-2)*k)**49 assuming k is positive.\nAnswer: k**(-187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -389118 divided by -6\nAnswer: 64853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1178040493 and -1178040495 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 163. Let r = -18 + f. Calculate the smallest common multiple of r and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 e when four letters picked without replacement from cccecee?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -273*p + 4500. What is the remainder when 280 is divided by i(16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**2 - 81*m + 50. What is o(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y - 2 = 0. Let j(g) = g**3 - 4*g**2 + 5*g - 3. Let u be j(3). Let r be (1 + -3)\/(2\/u). Put y, r, 1 in decreasing order.\nAnswer: 1, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/42, 2\/5, -1\/8?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:09 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**2 - 18. Let z(l) = -8*l**2 - 9. Suppose 7*j - 6*j - 2*d + 4 = 0, 4*d = -2*j + 32. Give j*y(q) - 11*z(q).\nAnswer: -2*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -80. Let t(q) = 2 + 3 + q**2 + 6*q + 2. List the prime factors of t(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10812.\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-245)\/(-4))*-21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253 - -5?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -3 + -105 + 0 + 20.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 13. Suppose 0 = h*o + 2*o. Suppose o = 6*g - 4*g. Solve 4*c - 4*v + 12 = 0, -2*c + g = -5*v + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -141*c. Let g(x) = 80*x + 12. Let i(p) = 66*p + 10. Let t(u) = -5*g(u) + 6*i(u). Calculate l(t(z)).\nAnswer: 564*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 5. Let h = 0 + -12. Let w be 66\/(-14) + h\/42. Let v be n(w). Solve -3*p - p = -4*c - 12, v = 2*c - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 8 = 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*(-2142)\/(-6188)*((-9)\/3)\/(9\/(-16)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 429697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*y = 5*y + 4 - 23, -2*y + 43 = -37*f - y + 640 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4147, -13516, -28111, -47932, -72979, -103252?\n\"Answer: -2613*f**2 - 1530*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 7 + 81 = 0. Let w = 275 - o. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Differentiate -2*p**3 + 4 - 3 + 0 + p**n with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 28. Suppose 0*f = f - t. What is the second derivative of f - 19 - v - 3*v**3 wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -206*l**3 + 17*l**2 - 28*l - 11. Let r(n) = -69*n**3 + 6*n**2 - 10*n - 4. Calculate 4*b(v) - 11*r(v).\nAnswer: -65*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2\/13*v**2 + 39 + 10\/39*v**3 - 2\/13*v**4 + 2\/65*v**5 + 0*v. Let n(o) = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - -6. Let b = 60 - 26. Calculate the highest common factor of b and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, v: 6}. What is prob of picking 1 l and 1 v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-4 + -2) - -2. Let u = -0.06091 + -0.03909. What is the smallest value in f, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b + 0*b**2 + 2*b**2 + 0*b. Let r(u) = -3*u - 2839 + 2*u + 2839. Calculate y(r(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 1\/2, 12, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (5 + -1 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22049ac - a7?\nAnswer: -2204a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 2*l + 30. Let k be v(7). Let u(a) = 4*a**2 + 7*a - 7. Let q(i) = 6*i**2 + 10*i - 10. Determine k*q(p) + 7*u(p).\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1224580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.3 and -0.118184.\nAnswer: 3.2264232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*c = -786*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 0*y**2 - 3*y**2 + 11*y**3)*((4 - 4 + 2)*(y**2 + 0*y**2 - 2*y**2) + 4 - 4 - y**2).\nAnswer: -18*y**5 + 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1124 - 2*q**3 - q**4 + 2*q**3 - 579 - 559 + 24*q**2 to the form g*q**2 + a*q**4 + d + s*q**3 + h*q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 302*o**3 + 15300*o**2 + 265000*o + 250000.\nAnswer: 2*(o + 1)*(o + 50)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 150978917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 1270*i + 1270*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-56) + (24\/(-8))\/(-12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -71. Let d(g) = g**2 - 20*g + 7*g + 84 - u. Let m be d(11). Let r(l) = l**2 - 9*l + 9. Determine r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4\/3 + 6632*i**3 - 8462844*i**2 + 537072624*i - 8744112432 = 0.\nAnswer: 33, 2454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 + 126. Let g be 2*-1 - p\/15. Let t(d) = d**3 - 4*d**2 - 4*d - 1. Let j be t(g). Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223522310 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120987, -121075, -121225, -121437, -121711, -122047?\n\"Answer: -31*i**2 + 5*i - 120961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and -161\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 2, y: 1}. Give prob of sequence jy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3*2\/(-6))*(-168)\/(-294)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2161179621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - k - 1. Let t be z(-1). Suppose t*w + 5 - 1 = 0. What is the lowest common multiple of 11 + w\/(6\/3) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -100522993\nAnswer: -201045986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1277700 and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) 104 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from sspcpcsspppcpcp?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*b + 265*b - w - 11 = 0, -13 = 5*b - w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32406, 2\/9, -0.2, -65?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1135670*z - 507836?\nAnswer: 1135670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/24 - 2*n**3\/3 + 7*n**2. Let z be x(8). Let g be 142*(-1)\/36 + z. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g**3 - g**3 + 3*g**3)*(3*g - 3*g + 2*g**2) + 1 - g**5 - 1 - 81*g**5 - 52 + 52)*(-1 - 1 + 5).\nAnswer: -252*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 19914*d**2 - 49560966*d + 49580882 = 0. Calculate d.\nAnswer: -4979, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5233*r = 5227*r + 124 + 38 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from zbokdzbzbooob.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641275 + -0.4?\nAnswer: 641274.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 87. Solve w = -0*l - 2*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*k = 329*k - 1316. Which is bigger: k or -33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160420 (base 7) to base 3.\nAnswer: -1121002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 358. Let h = x + -172. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:19 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2721?\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19289.1 - -19289.0906889. Round h to five dps.\nAnswer: -0.00931","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 1. Let s(g) = -2*g**3 + 8*g**2 - 3. Let w = -486 + 845. Let x = w + -360. Give x*s(n) + 6*v(n).\nAnswer: 2*n**3 - 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 3504?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 811225*f**4 - 15*f**3 + 11985263*f**2.\nAnswer: 19469400*f - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, 4, 1\/6, -50 in descending order.\nAnswer: 4, 0.5, 1\/6, -0.2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 6*o - 9. Let c be k(-5). Let l = c + 149. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(85\/350) + (-6)\/51. Suppose 9 + 4 = 5*c - 2*v, -8 = -t*c + v. Are c and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/7650 and 121\/2550.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2402e7 (base 16) to base 15.\nAnswer: -31940e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/2595 and -19\/67470.\nAnswer: 67470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/18881 or 1?\nAnswer: -13\/18881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + h**2 + 3*h**2)*(281*h + 1796*h + 362*h) + h**3 - 6*h**3 + 0*h**3 as j*h**3 + l + n*h + g*h**2 and give j.\nAnswer: 7312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*160\/300)\/((-2)\/(-15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7 = 8*u. Let t be (12\/(-42))\/(u\/(-7)). Suppose 0 = 4*q + 2*j - 28, 6*q - 3*j - 38 = t*q. Calculate the smallest common multiple of q and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*7\/(-70) + (-6)\/(-20). Let y = -0.1 - 0.7. Let u = -1 - y. Which is the biggest value? (a) g (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*((-240)\/140)\/(30\/42))\/87.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 2410 = 10*g + 3*t, t = -5. Calculate the remainder when g is divided by 99.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43\/556860659 - 684216477565432553\/11137213180. Let q = 61422053 + t. Let c = q - -13102. Find the common denominator of c and -79\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 488 - 483. Let d = -5 - -4. Put r, 0, d in descending order.\nAnswer: r, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/7)\/((q*q**16*q)\/q)*(q**(-7))**(-4\/7) assuming q is positive.\nAnswer: q**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/5) + 25315\/(-10790).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(1*(-10)\/2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/3 - 7*c**2\/2 + 2*c. Differentiate i(w) with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42941055607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/(-4) - 4)*-4. Suppose 0 = -x*j - j + 4*f + 8, 2*j = 3*f + 5. Is 169\/2 + j\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9872, -40656, -91968, -163808, -256176?\nAnswer: -369072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 8:55 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2*52\/(-195))\/(63\/140)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 24. Let f be (2 + 2)*s\/8. Suppose -f - 14 = -4*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 49. Suppose n + 4*z - 25 = 0, -4*z = -0*z - p. Suppose q = 3*q - n*g - 2, -2*q = 3*g - 18. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608065 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 4. Let r = z + 1. Let d(v) = -3*v**3 - 3*v**3 - 1 - 4*v - 57*v**2 + 4*v**3 + 63*v**2 + v**3. Determine d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x**2 - 9*x + 18. Let b(j) = -21*j**2 - 19*j + 37. Let v(i) = 6*b(i) - 13*h(i). Is v(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(539) + -1*sqrt(539)*-4 + (-3*3*sqrt(539) - sqrt(539)))*-4)**2.\nAnswer: 1940400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-105) + 4\/14. Suppose -12*f + o*f + 7044 = 0. Round f to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8532538.\nAnswer: 2, 7, 17, 35851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12423 and 0.2?\nAnswer: -2484.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1.7. Suppose 8*v = -9*v - 272. Which is the second biggest value? (a) v (b) 2\/9 (c) r (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -25. Suppose a + 4*m = 8*m - 35, -a = 5*m + 53. Let i = a - l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5532*x**4 - 27675*x**4 - 71*x**4 + (-2 + 2*x**3 + 2)*(2*x + 2*x - 2*x) + 3 - x**4 - 3.\nAnswer: -22211*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611129 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -30. Let n be (-13 + 1)\/j - 1. Suppose 3*m = n*t + 145, t - 26 = -2*m + 59. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + j - 3. Let c be n(2). What is the closest to 0.1 in 1, 5, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/20)\/((162\/(-45))\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69\/4*g**2 - 33\/4*g + 0 - 3\/4*g**4 - 39\/4*g**3.\nAnswer: -3*g*(g + 1)**2*(g + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 42*l + 1 = 2*u, -3 = 4*l - 3*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*w + 22. Calculate the highest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(8) - (sqrt(288) - sqrt(288)*-1)).\nAnswer: 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = -0*i. Suppose -z - 5*a = -6*z + 35, i*z - 5*a = -1. Calculate the smallest common multiple of 2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310276 divided by 3\nAnswer: 310276\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 34*t + 72. Let p be n(36). What is the nearest to 1\/7 in -4, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*u - 2, -2*u + 21*q - 24*q = -24. Let j(f) = -3*f**2. Let g(s) be the third derivative of -s**5\/20 - 2*s**2. Determine u*j(w) - 5*g(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28522220?\nAnswer: 2, 5, 1426111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10 and 83\/1936532.\nAnswer: 9682660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2410 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115916, -231840, -347758, -463664, -579552, -695416, -811250, -927048?\n\"Answer: u**3 - 3*u**2 - 115922*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 + 150. Which is greater: r or 18\/31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3478, -13931, -31390, -55855, -87326, -125803, -171286?\n\"Answer: -3503*h**2 + 56*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1)*(-2)\/3. Let s be -2 - p\/((-4)\/(-14)). Suppose -4*f + s = f. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8. Suppose -3*f - 4*h + n + 19 = 0, -4*f + 2*h + 6 = 0. Let j(q) = -q**2 - 8*q - 8. Let c be j(-6). Solve f*u - c = -19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*u = 154*u - 126. Suppose -u*x = -21*x + 3321. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/1)\/(-1 + 2). Let c(z) = z**2 - z**x - 2*z**2. Let b(r) be the first derivative of 2*r**3\/3 + 2. Give c(b(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/((20\/(-24))\/5). Let y be 382\/14 + (-4)\/14. Suppose -y - 19 = -q*j - 4*z, -2*j - z + 52 = 0. What is the remainder when 52 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9863*j**2 + 4933*j**2 - 165 + 4929*j**2 - 3*j + (-5 + 4 + 3)*(0*j**2 + j**2 - 3*j**2) to s + k*j**2 + w*j and give s.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.77432 weeks to nanoseconds.\nAnswer: 42199508736000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 3. Calculate o(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 2059*b**3 + 13*b**2 + 17 - 2090*b**3 - 15 + 5*b in the form f*b**2 + k + g*b**3 + a*b and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.211 + -1.529. Let y = 18 - 18.56. Let g = v + y. What is g rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 6*p - 6. Let c be (8 + 0)\/2 + 2. Let v be (-3)\/(6\/4) + c. Calculate the least common multiple of d(v) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*b**3 - 16*b + 6*b - 1102 - 6*b**3 + 1102 as i + g*b + f*b**2 + u*b**3 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*k + 61564, 15408 + 61529 = 5*q - 2*k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 4*v - 4. Let x(j) = -2*j**2 + 9*j - 9. Let t(c) = -9*m(c) + 4*x(c). Let r(h) = -4*h. Calculate t(r(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 181078 times 0.04\nAnswer: 7243.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000375205317 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 100300?\nAnswer: 100300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1588818884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 + 82*v**2 - 271 - 26*v**2 - 261 + 56*v**2.\nAnswer: 112*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22287582563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*k - 11 = 7, 5*w = 2*k - 30 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/2059 and 11\/1411691.\nAnswer: 100230061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.7, 0.14, -2\/11, -2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/(-25) - (-1)\/5. Suppose -n*f + 5*t = 2*t + 134009, 5*t + 334985 = -5*f. What is f rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*1 - sqrt(720))*2 - (sqrt(720)*-1 + sqrt(720) + -1 + sqrt(720)))*-1.\nAnswer: -1 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2785 - -2782. What is the third biggest value in v, 1.35, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u**2 - 5. Let b(k) = -67516*k. Give n(b(y)).\nAnswer: -50142512816*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 4. Let t(u) = -24*u - 33. Let h = 18 - 51. Give h*b(p) + 4*t(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*i*t**2*w + 76638757*a**2*i*t*w + 916*a*i*t**2 - 15128*a*i - a*w wrt a.\nAnswer: 2*i*t**2*w + 153277514*i*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**2\/v)\/v*v)\/v)\/((v**(-2\/3)\/v)\/v))\/(v**(-1\/5)\/(v*v**5)) assuming v is positive.\nAnswer: v**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.1. Let g = 0.058 + -57.058. Let o = g + 57. What is the second biggest value in -5, o, m, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44877000 to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -21564.831 to the nearest 100.\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6518, 6519, 6518, 6515?\nAnswer: 6510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220 + 230. Let w = 29 + -29. Suppose -4*f - 16 = 0, w*a - 4*f = a - 112. What is the least common multiple of a and j?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53545323 (base 8) to base 5.\nAnswer: -10413031222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*w - 20, 3*t - 29 = w - 14. What is the tens digit of (t\/30*-3812)\/((-6)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.054 (b) -13\/1033 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 408000 = 32*r. Let v be r\/102*(136502 - 2). What is v rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -50)\/(-5 - (-19)\/6 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 6:12 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -171*m + 1745. Give p(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2792.4 + 2669.43. Let r = -121.59 + -1.41. Let h = p - r. Which is the closest to 0? (a) 5 (b) h (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.6, -2, 0.6, -4\/5 in decreasing order.\nAnswer: 5, 0.6, -0.6, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78374*r**2 - 123 + 123 + 54145*r**2.\nAnswer: 132519*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 64237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*x**4 - 12*x**4 - 15*x**4 + 29*x**4 - 23*x**2 wrt x?\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1008 and -65\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + -3 + -4*sqrt(847) + -5)**2)*5.\nAnswer: 3960*sqrt(7) + 68145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 6*i - 4. Let v be (-51)\/(-15) + 6\/(-15). Suppose n = -3 - v. What is f(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 l, and 1 m when four letters picked without replacement from lphlmophpmllo?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313 - -306 - (17 - -2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 1767*y - 2759463. Calculate g(998).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2. Let h(o) be the third derivative of -5*o**4\/24 - 3*o**2. Let u(w) = -w. Let t(l) = h(l) - 4*u(l). What is k(t(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 + 29958?\nAnswer: 299a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1808799402 to 4 decimal places.\nAnswer: -0.1809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-1) - (-12)\/(-6). Let p(m) = -m - 2. What is p(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.97 + -0.03. Let a be 6\/(-20)*5\/12. What is the biggest value in -3\/8, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/42)\/((-42)\/(-378))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -2*d - 85. What is the remainder when d is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 6*r**2 - 6*r - 1. Let u be (-18)\/12*(-16)\/6. Suppose -41 = 4*t + 5*j, u*t + 4*j = 2*j - 26. What is the tens digit of k(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -14. Let g = 9 + f. Suppose 5*c - 10 = g. Solve -2*o - c + 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 471 and 7?\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-40)*-2*-8\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**8\/72 + n**7\/63 - 23*n**6\/180 - 29*n**5\/90 - n**4\/9 + 4*n**3\/9 + 6*n**2. Find c, given that v(c) = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 323 + -289. Calculate the smallest common multiple of 18 and v.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -87*g + 22. Suppose 5*t + 3 = 2*t, 2*b - 2*t = -12. Is l(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 313 - 257. Suppose 38*f = 31*f + p. Suppose -3*d + 3*o = -3, -4*d + o + 5 + 5 = 0. Solve -d*x + 2 = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/(f*(f\/f**(2\/7))\/f*f*f)))))**33 assuming f is positive.\nAnswer: f**(627\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(14\/95308))\/(41 - 13110\/322)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317 divided by 2\nAnswer: -317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, m: 10}. Give prob of sequence mm.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 447098 + 0?\nAnswer: 447098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38*(-4 + (-7 - 159\/(-6))) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.1914 less than 46?\nAnswer: 103.1914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 4)*(-3 - 5 + 2)*(1 - 2 - 1)*(-7*o**3 + 2*o**3 + 0*o**3).\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/68 and -45\/187?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-90))\/((-184)\/27140) and (20\/(-25))\/((-44)\/(-230)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142007?\nAnswer: 142007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6003*t - 73758 + 343893 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r + 4 = -5*l, 0 = 3*r - 2*l - 5. What is the fourth biggest value in 0.16, r, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + x + 3)*(x + 0*x + 6*x) + (-1 - 1 + 1)*(2*x**2 + 2*x - 4*x**2 + 3*x**2) + (2*x + 2*x - 3*x)*(-6*x + x + 4*x) to o*x + p + f*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 25*z + 26. Let m(o) = -o**2 + 2*o + 1. Let f(v) = 2*m(v) + n(v). Let c be f(21). Solve c*l = 25*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069125.\nAnswer: 3, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/(5\/315*-70).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 497, 316, -541, -2074, -4283, -7168, -10729?\n\"Answer: -338*z**2 + 833*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*g - 10 = 0, -p + 0*p = 2*g - 10. Let k(q) = -10*q - 257. Let n be k(-26). Factor x**n + 1\/2*x**p - x - 1\/2.\nAnswer: (x - 1)*(x + 1)*(2*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 - 3*q**3 - q**3 + 6*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q + 32 = 0. What is the highest common factor of q and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 644 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -228730)\/(24\/(-96)). What is u rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133b6 (base 14) in base 13?\nAnswer: 1875b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -834 (base 14) to base 5\nAnswer: -22424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/22 and -25\/122168?\nAnswer: 1343848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 5, 0, -62, 4 in decreasing order.\nAnswer: 5, 4, 0, -52, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 9605 = 7*m. Let j = m + 814. Calculate the remainder when j is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w + 34*w = 63*w. Suppose 0*v - 5*v + 5*r + 7630 = 0, w = 2*v - r - 3055. List the prime factors of v.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 35 = 5*r - 3*r, -5*k + 110 = -3*r. Let q = k - 35. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) 2\/3 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 33*h**3 - 9*h**2 - 105*h - 66.\nAnswer: 3*(h - 2)*(h + 1)**2*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1292299083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -8*j + 0*j**2 + 0 + 1\/6*j**3. Let w be i(3). Which is smaller: 18\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, t: 2, w: 1, u: 1, y: 1}. Give prob of sequence wtnt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3)*3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxoxxxxokkxxxmxxx. What is prob of sequence mx?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -838 * -0.05.\nAnswer: 41.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25601 - 25597. Which is the third smallest value? (a) 3 (b) -3 (c) -0.2 (d) k (e) -333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 1, 0.5, 3, -3\/7, -0.102?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 14*y + 3. Calculate a(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 17977\nAnswer: 4\/17977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*m = 1101*m + 864 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 117\/63 - 2\/(-14). What is the highest common factor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -87, -86, -81?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148349 and 14061.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1\/4, -1996, -0.13, 2\/5 in increasing order.\nAnswer: -1996, -0.13, 1\/4, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267248\/41 - 6519. Let t = 2980\/33 + -278\/3. Find the common denominator of t and a.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 40 + 2010 = -5*z, -o - 4*z = 410. What is the common denominator of 182\/80 - (-574)\/o and (-95)\/(-14) + 3\/6?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 128*s**3 + 1008*s**2 - 512*s - 4096.\nAnswer: 4*(s - 2)*(s + 2)*(s + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 195 times -32\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76720 = 7*a - 56973. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/b**(-28))\/b)\/(b\/(b**(-19)*b))*((b*b\/((b*(b*b\/b**(26\/5))\/b)\/b))\/b*b)**(-16\/3) assuming b is positive.\nAnswer: b**(-331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122*m + 18*m**2 - 1122*m - 3*m**3 - 2*m**3.\nAnswer: -5*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 9, 19, 33?\n\"Answer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 44390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2\/2 + 3*h - 3. Let n be k(3). Solve 5*m = -4*y + 16, -2*y + n*m + 8 = -4*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/2 in 3, -2\/17, 2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -3\/8 (c) 1\/2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -7*w**2\/2 - 4*w + 338. Calculate p(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 217 = -5*q, -q + 1202*g - 1204*g - 8 = -q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 - 23*g**2 - 4*g. Let k(d) = 3*d**3 - 11*d**2 - 2*d. Give 4*b(j) - 7*k(j).\nAnswer: -j**3 - 15*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2. Let b(a) = 1394*a**2 + 2. Give b(g(r)).\nAnswer: 1394*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 31 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-8)\/20*140\/(-336))\/(6\/4))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5469 or -5713?\nAnswer: -5469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/455 + (-6)\/39. Which is the nearest to v? (a) 1\/6 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -g + 5, 66*g - 690 = 5*t - 23*g - 20*g - 34*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.026, -4, -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yuyyyuyygggyuu?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + (sqrt(102) - 5*sqrt(102)*1) - sqrt(102) - sqrt(102))\/sqrt(6).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 = -7, 3*p - 30 = 3*a. Suppose -37 = -4*u + p*r, 2*u = 4*r - r + 21. What is the second derivative of 6*m**3 + 3 - 3 - 4*m - 5*m**u wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.78 + 0.68. Round a to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 2. Let a be m(2). Let c = 15 + a. Suppose -3*w = -c*z - 64, -3*w + 98 - 24 = 5*z. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 67 - 13 = 0. Suppose 0 = -3*i + 12, 0 = -0*x + 2*x - 2*i - v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -142, -141, -140, -139?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10)**(-7) assuming b is positive.\nAnswer: b**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2653*u + 18496. What is o(-7)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 6*f. Let c = f + 5. Solve 5*m - 4*h = 1, 2*m + 2*m - 7 = -c*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1 - -3 - 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71855.\nAnswer: 5, 7, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:45 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 279\/(-930) + (-34)\/20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -j + 16, -4*j - 131 + 33 = -5*a. Solve -4*t + a = -5*r, 26 - 16 = -2*r + 3*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - a?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 238*s**2 + 484*s**2 - 478*s**2 + (-s + s + 2*s)*(-s - 2 + 2) + 0*s**2 - 10*s**2 - s**2 in the form c*s**2 + t + i*s and give c.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(52) - 5*(sqrt(52) + sqrt(1300) - sqrt(52)))\/sqrt(2))\/(2*(sqrt(2) + sqrt(18)) + (2*sqrt(16))\/sqrt(8)) + 1 + -2.\nAnswer: -12*sqrt(13)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**2 + 96114036*z + 614034721.\nAnswer: -6*z + 96114036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -128, -86, -2, 136, 340, 622, 994, 1468?\n\"Answer: 2*j**3 + 9*j**2 + j - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y + 0*o + 149 + 19 = 4*o, 0 = 4*o - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 50319*a + 14 = -50312*a - 50311*a + 150945*a, t + 3*a - 1 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q - 10. Let y be f(-4). Suppose 3*c - 63 = 6*c. Let o = 1 - c. Calculate the highest common factor of o and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(195\/60)*8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4) + (-6 - 21\/(-6)). Sort -1, 3, k.\nAnswer: k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541591 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111 + 100?\nAnswer: -11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -25. Let i(p) = -p**2 + 14*p + 3. Calculate the remainder when i(r) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/2 - 93*n\/2 + 91 = 0.\nAnswer: 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 494*k - 36243. Give o(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + sqrt(300) + 1 - sqrt(300))**2 + -4).\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26011, 52046, 78081, 104116, 130151?\n\"Answer: 26035*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(7\/21). What is the nearest to 0.1 in 0.5, -2, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 3:10 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**3 - r**2 - r + 2. What is z(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205416.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -117*h**2 + 6*h + 34. Let p(r) = 3*r. Let k(t) = n(t) - 2*p(t). What is the derivative of k(i) wrt i?\nAnswer: -234*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bay when three letters picked without replacement from {a: 1, j: 3, b: 6, z: 3, t: 2, y: 5}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 449279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1363*o**6\/40 - o**4\/12 + 358*o**3\/3 + 1120*o**2 + o. Differentiate m(d) with respect to d.\nAnswer: 12267*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/38)\/((-4 - -7)*4\/(-32)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6. Let b(y) = 3*y + 2. Let w(j) = -2*b(j) - 3*z(j). What is w(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1890 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*(-7*10\/(-105))\/((-2)\/3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 1. Let c = f + 11. What is the tens digit of 4\/c*9 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 98*j**2 + 24. What is u(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 200*j + 100. Let z(a) = -a - 2. Determine f(r) + 50*z(r).\nAnswer: 150*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:42 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(-18)*p)\/p))**(-17) assuming p is positive.\nAnswer: p**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 = -3*v - 3, 2*v - 2*c - 2 = 0. Let d = -4 + v. Suppose d = k - 2. Solve f - b + k = -2, 3*f - b = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 2, e: 4, q: 5, x: 3}. What is prob of picking 1 x, 2 g, and 1 e?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1850*a**2*d + 2*a*d - 66*d + 9 wrt a.\nAnswer: -3700*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*p**2 + 211*p - 211*p - 17 + 9*p**2 + 17 + (p + 0*p + p)*(-4*p + 3*p + 2*p) + 0*p + 0*p + p**2.\nAnswer: -62*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -105*y - 80. Let q(x) = 26*x + 18. Give 9*q(c) + 2*s(c).\nAnswer: 24*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**3 + 1592*g + 58308.\nAnswer: -15*g**2 + 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 29203 divided by -29203\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 5453514033?\nAnswer: -5453514042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1543?\nAnswer: 1\/1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631525, 631543, 631595, 631699, 631873, 632135, 632503, 632995?\nAnswer: 633629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 27*w**2. Let c(i) = 24 - 4*i**2 + 12 - 55 + 19 + 10. Calculate u(c(a)).\nAnswer: 432*a**4 - 2160*a**2 + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 345569647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3))\/sqrt(6) - ((sqrt(100) + sqrt(4))\/sqrt(2))**2.\nAnswer: -72 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-158)\/(-4)*(-2)\/(-62) and -119\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006796 is divided by 1146.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1 - (-1 + -4). Calculate the greatest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(112) + -2.\nAnswer: -7 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11949 divided by 3983\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*f - 10 + 8 - 2 to a*f + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 + 5*q - 5. Let a(d) = -27*d**2 - 9*d + 9. Suppose -t = -20*t - 171. What is t*x(i) - 5*a(i)?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.58 - 39.08. Which is the second smallest value? (a) -0.8 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857 + 11415 = -316*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208906 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:00 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*k - 20, 7*k - 18 = 3*k - 5*p. Solve k*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 76. Suppose 160 + 904 = 3*h - 4*t, 3*t = -a*h + 1092. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144021112 (base 5) in base 13?\nAnswer: -20b186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059127 is divided by 5819.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**3 - 3*u**2 - 3*u - 1. Let x be b(-1). Suppose -36 = a - x*a. Solve 2*z = a*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m. Let q(o) = -o. Let z(g) = -5*q(g) - v(g). Let u(a) = -2*a**2 - a. Give u(b) + 5*z(b).\nAnswer: -2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42*1.17\nAnswer: -49.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 33*o + 51*o. Which is the second smallest value? (a) 0 (b) -1 (c) 33 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*z - 4 = 3, -4*t + 7 = -3*z. Let j(x) = -x + 1. What is j(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/15*-15*1. Suppose 0 = 2*f - 1 - 9, 5*r - p = 3*f. Solve 6 = 5*b - r*t, 4*b - 5*t = 2*b - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from hnirkee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(84) + sqrt(84))\/sqrt(7) - (sqrt(192) - -2*sqrt(192)))\/((sqrt(150) + sqrt(150)*-1*-5)*1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 5. Let n = 4.1 - 0.1. Let y = n + j. Which is the second biggest value? (a) -0.3 (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*2*sqrt(2420) - sqrt(2420)))\/(sqrt(28)\/sqrt(7)*-3 - sqrt(16)*-1).\nAnswer: 572*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73006*i + 3196 = 73060*i + 712 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 127. Find the common denominator of (-3 + -1 - -5)*142\/o and -83\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 18*h**2 + 14*h + 26. What is t(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*y = 16, -2*r - 5*y + 6*y + 6 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3007.3 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355143 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*u + 13*u**2 + 45*u - 249*u + 457*u.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 554 + -553.994891. Round c to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:06 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373738 is divided by 14374.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13953*o**3 - 27228*o**3 + 13278*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 3, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -105.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193858726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f + 34. Let y be q(14). Let i = y - 232. Solve -7*w = -3*w + i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03037475*-144\nAnswer: 4.373964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441 or -1769\/4?\nAnswer: -1769\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 20. Let k = -35 + 22. Let f = m + k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29779 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3656 (base 10) to base 8.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (2*-126 - -2). Let x = z + 493. What are the prime factors of x?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 8*p**2 - 9*p - 7. Calculate the remainder when g(-7) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84724 + -45224. Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f - 1164 = -38*f. Let q = f - -394. Solve k - 3*z = q*k - 28, 5*z - 15 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 7)*(-i**2 + 0*i**2 + 2*i**2) + 6*i - 4*i**2 - 4*i + 7*i**2.\nAnswer: 8*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -19. Suppose 5*f + 7 + 23 = -g, -3*g - 2*f = 25. Let x be (-10)\/(-4) + g + 4. Which is the second biggest value? (a) x (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, f: 2, s: 6, b: 2}. Give prob of sequence os.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.04922\nAnswer: 0.04922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5689 plus 286?\nAnswer: 5975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172372083 or 172372082?\nAnswer: 172372083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926 = -4*f + 950 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(931) - (sqrt(931) + sqrt(931) + 2 + 5))**2 - (sqrt(931)*-2 + 5)**2))*4*-3*1.\nAnswer: -2856*sqrt(19) + 33264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198449759 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-1240)\/32 - (-5)\/20.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1220 and -91\/36.\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2665 - -1577. Let r = -645 - d. Is r 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 {p: 5, g: 3, n: 1, x: 2, t: 1, i: 1}. What is prob of picking 1 n and 2 g?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1098856309 - -512\nAnswer: 1098856821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 4*u**3 - 6*u**3)*((-9*u - 4*u + 4*u)*(-5 + 4 - 1) - 2*u - 3*u + u).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795665?\nAnswer: 5, 13, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = z + 2. Suppose 0 = z*b - 5*j - 81, 2*b + 0*j + 3*j - 57 = 0. Let k = b + -19. What is the nearest to 0 in -0.3, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 2*z**2 + 3*z. Let i be n(3). Let r = -55 - i. Suppose 2*u = 0, u - 20 - r = -5*f. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 29*d - 31 + 18 - 15*d to the form m*d + z and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.097 - 6.903. Sort -0.6, -0.4, -4, u in descending order.\nAnswer: -0.4, -0.6, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 15) to base 12\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -680*t**2 + 15760*t. Let d(f) = -5*f. What is d(j(m))?\nAnswer: 3400*m**2 - 78800*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1410 + 1411. Suppose -4*i = 4*o - 4, 2 = -5*i + 17. Sort o, 0.4, u, -2\/9 in decreasing order.\nAnswer: u, 0.4, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125519320 divided by -8.\nAnswer: 15689915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(7 + -15) - (-2 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-5\/2)*a))**(4\/13) assuming a is positive.\nAnswer: a**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 368. Give l(-36).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124012024 + 22?\nAnswer: 1124012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5 plus 4596?\nAnswer: 4606.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-290)\/(-116))\/((-20)\/(-391576)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**8\/1512 + 2*w**7\/945 + w**6\/135 - w**5\/135 - w**4\/36 - 23*w**2. What is x in u(x) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*g + 62927, 0 = 398*c - 396*c + 4*g - 25190. Round c to the nearest 100.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by 95.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 2. Let o = -0.2 + 0.1. Let l = 23396 + -23396. Put 1\/4, o, l, r in ascending order.\nAnswer: r, o, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101001011001110001 (base 2) to base 15\nAnswer: -87dbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:12 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**3 + 22*g**2 + 4*g + 3. Suppose v + 11 = 2*n, 2*n - 5*n = 4*v. Let m be w(v). Is m less than or equal to 0.051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001098 to 6 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 - 60*w - 256. Let g(f) = f**2 + 8*f + 8. Let c be g(-6). Let p(n) = 7*n**2 + 61*n + 256. Let y(s) = c*p(s) - 3*o(s). Factor y(d).\nAnswer: -4*(d + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6966.36 and 69?\nAnswer: -480678.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 15 = -18*k. Suppose -2*s + 12 + 1 = k*t, 4*s - 21 = -5*t. Suppose 4*v - 50 = -5*l, l - 6*l = -s*v + 70. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140158780*c + 140159373*c - 280318148*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 6*y**2 + 70*y - 53. Calculate h(12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 28\nAnswer: -43\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**3 - 11*m**2 + 11*m. Suppose -5*j + 7 = -3. Let k(i) = 3*i**3 - 2*i**2 + 2*i. Give j*s(a) - 11*k(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-50))\/(387\/(-3870))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -5. Let z be (-28)\/(-6) + p\/(-12). Suppose 2 + 6 = z*y. Calculate the smallest common multiple of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - -86 - ((28 - -100) + -113).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 3, b: 1, f: 2, a: 1}. What is prob of picking 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -29.\nAnswer: 52\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1742.90318 from -0.4939.\nAnswer: -1743.39708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4\/6)*-3. Let l be ((-3)\/(-2))\/((-3)\/n). Suppose 0 = h + 4*k - 8, 0 = k - 3*k + l. Solve y + 15 = h*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 108 = 3*x - 36, 0 = 4*x - 5*d - 192. List the prime factors of -2*(-6)\/(x\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 2, z: 2, e: 1, f: 1}. What is prob of sequence izf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x - 28. Let d(c) = -3*c - 21. Let q be d(x). Solve q = o + 4*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 28 = -28 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 354552371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (40\/(-14) + 2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 u when four letters picked without replacement from jrpupurpjpoprr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, 1 r, and 1 y when four letters picked without replacement from {y: 2, d: 1, b: 1, i: 2, q: 1, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 2218174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 - 196. Put 5, -2, -4, u in increasing order.\nAnswer: -4, -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*c**4\/2 - 11541*c**3 + 935553*c**2\/2 - 56700*c - 399546 = 0. What is c?\nAnswer: -6\/7, 1, 42, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55788487?\nAnswer: 55788487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.1 - -28.04. Let q = -0.06 - w. Let m = -377 - -377.1. Which is the second smallest value? (a) -3\/2 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014151 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 3 (b) 1 (c) -88530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -104*s + 25. Let f(t) = 307*t - 75. Give -4*f(u) - 13*p(u).\nAnswer: 124*u - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and 0.68.\nAnswer: 0.1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4))\/((-11)\/(-11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -17, -77, -203, -419, -749, -1217, -1847?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 887614961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16042165 (base 7) to base 14\nAnswer: 2c1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Solve 0 = y*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - (-9 - -25 - (-12 + (14 - -20)))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -41. Let i = -0.62 - -0.02. Let k = i + f. What is the closest to -2\/7 in k, 2, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -6) + (-8 - 19)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, 77, 661, 9.\nAnswer: 0, 3, 5, 9, 77, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + -62 - -79) + (1 - (-3 - -3 - 34)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379315714?\nAnswer: 2, 4243, 44699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 < -2132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0 - 8*k - 1\/6*k**3 + 5\/2*k**2. Give m(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4 - 9048*d**3 - 340724*d**2 + 1085448*d - 735680 = 0 for d.\nAnswer: -40, 1, 2, 2299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68740726 and 4435?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 - 4*d - 20. Calculate b(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-480)\/(-36) - (-1)\/(-3). Let g = d + -16. Let x(q) = -q**3 - 2*q**2 + q + 1. Determine x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 151, 224, 297, 370, 443?\n\"Answer: 73*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*c + 1574 - 3663 + 1640 = 11765 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-26)\/(-15)))\/(9\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 30. Let f(h) = 17*h + 5. Suppose 9*k = -4 - 68. Let j(p) = 27*p + 8. Let l(q) = k*f(q) + 5*j(q). Give m(l(y)).\nAnswer: 2*y + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.52503 to one dp.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90017, -90061, -90091, -90101, -90085, -90037, -89951?\n\"Answer: w**3 + w**2 - 54*w - 89965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*m**4*r + 64159*m**2*r - 869892*r wrt m?\nAnswer: -56*m**3*r + 128318*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a - 3. Let m(i) = -i + 1. What is -m(p) - n(p)?\nAnswer: 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 1302.44 (c) -2 (d) -2\/3 (e) 41 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 133920998 + 133920998.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*v = 4*c - 23, 0 = c - 3*v + 13. Let q be (8 + 2)\/(1*c). Solve q*j = j - 3*r + 1, 3*j - 2*r = 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 = 28. Suppose 2*i + 2*p = 31 - 13, -5*i - 4*p + 41 = 0. Suppose -5*x + 317 = 4*a, w*a - 4 = i*x + 225. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhxh when four letters picked without replacement from xxxxxhxhxxxxxxhx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)*(-6)\/(-18). Let i(d) = a*d - 3*d + 3*d + d. Let g(n) = n**2. What is i(g(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from cgwywjjwsjcgggg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14119068, 14119076, 14119090, 14119110, 14119136, 14119168, 14119206?\nAnswer: 14119250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21*c**2 - 17*c + 29. Is a(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 603 = 2*t. Calculate the remainder when t\/(-9) - 2\/(-3) is divided by 16*((-14)\/(-4) + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4. Let o = 6 - 12. Let a(t) = -t. Let q(h) = o*a(h) + v(h). Suppose -174*i = -165*i + 36. Determine q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 7\/3*u**3 - 1\/3*u**4 + 16\/3*u + 10\/3*u**2.\nAnswer: -u*(u - 2)*(u + 1)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(-65) + 37\/5. Let w = 8 + -2. Let t(a) = -3*a**3 + 6. Let z(v) = 3*v**3 - 7. Determine o*t(g) + w*z(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.4. Let q = -13514 + 13517. What is the closest to 4\/9 in -3\/4, 0.2, q, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 - 71*a - 11 + 17.\nAnswer: -71*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 556467 and 0.3.\nAnswer: 166940.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2. Let d(y) = -21*y + 119. Let h(j) = j - 6. Let u(p) = 6*d(p) + 119*h(p). What is u(l(n))?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 + d**3)*(2*d + 1 - 1) + 0*d**4 + 5*d**4 + 2*d**4.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = 5, -5*q = 4*b - 27. Let x be (-28)\/b - 1\/(-2). Let t be (-433)\/143 - 6\/(-33) - -3. Put x, -1\/3, t in descending order.\nAnswer: t, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c**2 - 1 - 2*c + c**3 + 3*c + 0 + 13. Is 8 a factor of g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(76)*2 - sqrt(76))*4*-3)**2*-5 + 5.\nAnswer: -110875 - 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 + w - 7. Let s = -23 + 23. Suppose -3*r = -b + 5*b - 6, s = 2*b + 4*r - 8. What is n(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197542757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*-2*sqrt(125) - (sqrt(125) + -3 + sqrt(125)*-1)) + ((sqrt(125) + (0 + sqrt(125))*-4)*5)**2).\nAnswer: -112512 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1616)\/(-56) - 8) + -20)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12476, 31\/5 in descending order.\nAnswer: 31\/5, 2, -12476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*v**3 + 93*d**3*v**2 - 3037*d**3 + 25*d**2*v**3 + 3*d**2*v**2 + d**2*v + 12*v wrt d.\nAnswer: 12*v**3 + 558*v**2 - 18222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220752602.\nAnswer: 2, 7, 19, 739, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 + 26*b**2 + 4*b**2 + 6*b**2.\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.93 + -0.07. Let b = -1\/587 + -2339\/5283. What is the third smallest value in a, b, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k + 18. What is p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 + 8*o + 8. What is the smallest common multiple of ((-16)\/6)\/(10\/(-60)) and t(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986907193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 32. Let k = 51 - w. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:41 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7554 divided by 223\nAnswer: 7554\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -14. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 2. Let q be (5 + 15)*(-2 + 5)\/12. Let b be z(q). Suppose -3*v - 35 = -5*j, -3*v + b = 3*j + 6. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1\/24*h**4 + 0 + 8*h**2 + 0*h**3 + 0*h. Let u(p) = 32*p. Determine u(d(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 589898 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.432 and 0.1.\nAnswer: 5.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42 - -0.08. Let u = -0.45 + -0.05. What is the second smallest value in u, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 10. Let f(d) = 2*d**2 - 39*d + 14. Let c be f(19). Put 1, x, c in ascending order.\nAnswer: c, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -15\/11, -196, -1\/6, -16, 12, -2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**3 - 5*a**2 + 63*a - 57. Calculate b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 + 380. Suppose -10*x + 5*x = -4*h - p, 0 = 4*x - 2*h - 112. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28045, 28845, 29645, 30445, 31245?\n\"Answer: 800*k + 27245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 3*r + 1355 = 1304, 12 = -4*r for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - 3) - (7 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b0b8b (base 14) to base 7.\nAnswer: -156316434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2301\/152 or -62?\nAnswer: -2301\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -5, 5, -7139, 3 in ascending order.\nAnswer: -7139, -5, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -425*a**4 - 1494*a**3 - 14211294*a**2?\nAnswer: -10200*a - 8964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -15. Suppose g = 3*j - 5 - 4. What is the first derivative of -98*x + 3*x**3 + j + 1 + 98*x wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 26*d**2 + 111*d**2 + 35*d + 26*d.\nAnswer: 85*d**2 + 65*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4 + 47*b**3 + 754*b**2 - 6908*b + 10440 = 0.\nAnswer: -18, 2, 5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3011\/12 + 764\/3. Let j = 0.7 + -0.5. Which is greater: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 1365. Let l(o) = -50. What is -6*l(z) - t(z)?\nAnswer: 2*z - 1065","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 7. Let c(k) = 3*k + 2. Let y(u) = -6*c(u) + 5*r(u). Determine y(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3036 = 4*z, 3*s = 3*z - 2730 + 453. Calculate the highest common factor of z and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 5150?\nAnswer: 9\/5150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 138 + 44. Suppose -2*g - 2*c = 2*g - 30, -2*c - x = -3*g. Suppose g*n - 834 - 1606 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5*h**4\/3 + h**3\/6 - h**2\/2 - 17*h. Let q be 0 - (2 + -2) - -1. What are the prime factors of l(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3165 (base 12) to base 16\nAnswer: -151d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/33)*m**(1\/3))**(-23)\/(m**(-4)\/(m*m*m*m*m\/m**(-3\/2)*m)*(m\/m**(-1))**(-1\/27)) assuming m is positive.\nAnswer: m**(3149\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -22849?\nAnswer: -22854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 25*n + 5\/3*n**3 - 25 + 3\/2*n**2. Find the first derivative of j(b) wrt b.\nAnswer: 10*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.27 + 16.28. Let s = h + 0.99. What is the fourth smallest value in -4, 0, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -776020, -775993, -775966?\n\"Answer: 27*j - 776047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2243*n - 54048 = 3932*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -872.6103 take away -1.3303?\nAnswer: -871.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:32 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -5, -2702, -2789 in descending order.\nAnswer: 2, 1, -5, -2702, -2789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 69*b**2 - b. What is the tens digit of d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0*d - 1\/4*d**4 - d**3 + 1\/20*d**5 + 1\/120*d**6 + 0 - 7*d**2. Let y be -4 + 8 + -1 + -7. Calculate k(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + 3 + -1*sqrt(13))**2 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.50067 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 - 4\/(-8). Suppose 2*b + 3*r = -k*r + 330, 0 = -5*b + r + 825. Suppose 3*w + b = 8*w. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 120\/720 + -49*(-5162)\/324. Let n = d - 781. Find the common denominator of n and 59\/30.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(96\/189)*(-11)\/((-363)\/44)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*(-5)\/(-9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 336.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*z + 49 = -5*z, -5*z = -2*k + 35. Solve -a - 4*a = -k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-14)*6\/((-72)\/14)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*h**2*k**2 + 17740*h**2*k - 2*h*k**5 wrt k?\nAnswer: -1240*h**2 - 40*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 186994465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 6}. What is prob of picking 2 p?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w - 5. Let i be y(-2). Let g(u) = -2*u + 7. Let x be g(0). Suppose -3*a = -i, -2*a + 3 = 2*f - x. Solve f*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 14. Let c be r(-8). Let v = c + 18. Calculate the common denominator of 65\/2 and 122\/50*(3 - 6\/v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1. Let u(q) = -13*q - 23. Let j(k) = 2*l(k) - u(k). Differentiate j(w) with respect to w.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239 - -278 - (2 - -80)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265210, 530415, 795620?\nAnswer: 1060825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127747.4962 rounded to the nearest one hundred?\nAnswer: 127700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 23*f**2 + 42*f - 57. What is u(25)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 950 = -444*q + 2046 + 1124. Sort 2, q, 90, -3 in ascending order.\nAnswer: -3, 2, q, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(76)*-1 + sqrt(76)) - sqrt(76)) + 2*sqrt(76)*-6)\/((sqrt(324) + -2*sqrt(324) - sqrt(324))*-4 - (sqrt(324) - (sqrt(324)*2 - sqrt(324)))*3).\nAnswer: -3 - 13*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2195687\/1388280 - 1\/15090. Let g = b + 1\/23. Let d = 5899 + -106259\/18. Calculate the common denominator of d and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 6, f: 1, i: 4, w: 5, n: 3}. What is prob of picking 1 i and 1 n?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*x + 21. Let b(d) = d**3 - 8*d**2 + 7*d - 2. Let t be b(8). Suppose x*a - t = a. Calculate the greatest common factor of a and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkukeeke. Give prob of sequence ueku.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 - 281. Let p be (-120)\/x*(-10)\/8. Solve 0*c - 1\/2*c**3 + 1\/2*c**p + 0 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-20)\/4)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s + 783 - 79. Let f = -44 - s. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -28*l + 79. Calculate q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:54 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(-29)*(h*h**(2\/25)\/h)\/h*((h*h**(-9)*h)\/h)\/h*(((h\/(h**(-2\/3)*h))\/h)\/h)\/h*h*h**(-4)\/h*h*(h\/(h*h**(1\/5)))**(-2\/33) assuming h is positive.\nAnswer: h**(-74221\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4797868 is divided by 119946.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -0.5, 3 in descending order.\nAnswer: 3, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -93 (c) 1\/9 (d) -0.1 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (13\/((-117)\/(-60)))\/((-5844)\/(-486) + -12) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -19*n**2 - 7*n + 3. Let y(i) = -6*i**2 - 2*i + 1. Let s(z) = 22*z**3 + 3*z**2 - 1. Let p be s(2). Let t = 189 - p. Calculate t*d(w) - 7*y(w).\nAnswer: 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, 679, 760, 915, 1168, 1543, 2064, 2755?\nAnswer: 3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6282075 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64489 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004121 to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u. Let j(t) be the third derivative of 0 - 1\/6*t**4 + 0*t**3 - t**2 + t. What is j(b(d))?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 46*b**2 - 92*b**2 - 17*b - 27 - 2*b**3 + 47*b**2. Is l(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110 - 0?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Suppose -15 = -4*n + 17. Let f(i) = -i - i + 0*i + n*i. What is h(f(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -198.4*-33\nAnswer: 6547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -467\/5 + 93. Let x = 14 - 69\/5. What is the third smallest value in i, 3\/2, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -496289 or -496287?\nAnswer: -496287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*a + 9, 6 = -3*f - 0*a - 3*a. Let r be ((1 - 1)*f)\/2. Suppose 2*n + 2*v - 304 = -v, 2*v + 4 = r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 16 - 5752*r**2 + 30808*r**2 - 5.\nAnswer: 25056*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 + -185. What is the remainder when g is divided by (-4)\/(-18) + 2982\/189?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-7))\/((-1)\/(-14)). Let k = w + 4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-12) - (-1)\/4. Put m, 1, -1 in descending order.\nAnswer: 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + 3. Let v = -1.265 + 1.265. What is the second smallest value in i, -2, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*u - 6, -4*u + 1825 = 3*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8\/7))**21 assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2130*m + 87. Let p be r(12). Let k = p + -3150. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*y - 4, 2*y + 3*l - 1 = -2*y. Suppose 3*r - 173 + 177 = 5*f, -3*f = r - 36. Calculate the remainder when r is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/9))**(-1\/17)*(h**8)**(-39) assuming h is positive.\nAnswer: h**(-47743\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q + 6. Let i be g(0). Let n be 4 + 1 + (i - (-21)\/(-3)). Solve 8 = -n*o - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 437, 438, 439, 440, 441, 442?\n\"Answer: r + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -188, -269, -354, -443, -536, -633?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 28\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from eeeeeeeeeeceeeeeee.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 - 6*w - 6. Let t be v(-4). Let b be 35\/110 + t\/(-4). Let u be (0 - 1)*(3 + 21\/(-9)). What is the biggest value in u, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 45*z - 304. Let r be g(-10). Let d = -27 + r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -18, -34, -56, -84?\n\"Answer: -3*i**2 - i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1588196077594 - 0.094\nAnswer: 1588196077593.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 10*t**4 + 4 - 3*t - 8*t**4 - 3 - 4*t**2 - 3 to the form q*t + r*t**3 + d*t**4 + g + s*t**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 49*y - 218. List the prime factors of r(19).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + k**4 + 2*k**3 + 2*k**4 - 8*k**4 + 2*k**4 + (0*k + 2*k + 0*k)*(-7*k**3 - 5*k + 5*k) + (7*k**2 - 7*k**2 + 4*k**4)*(-1 + 6 - 2).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9)\/(m\/(m\/m**0)) assuming m is positive.\nAnswer: m**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7479598 and 741894.\nAnswer: 1189256082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39\/4, 1\/3, -4\/5?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93135 and 380?\nAnswer: 7078260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.73 + -0.23. Which is the smallest value? (a) -4 (b) 3 (c) 2\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329965507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4440 and 67352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 102. Let o(p) = -p**2 - 7*p + 6. Let d be o(-7). Calculate the highest common factor of d and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021 + 1022 - 2043 + 3923*q.\nAnswer: 3923*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*k - k**2 + 423*k - k**2 + 91*k**3 to o*k**3 + r + x*k + c*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from aprhq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9)\/((-8)\/12)*(-12)\/((-1260)\/15)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 151 + 0)*(-5*o + 3*o + 4*o)*(o**3 - 3*o**3 + 4*o**3).\nAnswer: -660*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 971277 - -813294. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.825 + -0.005. Let n = 0.97 - d. Let l = n + -9.8. Is 4 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**3 - 111*m**2 - 13*m + 4. Let s(x) = 5*x**3 - 54*x**2 - 6*x + 2. What is -6*l(z) + 13*s(z)?\nAnswer: -z**3 - 36*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let g be ((3 - 4)*1)\/1. Let f = g - -8. Let c(k) = k - 3*k + 2*k + f*k**2. Calculate c(s(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 3, s: 5, z: 6}. What is prob of picking 1 s and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/5 + 128312*v\/5 - 2057996168\/5 = 0.\nAnswer: 32078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/25)*q*q*q)**(-11)*q**(7\/3)\/(q**(9\/5)\/q) assuming q is positive.\nAnswer: q**(-2294\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 80863603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832927 is divided by 907?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -538*k - 57 - 2656*k + 57 to g + c*k and give c.\nAnswer: -3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*q*y + 3083*k**2*y - 4*k*q*y + 2*q**3 + 33*q*y - y wrt q.\nAnswer: k**2*y - 4*k*y + 6*q**2 + 33*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*a = -7*a, -5*a = 2*x. Sort x, -28\/9, -0.3 in ascending order.\nAnswer: -28\/9, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/7 + 640*c**2 + 2045362*c\/7 = 0 for c.\nAnswer: -389, 0, 2629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 19.8 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75174 is divided by 1446?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 11*g + 4. Let b be h(-11). Suppose -3*c = 2*c, 0 = b*i - 5*c - 8. Solve i*q + 2*x + 23 = -3*q, 5*x - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 - p**2 + 2*p - 3. Does 35 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 2*h - 5. Suppose 0 = w - 24 + 20. Let c be m(w). Calculate the greatest common divisor of c and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 592*o - 2. Let n(b) = 249247*b - 843. Calculate -2*n(k) + 843*t(k).\nAnswer: 562*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2967384 divided by -68?\nAnswer: 43638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421507 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -0.2386.\nAnswer: -4.2386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28299211, -113196864, -254692951, -452787472, -707480427, -1018771816?\n\"Answer: -28299217*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43277455 or -43277453?\nAnswer: -43277453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 8. Let q be z(-6). Let r = q - 12. Calculate the remainder when 23 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - s + 2. Let h(x) = -36*x**2 - 10*x - 9. Let d(f) = -31*f**2 - 8*f - 8. Let b(m) = -6*d(m) + 5*h(m). What is 6*b(z) - 11*v(z)?\nAnswer: 3*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 7. Let k(m) = 10*m + 2. Let n be k(-1). What is the remainder when (-6)\/n + (-213)\/(-4) is divided by i(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*1369.7\nAnswer: 26024.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 10 = -20*p + 18*p, 4*p - 4*n - 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 13 = -131. Solve 4*k - t = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 5*g**4\/6 + g**3\/6 - 12*g**2. Let q be m(1). Let f be (-14)\/q*(-12 - 0). What is the highest common divisor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2181 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/((-12)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 502, 2, 5, 3, -2, -3 in increasing order.\nAnswer: -3, -2, 2, 3, 5, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 13326886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0 + -3)\/(5\/(-75)). Suppose n = y - 3*k, 5*y + 21*k = 25*k + 150. Calculate the highest common factor of y and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 11*w**2 + 265*w + 2751. Calculate p(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 162178.1 meters in kilometers?\nAnswer: 162.1781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 8*u**2 + 17*u - 7. Let x be h(5). Find the second derivative of -s**2 + 7*s**3 - 5*s - 4 + 8*s**x - 37*s**3 + 13*s**3 wrt s.\nAnswer: -54*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**(4\/21)\/(j**(1\/3))**(2\/47))**50 assuming j is positive.\nAnswer: j**(550\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111012110 - -1020?\nAnswer: 20111020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2154 - 0.1846. What is the closest to 12 in x, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65.6 and -3.\nAnswer: 196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.2427346 to three decimal places.\nAnswer: 30.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-51)*(-27)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a42289 (base 14) in base 10?\nAnswer: -5537905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 4*q + 0*q as y*q + b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c + 8 = 0. Suppose -c*v = 2*v. Let p(m) = -1 + 2 - 4 + m - 3. Determine p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 4*h - 3*h + (h + 4*h - 3*h)*(-2 + 4 + 0) + 5*h - h - 2*h + 0*h - 4*h + 2*h - 74*h + 54*h - 84*h + 8*h - 9*h - 22*h.\nAnswer: -122*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2\/5, -3, 6, 3\/2 in decreasing order.\nAnswer: 6, 3\/2, 3\/5, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.750065 grams to nanograms.\nAnswer: 750065000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 2}. Give prob of picking 1 w and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6. Let m(s) be the second derivative of -850001*s**3\/6 + s**2 + 2*s + 4. Let y be m(c). Round y to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2)*1)\/(2*sqrt(360) - sqrt(360)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Suppose -3*v - 5*x = 2*v + 25, x = -1. Which is the smallest value? (a) w (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -5*d**4\/24 - d**3\/3 - 17*d**2 + 8*d - 3. Let w(x) be the first derivative of k(x). Determine w(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 divided by -752?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109 times -0.1403?\nAnswer: 0.0152927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((-174 - 44) + 105)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.719 + 507.281. Let z = h - 504. What is the third biggest value in z, -2\/9, 6\/65?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 1. Let d(m) = 2. Give -3*b(g) + d(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 18. Solve 4*c + 2*j - 26 = 0, -4*c + j + 41 = g*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -61\/5, 2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13888442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -866*(-3)\/(-4)*(-524)\/393. Suppose 5*o = -5*h + 2340, -3*h + 1002 + i = 4*o. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 4)*(40*w + 12494 - 12494).\nAnswer: -360*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1981*b*z**3 + 6861*b*z**2 + 74385908*z**3 with respect to b.\nAnswer: 1981*z**3 + 6861*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 5:42 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 + 50 + 68)*(-2 - 1 + 6)*(-2*b - 2*b - 1 + 0).\nAnswer: 456*b + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-24 - -42) - 32?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h + 37. Suppose -6*i = -7*i - 25. What is the hundreds digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -158*i**2 - 1726*i - 3762666 wrt i?\nAnswer: -316*i - 1726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*m = -0 - 5, -3*m = 5*k + 29. Let z(s) = -s**2 - 16*s - 46. Let a be z(k). Solve 3*c = -0*q - 4*q - 20, a*c + 4*q = -20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 1. Let j(p) = -2*p**3 - 25*p**2 - 17*p + 1. Let f be j(-12). Let h = -62 + f. Determine s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 32 - 8. Let d(k) = -19*k**3 + 2*k**2 - 5*k + 11. Let v be d(j). Which is smaller: -142 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711901245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6643412189?\nAnswer: 31, 1511, 141829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llyw when four letters picked without replacement from wccllfyy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -168*i**3 + 334*i**3 - 167*i**3 + 1 + 2*i. Determine s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 40. Let v(g) = 295*g**2 + 5*g - 7. Is v(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 8*p - 8. Let n be i(-6). Suppose w - n = -0*w. Solve 3*s = 2*r + 4, 5*s - 1 = -w*r + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 4:12 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-210)\/(-385))\/(16\/44))\/(6\/244).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7*2\/42)\/((-5)\/(-219090)).\nAnswer: 2, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z + 5*y + 491, 479 = z + y. Let t = z - -89. Let q = 1111 - t. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/28 - -3)*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -160. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 49. What is the second smallest value in p, 3\/5, -69?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3588860.97 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 40338.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/7)\/k)**38\/(k\/k**(-2\/7))**15)**46)**(-14) assuming k is positive.\nAnswer: k**29900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -70*b. Let s be o(1). Let h = 2716 + -16343\/6. Calculate the common denominator of h and (-2)\/(-10)*s\/44.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4 = 4*i, -h = 5*i - 6 + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 2*i**2 + i + 2. What is the units digit of g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 23*g**2 + 30*g - 178. Give d(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 10*z**2 - 9*z. Let k be p(9). Suppose -3 = 4*n - 19, k = -4*j - 5*n + 1724. Is (-3)\/(-6)*(j - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.4009 litres in millilitres?\nAnswer: 547400.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -7. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342353, 342341, 342305, 342233, 342113, 341933, 341681, 341345?\nAnswer: 340913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*x**3 + 16\/7 - 16\/7*x**2 + 2\/7*x.\nAnswer: -2*(x - 1)*(x + 1)*(x + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/14*(-96)\/20. What is the greatest common divisor of 780 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13102)\/(-6) - ((-286)\/66 + 2).\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 116. Let n be (-615)\/4 - (-8)\/m. Round n to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -318*w**2 + 10*w - 2. Let g be x(1). Let s = -257 - g. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - 2*o + 1. Let p be k(1). Solve p*w - 8 = w + f, -12 = -2*w + 3*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*b + 8 = 0, -5*v = b + 2 - 13. Suppose -5*f + v*t = -66, -3*f + 2*t + 23 = -19. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 99*s - 467. Determine w(6).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4400832 + 1071968 = 0. Round v to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-14)\/(-4))*(170\/204 - 165\/90)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -3628, -8157, -14498, -22651, -32616?\nAnswer: -44393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 328*d**3 - 12*d**2 - 992*d - 656.\nAnswer: 4*(d - 2)*(d + 1)**2*(d + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/1569 and -61\/4707.\nAnswer: 4707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/22)\/(h**23*h))**(-2\/37) assuming h is positive.\nAnswer: h**(529\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921 + 754 - 1675 + 6*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**3 - 13*x**3 - 2*x**3.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**2 + 44*g - 1149. Determine z(15).\nAnswer: 1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12898 + -12105. What is the greatest common factor of 143 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-8) + (256\/18)\/4. Sort -181, 0, r in decreasing order.\nAnswer: 0, r, -181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y**(-1\/6)*y)\/((y\/(y*y**10*y*y))\/y**(-22)) assuming y is positive.\nAnswer: y**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 + 3 = 0. Let o be (-2)\/t - 12\/20. Is (7\/14)\/(o\/(-318)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + -1 + 0 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 5 + (14 - (-21 + 2 + 11))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from mmmmrmmmrmrmrmmrmm?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 4. Suppose b = -2*b. Let t(n) = 3 - 1 + n + 0 + b. Give -4*m(r) + 7*t(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 50, -3, 1416, -2 in descending order.\nAnswer: 1416, 50, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*k**4 + 97*k**4 - 94*k**4)*(3 - 3 + 8*k).\nAnswer: -520*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 84.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*n**2 + 10 + 0 - 10*n**2 - 23*n**3 - 4*n**2 + n**4 in the form o*n + t*n**2 + a*n**3 + q*n**4 + j and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 42*t + 714. What is z(-55)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 6:50 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Find the first derivative of 4*k - 5 + 2 + c + 0 wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-2)\/sqrt(11))\/(sqrt(66)\/sqrt(96)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 10688236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/7 + 2034*p**4\/7 - 99678*p**3\/7 + 189216*p**2\/7 + 99681*p\/7 - 191250\/7 = 0.\nAnswer: -1, 1, 2, 51, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7787 - -7787. Sort 3, t, 18, -12 in ascending order.\nAnswer: -12, t, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25321 not equal to 25178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baw when three letters picked without replacement from {w: 4, a: 7, b: 2}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 139*w**3 + 21*w**2 - 73*w - 108. What is the tens digit of x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3580 + 4584. List the prime factors of d.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84 - -87) + (-1 - -1). Let s(r) = 40*r**3 - 2*r**2 + r + 5. Let l(u) = u**2 - 2. Let d(y) = v*l(y) + s(y). What is d(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 28*t + 27. Suppose 5*s - 2*q = 54, 0 = -s + 7*q - 2*q + 20. Is r(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 - (-9 + (23 - (3 + 15)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -775163, -1550486, -2325809, -3101132?\n\"Answer: -775323*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -185552.\nAnswer: 74220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 5*n**2 + 3*n + 3. Let o be l(-6). Let w be (-8)\/o + (-4)\/(-6). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -490, 792, 3 in decreasing order.\nAnswer: 792, 3, -2, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 63, -10 in descending order.\nAnswer: 63, 3, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + v + 583 = 0, -5*t = -3*v - 2*v + 710. What is t rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3))\/((-12)\/36)*(39\/1)\/3\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 + 5*u - 5. Let x(j) = -8*j**2 - 4*j + 5. Calculate -5*q(k) - 6*x(k).\nAnswer: 3*k**2 - k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 2) + (15 - 13) + 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p = -63*p. Solve p = -f - 0*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244 - 243.999992. Round p to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*j**6 - 15442*j**3 + 3*j**2 + 2079*j + 98 wrt j.\nAnswer: -2400*j**3 - 92652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -3)\/((-3)\/27). Let o be 3\/f*(0 + 45). Calculate the greatest common factor of o and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2300 and -29\/4990.\nAnswer: 1147700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3743 and -1666?\nAnswer: 6235838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -185461\nAnswer: -9273050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/11502 and -127\/30.\nAnswer: 57510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 33 - 47. Suppose -t = -3*r + 2. What is the first derivative of -32*k**3 - 5*k**3 + 45 - r*k**3 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-16\/5))\/(f*(f*f**(-7\/2)\/f*f)\/f*f) assuming f is positive.\nAnswer: f**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14358, -16933, -19510, -22089?\nAnswer: -24670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 81*l**3 - 7 + 40*l**3 + 30*l**3 - 4*l**3 + 14. Let z(a) = 16*a**3 + a**2 - 8. Calculate 7*k(u) + 6*z(u).\nAnswer: -9*u**3 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24\/7, 7889, 4 in ascending order.\nAnswer: -2, 24\/7, 4, 7889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 632 - 722 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4410 (b) -2\/3 (c) 0 (d) -2.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*t + 0 - 53*t + 0 in the form k*t + z and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 12. Let d(v) = -v + 1. Let x(i) = -d(i) - t(i). Let p = 578 - 593. Let s be x(p). Solve s*n - 3 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -h + 15, -2*h - 6 + 0 = 4*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1527 - -1565. Let x(q) = -q**3 + 14*q**2 + 16*q + 4. Let v be x(15). What is the highest common factor of d and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3 - 236*d - 4 + 2. Let q be -4*(-2 - (0 - 4)). Is n(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492427?\nAnswer: 13, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -65*s + 1106. Give q(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-135)*(-27)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 10, 3*s + 2 = -4*t. Suppose -16 - 29 = -4*h + 5*z, 0 = -2*h - s*z. What is the remainder when 24 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 488*u\/9 + 24128\/3.\nAnswer: -2*(u - 348)*(u + 104)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 55. Let a = -83.6 + 67. Let h = t - a. What is h rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + r)*(-22 + 40 + 140)*(-2 + 0 + 0).\nAnswer: 632*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*1226.782.\nAnswer: 49.07128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4635142, -9270286, -13905430, -18540574?\n\"Answer: -4635144*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/(0 - 264\/110).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) 5 (c) -6 (d) -4 (e) 1\/4 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -145 + 0*v + 0*v**2 + 3*v + v**3 - 11*v**2 + 130. Suppose 3*a - 25 = 11. Calculate the remainder when l(a) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {w: 6, f: 4, m: 4}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-129)\/27 - -5 - 61\/(-9). Let o be (42\/8)\/(1\/4). What is the greatest common divisor of o and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -70, 7.\nAnswer: -70, 0.09, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 1 + -1 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 55*z**3 - 2*z**2 + 5*z + 9. Let l be i(-2). Let t = 303 - l. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 88875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/8? (a) 179.8 (b) -1 (c) 3\/2 (d) -2\/3 (e) 1\/4 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w + 27. What is the tens digit of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.4 - -29.4. Suppose -67*h + 20 = -63*h. Which is the nearest to 2? (a) h (b) -3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/16260 and -18\/11.\nAnswer: 178860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)\/(-1) + -5 + 13. Sort -0.4, h, 0 in descending order.\nAnswer: h, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 20. Let w(s) = -s**3 - 9*s**2 - 6*s + 18. Let b be w(-8). Solve -r*i - 3 = -b*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*v - 10, v + 160*x + 22 = 157*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 6*z**2 + 7*z. Let r(i) = i + 3 - 2*i**3 - 2 + 3*i**3. Let v(q) = -h(q) + 2*r(q). Determine v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 7. Let w = 4 - m. Let r(h) = -2*h - 3 + 2 + 3. Determine r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -14, -28, -54, -98, -166, -264, -398?\n\"Answer: -p**3 + 3*p**2 - 10*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7899 = -225*q + 479 + 25822. What is the greatest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 126308?\nAnswer: 126308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 6*k + 3672. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96241802.\nAnswer: 2, 19, 557, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*t + 24 = 0, -19 = -0*f - 3*f - t. Suppose -9*w = -10*w + 1. What is the greatest common divisor of w and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (50\/20)\/(5\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 14503636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 - 53*c**2 + 2532*c + 1.\nAnswer: -20*c**3 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 3*t**2)*(-1 + 3 + 4)*(-6*t - 15*t**2 + 7*t + t).\nAnswer: 270*t**4 - 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 2, m: 2, y: 2, s: 5, x: 2}. What is prob of picking 1 s, 1 x, and 1 p?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-50)*(-1810)\/(-15385)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*4*-4)\/((sqrt(99) + sqrt(99) + sqrt(99) + ((sqrt(99)*-3 - sqrt(99))*6 - sqrt(99)))\/sqrt(9)).\nAnswer: 32*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4 - 0) + 4)\/(-2). Suppose m = 4*o + 36, o = -2*m - i*o + 36. What is the tens digit of 28\/(-5)*m\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {s: 2, r: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104400.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 222222000 (base 3) to base 5\nAnswer: 1112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c - 586 = -226 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-360))\/((-1)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + 0.02. Let u = a - 0.02. Let z = u - -0.060053. Round z to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 23\/6 (b) -2 (c) -0.1 (d) 21 (e) 1\/2 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4\/3, -0.1, 0.03?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + -8 + -4 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342921 is divided by 256.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 + 14914056*y + 104398490 = 0?\nAnswer: -7, 7457035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 - 26*z**2 + 65*z - 19. Let c(j) = -6*j**3 - 24*j**2 + 66*j - 17. Let t(a) = 5*b(a) - 6*c(a). Is t(-15) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8030 and 440?\nAnswer: 32120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/105)\/((-420)\/36 - -11). Let i be ((-2)\/(-30))\/(2\/(-4)). What is the closest to 1 in i, 8, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -14 - 12 + 4*t + 48*t**2 + 31. Calculate the lowest common multiple of 5 and z(-1).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:39 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -3. Suppose s*t - 53 = 37. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -3 + 0*g**4 + 0*g**2 + 0*g**3 + 3\/5*g**5 + g. Differentiate v(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-13 - -1 - -6 - -7)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 6*a - 8. Let j(u) = 2*u**2 - 11*u - 1. Let m be j(-1). Suppose 14 - 2 = 4*x. Suppose m = -x*g + 5*g. Determine t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 131 = -182 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -922073 (b) -6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96730495, -96730496, -96730497, -96730498, -96730499?\n\"Answer: -b - 96730494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 41\/2 (c) 0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 + -25 + -23)\/(-1*(-2)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:35 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j**4 + 3*j**4 - 75*j**2 - 65*j**2 + 5*j**4 - 36*j**3 - 12*j**3.\nAnswer: -4*j**2*(j + 5)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-8 - (6 - 11)) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000100763155 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide (1\/(2\/326))\/(588\/45 - 13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, -17\/2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -223, 3, 1, 22 in ascending order.\nAnswer: -223, -1, 1, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**3\/6 - 5*m**2\/2 + 7*m. Suppose 2 = l + 2*v, 2*l - 4*v = -9*v + 2. Calculate r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 33*w**2\/4 + 122*w - 4347\/4.\nAnswer: -(w - 23)*(w - 7)*(2*w + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-29)*x*x))**(3\/11)*(x*x\/x**(-3\/17))\/((x**(-10\/3)\/x)\/x))**(4\/11) assuming x is positive.\nAnswer: x**(33988\/6171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 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: Let k = 2 + -10. Is 2*(-762)\/k - (-1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 29*t**2 + 26*t - 54. Let s be u(-28). Suppose -3*b = -5*c - 13, -5*b + 5*c = s*c - 43. Solve 2*x + 2*k + b - 3 = 0, -x = 4*k + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325220\/(-2167460) - 3\/(-37)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -2, -40, -6, 11783 in increasing order.\nAnswer: -40, -6, -2, 0.8, 11783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2448)*-6 - (sqrt(204) + -1*(sqrt(204)*-2 - sqrt(204) - sqrt(204) - sqrt(204)) + sqrt(204))\/sqrt(12)) + 5)**2.\nAnswer: 2090*sqrt(17) + 742602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41252 - 100113?\nAnswer: -141405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0547 times -79.725\nAnswer: 4.3609575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 548 = 56. Suppose 0 = -m - 2*s + 14, -5*m - 14*s + 10*s = -o. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6507545035 and -332?\nAnswer: 327.3492454965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -39940?\nAnswer: 3993b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:07 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/38)\/(57\/38)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z)*(-33 + 41 - 164).\nAnswer: -312*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-18))\/(3\/729). Let i = x - -251. What is the greatest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/10 - p**4\/6 - p**3\/3 - p**2\/2 - 39*p - 1. Give d(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -3\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287 times -412?\nAnswer: -530244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -257*f**4\/4 + f**3\/3 + 7*f**2\/2 + 20*f + 5. What is the second derivative of j(m) wrt m?\nAnswer: -1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2143*p + 16640. Is z(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*(-6)\/(-24) - 2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 4, -4, -33.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - i + 3*i = 0. Which is smaller: 6\/59 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 2 z when four letters picked without replacement from lkzkgzzgljjjkkzjkgl?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -145243 (base 6) to base 5\nAnswer: -423024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -58*v + 3. Suppose -4*s - 14408 = -3*i, -v*s - 2 = -2*s. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/8 - 9010983*m\/8 = 0.\nAnswer: 0, 9010983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 1:22 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*((-48)\/(-648)*18)\/((-4)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -356, -13 in descending order.\nAnswer: -13, -17, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -78 + (-1 - 12 - -25)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 160\/12*36\/5. Suppose p = 3*i + 21. Suppose -l - 1 = 0, -4*x + 12 = l - 15. What is the remainder when i is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -678\/5 + 136. Let r(c) be the first derivative of 0*c**4 + 0*c**2 + 0*c**3 + y*c**5 - 2 + 3*c. Differentiate r(a) wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 1a8eaf?\nAnswer: 1a8e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 375, -4, -25, 2, -1.\nAnswer: -25, -11, -4, -1, 2, 3, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -860 + 1553. Suppose -b - x = -695. Solve -b*q + 2 = 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6108 a factor of 626270255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 - -172. Do k and -35 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -42.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7068744 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5643307 is divided by 1128654?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45289963 divided by -5.\nAnswer: 45289963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 a factor of 270234409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-8)\/28*-1*(-14)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -20*p**3 + 5*p**2. Let y(o) = -20*o**3 + 4*o**2. Calculate -4*x(h) + 5*y(h).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d + h + 44 = 0, 4*h = 0. Calculate the remainder when 204 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3)\/(2\/12). Let a be ((-10)\/l)\/((-4)\/(-12)). Suppose -9 = -4*h + a*u + 34, 0 = 5*h - 3*u - 44. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 772\/3 + -256. Suppose -2*g**3 - 2\/3*g**4 + k*g**2 + 16\/3 + 8*g = 0. What is g?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2 - 3*z - z + (3 - 5 + 0)*(-2*z + 3*z - 2*z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18351625 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1821.55 + -1895. Let j = 73 + i. Let l = 188\/3 + -62. Which is bigger: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.464 + -0.036. Let f = x + 7. What is the nearest to 3\/4 in -0.4, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p**(3\/2)*(p\/(p*p**1))**(32\/7))**(-2\/157) assuming p is positive.\nAnswer: p**(-41\/1099)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -7b4?\nAnswer: 7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*i - 14 = 0, 0 = 3*i - 1 + 16. Suppose -h*w + 4 = -0. What is the nearest to 0.2 in w, 3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -757, -1048, -1287, -1468, -1585?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6852.5707 to the nearest 10.\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 2. Let g(h) = -h**2 + 5*h - 2. Let c(i) = 2*i**2 - 8*i + 3. Let r(s) = -3*c(s) - 5*g(s). Calculate l(m) - 2*r(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 197?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.775 from -307820219.\nAnswer: -307820217.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*a - 19 - 41 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130787.\nAnswer: 130787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5498 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120789 and 405.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -165560 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 447*d**5\/10 + 791*d**4\/8 - 668*d**2 + 2*d. Find the second derivative of l(r) wrt r.\nAnswer: 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22) + (-80)\/(-220).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26091 + -26069. Solve 245 = -71*u + k*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 3*u + 4. Let s be o(5). Let i = s - 0. Calculate the smallest common multiple of i and (5\/(-2))\/((-2)\/16).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/(-65)*(-20)\/6. Suppose 4*h - 12 = 2*u - 0*u, -2*h = u - 10. Solve u*p - o = -0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 36 = -4*m, -90948*m = 5*q - 90946*m + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-15))\/((-1112)\/8340).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/20 + k**4\/6 - 5*k**3\/6 - 3*k**2 + 49*k. Factor g(t).\nAnswer: (t - 2)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2012735, 0, 1, -1.\nAnswer: -1, 0, 1, 2012735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((((-144)\/(-120))\/3)\/(1\/10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -b - 62, -b + 20 = 4*b. Suppose u*h - 21*h = 0. Suppose 0*q - 6*q + 60 = h. Is 8 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32600 and 1720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 4. Let v(u) = -3*u + 5. Let o(s) = -4*l(s) - 3*v(s). What is o(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1161996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2040 - 2004) + -1 + -60?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n + 57*n + 12 = 0. Let j(c) = 14*c**2 - c + 6. Let s be j(n). Suppose 30*d = 28*d + s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c**3 - 2*c)*(-3 + 38 - 19) - 4*c**3 + 2*c**3 + 13*c**3 - 2*c**3 - c**2 + c**2 + (0 + 0 - 2*c**2)*(-4*c + 2*c + 3*c) + 0*c**3 - 3*c**3 + c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 37*r + 378. Let x = -49 + 71. Let d = r + x. Let w(t) = t**3 - 2*t**2 - 5*t - 2. What is w(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.267174 and -5.94.\nAnswer: -4.672826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 357875435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*g = -g - 900, -2*p + 4*g + 360 = 0. What is the highest common divisor of p and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 4558837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, 144, -3.\nAnswer: -5, -3, -1, 2, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -148782 * -0.312\nAnswer: 46419.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d - 5. List the prime factors of b(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**2\/2 + 2*j + 4. What is the units digit of f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m - 1. Let c(l) = -11*l**3 + l**2 + 6*l - 6. Let u(g) = c(g) - 6*v(g). Find the third derivative of u(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64\/7 + 68\/7*a**2 - 2\/7*a**3 - 130\/7*a = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3)*(-3 - -6). Let v = 1 + t. Find the third derivative of 9*z**4 + 2*z**v + 0*z**2 + 0*z**2 - 8*z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/8*(-180)\/(-3). Let w = i - -102. Solve t = -2*t - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 + 57*c**4 + 1083*c**3 + 6859*c**2 = 0. Calculate c.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let l = 0.012 - k. Let n = 0.01199977 - l. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-5)))\/x**(6\/17) assuming x is positive.\nAnswer: x**(-91\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 x when four letters picked without replacement from {x: 6, k: 2, e: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/12 - (-3)\/(-18) - 0. Suppose -l*a - 2*o + 4 = 0, -2*a + 0*a - 4*o = 0. Suppose 0 = -a*y + y + 8283. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2698 + 0.\nAnswer: 2698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -19. Let k(g) = g - 4. Let d be k(5). Suppose -o = d - p. Solve -l + o = 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1136889)\/(-19434)*16\/18?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from ppppww?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-510)\/12)\/1*(-8)\/(-10). Let t(x) = 8*x**2 - 22*x + 103. Is t(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1 = 4*n. Let o be 479*15*n\/3. Let u = -24037\/10 + o. What is the common denominator of u and 4\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205\/57 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61774408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05304755369 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.968 + 0.032. Put -4\/9, m, 1, -0.3 in descending order.\nAnswer: m, 1, -0.3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26 - -4) + -65 - -26) + -20 + 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389245 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*k + 5*k - 2*k to h + i*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 33*j + 10*j.\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d - 238. Let a(n) = -3*n + 49. Determine 22*a(k) + 4*t(k).\nAnswer: -2*k + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaaiia. Give prob of picking 2 a and 2 i.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 13) in base 16?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -475332364\nAnswer: -475332364.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -388 (b) 3\/5 (c) -3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i**3 - 26*i**3 + 0*i**3.\nAnswer: -53*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4775151636 - 0.2?\nAnswer: -4775151636.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -66. Let d(g) be the first derivative of 0*g + m*g**2 + 2 - 2*g**3 + 6\/5*g**5 + 0*g**4. Find the third derivative of d(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let d be -1 - 0 - (-49 + 49). Let a(c) = 4*c + 10. Let m(n) = d*a(n) - 3*o(n). What is m(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 - 621 + 309 - 2978*v.\nAnswer: -2978*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 + 9*s. Calculate the least common multiple of 22 - (-16)\/(-3)*36\/48 and n(7).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -12. Suppose -z + 2*b + 21 = 5*b, -2*b = z - r. Solve 5*l + 5*k = -z, 0*l - 3*l - k = 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o + 765040*o**2 - 1530057*o**2 + 765047*o**2.\nAnswer: 30*o**2 + 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-10))\/(350\/875). What is the closest to 4\/7 in f, -11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14440 divided by -3610?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3796975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7768, 15428, 22990, 30448, 37796, 45028?\nAnswer: 52138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) 9.8 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:45 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11*h + 6*h - 34 = 0, 3*x + 3*h - 30 = 0. Let l = x + 157. Let t = l + -57. 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: Calculate -3883 divided by 5.\nAnswer: -3883\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39502909547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 17 - 2. Suppose 40*y - 237 + 77 = 0. Sort -1, -4, w, y in descending order.\nAnswer: w, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(9\/3))\/(3\/(15\/5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:42 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83 and 3027674?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 7*s**2 + 4*s + 2. Suppose 5*y = a - 21, -2*y - 15 - 9 = -3*a. Let r be n(a). Let u be ((-1)\/2)\/(r\/4). Sort 5, -2, u in descending order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -1\/2, -0.1, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -135*m**2 - m + 0*m - m**3 + 128*m**2 - 5*m. Let n = -3 + -3. Let s be y(n). Solve -4*k + 17 = -x - 4*x, 3*x + 5*k - 12 = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(121) - sqrt(121) - sqrt(121)))\/sqrt(11).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031464 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times -0.85?\nAnswer: -48.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4090 - 1504. Let r = q + -1078. Suppose -r = -a - 3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1978 - -1992. Which is the nearest to 3? (a) -62 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6200000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43157 is divided by 3081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15168, 2\/7, -15?\nAnswer: -15168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3 (c) 3\/5 (d) 0.4 (e) -2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.13. Let l = -0.257 + y. What is l rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.947 times 14.9\nAnswer: 29.0103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10101010000111101010110 (base 2) to base 3\nAnswer: -101111012202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 + 6 = 0. Suppose 0 = -g*r - 4*n - 2 + 8, 5*r - 10 = -3*n. Let j = 4 + r. Solve 0 = -o - o + j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*f, i = 4*f + 3 - 18. Let z(r) = -3*r + 4*r + f - 19 - 2*r. Calculate z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 557552 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-425)\/750)\/((-1)\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/9))**(-5)*(l**(-2\/9))**(-16)*(l\/l**5)\/((l*l\/l**(-1\/3)*l)\/l)*l**(2\/11)\/((l*l**(-1\/4)\/l)\/l) assuming l is positive.\nAnswer: l**(-2953\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -9, -2276, -2, 0, 3 in increasing order.\nAnswer: -2276, -9, -2, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 + 138.5906?\nAnswer: 135.8906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 15, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -66, -96?\n\"Answer: -30*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 2 + 14)*(4 - 2*w + 1 - 4) + 2*w - w + 2*w as f*w + q and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35424)\/(-736) + -54 + 1*6.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*c + 36, 0 = 4*c - 7*o + 2*o - 44. Let f = -83 - -140. Calculate the remainder when f is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 47. Let l be (-3*2\/s)\/((-3)\/(-24)). Suppose 2*w + u + 5 = 0, -w = l*w - u + 2. Is 2\/275 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 14. Calculate p(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -391 + 413. Calculate the least common multiple of 26 and v.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 - 6*d**2 - 6*d - 1. Let q be j(-4). Suppose -q - 587 = -5*r. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279384374.\nAnswer: 2, 137, 263, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1817 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.3, 0.134, -1\/5 in increasing order.\nAnswer: -1\/5, -0.01, 0.134, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i - 1. Let z(q) = 0*q**2 - 5*q - 2 + q**3 - 4*q**3 + q**3 - q**2. What is 5*o(d) - 2*z(d)?\nAnswer: -d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 17*j - j + 5*j - 18, x + 6*j = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.1 - -20. Let d = w + 0.3. Let q = 32.94 + -33. Put q, d, -0.5 in descending order.\nAnswer: d, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*w + 1298*w = -32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/10 - p**4\/3 + p**3\/6 - 3*p**2\/2 + 20*p. Does 6 divide o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6286.\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11e + 6116?\nAnswer: 5ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 344 = 1809. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 + u. Let x be f(1). Suppose 3*d + 32 = 2*v + 6*d, 0 = -v - x*d + 22. 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 tens digit of 4258852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 4)\/((-2)\/(-10)). Suppose 356 + 184 = x*a. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -18*p**2. Suppose 0*a = a - l - 10, 5*a - l = 58. Let n(b) = -2*b. Let u(x) = -2787 + x + 2787. Let h(g) = a*u(g) + 5*n(g). Give s(h(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-1134)*12\/(-20)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -17. Let a = w - -41. Suppose -11*h = -a*h - 164. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyggggiy. Give prob of sequence iy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 3*k - 15, 0 = -3*k + 12. Let c be (-84)\/(-16) + -2 + -9 + p. Solve -1\/4*w**3 - c*w**2 + 5\/4*w - 3\/4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 15*t + 11. Suppose 0 = -q + 8*q + 21. Let v(o) = 15*o**2 + 31*o + 23. Let r(s) = q*v(s) + 7*m(s). Suppose r(c) = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k - 3. Suppose -5*c - 2*o = 53, -o + k*o = -4. Let w = c + 19. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -13. Suppose -n - 480 = -j*n. Suppose -2*v - 14 + 3 = h, 4*v = 4*h + n. Is h less than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-32 - -32 - -10 - 12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let l(f) = f**3 + 3*f + 9. Suppose -37*w + 33*w + 3*g = 13, -4*g = 5*w - 7. Calculate w*l(u) + 3*o(u).\nAnswer: -u**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*k**2*v**4 + 12420*k**2*v**2 + 208*k**2*v - k**2 - 91*k*v + v wrt v?\nAnswer: 108*k**2*v**2 + 24840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)\/(j**(-2\/5)*j)*j\/(j\/((j*(j**(-1\/4)\/j)\/j)\/j*j)*j)*(j\/((j*j\/j**(-1\/3))\/j))\/j assuming j is positive.\nAnswer: j**(-793\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4111 = -559*b - 1149*b - 115*b + 113491 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-245)\/(-20))\/(-7)*(-40)\/84.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153 + 522?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 22. Suppose 0 = 14*m + 45 - 465. List the prime factors of n(m).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 150*w - 35. Let x(d) = 122 + 17*d - 238 + 112. Let n(o) = -4*v(o) + 35*x(o). Let u(s) = -10*s. Calculate n(u(r)).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9470951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3. Let s(z) = -z - 1799. What is 5*c(g) + s(g)?\nAnswer: -g - 1784","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 168 = 5*q, 110 = -q + 4*q + 4*d. Let w(s) = q*s - 33*s + 1 - 3. Let i(a) = -a - 8. Let m be i(-11). Calculate w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/9, -4, -0.161, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -11. Let m be ((-3)\/y)\/((-3)\/2). Let i be (1 - 4)\/(13\/39). Is m at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/7 + 26066258*q**2\/7 + 52132513*q\/7 + 26066256\/7 = 0. What is q?\nAnswer: -26066256, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 985 + -969. Let b(u) = -2*u. Let n be b(-4). Calculate the greatest common factor of n and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/238 + 465\/2618. What is the biggest value in -0.5, j, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7844 (b) 3\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 596 - 596.4. Suppose -4 - 2 = 2*g. Let s = 2 - 1.5. Which is the nearest to 2? (a) g (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fio when three letters picked without replacement from {i: 2, e: 1, m: 1, f: 4, o: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2, -6*v + 3*l + 115 = -5*v. Let g(c) be the first derivative of -2*c**2 - 18*c + 10. What is the remainder when v is divided by g(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004710872 to six decimal places.\nAnswer: 0.004711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*113 + (11 - 4) + -4. Suppose 11*j - q - 2 = 0. Suppose 0*z - 2*z + 16 = 0. What is the remainder when j is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -0.06 in ascending order.\nAnswer: -4, -1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 1\/31 (c) 2\/5403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 7*j**3 - j**3 - 5*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1842 (base 9) to base 7.\nAnswer: -4061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -153 and -131900\/869 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-47529)\/(-6)*-2)\/((-189)\/126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 13. What is the tens digit of o\/6 + (-40)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 701886652.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-126)\/(-18)*(-552)\/(-14). Suppose 3*a - z = 4*y, 276 = 3*a + 4*y - 9*y. Calculate the remainder when a is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 40*w**2 + 5*w**2 + 5*w**2 - 14*w**2 + w**2 - 35*w**2.\nAnswer: 2*w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-242)\/(-77))\/((-1)\/(-7)). Suppose 4*w - 3 = 3*w. Solve -2*u + r = -3*h, u - h = -3*h - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 23207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 - 92*i + 604 - 298.\nAnswer: -92*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, 1 m, and 1 u when four letters picked without replacement from {r: 1, e: 1, u: 2, m: 5, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 33 = -96. Suppose 0*n = 2*c - 3*n - x, 141 = 4*c + 5*n. Suppose -4*u + c = -3*u. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521905154 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*c - 2 = 0, -3*m + 2*c + 2 + 0 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 - 2*j**3 + (9*j**2 + 20*j - 20*j)*(-3 + j + 0*j + 0*j))*(-9*j + 66 - 66).\nAnswer: -63*j**4 + 243*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109856 is divided by 27443.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let t(f) = 16*f**2 + 51*f - 10. Determine h(t(b)).\nAnswer: 16*b**2 + 51*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -37*p**2 - 5*p + 6. Let t be g(2). Let y = t + 285. Factor -y*n + 2*n**4 - 4*n**4 + 157*n + 12*n**3 - 8 - 26*n**2.\nAnswer: -2*(n - 2)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.7891071.\nAnswer: 0.39455355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 3 (c) 14 (d) 1\/3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18417 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 4*b - 4*b)*(0 + 2 + 1)*(11 + 0 - 4).\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/28 and -3\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 4:42 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76*((-315)\/(-132) + (-7056)\/4312)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2 + c - 2*c - c**2 + 2*c**2. Is r(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 624*t - 41. Determine s(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/3 - 79205*r + 37330204\/3 = 0. Calculate r.\nAnswer: -237772, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 45.2, -5, 0.426, 3, -0.5 in decreasing order.\nAnswer: 45.2, 3, 0.426, -0.4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36089 is divided by 5149?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 2*q**5 + q**3)*(-14 + 1 - 2) + 5*q**5 + 96*q**4 - 96*q**4.\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2. Let f(t) = -3*t + 24. Let g be f(8). Let l(a) be the first derivative of -2 - 3\/2*a**2 + g*a. What is n(l(k))?\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*k**2 - 72*k**2 - 610 - 1241 - 4*k**2 + 31*k**3 wrt k.\nAnswer: 93*k**2 - 174*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, q: 2, a: 3, v: 2, j: 1, e: 4}. Give prob of picking 2 v, 1 e, and 1 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -173281 at least as big as 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.2. Let u = 0.2 + y. Which is the biggest value? (a) 0.5 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*85.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*f - 400 = -476*f + 260. Find q such that -16\/5*q**3 - 1\/5*q**f + 0*q**2 + 0*q + 0 - 2*q**4 = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -936 in -28.6, 2, 1\/2, -2\/3?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 58, 154, 322, 586, 970?\n\"Answer: 4*n**3 + 20*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - g + 3)*(2*g - g + 0*g)*(-5*g - 2 - 17*g + 8*g) + 4*g**3 - g**3 - 2*g**3 to the form n + z*g**2 + p*g + t*g**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359.4 + -359.54544. Round b to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(187))\/(-4*sqrt(396)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:50 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 35*m**2. Let g(t) = 4*t + 3*t - 11*t + 2*t. Give a(g(z)).\nAnswer: 140*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-3 + 8 - 14)*(-8*b**3 + b**3 + 2*b**3).\nAnswer: 90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12584785*r**5 + 16*r**4 - 357534186*r**2?\nAnswer: -755087100*r**2 + 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1249 - -1211.278. Let j = -36.72206 - l. Let h = j - 1. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-14)*(-40164)\/(-8))\/((-1)\/7). Is h not equal to 10042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270250 and 73250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40*50\/(-10400))\/((5\/20)\/((-4)\/2))?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by 3?\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x. Let b(k) = -k**2 + k - 1. Suppose -5*m - 57*q + 62*q = 0, 4*q = 5*m + 3. Suppose -r + 3 = 0, 5*u + 4*r - 5 = 2. What is m*b(j) + u*g(j)?\nAnswer: 2*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25855.915 + 25915. Round k to 1 dp.\nAnswer: 59.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -11*m**7\/42 + m**4\/4 + 7*m. Find the third derivative of i(j) wrt j.\nAnswer: -660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 4, 0 in descending order.\nAnswer: 12, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - t - 28. Let d = t - -22. Let g = -4 + d. Calculate the remainder when 32 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180158 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: What is the distance between 6073 and -10?\nAnswer: 6083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16321, 16272, 16193, 16084, 15945, 15776, 15577?\nAnswer: 15348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6613?\nAnswer: 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 2*v**2 - 8*v - 16. What is the lowest common multiple of 14 and c(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-45) - (-293)\/105) + -2. Let t = h + -16\/35. Factor t*b**2 - 8\/3 - 4\/3*b + 1\/3*b**3.\nAnswer: (b - 2)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128581067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27280 and 880?\nAnswer: 27280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10944 and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18653 - -39145. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20863 + -20619. What is the smallest common multiple of p and 40?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -3)\/(-5) + 481. Let u = v - 242. What are the prime factors of u?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399871001?\nAnswer: 399871001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655754 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*y = -4*i - 30, 5*y + 26 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/49899 and -31\/17664246.\nAnswer: 17664246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 966\/(-273) + (-6)\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:51 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1592 - -1387.4. Let m = -206 - j. Which is the biggest value? (a) 0.4 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -73825265 and 0.08.\nAnswer: -73825264.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -26. Suppose -3*n = -219 + 108. Let j = v + n. Calculate the highest common divisor of 26 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*f = -575*f - 7272 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172272?\nAnswer: 2, 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/5)\/p**(-15) assuming p is positive.\nAnswer: p**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 201.38*-165\nAnswer: -33227.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -67?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 602834783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.894 - 0.106. Which is the second smallest value? (a) 0.02 (b) f (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -127 (b) 23\/4 (c) 63 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 42919.\nAnswer: 14\/42919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:30 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300.7 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27))\/((-16)\/720)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/j**(27\/4))\/j))\/j*j**(-24) assuming j is positive.\nAnswer: j**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86092, -172491, -258890, -345289?\n\"Answer: -86399*y + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/6130 and 41\/12260?\nAnswer: 12260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1074 and 3.37.\nAnswer: 3619.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6*j - 10*j - 14 = 0, 3*r = 5*j + 17. Let w = 0 + -0.2. Put 0.5, w, r in descending order.\nAnswer: 0.5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90843317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (37 - 1)\/(639\/(-426)). Let m(f) = f**3 - 7*f**2 + 7*f. Let v be m(6). Does 9 divide v\/p + 290\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65554385.4 seconds to weeks.\nAnswer: 108.3901875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201\/16364 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - l - 56. Let m(s) = 2*s**2 + s + 56. What is -3*a(q) - 4*m(q)?\nAnswer: -2*q**2 - q - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21020021110112 (base 3) to base 15.\nAnswer: 50dcbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 42. Sort 1, -13, 5, g in descending order.\nAnswer: 5, 1, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -4\/7 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(5\/3)*(g*(g*g**2)\/g)**(-10\/3) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n = 16, -3*b + 3*n + 609 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14600712 is divided by 7300353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 17 = 2*f. Factor -42*v**4 + 70*v**4 + v**2 + 14*v**2 + f*v**2 + 92*v**3.\nAnswer: 4*v**2*(v + 3)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 4, y: 1}. What is prob of sequence cx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 517 + -24. Let q = n + -468.3. Let v = -25 + q. What is the second biggest value in 2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*m - 2, -49740*m - 3*u = -49738*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 41 - 6. Suppose 0 = r*s - 4246 - 3321. What is the second derivative of 40*d + 12*d**2 + s - 1081 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116298090 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + t)*(5*t - 28*t - 2*t)*(14 + t**2 - 14) in the form s*t + h*t**4 + a + c*t**3 + u*t**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:18 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 14754*i**2 + 132794*i + 48. Give l(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - a - 453 = 2*a - 539, 0 = -2*y + 5*a + 6 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70124895 by 9.\nAnswer: -7791655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 less than 4004796498?\nAnswer: 4004796497.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 12*o = 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596728570 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4 - 7*g**3\/3 + g**2 + g + 19. Determine c so that l(c) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(1\/(-8)*(-13440)\/(-280))*-34\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 78845285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k - 1. Let j be b(3). Let v(d) = d**2 - d + 2. Calculate the least common multiple of 11 and v(j).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2165 - -2164.93. Which is smaller: m or 22\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -0.2 (c) -0.023 (d) 0.0515 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3760 + -3683. Solve 50 = -87*p + s*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 3 - 3)*(-3*r + 1149 - 1119 - 4*r).\nAnswer: -14*r**5 + 60*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let d(p) = -3*p + 10. Let v(o) = -d(o) - 5*t(o). Let n be v(-5). Sort -2, n, 0.2 in ascending order.\nAnswer: -2, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x - 204. Give r(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let m be n(0). Suppose -2*s - 4 + 0 = 0, m = -b - 5*s - 6. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (222400\/(-6) - 0)\/((-14)\/2625). What is u rounded to the nearest 100000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*2*(sqrt(891) - (sqrt(891) + (2*sqrt(891))**2 + 5)).\nAnswer: -85656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 52 + 34 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5625534\nAnswer: -1\/5625534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baa when three letters picked without replacement from {a: 3, b: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Suppose 0 = 4*l + x - 12, -l - h*x + 6 = -8. What is the third derivative of 10*i**l + 4*i**6 + 0*i**6 - 6*i**2 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/10 - 17*k**4\/24 - 17*k**3\/6 + 9*k**2. Let p(j) = j**2 - 3*j - 3. Give 6*o(c) - 34*p(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-11) - 22\/121. Solve 9 = -4*n - 2*b + c*b, n - b = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 9146 (b) 3 (c) 1754\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from rgjrrgrv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.3, -1\/9, 3, -0.4 in descending order.\nAnswer: 3, -1\/9, -0.4, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w - 180 = -40 + 28 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*1*sqrt(33))\/sqrt(3).\nAnswer: -5*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 8\/((-384)\/(-180)). Which is the second biggest value? (a) x (b) 1.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66653*t**4 - t**2 + 6*t + 1001 wrt t.\nAnswer: 1599672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + (-10)\/8. Let z = -0.8 + -2.2. Let g(r) = -r**3 + 7*r**2 - 7*r + 1. Let b be g(6). What is the second smallest value in z, i, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27154 at least -27159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2270 = -5*z + 3*c + 2*c, 0 = 4*z + 2*c - 1816. Let n = z - 54. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 13. Let f(u) = u - 7. Let a = -1550 - -1554. Give a*q(m) - 7*f(m).\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35690 is divided by 16854.\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from bbbbjbiibibbbbbb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 1 (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4\/7 + 36*x**3 + 1008*x**2 + 9408*x = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5 - 7. Suppose -36 = -4*y - 5*q, -7*y - 2*q + 16 = -5*y. Sort s, 1, y.\nAnswer: s, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -4.\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*a + 7 = 0, -4*p + 9*a = 8*a - 11. Suppose -4 = -3*k - 2*k - 3*l, 0 = p*k + 2*l. Let y(z) = -z**3 + 27 - 4*z**k - 11 - 15. Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*r**2 + 2\/9 - 4\/9*r = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*b + 7 - 3 = 0, m + 2*b - 14 = 0. What is the remainder when 41 is divided by (4 - -2)\/m + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.35 - 3.4. Let y = j + 0.05. Which is the smallest value? (a) -0.1 (b) y (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 819, 3271, 7357, 13077, 20431, 29419?\nAnswer: 40041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2 - 153*n - 150 = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23777 and 47709?\nAnswer: 36592803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*1*(-1468)\/367\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/((-14)\/168)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h - h. Suppose s = -2 + h. Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1677 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = -3*p + 6*a, -3*a - 12 = 3*p. Solve -2*d = -p*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 9*q + 5. Give u(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-140)\/24)\/5*(-618)\/(-13699).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -6 + 0 + (-16 - (-20 - (27 + 89)))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -495 - -954. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -72*y + 143. What is z(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 62. Let d be t(6). Suppose -4*j + 44 = d. Put j, -11, -1 in descending order.\nAnswer: -1, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1285, 1284, 1283, 1282?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 - 10 = 0. Suppose 0 = t*r - 17 + 5. Let q(i) = 6 - 6 - 3 - i - r. Determine q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 2*c + c)*(143*c**2 + 8*c**3 - 141*c**2 + 10*c**3) to v + j*c**2 + s*c + o*c**4 + k*c**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.01 (c) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 91*g - 17708 + 139*g - 5*g**2 + 17268 = 0?\nAnswer: 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 7. Let p be v(-1). What is the second derivative of -26*j**p - 2*j**5 - j**5 + 19*j wrt j?\nAnswer: -580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1638 + -1638.8. Suppose -3*q - 2*x - 9 = x, -4*x - 15 = 5*q. What is the nearest to l in -5, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*w + 6 = 148*w. List the prime factors of (w + 2)\/((-6)\/(-1086)) - 5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 - 2*b - 9. Let z be c(-4). Sort z, 0, -2.\nAnswer: -2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 2 + -4 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*u = 3*w - 70, 5*w + 4*u - 175 = 0. Suppose 1 + 11 = -3*y. Let c = y + 11. Calculate the highest common factor of c and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 + 17 - 15) + 16 + -14 + 14 + -4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -692 + 694. Suppose -o*q = q - 846. Is 47 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/(-6))\/5 + (490\/(-20) - -24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130146823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -10 + 0 + (17 + 5 - 17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hobb when four letters picked without replacement from ooobbbhokbobbobkboh.\nAnswer: 49\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/11, -1, 0.33, 1\/4 in decreasing order.\nAnswer: 1, 0.33, 1\/4, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294367490?\nAnswer: 2, 5, 89, 2577941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/3))**(-2\/67)*k**(2\/9)\/k**(-6\/7))**(-40) assuming k is positive.\nAnswer: k**(-175520\/4221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 52, 6, 0 in decreasing order.\nAnswer: 52, 6, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4*m**3 - 18*l**4*m**2 + 1601*l**3 + 10*l**2*m - 3*l*m**2 - 13*m**3 wrt l?\nAnswer: 24*l*m**3 - 432*l*m**2 + 9606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 1. Let i(q) = 753 - 252 - 249 - 250 + 3*q. Give -3*i(l) + 7*o(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:41 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 1 - 13 + 8 + 0*i**2.\nAnswer: 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 223603, 223520, 223381, 223186, 222935, 222628, 222265?\n\"Answer: -28*c**2 + c + 223630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/((sqrt(8) - sqrt(16)\/sqrt(2)) + sqrt(8)))\/(sqrt(540)\/sqrt(10))*-3 - (-5 + (sqrt(1792)*2)\/(1*sqrt(100))))**2.\nAnswer: -42*sqrt(7) + 3712\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*z**6 + 1082*z**5 - 2*z**3 + 971518*z**2?\nAnswer: 1200*z**3 + 64920*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -280358?\nAnswer: -23\/280358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*j + 156, -54*j + 55*j - 92 = 4*h. Solve -16*o = -35*o - j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -352 (c) -34.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5 + 129*y**4 + 1026*y**3 - 7776*y**2 + 10368*y = 0.\nAnswer: -24, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htd when three letters picked without replacement from xxthdthhxxd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + o**2 - 4*o**2 + 2*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 4*d**2 + d - 12 - 165 - 104.\nAnswer: 4*d**2 + d - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - (-6 + (-28)\/(-20)). Let f(d) = d + 7. Let i(h) = -1. Let s(c) = -2. Let u(m) = -3*i(m) + 2*s(m). Determine w*u(n) + f(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 49*d**2 - 110*d + 3030. Determine g(50).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10254591163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 1:37 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npnn when four letters picked without replacement from {p: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4116*w - 40 = 4112*w - 8224*w, z + 2*w - 16 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = w + 8, s + 1 = 5. Let m be (-13 + 10)*5\/((-45)\/w). Solve m = g + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 8}. Give prob of sequence hhll.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2 - 2 + 10*h - 4*h. Let g(a) = 34*a - a**2 - 34*a. What is g(r(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.0284 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and -11.9.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose d = -2*u + 4*u. Put 4, u, -1 in ascending order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8347, -16670, -24975, -33262, -41531, -49782?\nAnswer: -58015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36221, -36229, -36249, -36287, -36349, -36441, -36569, -36739?\n\"Answer: -r**3 - r - 36219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 + 526. Let s = 277 - w. Factor 0*n - 2\/3*n**s + 0.\nAnswer: -2*n**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from hyyyyyhyyyyy?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954 divided by -3?\nAnswer: -4954\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 1754 = -662. What is the remainder when z is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 231 + 213 = 0. Suppose 390 = o*l - 72*l. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20\/121 + -2\/121. What is the nearest to 1\/4 in -0.9, t, -1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 88*p - 251. Give b(-41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5017914*d**4 - 1518060.\nAnswer: 20071656*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(-7\/2)*(s\/(s**(-6)\/s))\/s**(-1\/4) assuming s is positive.\nAnswer: s**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 - 3*b**3 + 2*b**3)*(60 + 380 + 251) - b**3 - b**3 + 6*b**3 to the form v*b**3 + c*b + d + r*b**2 and give v.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229453 is divided by 352?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 - 63*i + 114 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-3))\/(207\/46).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50027 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*2\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 2*q + 10, 0 = 2*q - g + 13. Is 4\/(-3)*(-12 - q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 - 6*f - 7. Suppose -4*x - 22 - 2 = -4*q, 4*q = x + 6. Let n be o(x). Let g = n - 61. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183489, -733951, -1651389, -2935803, -4587193, -6605559, -8990901?\nAnswer: -11743219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10980, -13331, -15670, -17991, -20288, -22555, -24786?\n\"Answer: o**3 - 2358*o - 8623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -404*d*n**2 + 3837*d with respect to n.\nAnswer: -808*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 - s - 4. Let c be q(-4). Let n(k) = -k**3 + 19*k**2 + 42*k + 4. Let u be n(21). List the prime factors of c\/u + 1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1493295683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 43*u - 8. Let l be j(-16). Is 29 a factor of (l\/15)\/((-2)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -4 (b) -5 (c) 11.842 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.22 - 4.52. Let s = 1.7 - x. What is the biggest value in s, -0.2, 6\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by 37998.\nAnswer: -29\/6333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + 3 - 4*g**4 + 2*g - g**2 - 6*g**2 + 10*g**4 as k + o*g**2 + u*g + q*g**3 + d*g**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1816 + 256 = 96*f + 24*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*v + 180*v = -72624000. What is v rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 4*w)*(37 - 9 - 14)*(-5 + 1 + 2) to s + k*w and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/901 or 1?\nAnswer: 1\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**6\/3 - 4*a**3\/3 - 16. Find the third derivative of z(i) wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.053 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*i + 13, -5*c = -4*c + 2*i - 1. Let s = 9 - c. Calculate the greatest common factor of s and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/17)*d)\/d**(-10))**(15\/7) assuming d is positive.\nAnswer: d**(2820\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045005 a multiple of 678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9826716 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*l - 5*a, 2*l + a - 98 = -3*a. Let t = -11 + l. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 19514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -10. Let g = -121\/2 + r. Let a = -401 - -412. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 95\/(-25) + 4 - -3*428\/(-6480). Let n(s) be the third derivative of 0*s - 2\/135*s**5 + 1\/36*s**4 + x*s**6 + 0*s**3 + 14*s**2 + 0. Factor n(k).\nAnswer: 2*k*(k - 3)*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36266594*i**2 + 266842005 with respect to i.\nAnswer: 72533188*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69901454 or -69901452?\nAnswer: -69901454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91482 is divided by 1945?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 a factor of 4689290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4614*w**2 - 861*w + 8?\nAnswer: -9228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6338 - -9562. Is 69 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)*z**8\/z)**(-41) assuming z is positive.\nAnswer: z**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*t - 156*t - 159*t - 151*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 1. What is the closest to -2 in 2, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 0.7. Sort 12, z, 2 in ascending order.\nAnswer: z, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3)*(-14*m - 65*m - 30*m) - m**2 - m**2 + m**2 + (m**2 - 3*m**2 + 0*m**2)*(3 - 4 + 3) + m**2 + 0*m**2 - 2*m**2.\nAnswer: -224*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 42*u - 42. Let w be x(-1). Let s(y) = 25*y**2 + 4*y + 5 + 3*y + y**3 + 4 - 18*y**2. Let k be s(-6). Does w = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2225\/(-550) + 42\/77\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.42 + 0.08. Let z = m - 0.5. Let r = -710\/7 + 102. Which is the second smallest value? (a) z (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 9*i + 5. Let o be n(7). Let k be (-8)\/4*(-10)\/1. Let f = o - k. Sort f, -4, 3 in ascending order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -443 - -442.8. Sort h, -5\/8, -0.01, -0.16 in descending order.\nAnswer: -0.01, -0.16, h, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (sqrt(13)*-3*-6)**2.\nAnswer: 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 89*u - 579. Determine d(25).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 6*u - 60 = 0. Suppose m = w + 6*m - 1, -5*w - 5*m = -5. Let x be 7 - (2 - w - 1). Sort u, x, -0.5 in descending order.\nAnswer: x, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3398, -5, -14.\nAnswer: -14, -5, 3398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-546)\/(-135) + -4)*5. Is s at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-21))\/((-28)\/(-98)). Let f = 27 + -134\/5. Put f, -1\/2, d in descending order.\nAnswer: d, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0422*-0.7.\nAnswer: 0.02954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -217, -1099, -2561, -4597, -7201, -10367?\n\"Answer: h**3 - 296*h**2 - h + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*o - 59 = 0, 2*o = o - 3. Let u be (-13)\/(-5) + w\/25. Suppose r = u*h - 4, 4*r - 3 + 7 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -13. Let q(h) = -7*h + 2. Let w(i) = 8*i - 2. Let a = 253 - 248. Give a*w(d) + g*q(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h**2 + 4*h - 2. Let z(c) = -16*c**2 + 5*c - 3. Let o(m) = 3*b(m) - 2*z(m). Let n(u) = -4*u**2 + 9*u. Let i = 15 - 6. Determine i*o(r) - 2*n(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 36. Suppose -9 - o = -s. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*w - 10, 6*i - i - 17 = 3*w. Solve 0 = -2*p + 4, i*n - 3*p + 5 = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -7*m**2 + 60*m**2 - 84*m - 12*m**4 + 24*m**3 - 4*m**5 - 13*m**2 + 36 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9036714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2093\/4, -62, 13.3 in descending order.\nAnswer: 13.3, -62, -2093\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1743 - 301*v - 1743 + (-v - 5*v + 4*v)*(12 - 7 + 12).\nAnswer: -335*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -69892 > -69891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 20*r**2 - 163*r + 550\/3.\nAnswer: -(r - 1)*(r + 11)*(r + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.8 - 12. Let f = 0.7 - q. Let i be ((-6)\/8)\/((-6)\/(-4)). Which is the closest to -2\/5? (a) -0.4 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162917 or 162915?\nAnswer: 162917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 44.62. Let h = -0.555 - w. Let v = -1.065 - h. Round v to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 207.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2 - 6 - 1. Let i(q) = 21. Let k(y) = 13. Let w(o) = 3*i(o) - 5*k(o). Determine -3*t(l) + 8*w(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*p - 9*p**2 + 95*p + 69*p**2 in the form z*p + g*p**2 + r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25039, -25035, -25021, -24991, -24939, -24859, -24745, -24591?\n\"Answer: o**3 - o**2 - 25039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = -22*t + 52726. List the prime factors of t.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 249 + 2*r**4 - 19*r**3 - 3*r**2 - 4*r**4 - 247 - 2*r**4 + 3*r**4 as y*r + a*r**2 + q*r**3 + i*r**4 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/3 + 17*k**2\/2 - 25*k - 1402. What is d(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4984 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0\/(-5))\/(-2*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/12)\/(21\/(-2))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/(-2))\/(1\/(-18)). Let x = t + 208. Let q be (-41268)\/(-2896) + 1 + (-27)\/12. What is the highest common divisor of x and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 0, 5*b = -3*t - 27 + 205. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 plus 0.102?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*c - 79. Suppose -c + 13 = 5*z. Let n = -7 - z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*j + 43106, 5*w + j - 172396 = w. Let q = -24898 + w. Round q to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -13. Suppose -f = -3*r + 3*f + 28, -5*r - 4*f + 68 = 0. Calculate the least common multiple of i and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980015387?\nAnswer: 3, 7, 94286447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471 - 1414 + 30*s + 469 + 472.\nAnswer: 30*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 93 = -111 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 148. What is the hundreds digit of h\/((-1)\/6*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 649240?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 2*i - 4*i**2 + 0*i**2 + 4*i**2 to g + l*i**2 + z*i + u*i**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 - 17*d**3 + 19*d**3 - 17*d**3 + 35*d**3 + 11*d**3 - 16*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyooxoyoooooxox. Give prob of sequence ox.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/(-4) - (-1 + 0). Suppose 0 = p*a - 344. Let f = a + 23. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1681?\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/8)\/(74\/5920). Calculate the greatest common divisor of 715 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 1, n: 1, m: 2}. What is prob of picking 1 n and 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -40)*1\/(-5). Let a = v + -987\/130. Calculate the common denominator of a and -97\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.9 - 42. What is the nearest to s in 0, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.23, -7, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230033031 + -10?\nAnswer: -230033101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n + 1. Let r = 7 - 23. Let a = r + 14. What is the remainder when 18 is divided by l(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, -2\/5, -12\/7, 4\/5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 - 6*l - 6. Let x(p) = p**3 + p**2 + p + 1. Let h = -68 - -62. Let t(o) = h*x(o) - f(o). Find the third derivative of t(n) wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 2. Let j = -1.6 + 6.6. Which is the second smallest value? (a) -0.1 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 6, r: 1, v: 1, i: 1, n: 6}. What is prob of picking 1 x and 1 r?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 35 = -5*z. Let v = z - 38. Let k = v - -63. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:23 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkd when three letters picked without replacement from {d: 11, k: 4, l: 3}?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5\/8)*k)\/k**(-2\/15)*k**(-28)\/k*k**(2\/29)\/k*k*k assuming k is positive.\nAnswer: k**(-91951\/3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3594, -5833, -8086, -10359, -12658?\n\"Answer: -q**3 - q**2 - 2229*q - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488 = -5*o + 22. What is the remainder when o is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 7*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 9*z - 13. Let r = 9 - z. Is 9 a factor of r\/(-8)*62 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 3\/4, 28, -0.5, 3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 207 - 7*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/27)\/(2\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 540594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*(-1 + -2*sqrt(500)) - (-4 + 1 + sqrt(500))*3)**2 + -4).\nAnswer: -4640 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202 + -191. Let w = 0.0101 + -5.0101. Which is the nearest to q? (a) w (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6477\/66912*-16 + (-3)\/(-2)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 645268.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-314)\/(-2669) + ((-73470)\/(-34) - -1).\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -28. Let u = -8 - q. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f. Let l be (-225)\/(-27) + (-8)\/6. Let s(j) = 3*j - 15*j - 6*j + l*j + 12*j. Determine u(s(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:38 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:18 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168540 divided by 1.\nAnswer: -168540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -26, -29, -44, -77, -134, -221?\n\"Answer: -u**3 + 3*u**2 + u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5027, -11484, -17973, -24488, -31023, -37572, -44129, -50688?\n\"Answer: n**3 - 22*n**2 - 6398*n + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157300 at least as big as 157301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22124 - 6186. Suppose 5384 = 7*u - g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + -7 + (0 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10001011110010111 (base 2) to base 10\nAnswer: -71575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let a(d) = 7*d**2 + 2*d. Let s(j) be the first derivative of 1\/2*j**2 + 0*j + 1\/3*j**3 - 2. Let z(x) = a(x) - 2*s(x). What is o(z(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278546*c = -278449*c + 2619 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*w**2 - 801*w**2 + 3201*w**2 - 805*w**2 - 796*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -6) + 16 + -3 + -10 + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 22. Let r = g - 42. Let n be ((-3)\/(-66))\/((-2)\/r). Which is the second biggest value? (a) n (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194265 * 17.\nAnswer: -3302505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l = 44*l - 74*l - 112 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 13.5. Let t = -0.2 - -0.2. Let o = t - l. Which is the third biggest value? (a) -4 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = t - t + 96 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 135125 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3632 and 79365556?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, -5, -5.6, 7, -2\/9, -0.3, -0.4?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l + 1. Suppose 0 = -5*h - 10 + 40. Let o(t) = -6*t - 5*t**2 - 1 + 7 - 2*t**2. Let c(d) = h*q(d) - o(d). Let b(u) = 2*u. Determine c(b(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/86972?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/63 + 17*a**6\/180 - 7*a**5\/30 + 11*a**4\/36 - 2*a**3\/9 + 59*a**2. Suppose q(u) = 0. Calculate u.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20930000 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 378427 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + d - 130 = 0, 5*u + 5*d + 183 - 513 = 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) - 20\/9. Let n be (-3 + 3)\/(m\/2). Suppose n = -2*p - 5*h - 3180, 3*p + 0*h = -3*h - 4788. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(30) - sqrt(60)\/sqrt(2)) + sqrt(30)))\/(sqrt(6)\/sqrt(3)*-3))\/(((sqrt(216) - sqrt(216)*-2)\/sqrt(8))\/(sqrt(180)\/sqrt(5))).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*c**4 + 36*c**4 + 4 + 15*c**2 - 17*c**2 as r*c**3 + q*c**4 + h*c**2 + a + j*c and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 343790.19us?\nAnswer: 0.000003979053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3338615 to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -m, 3*u - 2*m - 3*m - 3 = 0. Let f be 0\/(0 - 1\/u). Suppose -2*y + 9 = y, f = 2*x + 5*y - 35. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 5*k + 3. Let j be b(3). Suppose -12*d + 7*d = -j. Suppose 26 = d*o - 64. What is the smallest common multiple of o and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -5*w**4\/12 + 1965*w**3 - 6950205*w**2\/2 - 4916*w. Factor j(c).\nAnswer: -5*(c - 1179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 79. Suppose 3*v + i = 140. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Suppose 0 = 3*p - 3*z - 8 + 47, 2*z - 16 = p. Let w be (-82)\/(-26) - p\/(-65). Let j(v) = -w*v + v + 4*v. Calculate j(y(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**7\/70 - c**6\/20 + c**4\/4 + c**3\/2 - 5*c**2. Factor y(b).\nAnswer: -3*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198 + 102. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*7\/28)\/(15\/120)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k + 104. What is the remainder when 201 is divided by t(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2761 - 4*n**2 + 2828 + 5*n**2. Let s be o(22). Calculate the greatest common divisor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26*j + 6. Let f be x(-9). Let y = 229 + f. Which is the third biggest value? (a) -4 (b) y (c) -0.01 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2)*-3 - sqrt(2)) - (0 + sqrt(128)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -21274, 0.5, -10.9.\nAnswer: -21274, -10.9, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1157689 - 6962267\/6. Let b = z - -2703. Calculate the common denominator of -11\/7 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*t + 16 = j, -5*j = -5*t + 20. Let v = 7 + -7.6. Let n = v + 0.6. Which is bigger: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*f - 40, -5*f - 15*d - 48 = -12*d for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -66*(-10)\/(-15) - 1. Let v be 93 + 30\/w + (-1)\/3. Suppose -d + 151 = -5*u, 4*d + 3*u - 489 = v. List the prime factors of d.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4 (c) -3\/518 (d) 0 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259 + 277. What is the highest common factor of 324 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02419 to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 38 = 2*u - 50, -2*m - u - 1 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68300 + 10277 = 300*i - 202223. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from {c: 1, z: 3, m: 2, s: 1, r: 3, t: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -4, -4\/9, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 15*q + 23. Determine a(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739*l - 50887 = -185571 - 32395 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 19. Suppose 5*m + f*x = 290, x = -5*m + 140 + 134. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 20 = -21*o + x + 2*x, 5*x - 53 = 4*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 202*y**4\/3 + 6848*y**3\/9 + 31064*y**2\/9 + 15488*y\/3 = 0.\nAnswer: -16, -22\/3, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsw when three letters picked without replacement from swwisi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -67, -101, -117, -109, -71?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, o: 2, z: 2}. Give prob of picking 2 d and 2 z.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1488?\nAnswer: -1488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 10*n + 10. Let c be p(-5). Suppose -c*a = a - 55. Solve 12 = 2*j - a*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 4, z: 5, t: 2, s: 7, v: 1}. Give prob of sequence ztht.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -479 and -1.4.\nAnswer: 670.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -1 + -2 + 6. Let o be 2 + p - (-1 + 2). What is the third derivative of o*m**2 - 1 + m**3 + 1 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-4) + 3 - (-13 + 21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -3*j**4\/4 + 7*j**3\/2 - 3*j**2 - 13*j. Factor q(b).\nAnswer: -3*(b - 2)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - -29. Let b = x + -19. What is the smallest common multiple of 12 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and -3739.\nAnswer: -7104.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 375075412.68304 from 0.1.\nAnswer: -375075412.58304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 11*x + 16. Let u be s(-12). Suppose 5*v - 9*v = u. Which is greater: v or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 2. Let i(x) = 5 - 3*x**2 - 9*x - 8 + 5*x**g. Let k be i(7). What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 477*w**3 - 7*w**2 + 121*w. Let h(t) = 119*t**3 - 2*t**2 + 33*t. Calculate -6*f(a) + 22*h(a).\nAnswer: -244*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3247\/1606 - 161\/73. What is the common denominator of 14\/(3 + (-21)\/(-9)) and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191442 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14814.71910534 less than -7?\nAnswer: -14821.71910534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 1010000?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -25. Suppose -c*y - 75 = -4*j, -3*j - 2*y + 7*y + 59 = 0. Suppose -4*g = 2 + j. Sort 2, 3, g.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112, 226, 340, 454, 568?\n\"Answer: 114*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7718*a**3 - 2*a - 1 - 4820*a**3 + 1045*a**3 as g + x*a + p*a**3 + h*a**2 and give p.\nAnswer: -11493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 - -142) + (-4 - -1 - -1 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*x = 82*x + 2. Sort x, -1\/20, 4, -0.5 in descending order.\nAnswer: 4, x, -1\/20, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 4. Let o(n) = -36 + 0*n + n**2 + 8*n + 7*n. Let b be o(-18). What is the third biggest value in b, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85348481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 36305*l. Let r(q) = 36*q**2 - 3. What is p(r(n))?\nAnswer: 1306980*n**2 - 108915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 621*d**2 + 2*d + 7. Let c be j(-3). Suppose z = -4*z + 5*a + c, -3*z + a = -3348. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**3 + 7*k**2 - 3. Suppose -42 + 137 = 19*j. Let r(c) = 9*c**3 + 5*c**2 - 2. Give j*a(q) - 7*r(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 266.1197285896\nAnswer: -265.7197285896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1107*w - 1356. Let b be q(9). Which is smaller: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 7:58 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 538*j + 38. What is the hundreds digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 95611156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50324 is divided by 8379.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38916 and 28014.\nAnswer: 7899948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 28. Let t(v) = -141 + 3*v - 214 + 382. Calculate -3*t(c) - 4*z(c).\nAnswer: -c + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716165372?\nAnswer: 2, 13, 13772411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 7) + 10 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/(18\/(-240)). Suppose -5*y + 4*o + 2 = 0, -6 = 2*o - 5*o. Let k = 0 + 7. Solve l = y*m - k*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqvvvqivvitzf. What is prob of sequence fvt?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 33*c**2 + 12*c - 93. What is the hundreds digit of i(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 32*d**2 + 12*d - 17. What is the units digit of o(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 1, l: 1, x: 1, e: 2, a: 1}. Give prob of picking 1 a, 1 o, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2987, 5096, 7161, 9188, 11183, 13152, 15101, 17036?\n\"Answer: n**3 - 28*n**2 + 2186*n + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**8\/1848 - m**7\/1155 - m**6\/220 + m**5\/66 - m**4\/66 + 7*m**2. Factor w(y).\nAnswer: 2*y*(y - 1)**3*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 2*a**2 - a**2 + (-3*a**2 + 5*a**2 + 6*a**2)*(5 - 16 - 4).\nAnswer: -119*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)*(-10)\/10. Let i be ((-3)\/l - -5) + 7 + 1. What is the greatest common divisor of 130 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, -1\/457, 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -41. Let u(s) = -s**2 + 8*s + 10. Let h be u(v). Suppose 9 = t - h. Solve 3*l - l = -5*r - t, -5*l = -2*r - 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.325 - 0.324999768. What is q rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*g = -9 - 6, 4*r + 4*g + 24 = 0. Let t be (-86)\/(-14) + r\/7. Suppose t*v - 344 = -8. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d**3 + 33*d**3 + 21*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -137? (a) 5.6 (b) -0.4 (c) 2 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724834431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 225\/26*(-15)\/100. Let w = y + 11\/8. Let c = -512\/3 - -170. Sort w, c, 2\/7 in descending order.\nAnswer: 2\/7, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -9. Suppose -4*v + 4*d = -20, 0 = -w*v + 2*d + 2*d + 13. Are 9 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - -6) + -68 + 58.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33724, 67713, 101708, 135715, 169740?\n\"Answer: y**3 - 3*y**2 + 33991*y - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -189 (b) -1\/71 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222 + 667. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, and 2 f when four letters picked without replacement from {f: 7, v: 1, r: 1, p: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3692741 is divided by 69673.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -99623727 and -99623727 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631518691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 8. Let a be v(-6). Let z = -113 + 124. What is the units digit of (-15 + z)\/((-1)\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252411749.\nAnswer: 252411749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96111889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064616473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9\/2)*j**(-1\/13) assuming j is positive.\nAnswer: j**(-119\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3654*j - 122722 = 78248 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500) - 3*sqrt(3500)*2)\/((sqrt(77) + (-2*sqrt(77) + sqrt(77))*-2 + sqrt(77))\/sqrt(11)).\nAnswer: -25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 - 389 + r**3 + 389 + 8*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) - (-2)\/6. Suppose 220 - 390 + 254 = 7*i. Solve i = 2*h + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {l: 3, q: 1, j: 4, c: 2, m: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11337921*z**3 + 55*z**2 + 3*z - 44758 wrt z?\nAnswer: -68027526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 12 + 231*q**4 + 224*q**4 - 451*q**4 + q in the form h*q**2 + r*q**3 + p*q**4 + z + t*q and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/11 + 23*n**3\/11 - 76*n**2\/11.\nAnswer: -n**2*(n - 19)*(n - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = x, -5*x + 4*w - 61 = -10*x. Suppose -10 + 1 = -2*g - 3*r, -3*r + x = 5*g. Suppose -6*n + 18 = -12*n. Sort g, 6, n in increasing order.\nAnswer: n, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12991127269634 + -8.\nAnswer: 12991127269626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olmu when four letters picked without replacement from {o: 4, m: 1, u: 1, l: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 13. Let d be (6\/4)\/(u\/4). Let n = 11 + d. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/24 + (-45)\/(-120). Let l be ((-3)\/(-4))\/((-3)\/60). Let w be (2\/(-30))\/((-6)\/l). Which is the nearest to 1? (a) w (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -983*q + 32428. Give n(33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 29*w - 28*w - 14124500, 0 = 4*r - 5*w + 11299600. What is r rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359 + -256. Calculate the remainder when 306 is divided by b.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 725 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 0, -1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**2 - 77*d - 16. Determine b(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnposgyg. Give prob of sequence og.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 719*s**2 + 28441*s - 246025.\nAnswer: -(s - 25)*(s - 13)*(s + 757)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/9733, 1, -12, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n - 66. Let f be a(4). Let j be f + 31 + (-1 - 0). Let d be 3 + -3 - 7*-1. Solve 10 = 2*w + k, j = 4*w - 4*k + d*k - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 4. Let h(g) = -g. Let l(i) = -4*i**2 - 5*i - 3. Let b(z) = -5*h(z) + l(z). Determine 4*b(t) + 3*w(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = 42. Let i = z - -38. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 253189.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = -5*l, 5*l - 23 = -3*x - 2. Suppose 2*u + x = -u. Let k(v) = v**2 - 7*v + 5. Let i be k(5). Put i, u, 4 in decreasing order.\nAnswer: 4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483546307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.401 + -18.411. Let h = -30 + 14. Let g = h - f. Is 2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 5d2?\nAnswer: 5d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9)*-3)\/((-5)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n**3 + 3*n**2 + n - 2. Let h = -30 + 28. List the prime factors of p(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -86\/138581?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -6)*(-1 + 0). Let p be (22 - 0)*(7 + 52\/(-8)). Suppose -3*d + 45 = -3*i, -h*i - 16 = -2*d + p. Solve -2*t + 6*t - d = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -42742, -18, 3, -4, -5 in ascending order.\nAnswer: -42742, -18, -5, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 10.6338 milligrams?\nAnswer: 10633.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738065954 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**3 - 2*q**2 + 1. Let h be d(1). Suppose -h*w + 3005 = -340. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -1 + 2 + -168 + 221?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v**(2\/29))\/((v\/(v\/(v**(3\/2)*v)))\/v*v*v*v**(-3\/5)) assuming v is positive.\nAnswer: v**(1209\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 19*p**2 - 25*p + 31. Let x(j) = -14*j**3 - 74*j**2 - 100*j + 124. Let b(h) = -9*o(h) + 2*x(h). Determine b(24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3473*g**2 - 3488*g**2 - 3487*g**2 - 3487*g**2 + 13915*g**2.\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + k + 7, 2*k + 13 = 4*s - 9. Suppose -s*l + 1227 = 5*j + 23, -2*j + 304 = l. Let z = l + -183. What are the prime factors of z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + -2 + sqrt(704))**2 - (-2 + (2*(sqrt(22)\/sqrt(72) - sqrt(11)))**2).\nAnswer: -80*sqrt(11) + 6304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from hfflgdflghvfdglh?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -44*h - 245. What is v(8)?\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -918.84638 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21944762.\nAnswer: 2, 7, 1567483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001961 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 21*q - 32*q. Sort q, -2, -88, 0 in ascending order.\nAnswer: -88, q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -922*i**2*q*w + 2*i**2*w**3 + 3*i*w**3 + 23*i*w**2 - 8*q wrt i?\nAnswer: -1844*q*w + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/(-180)*1\/(-2) and -7\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = f - 11, 5*f - f + n = -19. Let o = 23 + f. Let d = o - 12. Solve 15 - d = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 548 + -0.2.\nAnswer: 547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000258242268 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -47718 divided by 127\nAnswer: -47718\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 2. Suppose -5*b = -5, -4*x + 2*b - 5*b = -27. Let z be (2\/x)\/((-7)\/(-21)). Calculate f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3857, 7717, 11587, 15473, 19381, 23317, 27287, 31297?\nAnswer: 35353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*h + 34, 0 = 3*h - 2*x + 252 - 244 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 - 11*t - 109. Give j(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b - 5*t = -7, 0 = -3*t - 9. Let k = 4067\/3 - 1344. Let s = b + k. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 2, n: 1, x: 1}. What is prob of picking 1 x and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*i*t**2 + c*t + 2*c - 3*i*t**2 + 2*i*t - 4*i - t**2 wrt t.\nAnswer: -4*c*i - 6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -25*u**2 - 1179*u - 9919. Give v(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - -37*(-78)\/(-18). Let y = h + -140. Let k(i) = i**3 - 3*i**2 - 4*i + 6. Calculate the least common multiple of y and k(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -184*y**2 + 10*y + 22. Determine u(-2).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ca8a (base 14) to base 13.\nAnswer: -3bba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253713 is divided by 2745.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37467360 and 18733680?\nAnswer: 37467360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(5)*6)\/(sqrt(84)\/sqrt(108)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000475985 to 5 decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - n**3 - 3*n**2 + 2*n - n. Let a(t) = 4*t**3 - 12*t**2 - 3*t + 8. Let d(z) = -a(z) - 5*k(z). What is the units digit of d(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26300.9428 + -26301. What is t rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10460 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w + 20*w + 5*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*u + 13, 3*u = i + 1526 - 1514 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1681888.188 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooxxxxxooxopxo. Give prob of picking 1 p and 3 o.\nAnswer: 20\/1001","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\/132 + 238*o**3\/33 - 28322*o**2\/11 - 2510*o. Find v, given that k(v) = 0.\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 2048b?\nAnswer: 20488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z - 21. Let w = 99 - 89. Let f(d) = d**2 + w - 26 + 8*d + 11. Determine f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354 divided by -1177?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29697*v*x**2 + 19*v*x + 2801956*v - 2 wrt x?\nAnswer: 59394*v*x + 19*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 9*p + 224. Are p and 2\/527 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 54ac?\nAnswer: -54b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6021 - -6021. Let p(u) be the first derivative of 23 - 3*u**3 + 11\/2*u**2 + g*u. What is the second derivative of p(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188112 and 1710.\nAnswer: 53611920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:10 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7434339.\nAnswer: 3, 11, 19, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1140, -8344, -34080, -84192, -166804, -290040, -462024?\n\"Answer: -1354*w**3 - 2*w**2 + 2496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1abc43 (base 14) in base 13?\nAnswer: -275652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5487397\/4 less than or equal to -1371848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -126351?\nAnswer: 126354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163 + 203 + 306*z - 606*z + 305*z + (3 - 2 - 3)*(0*z + 5*z - 3*z) to y + v*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 3:27 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - t + t + 2 + t - 2 + (1 - 3 + 5)*(2*t + 1 - 1) to the form g*t + q and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.9. Let h = 0.005 + -3.905. Let m = s - h. Which is the third smallest value? (a) 1\/3 (b) m (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.90433ml to litres.\nAnswer: 0.05190433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2704 + -0.07902. What is p rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123, -225, -329, -435, -543, -653?\n\"Answer: -q**2 - 99*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 29.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202806419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16568 is divided by 3181?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/50 and (2*(-356)\/200)\/(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 19 + 7)*(7 + 10 + 15)*(-2*b - b + b).\nAnswer: -1920*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 12. Let k(h) = 8*h**2. What is k(y(a))?\nAnswer: 32*a**2 - 384*a + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -118. Let r = -345.04 - -345. What is the nearest to 0.3 in 2, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/153183?\nAnswer: 4\/153183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1898 = 5*o, 16 = o - 5*t - 374. Round o to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -370*r**2. Let m(d) = 6*d - 44252. Calculate m(q(l)).\nAnswer: -2220*l**2 - 44252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134925 and 12850.\nAnswer: 269850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 36. What is the remainder when 24 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7452 - 7473.65. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/19)\/((-136)\/2584). Suppose -4*x + 15 = x. Suppose 5*j - 44 = -3*q, x*q = c*j + 5 + 7. Put -2, 3, 1, q in ascending order.\nAnswer: -2, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 192*a**3 - 2*a**2 + a - 1. What are the prime factors of s(1)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:19 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 1200. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116799 by -36.\nAnswer: 38933\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4717, -4698, -4677, -4654, -4629, -4602?\n\"Answer: o**2 + 16*o - 4734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (216\/30)\/(-27*(-9)\/810)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvbvbbvvbbbbvvvvvb. Give prob of sequence vbb.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 7*o**6\/3 - 24*o**5\/5 - 2*o**4 + 28*o**3\/3 - 3*o**2 - 4*o + 20. Factor z(u).\nAnswer: 2*(u - 1)**3*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j - 2*j)*(-2 - 4 + 5) + 7*j - 2*j - j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62335, 62333, 62331, 62329, 62327?\n\"Answer: -2*j + 62337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-434)\/84 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 - 8) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949 - 949 + 712*p**2 - 1576*p**2.\nAnswer: -864*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a + 0*a**3 - 8\/13*a**2 + 0 - 2\/13*a**5 + 6\/13*a**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 24*y**2 + 18*y - 19. Let t(a) = a**3 + 44*a**2 + 42*a - 36. Let z be t(-43). Does 39 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {c: 4, y: 2, i: 8, h: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.119, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3766*u**5 - 31*u - 3.\nAnswer: -75320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3661*(-3)\/1575 + 1?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + 46. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*q - 11 + 1 = 0, b + 8 = 3*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-25)\/(-10) - (-34)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 189*i**3.\nAnswer: 3*i**3*(i - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -t + 38, 2*d + t + 2 - 20 = 0. Let p(l) = -l**3 + 7*l**2 + 32*l + 5. Determine p(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -2 + 2 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*a**2 + 543*a - 1 - 274*a - 277*a + 2 as p + h*a + m*a**2 and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -30 + 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 7. Suppose 6 = 2*y - 4. What is the remainder when l(y) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -18*x**3 - 17*x**2 + 11*x + 80. Does 10 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**3 - 1113*d**2 - 36*d - 7. Let b(h) = -4*h**3 + 742*h**2 + 25*h + 5. What is 7*b(u) + 5*s(u)?\nAnswer: 2*u**3 - 371*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 6:54 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 892762?\nAnswer: 1785524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-108) - (-292)\/18. Suppose 14*x - n*x = 390. Let o = 4874\/25 + x. Do o and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 99 - (0 + (-5 - -3)). Let w = y + 1478. Suppose 3*n + 530 + w = 3*x, -3*x + 2113 = -2*n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/28*(-6)\/(-9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 195.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72116, 144238, 216360?\nAnswer: 288482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -10, -4, 1\/6, 12 in descending order.\nAnswer: 12, 1\/6, -0.5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -7*h. Let q(d) = 2*d. Let b(y) = -7*y + 3. Let x(u) = -b(u) - 3*q(u). What is x(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 1839*k**2 - 18499*k - 69. Give c(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2834 (base 9) to base 14\nAnswer: -ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hww when three letters picked without replacement from owthr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.868541682 + 74.\nAnswer: 71.131458318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/27))**47)**(-1\/4))**(14\/3) assuming k is positive.\nAnswer: k**(-329\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x**5\/2 - 761*x**4\/2 - 9463*x**3\/2 + 253009*x**2\/2 + 93835*x - 37024 = 0. What is x?\nAnswer: -89, -32, -1, 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 28*n - 474 + 129 = -51*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/((-4)\/6). Let m be 1\/(-2*k\/6). Which is the closest to 0? (a) m (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166965.\nAnswer: 3, 5, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.861 * 224536.\nAnswer: 193325.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2822787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlu when three letters picked without replacement from {u: 3, y: 1, v: 1, l: 4, z: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.0945, -8, -11823 in descending order.\nAnswer: 0.4, -0.0945, -8, -11823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -8 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6344 is divided by 1580.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, 15 in descending order.\nAnswer: 15, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f + 25 = 0. Suppose 0*g + 5*g + f = 0. Let o(m) = -m**2 - 7*m. Is o(g) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167211 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 6, c: 6, l: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2703128\/347 + -7790. Which is bigger: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -15267 in decreasing order.\nAnswer: 2, -2, -15267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*9\/30)\/((-15)\/20). Which is the nearest to -4? (a) r (b) -4\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.8699 to 1 decimal place.\nAnswer: 201.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1162 and 112.\nAnswer: 9296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*n**2*q + 922*n*q**3 + 3722*q**3 - 5*q wrt n?\nAnswer: 22*n*q + 922*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/7))\/j)**36\/(j\/(j**0*j))**(-15)*(j**(-1))**(-38)*j**(-6)*j**5 assuming j is positive.\nAnswer: j**(331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/19550 and 29\/29440.\nAnswer: 2502400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**(-7\/3)*x\/(x*x\/(x*x**(-6))*x*x*x)*x**(-7\/4) assuming x is positive.\nAnswer: x**(-673\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g - 112. Let o(n) = 2*n - 17. Let f(s) = 3*l(s) - 20*o(s). Let c(j) = 9*j - 9. Let b be (-2)\/((-10)\/6 + 1). Determine b*c(a) + 7*f(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h**2 - 124*h + 25. Let j(d) = 7*d**2 + 58*d - 11. Let m(l) = -13*j(l) - 6*y(l). Let o(r) = -8*r + 1. Let p be o(1). Determine m(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**3*r + 5*f**3 - 2*f**2*r + 76*f*r + 14*f + 1 wrt f?\nAnswer: 48*f*r + 30*f - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 353617\/18 + -19653. Suppose -22*a + 19*a - 528 = 0. Let c = a + 551\/3. Calculate the common denominator of c and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-63 - (19 + 7))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 8*c - 2. Let o be (-1 - 22\/(-4))*(-66)\/9. Let v(h) = 6*h**2 - 42*h - 9. Let b(g) = o*x(g) + 6*v(g). Determine p so that b(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/8*(-73342052)\/(-399) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0572 - 0.14.\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Sort 5, -0.3, -4, 0.49, 0 in ascending order.\nAnswer: -4, -0.3, 0, 0.49, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**2 + 4. Let n(m) = -12*m**2 - 3*m + 27. Let b(a) = -11*a**2 - 2*a + 19. Let k(h) = -3*b(h) + 2*n(h). What is -6*d(p) - 8*k(p)?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = b - 7*b. What is the smallest common multiple of 3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 108 = 282. Let m = 243 - p. Does 39 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127038*g - 4 + 4 + 0.\nAnswer: -127038*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 7*v**2 + 9*v**2 + 1 + (-2 - v + 2)*(0*v + 0*v - v).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2516946 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 + 197 = -3*a + 5*n, -a + 5*n - 131 = 0. Let s = 143 + a. Solve 0 = -11*f + s*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*v + 5088*k - 1392*v - 1 wrt k?\nAnswer: 2*v + 5088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 6*n**3 - 3*n**3 + (-10297*n**2 + 4324*n**2 + 5260*n**2)*(-n - n + 3*n).\nAnswer: -710*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 408 and 0.07?\nAnswer: 407.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*i + 15 = 0, -i = -3*r - 0*i - 1. Let g = -2 + r. Let z be (-9 - (1 + 0))\/g. What is the greatest common divisor of 110 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z - 279. Let s be h(23). Solve s = 12*r + 195 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 552470*b - 76305775225 = 0. Calculate b.\nAnswer: 276235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -31?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35073584 and 0.11.\nAnswer: -3858094.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 15389\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53961*j - 8187 wrt j?\nAnswer: 53961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q + 4\/5*q**3 - 6\/5*q**2 + 1\/5*q**5 + 6\/5*q**4 + 0.\nAnswer: q*(q - 1)*(q + 1)**2*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227.112752 to two decimal places.\nAnswer: 227.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15526 is divided by 2207.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/18 + 4066*w**3\/9 - 4133089*w**2\/3 + 16805139874*w\/9 + 4052. Determine i so that t(i) = 0.\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5\/2 - 8993*q**4\/2 + 99201*q**3 + 324577*q**2 + 667135*q\/2 + 225375\/2 = 0.\nAnswer: -9015, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(1\/3))\/(668\/167). Determine m, given that -75\/4 - l*m**2 - 15\/2*m = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -91*d**3 + 7*d**2 + 34*d - 8. Does 19 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30144805 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -679 + 1409. What is t rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 99044 = r, 165084 = 54*i - 49*i - 3*r. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16, 251644, -3, -1, 2 in increasing order.\nAnswer: -16, -3, -1, 2, 3, 251644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**5\/3 + 101*n**4 - 1543*n**3\/3 + 2695*n**2\/3 - 75*n - 250\/3 = 0 for n.\nAnswer: -1\/4, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.363299 centuries in decades?\nAnswer: 13.63299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1058278*z**3 - 797248*z**2.\nAnswer: 6349668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 634.\nAnswer: 31700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, g: 1, m: 1, t: 1, k: 2, v: 3}. What is prob of picking 1 m, 1 t, and 2 l?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1323040041 - 41?\nAnswer: 1323040000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1081*y + 367*y - 2*y**2 - 360*y to the form x + r*y + h*y**2 and give r.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 104*c. Let u(p) = 3152*p**2. Calculate b(u(w)).\nAnswer: 327808*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 - 3*p**3\/2 + 3*p**2 - 2*p. Let j be d(-7). Let k be 28\/j - (1 - 0). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 0.3. Let s = 1852.7 + -1853. What is the nearest to b in 5, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amma when four letters picked without replacement from ajmjaajmjmmajaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppct when four letters picked without replacement from {p: 1, t: 1, o: 1, c: 2, a: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6125, 4, 6, -4, 84 in decreasing order.\nAnswer: 84, 6, 4, 3, -4, -6125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.30022. Round z to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) -1\/4 (c) -48 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*x + 4*x. Solve -j = -5*j + 3*a + x, 0 = -4*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -8. Let n = f + 3. What is the smallest value in n, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468454377 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17728, -70828, -159340, -283270, -442624, -637408, -867628, -1133290?\nAnswer: -1434400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 1, f: 1, j: 5, c: 2, p: 5}. What is prob of picking 1 j and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a factor of 372212295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/126 and (-145)\/14 + (-20 - -30) + -8.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812580 is divided by 135430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*l - 4*c, -5*l = -4*l + 2*c - 30. Suppose 7*w - l = 22. Solve 12 = 3*i + 2*z, -i - 4*z - 20 = -w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16*c**3 + 6*c**2 - 12*c + 2. Let f be w(2). Sort f, 0, -1 in descending order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v. Suppose v = -r - 1 + 59. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141781*i**2 - 69752?\nAnswer: 283562*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuuuyuyyffy. What is prob of sequence yuf?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9339.3 rounded to the nearest one hundred?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -173 (c) 5 (d) 126065\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.8 at least as big as -109001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 357. Let c = j - 220.4. Round c to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkn when four letters picked without replacement from {n: 2, k: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7199 + 7202. Let l = 0 - 2. Let m be 15 + l + 2 + 0. Solve n*a - m = 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 16 + 1 = 3*m, -16*a - m - 54 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6 - 0. Suppose -14 = -j*p + 10. Find r, given that 2*r**3 + 8 - 2*r**2 - p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81.8 - -82. Let k = 22 - 20. What is the fourth smallest value in k, y, 1, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426052 and 3582289?\nAnswer: 3625276468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895330993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 + 3*b - 2. Let c be d(1). Calculate the greatest common divisor of 21 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 66, 171, 314, 495, 714?\n\"Answer: 19*l**2 + 10*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 17*p + 54. Let m be u(-5). Find the common denominator of 2\/(-36)*m\/16*412 and 43\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 11*r**2 - 28*r + 1. Calculate c(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-3)\/(1 + -4)). Let m = v - -4. What is the second derivative of 3*f**4 + m*f**4 + 2*f - 5*f**4 wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54276147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 17\/20, -5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11.7, 8, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, p: 2, h: 6, v: 1}. What is prob of sequence hhh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-169)\/(-26))\/13)\/(106\/52 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + i - 1. Let w be o(1). Let c(b) = -4*b**2 - 9*b - 6. Let g(a) = -a**2 - a - 1. Let h(x) = -c(x) + 6*g(x). Give h(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37341 is divided by 326?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjdjjdj. Give prob of picking 2 j.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67125224.\nAnswer: 2, 23, 89, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*y = -y + 5, 4*y - 11 = -3*p. Let u(n) = -n**2 - 10*n - 6. What is the smallest common multiple of p and u(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 - 893\/5. Let i = 2.17942 + -0.17942. Sort -0.5, -3, i, l in decreasing order.\nAnswer: i, -0.5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-104))\/((-2)\/12) + 66\/4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 2. Suppose -19*m + 390 = -47. Suppose 0 = m*b - 53 - 16. Determine h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481*0.4\nAnswer: -192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**2 + b + 3. Let u be t(3). Let i be (u\/(-20))\/(3\/8). Is 1*25*i\/25 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 61949 in decreasing order.\nAnswer: 61949, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + 15820 = 54*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.097 and -108.\nAnswer: -108.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.5. Let i = -9.7 + 10. What is the third biggest value in o, i, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 68*g**2 - 136*g + 277. Let x be z(-70). Let n = -0.1 - -0.3. Which is the third biggest value? (a) -0.02 (b) -0.06 (c) x (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3245168*i**2 + 6499086*i wrt i.\nAnswer: -6490336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-30))\/(8 - 69\/9). Let o = 4.4 + -0.4. Let s = -3 + o. Sort r, -1\/3, s in decreasing order.\nAnswer: s, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 - -14?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72146015, -144292031, -216438047?\nAnswer: -288584063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n + 3*r + 997 - 1171, 2*n + 27 + 5 = 4*r for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26509836 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111211010 + 21?\nAnswer: -111210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 85, 173, 263, 355, 449, 545, 643?\n\"Answer: m**2 + 85*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*v - 58, 4*v + 76 + 44 = 4*h. Let l = h + -25. Solve 11 = 2*f + l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 10. Let i = -7\/3 - -8\/3. Let v = -5 + 4.6. What is the closest to 0 in v, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpb when three letters picked without replacement from {d: 1, u: 1, h: 2, p: 1, e: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*z + 4*z**3 - 19*z + 2 - 7*z**3 - z**2 as i + r*z**2 + y*z + p*z**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - 3*d)*(-3 + 3 + 2*d**2)*((-2 + 2 + 2)*(-2 + 3 + 0) - 5 + 3 + 0 + 0 + 1 - 2 + 2 - 1 + 2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2990985 and -10576.84.\nAnswer: -10577.1390985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from wcxwcwxccff?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203*c = -2244*c + 82 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 10. Let k = -649 + 667. What is the lowest common multiple of k and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30259.9l in millilitres?\nAnswer: 30259900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (-1536)\/(-240).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:16 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 3*l**2 - 2*l**3 + 2 - 36*l**4 - 6*l**2 + 118*l**4 - 59*l**4 to c*l**4 + f + m*l**2 + o*l**3 + h*l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/1678 + 27269\/2517. What is the common denominator of v and 13\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(1\/3)))\/i**(-5\/3))\/(i*(i**6*i)\/i)**(-21\/8) assuming i is positive.\nAnswer: i**(163\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1*3 + -29 + 64. Let t(z) = -4*z + 11*z**2 + 25*z**2 - j*z**2. Let f(u) = -6*u**2 + 6*u. Give 5*f(h) + 8*t(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 19*y**2 - 2*y + 38. What is a(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1 - z - 1 + 1. Let s(y) = y**2 - 6*y + 11. Let p be s(2). Suppose -3*q = p, 2*g - 5*q - 1 = 4*g. Give b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00577999569 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871091, 3484424, 7839995, 13937804, 21777851, 31360136?\nAnswer: 42684659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -1, -1\/17, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17*n + 4462. What is g(-263)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 5143*i**5\/20 - 7*i**4\/2 + i**3\/3 + 3*i**2\/2 + 1485*i. What is the third derivative of q(l) wrt l?\nAnswer: 30858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4 + 4 + 0 + p. Let k be v(-8). Factor -2\/3*u**2 + k*u + 0.\nAnswer: -2*u**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 5*q**2 - 11*q + 17. What is the units digit of u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l + 59. Let j be u(7). Find the common denominator of ((-90)\/j + 8)\/((-1)\/(-4)) and (-1)\/4 - 5\/44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 11*h - 6*h - h - 44631*h**2 + 167980*h**2.\nAnswer: 123349*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430 - 430. Solve a = -5*p - 3*u + 23, p + p + 3*u = 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17711 divided by 5627.\nAnswer: 17711\/5627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.27 - -0.27. Let x = p - -56. What is the nearest to 0 in 2\/9, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56062600 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.221647 to 2 dps.\nAnswer: -14.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 4:52 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -0.14, 1\/2, -13 in increasing order.\nAnswer: -13, -0.4, -0.14, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27*f**2 + 4. Let g(v) = 53*v**2 + 10. Let t(l) = 2*g(l) - 5*x(l). Let r(s) = 4*s**2 - s. Give t(r(m)).\nAnswer: -464*m**4 + 232*m**3 - 29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 3:08 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 21. Let m = 57 - 56. What is the least common multiple of g(10) and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3522 and 144.\nAnswer: 84528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:58 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/24 + (-3)\/6. Let x = -564 - -2257\/4. Which is the nearest to x? (a) n (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240 - -365. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 8*n - 5. Let g be (48\/(-40))\/(9\/(-30)). Suppose 2 = g*o - 26. Give j(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*(8\/2)\/(-4). Which is the second biggest value? (a) 1\/354 (b) -5 (c) -0.2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z\/((z\/z**(1\/4))\/z*z))))\/z)**(-1\/63)\/(z**(2\/3))**50 assuming z is positive.\nAnswer: z**(-8401\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 2651948 = -20*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f**3 - 1\/24*f**4 + 2*f**2 + 0*f + 0. Let i(u) = 8*u**2. What is i(a(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -60. Suppose n - j*n = -152. Which is greater: 33 or n?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 509*f - 9116. What is b(186)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*x + 0)*(34*x + 26*x - 7*x)*(-2 - 3 + 3)*(-x + 2*x - 2*x) in the form q*x + n*x**2 + w*x**3 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = 4*c, 2*s + 7*c - 2*c = 39. Suppose 3*h = -3*f + s, h = 3*f - 8 - 4. Solve 0 = 4*j + t - 23, -f*t - 6 = 4*j - 38 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1358 - 259 - 159 + (0 + 0 + 1)*(-2 + 2 - 1))*(0 - 1 + 0 + (1 - 6 + 4)*(4 + 0 - 3) + 3 - 1 - 4)*(2*i**2 + 1 - 1).\nAnswer: 14216*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -335 + (278 - -46) + -4 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*1*sqrt(637) - 3*sqrt(637)*2 - -2*(sqrt(1053) + 1)*-3))**2.\nAnswer: 35424*sqrt(13) + 3148128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13487*a*j - 11398*a + 2*j wrt j?\nAnswer: -13487*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277688 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 3*c**2 - 5*c - 5. Suppose u + 2*m - 2 = 0, m + 11 = 3*u - 2*u. Suppose 12 = 4*n - u. Let b = -9 + n. What is r(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005894 to 6 dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 24*s**2 - 475. Give v(23).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388231492 to the power of 1\/3, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1511*p - 42335. Determine g(28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 8*d - 1. Suppose 3*q = -11 + 5. Let u be q*2\/4 + 8. Let b = u + -14. Determine h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030330330212321 + -2?\nAnswer: -1030330330212323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Suppose -6 + 1 = -z*y. Suppose -4 - 6 = -5*n + b, 2*n = -4*b - 18. Calculate the highest common factor of n and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - y - 21*y**2 - 105 + 101 in the form d*y**2 + p + j*y and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13*q*q**(2\/13)*(q\/(q\/q**0*q))**(2\/27) assuming q is positive.\nAnswer: q**(4942\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 14 - 35*u + 3445*u - 1 to p + v*u and give v.\nAnswer: 3410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 19004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)*j*j\/(j**(2\/5)*j))\/((j*j**(-1\/6))\/j*j\/(j\/j**7)) assuming j is positive.\nAnswer: j**(-359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, o: 12}. What is prob of sequence eoee?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -33, -1, 4, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f + 5. Let x be a(2). Let b be (-723)\/(-1)*x\/(-3). Suppose 8*c - b = 215. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*p**2 + 106 - 122 - 127 + 143.\nAnswer: 250*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 8 = -4*y. Let l be 15\/(-6)*y\/(-10). Suppose -h - 5*g = -27, 0*g + l = -4*h + 2*g. Solve -3*u + 5*u + 17 = 5*d, -h = -d - u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*t - 0*n - 93, t = -4*n + 34. Calculate the greatest common factor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8044.\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116 - (59 + -93)) + 71.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15519284 and 10.\nAnswer: 77596420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 + 13*p + 1. Does 16 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - 9*z + 25. Let w(x) = 15*x**2 + 591*x - 33. Let r(b) = -7*b**2 - 254*b + 16. Let m(n) = -7*r(n) - 3*w(n). Give -11*m(f) - 6*s(f).\nAnswer: -2*f**2 - f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c. Let o = 26 - 24. Let w(v) = -5*v - v + o*v + 2*v. Determine q(w(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 - 131*g**4 - 4224*g**3 + 4356*g**2.\nAnswer: -g**2*(g - 1)*(g + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112*v**2 + 3284*v + 10860.\nAnswer: -4*(v + 3)*(28*v - 905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miqycmp. What is prob of sequence cy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -16*j**5\/5 + 2232*j**4\/5 - 64881*j**3\/5 - 186572*j**2 - 90825*j - 11250 = 0?\nAnswer: -10, -1\/4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-64))\/((-2)\/8). Let s(i) = -i**3 - 4 + 3*i**3 + 0*i - 3*i. What is the units digit of s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14229 + 14235. Solve -q*p = -1022 + 998 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - 42 - (1 + -1 + (17 - 6)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = 3*y, -1 + 9 = 5*i - 2*y. Suppose -5*x = 4*s - 97 - 5, -4*s + 96 = i*x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 33 = y, 5*s - 4*y - 3 = 15. Let m(p) = 15*p + s*p - 39*p - 29*p. Let u(t) = -2*t. Calculate m(u(i)).\nAnswer: 94*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*w + 40 = 0, -2*h + w = -0*h - 15. Suppose -5*p - 3931 = -n - 3*p, -p + 19600 = h*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100011 + -1001?\nAnswer: 10000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -46974 - -11742?\nAnswer: -35232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2, -16 in ascending order.\nAnswer: -16, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bnbbbbbbbbbbnbbbbbbb?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -53, 3, -0.5, 726\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 - 5*g - 213*g**3 + 3*g + 6*g**2 - 2 + 2*g**4 + 217*g**3 as z*g**2 + h*g**4 + v*g + k + x*g**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + p = 4*p + 20, 4*p - 5 = 5*m. Let a(c) = -2*c - 7. Let r be a(m). Solve r*z - 20 = 5*z - 5*x, x = 3*z + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s + s + 3*s. Let d(a) be the second derivative of -2*a**3\/3 + 74*a. Determine m(d(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + a - 34. What is the biggest value in 0, 0.2, 19, a?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:28 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, v: 2, p: 11, x: 1, q: 4}. Give prob of sequence jvx.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -94*u**2 - 2*u. Let d(j) = -j. Let v be d(-5). Suppose 0 = v*t - 20, -2*b = -3*b + 2*t - 16. Let n be o(b). Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402470521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.4 + 22.9. Which is the second smallest value? (a) -6 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 0.4, -2\/711, 2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*(y**(-5)\/y)\/y*y)\/(y\/(((y**(-2)\/y)\/y)\/y)))\/((y*(y*y\/y**6)\/y*y)\/y**1) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304.4 + -28784.\nAnswer: -28479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123128968 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c*c**(-3\/8))\/(c\/(c\/((c*c**(-1\/2))\/c*c))*c*c**(-2\/9))*((c*c**(2\/3)*c)**46)**(-1) assuming c is positive.\nAnswer: c**(-8663\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -101*q. Let h(y) = 2*y**2 + 93. Determine h(r(t)).\nAnswer: 20402*t**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15427497 to the nearest integer?\nAnswer: 3928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {j: 2, v: 3, z: 1, k: 9, c: 1, f: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5387.4642 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(2\/(-4))\/1. Let z be ((-96)\/(-10))\/(-4) - -2. Let i = 527\/52 + -3845\/364. Which is the closest to 2? (a) z (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/96 and -133\/486?\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*u**6 - u**5 + 3*u**4 - 2*u**2 + 2396 wrt u.\nAnswer: -3600*u**3 - 60*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7}. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 520*x**2 - 13*x + 26. Let g be d(2). Suppose 9*l - g = -2*b + 4*l, -3*l + 3111 = 3*b. What is the greatest common factor of 45 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/30)*(-1472)\/4416.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2816 and 528.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*c = -221*c + 12. Suppose 10*w = -c*w + 2114. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10888*u. Let i(w) = w**2. Calculate n(i(s)).\nAnswer: -10888*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 14\/9, -44\/3, -7?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 410112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33227005 is divided by 11075665?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbrrbrrbbrebbrrb.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22419, -22367, -22285, -22173, -22031, -21859?\nAnswer: -21657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 18*r - 1. Let l be a(-6). Let o = -4 - -2. Let c be 1\/o + 7\/6. Is c not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 15) to base 11\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.325 + -0.325. Which is the closest to -0.03? (a) 2\/9 (b) 0.15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 23*c**8\/56 - 2*c**4\/3 - 24*c - 12. Let q(a) be the first derivative of k(a). Find the third derivative of q(j) wrt j.\nAnswer: 2760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640850?\nAnswer: 2, 5, 52817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**2 + 2. Let l(n) = 13603*n. Give a(l(m)).\nAnswer: -1110249654*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m - 17. Let i(u) = 7*u - 8. Let n(w) = -7*i(w) + 4*l(w). Let s be n(5). Factor -9*t**2 + t - 2 - 15*t - 2 + s*t**2.\nAnswer: -2*(t + 2)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, z: 4, k: 5}. What is prob of picking 2 z and 1 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -9. Let w(d) = 5*d - 4. Let h(y) = -y**2 - 7*y + 24. Calculate the smallest common multiple of w(v) and h(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/18*(-195)\/260)\/((-1)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -14, 0.03, 5, -5, 4, 3\/9328?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f. Let i(l) = 10*l. Let r(k) be the first derivative of k**3\/3 + 3*k**2 + 4*k - 4. Let y be r(-2). Calculate y*i(c) - 14*j(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11a2 (base 13) to base 6\nAnswer: -15322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23131.\nAnswer: 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z**2 + 2. Let l(u) = -8*u - 9. Determine l(h(v)).\nAnswer: -136*v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 60 = 5*f, -k - 4*k + 60 = -5*f. Let i = 14 + f. Calculate the highest common factor of i and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 - 2925348*w - 43880320\/3.\nAnswer: 4*(w - 2194016)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 1316?\nAnswer: 225036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbcu when four letters picked without replacement from suuusuubcumbbusuue.\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*p*w**4 - p*w**2 - 2*p*w + 58*w**6 - 1417 wrt w.\nAnswer: 2952*p*w + 6960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 84, 83, 72, 45, -4?\n\"Answer: -q**3 + q**2 + 3*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 71 = 19. Calculate the highest common factor of w and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 21 - (-1 + (10 - 3))) + 22\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (20 + 1 + -27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 6:23 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(132\/72) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -157 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3635046 (base 8) to base 11.\nAnswer: -621836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6580*o + 10824 = -6826*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2397, 2412, 2443, 2496, 2577?\nAnswer: 2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31587.71ml in litres?\nAnswer: 31.58771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4656.8144 days to weeks.\nAnswer: 665.2592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(847) + 3)**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -w + 121, -6*i = -28*w + 24*w - 154 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.9344l to millilitres.\nAnswer: 170934.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {l: 2, f: 4, q: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 808223?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*(r**(-9)*r*r)\/r)**(12\/5)\/(r**2\/(r\/r**1*r*r))**31 assuming r is positive.\nAnswer: r**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1822 times -3.1?\nAnswer: 0.56482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 398, 566, 738, 914?\n\"Answer: 2*c**2 + 158*c + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 928563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42504 (base 7) in base 2?\nAnswer: -10100100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3938, -15710, -35332, -62804, -98126?\n\"Answer: -3925*o**2 + 3*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 3. Let d be n(5). Suppose 6 + 9 = g. Suppose -102 = -2*b - d*a, -2*b + 3*a + 117 = g. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6790 = 917*z + 2205 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*q + 3*q - 632, 5*q - 4*v = 639. Let z = q + -125. Solve 16 = -5*r + z*l, -l + 2 = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239477\/170272 - -1\/5321. What is the common denominator of -35\/4 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235431244171.000015 + 235429192277. Let a = 2051900 + s. Let y = a + -6. Round y to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1739, 2281, 3769, 6677, 11479, 18649, 28661, 41989?\n\"Answer: 79*v**3 - v**2 - 8*v + 1669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(100)\/sqrt(5))**2*6.\nAnswer: -48*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/30)\/(3\/(-20)). Suppose y = -5*h + 3. Let i(m) = 10*m**3 - 2*m - 1. Give i(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599661 to the power of 1\/2, to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-231))\/2)\/(6\/(-21))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfffnlynmylyzz. Give prob of sequence nfm.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 419 = 231*u - 1805 + 67 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d - 90. Let o(x) = -2*x + 2. Let r(q) = -o(q) - v(q). Let f be r(22). Solve -11 = n + 5*h, -4*n + f*n = 5*h - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*w + 106. Suppose -6 + w = 2*b - 4*f, -5*f - 33 = -2*b. What is the common denominator of -13\/16 and (141\/b)\/(5\/(-4))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**4 + 12*s**4 - 6*s**4 + 3*s**4 - s + s + (s**3 - 2 + 2)*(s - 2*s - s) + (-s**3 + 0*s**2 + 0*s**2)*(2 - 1 + 0 - s).\nAnswer: 15*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7751)\/69)\/(1\/(-177)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5699 divide 276719347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - (10 + 4 + -25). Are 4\/1057 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1809, -3618, -5427?\nAnswer: -7236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00319 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 39 = -3*a, -184 = -5*u + 8*a - 4*a. Let s = u - 31. Suppose -s*z - 21 = -b, -5*z = -3*b + 31 + 22. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 16*g + 48. What is the lowest common multiple of g and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.852133*0.5.\nAnswer: -4.9260665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:57 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m + 4*o, -7 = -3*m + 4*m - 5*o. What is the second derivative of -3*w**2 - 91 - 64*w**3 - 59*w**3 + w + m*w**2 + 82 wrt w?\nAnswer: -738*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 5. Let s be t(7). Suppose -100*h - 24 = -3*d - 99*h, 3*d - 54 = -4*h. What is the smallest common multiple of d and 37\/2 + s\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1 - -4)\/(-3). Let z(s) = 13*s**3 + s**2 - 2*s + 1. Let c be z(a). Solve -5*t + 2 = -2*r + c, -2*r = 2*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - -5.01. Let y = 45 - s. Let v = 39.906 - y. Round v to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2528\/9 in 6, -6, 0.21?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - m - 449*m**3 - 88 + 70 as i*m**2 + a + u*m + d*m**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*m + 9, 3*d + 33*m = 37*m + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 14 = -3*g + 2*t, 2*t - 34 = -5*g. Suppose 4 = 5*c - g. Solve -5*o - 5*x = 4 + 11, -2 = -c*o + 2*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362582528*z**2 - 7*z - 5030581 wrt z?\nAnswer: -725165056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 0.7, 5, -5 in decreasing order.\nAnswer: 7, 5, 0.7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = i - d, -147 + 159 = 5*i - 2*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1342989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a**5 + 6*a**5 + 6*a**3 - 12*a**2 + 12*a**4 + 7*a**5 - 2*a**3 - 8*a**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.468 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1482 by 242.\nAnswer: 741\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/11 + 4878*k**2\/11 + 219584*k\/11 - 2681640\/11 = 0. Calculate k.\nAnswer: -54, 10, 2483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let a(b) = 2338*b. Determine a(q(k)).\nAnswer: 2338*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 2. Suppose 3*o - 42 = 24*o. Let i(t) = -t - 2. Suppose -23*j + 15 = -18*j. What is j*i(y) + o*c(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 4. Let b be v(-3). Suppose 6*x - 91 = 2*x - 3*r, -r = -b*x + 109. What is the highest common factor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3116582 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:20 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6 (b) 29632 (c) -21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*h + 4*w + 10, -4*w = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 22 - 118. Let m be 1\/(-1) + -57 + 1. Let u = s - m. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t + 9. Suppose -103 = t*l - 313. Let c = l + -17. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -14*p**2 + 15*p**2 - 4 + 2*p + 2. Let g be s(2). Suppose -g*v = -19 - 35. What is the remainder when 44 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 2*m - 52. Let t(u) = 5*u**2 + 2*u - 53. Determine -3*d(i) + 2*t(i).\nAnswer: i**2 - 2*i + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43238*f**3 + 3 - 2*f - 3*f**4 - 5 + f**2 - 43239*f**3 to y*f**2 + d*f + h*f**4 + l*f**3 + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/30)\/(4\/(-3))*0. Let h be -5 + (x - -1) - -8. Solve 5*y - 18 = -m, 0*m - 3*y = h*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203632 and 57964632.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 2*r**5 + r + (4*r**5 - 4*r**5 + r**5)*(2 - 3 + 2) + (-770*r**5 + 1177*r**5 - 724*r**5)*(4 - 2 + 0).\nAnswer: -635*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 49209 = -2434. Let w = -63355 - k. Round w to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1086844 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5\/3, -2192, 0.3, 0 in increasing order.\nAnswer: -2192, -5\/3, -0.2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 + 8*g**2 + 59500*g**3 - 59510*g**3 - 31*g**2 + 13*g**2.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - s = 42 - 30, -52*s = -g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w. Let s(b) = 11*b. Let d(m) = 3*s(m) - 4*y(m). Let c be (1 - 2)*(8 + -7). List the prime factors of d(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from hnsmn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8157 bigger than 8157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 10*o**3\/3 + 6. Let q(f) = f**2. Calculate h(q(p)).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51726645 to the power of 1\/2, to the nearest integer?\nAnswer: 7192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a**3 - 2*a**2 - 117*a - 530. Give y(-5).\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18915 - 1836.5.\nAnswer: 17078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.86 in -0.3, -2, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1863 = 33*r + 174*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2719 + 2726. Let b = -0.2 - -0.2. What is the biggest value in a, -4\/3, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 28*t + 10. Let k(j) = 15*j + 5. What is 5*k(q) - 3*u(q)?\nAnswer: -9*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 133 = -50*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*n + 44, m + 2*m = 12. Let c(g) = 2*g**2 - 4*g + 5. What is c(n)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-39) - (-49)\/(-1050)*5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d9f53 (base 16) in base 10?\nAnswer: 10329939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 - 21*u**2 - 11*u + 16. Let v(g) = g**3 + 4*g**2 + 2*g - 3. Calculate -11*v(a) - 2*y(a).\nAnswer: -3*a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1, 1\/1891, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*b = -32, -112 = 5*p - b - 28. Let m be 0 + 0 + 1 + p. Let q = m - -21. Solve 0 = -i + q*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.48024nm in meters?\nAnswer: 0.00000003448024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(110)*3)\/(sqrt(60)\/(sqrt(6) + -3*sqrt(6))))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18098, 3 in descending order.\nAnswer: 3, 2, -18098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and (11\/(-2) + 1)\/((-10683)\/(-1188) - 9).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.9, -405, -23, -0.3?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 254*h**2 - 4885*h + 192. Give i(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95110153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30467.\nAnswer: 30467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:40 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21719334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 7*u**2 - 4*u + 1. Determine n(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1398435 > -1398408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*i + 3*q + q, 3*q = i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-132)*(-75)\/250?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 77308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 94?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by 63?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c + c**4 + 5*c**4 + 4*c**3 - 4*c**3 + (3*c + c**2 - 3*c)*(c**2 - 3*c**2 + 0*c**2).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44727100 and 385.\nAnswer: 313089700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + f + 0*f + (4 - 3 - 3)*(2 + 2*f - 2) + 2*f + 2*f - f + 95*f - 28030 + 28030.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -525 + 813. Let v = l - 287.9999654. What is v rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 - -0.03. Suppose 2*q + 4 = 0, 3*o + 0*q - 5*q = 85. Suppose -o = -14*k + 3. Which is the nearest to 5? (a) k (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxwwwxwxw. Give prob of sequence xwww.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5734776, -5734925, -5735074, -5735223, -5735372, -5735521?\n\"Answer: -149*i - 5734627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**8\/1680 - z**7\/210 + z**6\/90 + 2*z**3\/3 + z. Let u(q) be the second derivative of d(q). Factor u(r).\nAnswer: r**2*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*j - 6914 = 5546 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1113 = -5*r + 5887. What is l in 9 - 500*l**4 - 297*l - 1440*l**2 - r*l**3 - 117 + 328*l - 679*l = 0?\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -33. Let t(o) = -o**2 - 4*o + 6. Give t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose 5*z + 44 + 141 = 0. Let w = 39 + z. Solve v = -w*r - r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 565314 (base 13) to base 2\nAnswer: 111110001111000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3452\/16405 - 24\/965. Which is greater: 22.1 or z?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 197*q + 1283. Let p be y(-7). Sort -6, 4, p, -2 in descending order.\nAnswer: 4, p, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. What is the biggest value in 15, l, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:56 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 1. Let t(r) = -162*r**2 - 12. What is t(s) + 12*u(s)?\nAnswer: -198*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 136\/(4*4\/40). Suppose -2*r - 3*r = -s. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 3 - 3 + (2*t - 2 + 2)*(0 + 3 - 5) + 5*t + 2*t - 6*t - 11 + 6*t + 0 - 5*t.\nAnswer: -5*t - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.5 + 13. Let v = 2 + -1.8. Let g = 0.1 - v. Which is the smallest value? (a) g (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 n when three letters picked without replacement from {s: 2, u: 1, z: 2, y: 1, n: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -4\/3*w**3 - 7*w - 3\/2*w**2 + 2 + 1\/4*w**4. Let t be u(5). Solve 0 = t*c - 7*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7045304*1.\nAnswer: -7045304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2582298 and 3443064.\nAnswer: 10329192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -567 = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2, -4*y - 18 = 5*g - 6*g. Let c be (-225)\/30*(-8)\/y. Let d be (9\/30)\/(c\/(-8)). What is the closest to -4 in -0.2, 3, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyyyfoyoq. What is prob of picking 2 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Suppose 0 = 10*j - 14*j + 12. Suppose 0 = -5*b + 4*y + j, 5*y - 12 - 3 = 0. What is the least common multiple of s and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 12*b + 8. Let y be a(12). Solve -2*n + 2 = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -15 (c) 1\/5 (d) 520 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*r = -2, 4*t - 1 - 6 = -3*r. Let g = -209 - 207. Let m = 418 + g. Solve -24 = t*i - 4*w, -3*i + 2*w + m = 4*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55704 + 2?\nAnswer: 55706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/19)*o)**(-9) assuming o is positive.\nAnswer: o**(-324\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 + s + 8. Let n be m(-8). Suppose -14 = -2*j - 3*w - 70, w + 4 = n. Is 4\/j + (-3695)\/(-55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1041, 4161, 9351, 16611, 25941, 37341?\nAnswer: 50811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1. Let g(v) = 104*v**2 - 4*v - 1. Let s(u) = g(u) - 4*y(u). Let l(t) = 4*t + 14. Let m be l(-4). Is s(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 + 3049354*j + 11623199771645.\nAnswer: (j + 7623385)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 403, 804, 1205, 1606, 2007, 2408?\n\"Answer: 401*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45135, 45162, 45189, 45216, 45243, 45270?\nAnswer: 45297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c + 72. Let g = -24 - c. Suppose 2*b + 5*k = 3267, -3 = -3*k - g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 2347 = -2312 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/87? (a) -0.1 (b) -3 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let a be (-480)\/(-30) - (-1 - -9). What is the least common multiple of 3 + 2 - (-6 - (a - 7)) and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1e837?\nAnswer: -1e832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + (13 - 13) - -5821?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = -2*l - 101 - 49, -191*x - 2*l = -196*x - 50 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*f + 2 - 16, 28 = 2*f + 4*z. Suppose 1 = 4*q - 7. Suppose 8 = 3*n - q*n. What is the lowest common multiple of n and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 p, and 1 d when four letters picked without replacement from ddddhpdppllddaldddl.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -65*r**2 + 0*r + 0*r + 61*r**2. Let y(g) = 8*g**2 + 3. Let t(s) = 15*s**2 + 5. Let l(u) = 3*t(u) - 5*y(u). Calculate l(h(i)).\nAnswer: 80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - 1)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 3*z - 66 = 53 - 131, 0 = -4*z - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116 a factor of 72049800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*g + 87 = -150*g. Find the second derivative of 21*h + 2*h**5 + 57*h**2 - 28*h**2 - g*h**2 wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/30 - 4*d**5\/15 - 5*d**4\/6 - 4*d**3\/3 - 8*d**2. Factor i(o).\nAnswer: -4*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 45*t + 718 = 0, -2*k - 124*t = -126*t - 34 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-651))\/((1414\/(-1010))\/(42\/(-15))).\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1871670 * -143\nAnswer: -267648810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -1.2, 1\/45, 97?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 79*r + 29. Let p be j(-4). Let l = -183 - p. Suppose -102*u + 4 = -l*u. What is the smallest value in 4, 0.09, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 1, o: 1, u: 1, h: 1}. What is prob of sequence od?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123 + 229 = 169*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.42, 4\/5, 4.\nAnswer: 0.42, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.048 + -0.152. Which is the smallest value? (a) 0.2 (b) 2\/49 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from zozzoouz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 + 257156*j**2 + 771454*j + 514300 = 0. Calculate j.\nAnswer: -128575, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 547*a + 85. Let o(i) = 182*i + 31. Determine 11*o(h) - 4*q(h).\nAnswer: -186*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/539 and 113\/3392620.\nAnswer: 23748340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a factor of 299975690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2750)\/(-18) - (-4 + 102\/27). Suppose 3*o - b = 240. Let t = o + -34. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.4, 33, 1 in increasing order.\nAnswer: -0.07, 0.4, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 2*t**2 - t - 4. Let g be s(3). Let c be (4 + -2)\/(2\/2). Let o = -2 - -4. Solve g*x - o*k = 12, -c*k - 8 = 3*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9380\/(-50) - (-2)\/1. Let z = -184 - c. Is z > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6776949ml to litres.\nAnswer: 0.0006776949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -35. Let d = z + 22. Calculate the greatest common factor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476365 < 476365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -da0a (base 15) to base 13\nAnswer: -17ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z + 3 - 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20178 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-23) + (-3)\/(6\/(-4)). Solve -i*y - 3 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(539) - (-2 + sqrt(539)) - sqrt(539)) - sqrt(539))**2.\nAnswer: -56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.018 (b) 0.059 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - sqrt(33)\/sqrt(3)) + -2 + sqrt(275) - sqrt(44)\/(sqrt(64)*3).\nAnswer: -4 + 59*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2198400 and -2198393 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from aaaammm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 83106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from xxxgiix.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.14 + 48.14. What is the third smallest value in u, 1\/5, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:07 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 13*k**2 - 8*k**2 - 2 + 3 - 9*k**3 + 2*k**2 + k as v*k**2 + t*k**3 + m + l*k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10202 + 1?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.53 - -0.13. What is the nearest to 0.1 in l, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 5) to base 12\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13393 times -0.5?\nAnswer: -6696.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/20 - u**3\/5 - 3*u**2\/10 - u\/5 + 518. Let h(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + -114656?\nAnswer: -115023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000100 (base 3) to base 4.\nAnswer: 321012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 531 + -400. Find the second derivative of 311*u**2 - 191*u - 608*u**2 + j*u**3 + 299*u**2 wrt u.\nAnswer: 786*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 11. Let d = u - 1. Let z(q) = d*q + 4*q - 4*q - 4*q. Let s(y) = -y**2. Calculate z(s(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316 and 9.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-42)*-4)\/((-3)\/(-21)). Let y(q) = 5*q**2 - 4*q + 1. Let z(g) = g**2 - g. Calculate a*z(f) + 4*y(f).\nAnswer: 2*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 + 578 = -5*o - 4*f, o - 4*f + 163 = 0. What is the common denominator of -7\/11 and o\/(-333) - 0\/1?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234093789*n**3 + 676*n - 181492?\nAnswer: -1404562734*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b51 (base 14) to base 12\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 3, q: 2, w: 4}. Give prob of picking 2 w, 1 r, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 669533 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = 10*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(32)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*7*40\/(-140)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w - 4*w - 1307*w**2 + 2*w + 9998 - 13976*w**2 wrt w?\nAnswer: -30566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451872 divided by -4707.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (-4897)\/118)\/(2\/(8\/15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 25404010?\nAnswer: 76212030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.71 - 54060942052.\nAnswer: -54060942051.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 20. Let t(y) = -39*y + 1. Is t(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 0.054.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*s - 21, -7*s + 2*s + 20 = 3*t. Suppose 4*o - 13 = g + 2, 4*g = 2*o - 18. Let n be (o - 1)*2 - -12. Solve -l = -1, -2*l - 2*l = -t*x + n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2*4\/8. Find the second derivative of -254*d**q + 254*d**3 - d + 3*d**4 wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -37, -1\/2, -2, 1\/1515 in descending order.\nAnswer: 17, 1\/1515, -1\/2, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1c38f (base 16) to base 7\nAnswer: -661011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 22, 11, -2, -17, -34, -53?\n\"Answer: -c**2 - 6*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, r: 4, s: 4, h: 1}. Give prob of picking 1 s, 1 h, and 2 r.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkuuukkkkkkkkkkkkk?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6641 = -5*z + 4*l, 0 = -5*z - 13*l + 9*l + 6649. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 12:20 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -2*q - 19, -65 = 5*q - 3*w. Let f be (-26)\/q + 6\/(-10). Suppose -f*h = -35 - 3. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**9*z**8*z**5\/(z*z**(-2\/17)))**(5\/21))**(2\/117) assuming z is positive.\nAnswer: z**(3590\/41769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -726, -734, -744, -756, -770, -786?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4 (c) 1264\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -50, -98, -174, -284, -434, -630, -878?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 5. Give s(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.3165ng in tonnes?\nAnswer: 0.0000000000006593165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 56\/5. What is the biggest value in y, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Let r(p) = -p**2 - 2*p. Let v be r(d). Suppose 27 = o + 5*h + 6, -h + 3 = v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + 5 + (-14 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/916 and -143\/18?\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*x - 30295 = 218*x - 173*x + 10505 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*l**3*s - 2*l**3 - 251*l**2*s - 106*l**2 + l*s + 1002*l + s - 8 wrt l.\nAnswer: 750*l*s - 12*l - 502*s - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3502306544 - 3502492240.9993. Let k = z + 185687. Let h = -10 - k. What is h rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w + 13*w - 4*w + (2*w + 0 + 0)*(-4 + 3 - 1).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 68724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*4 + 1530\/15. Let p = m - 95. Let -2404*w**2 + 2399*w**2 + 42 + p - 40*w = 0. Calculate w.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -316517*n. Let t(b) = -b**2. Give t(d(h)).\nAnswer: -100183011289*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b + 42*b + 8 = -k, -5*b + k + 28 = 0. Which is greater: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1449*a**5 - 176*a wrt a.\nAnswer: -28980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.455\nAnswer: 0.2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n, 2*y = -y + 5*n + 29. Suppose i = 3*i - y. Suppose -24 = 3*s - i*r, -20 = 3*s - r - 5. Put 1, s, 0.5 in ascending order.\nAnswer: s, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8826049 and 287725.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/735)\/((-10)\/(-25))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 + 155*i**3 + 228*i**2?\nAnswer: 240*i**3 + 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159421133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 116441?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from ttzzbpzbspzpjsbspzsb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 49629*t**2\/5 + 9930*t + 21\/5 = 0.\nAnswer: -1, -7\/16543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 557492038 divided by 18554.\nAnswer: 30047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*f + 21, 5*f - 19 = -0*j - j. Let w be 2\/(-3) - 354\/(-18). Suppose 0 = j*p + 3 - w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 56 - 44*x to the form i + b*x and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + (-8)\/(-4 + (-7650)\/(-1915)).\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -54. Suppose -q = 5*v - 22, -70*v = -a*v + q + 18. Solve -9 = 4*k + v*d + 9, -k = -2*d - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*g + 1578 = -14*g + 208 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*z + 98*z + 280*z to the form d*z + k and give d.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -3, -135, -16938 in descending order.\nAnswer: 100, -3, -135, -16938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 100 (b) -1\/4 (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**2 + 14*w - 13. Let d(p) = -5*p**2 - 7*p + 7. Let b(k) = 13*d(k) + 6*s(k). Let x be b(6). Suppose -x = g - 65. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 468895, 468892, 468889, 468886?\n\"Answer: -3*v + 468898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-3)\/(-8)) - -2. Let i = -0.155 + 0.455. Which is the third biggest value? (a) d (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(-2*(-3 + sqrt(1300))**2 + sqrt(1300) - (1 + 5*sqrt(1300))).\nAnswer: -1280*sqrt(13) + 41904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -4, 10841.8, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490825.8ng to tonnes.\nAnswer: 0.0000000004908258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2072 - -3051. Let h = i - 978. Let y = 0 - 3. What is the second smallest value in 0.1, y, h, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 - 18 - 170*w + 30 + w**2 + 107*w - 21 in the form g*w + x*w**2 + k and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194*-709.\nAnswer: 137546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(sqrt(6)\/sqrt(3))**2*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 453928*v**3 - 129182*v + 1 wrt v.\nAnswer: 2723568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k**(-10)\/k)\/(k**1)**(-50) assuming k is positive.\nAnswer: k**(353\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(96)\/(sqrt(96)\/sqrt(8))))**2*-1*-2 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-6) - (-20)\/30. Let q = z + 17. Calculate the greatest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448287 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -163091464 to the nearest ten thousand.\nAnswer: -163090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4243*a*c**2 - 2*a*c - 65*a + 494476*c**2 wrt a.\nAnswer: -4243*c**2 - 2*c - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2. Let o(t) = -t**2 - 3*t**2 - 87*t - 7*t**2 + 13*t**2. Calculate o(q(z)).\nAnswer: 2*z**4 + 87*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 + 5.8. Let m = -2.5 + a. What is the nearest to 2\/7 in 0.02, -2\/7, m?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 389*d.\nAnswer: -d*(d + 389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5672*l - 1 - 10*l**3 + 9*l**3 + 1.\nAnswer: -l**3 + 5672*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29205.4 rounded to the nearest one hundred?\nAnswer: -29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -88160000 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*q + 86 = 0, -k = -0*q - 4*q + 30. Let l be 4\/14 + 4\/k. Suppose a = -l*a. Solve a = 4*h + 3*m - 1, h - 5*m = -0*h + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3864)\/(-296) - ((-104)\/(-120))\/(59\/885)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5883655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 0, -l + 4*r - 14 = 4*l. Let k be (l + 1 - 0)*-28. Suppose 2*x + 2*x - k = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208351, -208303, -208255, -208207, -208159, -208111?\n\"Answer: 48*l - 208399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/3 (b) -2\/25 (c) 1324 (d) 2\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*4*-6*(sqrt(539) - (-2*sqrt(539) + sqrt(539))) + -1)*6.\nAnswer: -2016*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 34779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2223304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 + 582\/(-48)*-8. Solve 120*t + 35 = m*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 7*f**2 - 25*f**3 + 23*f**2 + 37*f**3 - 7*f**2 to h*f**2 + v*f**3 + z + g*f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7. Let k = -1 - q. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)\/(5\/(-95)). Let d = b - 16. Let k = d + 32. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -929, -1837, -2745, -3653?\nAnswer: -4561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/8 - 945\/168?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12411550 (base 9) in base 8?\nAnswer: 27166073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2 + 29*w\/7 - 36\/7 = 0.\nAnswer: -36\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o + 4*i, -61*o - 2 = -62*o - 4*i. Solve 2*v - q = 0, 6 - 3 = v - o*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8653*y**6 + y**5 + 298*y**2 - y + 25 wrt y.\nAnswer: -1038360*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690*c + 3*c**2 - 5068*c + 1692*c + 0*c**2 + 1686*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 4*m - m)*(-3 + 3 + 3) + (-103 + 7*m + 103)*(4 - 3 - 3) to c + b*m and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(252) + 0 + (sqrt(14) - sqrt(14)*2)\/sqrt(2))**2.\nAnswer: -50*sqrt(7) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019087 rounded to 5 decimal places?\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + m - 14*m - 637*m**2 + 5*m + m.\nAnswer: -637*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-5))\/(1\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*w**3 + 8*w - 8*w**2 + 168*w**3 - 89*w**3.\nAnswer: -2*w*(w + 2)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:15 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 1 + 1)*(5*u + 78 - 158 + 77).\nAnswer: -5*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8.6. Let n = -0.60000064 + a. Round n to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280705088 divided by -1406\nAnswer: 199648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) 2\/3597 (c) 1407\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(255)\/sqrt(180))\/sqrt(3).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 514.06128 - 465.0607. Let g = -49 + h. Round g to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)*z*z**(1\/6))\/(z\/(z\/((z\/z**0)\/z)*z))**(-1\/4))**14)**(-19) assuming z is positive.\nAnswer: z**(1729\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 5*s - 3. Let a be n(3). Suppose 2*y + 6 = 0, 0 = 3*b + y - a*y - 183. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 6*f - 7. Let k be p(7). Suppose k = 2*a + 2*a. Let n(g) = 4*g**2 + 1 - 11*g**2 + 8*g**2. Determine n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 + 79*p + 22. What is w(12)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-438)\/(-10) + (-26)\/260*8. Solve c*n - 6*n - 222 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5629484748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 7248*v + 4177390.\nAnswer: 2*(v + 719)*(v + 2905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 89726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122111 - 1?\nAnswer: -122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 7, k: 3, d: 1, y: 2}. What is prob of sequence ssd?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + 7545\/20. Let j = 588 - t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a factor of 346317423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27192.447 months?\nAnswer: 22.6603725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/(-6) + 6 + -7)*12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/564 and -101\/125302.\nAnswer: 751812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.117 + -3.917. Let t be 2\/3*-2*3. Which is the biggest value? (a) r (b) t (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(17\/816). Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 6*a - 5*a + 5, -x - 180*a - 191*a + 369*a = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6546, 6544, 6542, 6540, 6538, 6536?\n\"Answer: -2*f + 6548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.1 and 1242?\nAnswer: 1248.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(3*(-3)\/(-12)*1*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -11, -6, -1, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3418.276 millilitres in litres?\nAnswer: 3.418276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0295 and -16940.\nAnswer: -499.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*2*4)\/((sqrt(36)*-2)\/sqrt(9)).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/12)\/t)**(1\/6)*(t*t*t**(-4\/5))**(-1\/52) assuming t is positive.\nAnswer: t**(-43\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 20. Let c(h) = d*h + 41 - 41. Determine c(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73, 166, 259, 352, 445, 538?\n\"Answer: 93*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2191924 or 1?\nAnswer: 1\/2191924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = 2*j, 3*j + 4 = -2*q + 6*q. Suppose -j*r - 4070691 + 414691 = 0. Round r to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17400216 + 5?\nAnswer: 17400221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4249097 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 12.18. Let l = i + 8. Let a = 4.0008 + l. What is a rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -3*k**2\/2 - 4*k - 36. Calculate c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 17*o**2 - 2*o**3 - 2*o**4 - 126 + 127 + 2*o**4 to the form l*o + c + g*o**4 + y*o**2 + h*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 2*f**5\/5 - f**4\/2 + 7*f**3\/6 - 2*f**2 - 5*f. Let q be p(4). What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = 2. Suppose -3*v - 2*r + 11 = 0, -i*v + 23 = -3*r + 7. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-3 - 0)\/3. Let a be k\/(-3) + (-44)\/2. Let t be (a\/14)\/((-4)\/(-2)). Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-69)\/46*2\/((-54)\/101) and 41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10.09. Let q = x - 0.01. Does 1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/25 of a kilometer?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*u + 4*b, -50 = -0*u + 4*u + 3*b. Let q be 166\/u - 6\/42. Let c be (q\/(-3) - 6)*-91. Round c to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 85*s**2 - s + 21 + s.\nAnswer: -85*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2395 and -1215.93?\nAnswer: 2912152.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {t: 8, s: 4, p: 1}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10 = 4*u, -18*u + 19*u = a - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s. Let p(o) = 20 - 20 - 9*o. Let z(k) = -4*k. Let r(n) = 2*p(n) - 5*z(n). Calculate v(r(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + (-7)\/(-4). Suppose 2*t - q + 0*q + 1 = 0, 0 = -t - i*q + 7. Suppose -4 + t = -z. Solve -z*o + 5*o + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 2\/(-14) + ((-3)\/(-14))\/(23\/324806).\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121221200 (base 3) to base 13.\nAnswer: 11778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87 + -25?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 6 = 15*b + 19*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (55*(-4)\/(-66))\/(4\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*z + 11, -826 = -10*z - 4*a - 0*a - 860 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3024*q - 3030*q + 480. Calculate the remainder when 278 is divided by q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let w(t) = -12*t. Let c(l) = 42*h(l) + 3*w(l). Let s(z) = -z**2. Determine s(c(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 3\/2 (c) -1\/308 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 0.054, -4, -1\/6423 in increasing order.\nAnswer: -4, -1, -1\/6423, 0.054, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 32. Suppose 4*a + 5*s - 46 - 33 = n, -63 = -3*a - 3*s. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 19, 8, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -7. Let i be y*(18\/(-4) - -1). Let m = 137 - i. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.275 + -0.725. Let r be 4\/8 - (-2)\/(-8). Which is the nearest to -0.2? (a) v (b) -6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45602689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110555380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 18. Let b = y + 5. Suppose 3*k = -2*c + 5*k + 16, -14 = -4*c - 2*k. Put -1, b, c in descending order.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 11*d - 10. Suppose -3*b + 15 = -966*w + 967*w, 5 = b - 4*w. What is g(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/5, 29\/5, 4, 1456?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6286 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15691958 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.3. Let t = -0.2 - r. Let a = 0.1 + t. Sort -3, a, -0.5 in ascending order.\nAnswer: -3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395171481 to the power of 1\/3, to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(3) + sqrt(3) + -3)**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 150 = -0*s - 5*w, 0 = -w - 2. Let b be s\/7 + 28\/98. Suppose -3*x = b, 3*x - 192 = -g - 42. Round g to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -24.9999934. What is n rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 5 in decreasing order.\nAnswer: 5, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3521 = -33*f + 1429. Suppose -2*l + 50 = -3*l. Let o = f + l. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-4)\/16)\/(8*(-108)\/192).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 4*i + 3. What is d(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 181883, 181886, 181891, 181898, 181907?\n\"Answer: k**2 + 181882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**6\/60 - x**5\/40 - 13*x**4\/24 + 25*x**3\/12 - 3*x**2 + 59*x - 34. Let q(r) be the first derivative of s(r). Factor q(n).\nAnswer: (n - 3)*(n - 1)**2*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - (3 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 63. Let h(d) be the first derivative of -d**2 + 1555. What is h(u(q))?\nAnswer: -6*q**2 - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 1, -2*t + 13 = 3*s. Solve -t*a + 12 = -6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 913.571 meters?\nAnswer: 913571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kftyftkffkfaut. Give prob of picking 1 u and 1 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 13*l**2 - 9*l - 13. Let a be 15 - -2 - 2 - (3 + 0). Let g be z(a). What is the highest common factor of g and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -3. What is the tens digit of -3 - (258*m)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)\/a**(-1) assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6865 or -2\/9?\nAnswer: 1\/6865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12624 times -48.415\nAnswer: -611190.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1916*k**2 - 14*k + 7. Let q(p) = 1277*p**2 - 10*p + 5. Let x(f) = 5*c(f) - 7*q(f). What is the tens digit of x(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8223 + 8227. Which is the nearest to 0.1? (a) -0.3 (b) -5 (c) u (d) -1.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(98) + 1)**2 + (1*sqrt(98)*-6 + sqrt(98))**2 + -4.\nAnswer: -28*sqrt(2) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2233369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 77*v**2 + 363*v - 10592. Determine n(74).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h + 4. Let p be s(4). Let d(r) = r + 7. Let n be d(-6). Suppose 0 = -11*y - 55*y + 263 + 67. Sort p, n, y in decreasing order.\nAnswer: y, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 1151.\nAnswer: 1151.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 2, t: 1, d: 1}. Give prob of picking 2 x and 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 38*i - 16. Let z(c) = -5*c - 2. Calculate -y(r) - 10*z(r).\nAnswer: 12*r + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5023 - 4791. What is the remainder when t is divided by 211?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/31476395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4\/3 + 14\/3*b - 10\/3*b**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5686*n**3 + 2*n**2 - 5*n - 270.\nAnswer: -34116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152\/7, 17550, -7 in decreasing order.\nAnswer: 17550, 152\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (21 - (-41 - -76))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/60 + c**4\/3 + 2*c**3\/3 - c**2. Let v be m(-10). Let f = 3017 + -2969. Calculate the highest common factor of f and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.91831521 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r + r)*(5*r - 2*r - r)*(1 - 1 + 2).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 - (1400\/(-180) - 8\/36). Which is smaller: g or -737?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 182651.8 and -4.\nAnswer: 182647.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.052496ml in litres?\nAnswer: 0.003052496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 226200000 to the nearest one million.\nAnswer: 226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5846375, 5846376, 5846377?\nAnswer: 5846378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -2*q. Let o(l) = 12*l - 3. Let x(f) = 36*f - 9. Let u(z) = 7*o(z) - 2*x(z). List the prime factors of u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/12 + 7*t**2\/2 + 2*t. Let v be (-4)\/((-100)\/(-5))*0. Give a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 3*s**2 - 534*s + 2362. Determine m(0).\nAnswer: 2362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Let o be -3 - (4 - -2)*2\/(-4). Is b < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1125334\/5 - (-36)\/90. Round z to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4162291 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m - 1. Let a(r) = -3*r**3 - 5*r + 5. Let p be 1\/(-2)*(-8 + 2). Suppose -3*b = p - 33. Let i = -9 + b. What is i*a(q) + 5*t(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*o**3 + 5*o**3 - 2 to the form z*o + j + g*o**3 + a*o**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quuq when four letters picked without replacement from qqqqququ.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 5\/3*q**3 + 4*q - 1 - 7\/2*q**2 + 1\/4*q**4. What is the tens digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 138*r - 2*r**2 - 138*r. Let j(p) = 7*p. Determine j(q(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 + -0.54. Is -3\/34 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**4 - 7*p**3 + 5*p**2 - 15*p. Let r(k) = -k**4 - 22*k**3 + 15*k**2 - 40*k. Let s(x) = -8*c(x) + 3*r(x). Factor s(m).\nAnswer: 5*m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.166 centuries to years.\nAnswer: 5716.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + (4 + -18)\/(-1). Calculate the highest common factor of h and 618.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82422120 - 5?\nAnswer: 82422116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/10 + 16*b**3\/3 - 192*b**2\/5 - 9216*b\/5 - 6718. Factor m(r).\nAnswer: -2*(r - 24)**2*(r + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitttiittiti. Give prob of sequence iiit.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n**0*n**(-1\/6)*n*n*n**6)**21 assuming n is positive.\nAnswer: n**(317\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 696472?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 116. What are the prime factors of p*6*(-126)\/(-49)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-90237)\/(-420)*16. Let c be (1\/5)\/(18\/(-309545)). Let v = c + g. What is the common denominator of 71\/30 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (-2*sqrt(2299) + 4)**2 + -4).\nAnswer: -9205 + 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + g**2 + 11*g**2 + g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -32*m - 2. Suppose 4*u - 1 - 3 = 4*i, -4*u = i + 16. Let o be v(i). Let z = o + -47. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -245*l**2 + 4278. Let f(t) = -82*t**2 + 1426. Let u(a) = 7*f(a) - 2*m(a). Find the first derivative of u(o) wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37920 and 75615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/12 - 5\/4. Which is smaller: 2\/7 or m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 i when four letters picked without replacement from isiiisisiiii?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 12 + 16. Let g be (-2 + w)*36\/(-8). Let o = g + 107. What is the greatest common factor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1\/853, 0.3, 1 in increasing order.\nAnswer: -12, -1\/853, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657375?\nAnswer: 3, 5, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/32)\/(15*16\/(-320))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1469181093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004346 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.664 * 105321\nAnswer: 69933.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 8*v**2 - 6*v + 7. Let j be h(7). What is the smallest common multiple of 9 and 88\/j + 4\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7695291 is divided by 623?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h. Let q be a(-1). Let k be (285 - 290) + (3 - (1 + (-3 - 0))). Sort k, q, 6, 5 in ascending order.\nAnswer: q, k, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Let r be j(4). Suppose 4 - 16 = -r*g. Suppose y = 0, -g*y + 40 = 2*c + 10. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 837214385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1045.684795 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/3)\/3)\/((-5888)\/(-368))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 60 = 3*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055238 rounded to 5 dps?\nAnswer: -0.00552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/(c\/c**8))**(3\/16))**13 assuming c is positive.\nAnswer: c**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + u - 34 = 0. Let d(k) = 1. Let m(f) = -11*f**3 - 2. Give u*m(a) - 4*d(a).\nAnswer: 11*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1520 + -7554\/5. Calculate the common denominator of x and 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {c: 1, m: 1, b: 1, p: 9, x: 7, w: 1}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 12. Let m(p) = 1. Let g be 172\/(-14) + (-2)\/(-7). Determine g*m(n) - v(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x**3 - 2*x**2 - 5*x - 3. Let r be y(-1). Which is greater: r or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7396140.\nAnswer: 2, 3, 5, 123269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1425408 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*n + 150 - 48*n - 173 + 96 wrt n?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*2*420\/7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*z + 5855 = -842, -3*z + 1347 = u. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -3, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = a + 4*a. Let o be (-4)\/a*(-18)\/(-60). What is the smallest value in o, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n, 0 = 3*g + 2*n + 2*n + 3. Solve g*z = -h + 5, 2*h + 7 = -2*h - 3*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-516) + (-2375)\/(-215). Solve -a*o = 14*o - 50 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + 48*x + 15. Calculate u(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4509947014.\nAnswer: 2, 67, 33656321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 13*z - 7. Suppose -k - 3*h + 21 = 0, -2*k + h + 2*h = -15. Let g be q(k). Solve -u + 4*c = -7, 3 = 2*u + g*c + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 1, m: 1, z: 2}. What is prob of sequence aaz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -148\/3 - 292\/3*s + 4\/3*s**3 - 140\/3*s**2 = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 - (2 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -44. Suppose 4*z + 0*z - c*d + 37 = 0, 4*d = -4*z - 28. Is (-1)\/z + (-6110)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/18020 and 5\/4876?\nAnswer: 414460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 8*r**2 + 11*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 7*g**3\/3 - 5. Let k(b) = 1 + 2*b**2 - 1. Give k(h(z)).\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 45*u - 14*u.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -29ab7a?\nAnswer: 29ab77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01521862 to five dps.\nAnswer: 0.01522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30116, -29494, -28458, -27008?\nAnswer: -25144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 106440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 - 204*j**4 - 972*j**3 - 1722*j**2 - 1329*j - 378 = 0. What is j?\nAnswer: -63, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence updw when four letters picked without replacement from {v: 6, d: 1, u: 8, y: 2, w: 2, p: 1}?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8326 - -3d?\nAnswer: -82c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 + -5?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 5*n**3\/6 - 11*n**2\/2 + 71*n. Calculate k(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/81, 2, 204\/121.\nAnswer: -4\/81, 204\/121, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.90789 from 0.\nAnswer: -5.90789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let g(x) = 38*x - 5. Let v(q) be the first derivative of 19*q**2\/2 - 2*q + 10. Let s(w) = -2*g(w) + 5*v(w). What is s(p(y))?\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + n**2\/2 + 2*n + 1. What is the units digit of a(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 1580 = -3*j. Let f = 340 + j. What is the remainder when f is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 249.0531 nanograms?\nAnswer: 0.0002490531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, 1715, 6250, 12597, 20756, 30727?\nAnswer: 42510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-28)*(-12)\/3 + 0. Is q greater than -4\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 59. Suppose -24*r + w = 338. Let m(d) = d**2 + 15*d + 17. What is m(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 4144122502.\nAnswer: 4144122502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose 2*x - x - 5 = 0. What is g in 2*g + x*g**3 - 4*g**b + 8*g**2 + 5*g**3 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 - (-112 - (-13)\/(-13)) is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 12*k**2 - 22*k + 19. Let y be w(10). Let x be y - 11\/(44\/(-24)). Suppose -3*d + 62 = -x*r, -4*d - 5*r = -5*d + 34. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*2\/(-4)*-8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose o = 4*u + p + 1, -u - 3*o = -5. Let a(c) = -11*c**3 - c**2. What is the tens digit of a(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26611237 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8\/11*t**3 - 80\/11*t + 318\/11*t**2 = 0. What is t?\nAnswer: -40, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -4. Let m = -12 + 7. Let a = 4.9 + m. What is the nearest to a in -0.3, 2\/9, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -72, -229, -532, -1029, -1768?\n\"Answer: -8*r**3 - r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 + 2) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r. Let c be 8\/1 + 3*(-1)\/(-3). Let s(f) = -f. Let j(a) = -18*a. Let v(n) = -j(n) + s(n). Let u(y) = c*q(y) + 2*v(y). Let i(g) = 2*g. Give u(i(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.74?\nAnswer: -0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1407, 2760, 4045, 5262?\nAnswer: 6411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 63. Let n = -53 + d. Solve -3*y = -5*s - n - 3, 3*y = -3*s - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -71, 10?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 146, 149, 160, 185, 230, 301, 404, 545?\n\"Answer: b**3 - 2*b**2 + 2*b + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 43. Calculate the smallest common multiple of 8 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12)\/(w**20\/w))\/(w*w**(-1\/12)*w\/(w*w*w*w\/w**(-3\/4))))**12 assuming w is positive.\nAnswer: w**(-338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42442027, -84884058, -127326093, -169768132, -212210175, -254652222?\nAnswer: -297094273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) -4\/3 (c) -0.08 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -3*s - 10*s. What is the highest common factor of 477 and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 - -122.3. Let h = -178.6 + k. What is h rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*p + 30 = 0, 0 = -4*m + 41*p - 44*p - 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 12. Calculate the remainder when 28 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 31 = 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1*(-12)\/(-12). Let i(t) = 3 - 2*t + 2 + 3*t. Is i(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 - 3804*m**2 + 213*m - 10514314 wrt m?\nAnswer: -6*m**2 - 7608*m + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -457\/11? (a) -6.4 (b) 0 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 90 = -18. Let q = 10 - g. Let f(p) be the first derivative of -7*p**2\/2 + p - 4. Determine f(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -4*m + m. Let z = m - -43. Let g(n) = -z*n + 7*n**2 - 2*n**2 - 4*n**2 + 4. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -914279088 minus -2.45?\nAnswer: -914279085.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 5\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5657.\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*f + 61 - 5900 = 505*f + 1703 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 48*r**2. Let d(z) = -2*z**2. Determine d(k(j)).\nAnswer: -4608*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:16 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 132\/(-77) + 13. What is the nearest to -1 in -3\/8, 0.06, u, 2\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/36 and 58\/513.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 821919616 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -431, -440, -477, -554, -683, -876, -1145?\n\"Answer: -2*q**3 - 2*q**2 + 11*q - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1039 (b) 4 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119837551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 6.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1207 + 1207 + 33*p)*(2*p**3 + 0*p**3 - p**3) + (-p + 2*p + p)*(2*p**3 - 4 + 4) - p**4 - 3*p**4 + 5*p**4 + 0*p**3 + 2*p**4 + 0*p**3.\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 264 and 265 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*c + 4*c = -60, -2*c + 68 = 4*a. Suppose -d - 4*y + 6 = 10, 5*d = y + 1. Solve 5 + d = 5*i, -3*o + a = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3440*p - 1795*p - 1760*p + ((-2 + 0 + 1)*(-5 + 2 + 5) - 4 + 5 + 6)*(0*p + p - 5*p).\nAnswer: -135*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12ad - 5b?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let w(v) = v + 193. What is y(w(x))?\nAnswer: -x - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x*y**4 + 10*x*y**2 - 166*x - 3144*y**5 + 3*y wrt y?\nAnswer: -24*x*y - 188640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3191\/5 (c) -3 (d) 0 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3\/8 (b) 0.06 (c) -1\/4 (d) 0.4 (e) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/2 - 6\/12) + -5. Let n(w) be the second derivative of w**5\/20 + w**4\/4 - 2*w**2 + 31*w. Give n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5976043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -21. Let k(c) = c + 8. Let x be k(-6). Suppose 0 = x*h + 4*y - 40, -3*h + 2*y + 34 = -10. Calculate the lowest common multiple of h and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102625692, 102625694, 102625696, 102625698?\nAnswer: 102625700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172252 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2153658 - 2153659 + 4307317 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.04703 times -0.01131\nAnswer: 0.0005319093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 - 4*q - 6. Let t = 7 - 11. List the prime factors of l(t).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 1 - 1 + (10*b - 63 + 63)*(2*b**2 + 3*b**2 + b**2) to g + s*b**3 + y*b**2 + l*b and give s.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1930\/10200 - (-249)\/(-1660)) + (-205)\/1326\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:53 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 186987533 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20 + -20 + 0\/1. Let b(r) be the second derivative of 5\/6*r**3 - 1\/6*r**6 - 1\/4*r**5 - 3*r + 5\/12*r**4 + 0*r**2 + j. Determine v, given that b(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)\/((-1)\/2). Let m = -17327\/1092 + 374\/21. Let q = m - 22\/13. Which is the nearest to q? (a) -1\/9 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28940 less than -17640399?\nAnswer: -17669339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 586562.6 milligrams in grams?\nAnswer: 586.5626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-15)\/30)\/((-23)\/322))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.459 + 125.\nAnswer: 125.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 107?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 - 1200*k**4 - 43855*k**3 + 1687960*k**2 - 7344540*k - 58890160 = 0. Calculate k.\nAnswer: -181, -83, -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 279551?\nAnswer: 18\/279551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 620*c**2 - c + 32500*c**2.\nAnswer: 33120*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from lbbvbbvbbkbkbblpblv.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:12 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2. Let w be 2\/(-5) + 6\/15. Suppose 4*a + w = 8. Let u(m) = -2*m**2 + 3*m**a + 0*m + 0*m. Calculate u(c(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y**3 - y**2 + y - 1. Suppose -9*d + 8 = -1. Let s be d\/((2 - 6) + 5). Is 2 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.574 + -0.126. Let b = 322.7 + -339. Let q = b - u. Round q to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15045 (base 9) to base 2\nAnswer: -10100000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000772417 to 7 decimal places.\nAnswer: -0.0000772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -2, 2\/17, 0.4 in descending order.\nAnswer: 0.4, 2\/17, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d*d)**(-6\/11)*(d**(2\/3))**(-1\/18) assuming d is positive.\nAnswer: d**(-497\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*f - 322. Suppose f = 3*z + 2*x, -4*z - x = 3*x - 100. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*r - 609, 2*q - r = -207 - 37. Let g be 1\/(-4) - (q\/4)\/(-11). Let v = 2 - g. Solve 5*d = -0 + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**(-36)\/(j*j**(-1)*j*j*j*j)**36 assuming j is positive.\nAnswer: j**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 36 + 12 - (-4 + 27).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3305 + 13283\/4. What is the common denominator of z and 4\/39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16058357.\nAnswer: 7, 2294051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146625 and 1625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/13074 and 39\/17432?\nAnswer: 52296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83753 + 1330951 = 23*v. What are the prime factors of v?\nAnswer: 2, 19, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 1534 + (-11)\/1 + 36 + -26. Calculate the greatest common factor of o and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6369 + -6371. Let a = -2.89 - 0.11. Sort a, i, -1.\nAnswer: a, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 14 = -26. Let u be ((6\/56)\/(-1))\/(1\/l). Which is the second biggest value? (a) u (b) -0.5 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -6*x**4 - 3*x**4 + 8*x**2 + 5*x**4 - 4*x**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 a factor of 24744881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 86*m + 5. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 2*f - 6. Let b be k(-4). Find the third derivative of -6*j**b - 12*j**3 - 5*j**3 + 18*j**3 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4385\/4)\/((-3)\/(-12)). Suppose 4380 = -4*m - 4*p, -4*m - p = 2*p + c. What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.87, 2\/17, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2996 + 3309. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*d + 3, -3 + 0 = p - 3*d. Suppose -9*q + 3*q + 348 = p. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53 - -206.2367.\nAnswer: 205.7067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 1199 = 706. Let i = -127 - y. Let q(m) = -m - 13. Give q(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 16897270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 12*b + 8. Solve 0*y + b*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.5117*24.6\nAnswer: -37.18782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkllkkkklllllkkkflkl. Give prob of sequence lfl.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4360909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) 38 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 81, 101, 129, 165, 209, 261?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + (sqrt(11) - sqrt(66)\/sqrt(6)) + sqrt(11) + -5 + sqrt(99) + (-5*sqrt(396)*-2 - sqrt(396)) + -1.\nAnswer: -7 + 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 - 1 - 44*d + 24*d - 2*d**2 + 24*d. Suppose -1 = s + 2. What is the units digit of u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992377389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*i, 0 = -3*s + 2*s + 2*i. Let v = 0 + s. Let j = 129 + -643\/5. Which is the closest to 1? (a) -3 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f. Let g be (-1)\/4 - 30\/8. What is the remainder when 519\/12 + 1\/g is divided by p(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 369 + 346. Suppose -2*l = -9 - w. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -14. What is the third derivative of 3*g**2 + 14*g + 7*g**6 - o*g wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155006?\nAnswer: 2, 17, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260 - -305. Calculate the smallest common multiple of i and -9*4\/(-12)*1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 + 4*k**2 + 13*k - 13. Let j be x(-7). Calculate the greatest common factor of j and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**2\/2 + 9. Let u(l) be the first derivative of -5*l**3\/3 + 4. Give u(x(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1010001111?\nAnswer: 1010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {z: 1, c: 1, t: 2, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**7\/6 - b**4\/12 + 5*b. What is the third derivative of u(r) wrt r?\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -193*u**2\/2 + 6*u - 174. Let r be k(4). Round r to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -2.0567635.\nAnswer: -2.2567635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5838600, 11677200, 17515800, 23354400, 29193000?\n\"Answer: 5838600*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rklrklrkllr. Give prob of sequence kr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -11 - -6 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/11 + 569524*q\/11 + 569526\/11 = 0?\nAnswer: -1, 284763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -8*c + 3*c**2 + 5*c**3 - c**2 - 18313*c**4 + 18314*c**4 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-2)\/sqrt(7) - (1 + sqrt(637)) - (0 + sqrt(1872) - sqrt(1872))**2.\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11304 and 2355?\nAnswer: 56520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 2 x when four letters picked without replacement from vzuvvvxzvuvvsvxvzvvv?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by -494?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(-25*y + 56*y - 28*y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(0 + 5 - 9 + 3)*(46*v + 499 - 499).\nAnswer: -138*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-15))\/((-4)\/(-558)). Let g = n + -79. Calculate the highest common divisor of 126 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 698*p - 898 wrt p?\nAnswer: 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g + 1880 = 50. Suppose 0 = 3*v + 3*n - 4*n - 783, -4*v - 4*n = -1028. Calculate the highest common divisor of v and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -55. Sort 1, r, -0.09, 0.1 in ascending order.\nAnswer: r, -0.09, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5\/7 - 800404*c**4\/7 + 800400*c**3\/7 = 0.\nAnswer: 0, 1, 200100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149\/5 + -29. Let h = -2.9 + 3. Let b = 43\/4 + -465\/44. What is the nearest to h in -4, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41 and 451.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2*s = -y - 0*s + 431 - 715, -2*y = -2*s + 142 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, s: 4, y: 1}. What is prob of sequence ggs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + -17 + 11 + -4 + 6 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 + -13 + 2585\/(-47)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/((-30)\/(-140)*4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9252 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.04.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -26?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let g be 1\/(-2) - -3*(-5)\/(-10). Let f(w) = -2*w - 7*w + 10*w - 5*w. Calculate g*f(m) + 2*d(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689336.\nAnswer: 2, 199, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.05. Let j = -0.05 - k. Let s be 0\/(-2) - 4\/(-3). Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-2)\/(-9)) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8 - -0.8. Let n be -1 + 2 - 663\/903. Let p = -7\/43 - n. Which is the closest to -2\/3? (a) p (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -765, -1567, -2365, -3159, -3949, -4735?\n\"Answer: 2*n**2 - 808*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*r - 505*r + 8*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*m + 389*m + 254*m - 26490 = -366*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1713 + 89*z**2 + 1730 + 53*z**2 to f*z + r*z**2 + v and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**2 + 8. Let c(u) = -7*u**2. Determine c(s(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6120 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.42768 millilitres in litres?\nAnswer: 0.03642768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 - -429. List the prime factors of a.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1605\/(-428) + (-31)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5498, -11954, -18412, -24872?\n\"Answer: -o**2 - 6453*o + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1913, -1912, -1911, -1910, -1909?\nAnswer: -1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 22 = -2*k - 49 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 1149832141?\nAnswer: 1149832140.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10389, 10390, 10389, 10386, 10381?\n\"Answer: -v**2 + 4*v + 10386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 4365.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 5 - 25*n as v*n + j and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g**2. Let o(x) = -182*x. Determine n(o(k)).\nAnswer: -198744*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16422 divided by 22.\nAnswer: -8211\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ullu when four letters picked without replacement from lllu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Let y be (-10)\/(-35) + t\/7. Let o be (0 - 1)\/2*y. Is 1 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -5. Let u be 1 - 14800000 - 3\/f. Round u to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 776832*z + 37716747264 = 0.\nAnswer: 97104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 0*n**3 + 2*n**3 + (15*n**2 - 62*n**2 + 31*n**2)*(-3*n + 34 - 34) in the form o + k*n**2 + s*n + v*n**3 and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417 divided by 139.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 + -293762?\nAnswer: -292232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1926.828 + 1933. What is w rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 329657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 365, -1 in decreasing order.\nAnswer: 365, 24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 14 = 10. Differentiate -f + 13 - 2*l + 4*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 346*m - 352*m - 8 + 15.\nAnswer: -6*m - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(6\/11)\/s)\/(s*s\/((s*s**(-8)*s*s*s*s*s)\/s*s)*s))\/(s**0)**0)**(1\/4) assuming s is positive.\nAnswer: s**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11199 - -0.3?\nAnswer: 0.41199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/4*-5*2\/(-25)*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127584162.\nAnswer: 2, 3, 7088009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**3\/3 - z**2\/2 - 5*z. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63880031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3\/6 - u**2 + 2*u. Let s be x(7). Let z be ((-4 - -4) + 0)*2\/2. Sort -4, z, s in increasing order.\nAnswer: -4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(150\/21)*(-10)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 2*j + 70 - 2*j**3 - 64 - 6*j**2.\nAnswer: -2*(j - 1)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 179. Let c be (-19 - x)\/(-1*4 + 2). Sort -1, c, 2, 1 in decreasing order.\nAnswer: 2, 1, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 19 - 14 - (7 + -25)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1.57\nAnswer: -0.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -36.\nAnswer: -19\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3247.4 rounded to the nearest 10?\nAnswer: -3250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*a + 78 = 0, -3*a + a = 2*l - 146. Let r = l - 50. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 67988?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -42. Let g be 54\/(-418) + 24\/11 + z. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - (-549)\/(-84). Which is greater: -5 or u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x + 18. Does 22 divide l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49311.\nAnswer: 3, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 1 - -5 - 8. Suppose 4*a - 40 = -4*s, 0 = 3*a - 5*s + d*s - 38. Solve -4*m - 18 = -5*g, 0*m = -3*m + 3*g - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 59*d + 28. What is a(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -2\/29, -0.3, -149, 4 in descending order.\nAnswer: 4, 1, -2\/29, -0.3, -0.5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -11222313240?\nAnswer: -11222313232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-84) - 260\/(-91). Let t = 0 + 0. Find the third derivative of t*n**3 + 6*n**2 - 4*n**j + 4*n**3 - 4*n**3 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1616*s - 1621*s - 4*u - 12 = 0, 6*u = 2*s - 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*f**5 - 7*f**4 + 438*f**3 + 4593*f - 33458 wrt f.\nAnswer: 780*f**3 - 84*f**2 + 2628*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - 2*w)*(-1 + 0 + 4)*(-w**2 - 3*w**2 + 2*w**2).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5 + 3*u**4 - 15*u**3 - 15*u**2 + 12*u + 12 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.29*1.5\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2411 (base 14) to base 2\nAnswer: 1100010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40060 - 3605251\/90. What is the common denominator of w and 20\/81?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 4*k + 1. Let x(r) = 35*r**2 - 23*r - 7. Let d(s) = 34*g(s) + 6*x(s). Let w be d(-2). Let o = w + -20. Let q(i) = -i + 2. Give q(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 6 - 8*b + 9 in the form d*b + c and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101 (base 2) in base 15?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-8 + 4)*1. Let f(u) = 34*u**3 - 57*u. Let s(t) = -137*t**3 + 228*t. Let r(n) = v*s(n) - 9*f(n). Find the second derivative of r(c) wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3024 and 63444528?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 16*p - 11. Let g be u(-11). Let k = 85 - g. Let v = -31 + k. Calculate the greatest common divisor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 35 (b) -0.2 (c) 1\/2 (d) -4 (e) -1 (f) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.2, 1.9, 34\/13.\nAnswer: -0.7, -0.2, 1.9, 34\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91240 is divided by 1317.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3372 is divided by 151.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 7*p + d, 925*d + 4 + 12 = 4*p + 926*d - 23 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j**(-3))\/(j*j\/(j*(j\/(j*j*(j*j*j\/j**(-1\/2)*j*j)\/j))\/j))**(-14\/5))\/((j**0)**(16\/9))**(1\/2) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232.364 - 232. Round z to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -444656?\nAnswer: -444655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4 + 36*u**3 + 184*u**2 + 348*u + 198 = 0.\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 + 303976*r**3 + 5775088036*r**2 = 0. What is r?\nAnswer: -37997, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 11. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5258.944 centuries?\nAnswer: 525894.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 9:01 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2365143 and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 14*t**2 - 159*t - 6. Let a be z(7). Suppose -2*y + 5*d + a = 0, -11*y + 2*d = -13*y + 596. What is the remainder when y is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11271855*v - 8862817.\nAnswer: 11271855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20330 divided by 95\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -35\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*t + 1237 + 1319 + 4152 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201 + -653?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35a (base 11) in base 12?\nAnswer: -2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(-3 + 4*(-5*(sqrt(500) + -2) + sqrt(500) - sqrt(500))))**2.\nAnswer: -8524800*sqrt(5) + 115988544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/5 - 4*d**2\/5 + 17*d\/5 + 12 = 0.\nAnswer: -5, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.71074 from -0.029.\nAnswer: 3.68174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 8:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -91485.\nAnswer: -45742.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -78, -346, -802, -1446, -2278, -3298?\n\"Answer: -94*p**2 + 14*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:56 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3210 - -3670. What is the greatest common factor of 80 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 1402*p - 59197. Give q(-41).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56748 is divided by 14150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7950, 7939, 7918, 7881, 7822, 7735, 7614?\nAnswer: 7453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*b + 4 = -111*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2268\/42)\/27)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*z - l + 6*l, -z - 3*l - 10 = 0. Find the first derivative of 0 - 21*m**2 + 3*m**z - 4*m + 2 - 12 wrt m.\nAnswer: -36*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -4, -726?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -1. Let z(v) = 3*v - 3. Let h(t) = -10*t + 10. Let p(i) = 2*h(i) + 7*z(i). Let w(y) = 2*y**2 + y. What is x*w(s) - p(s)?\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13*4\/12 - (1144\/(-33))\/26\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = -2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/2878689 at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1916 and -513.\nAnswer: -513.1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 7*v - 10*v - 614, -450 = -3*f - 3*v. Suppose -f = 16*y - 872. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1539\/7 + -219. Let s = 1.9 + -2. What is the third smallest value in s, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 - n - 3*n + 5*n + 4. Calculate q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -426, -409, -394, -381?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:51 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -25*y**7\/14 + 28*y**3 + 27*y. Find the second derivative of z(t) wrt t.\nAnswer: -1500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)\/n**(-2\/65))\/((n*n**(1\/10))\/(n*n**(1\/11)\/n)) assuming n is positive.\nAnswer: n**(-17129\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -23*p**6\/120 + p**4\/8 - 16*p**2. Find the second derivative of z(i) wrt i.\nAnswer: -138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/14)\/((-320)\/(-224)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n. Let a be o(3). Let i = a - -32. Calculate the remainder when ((-2)\/4)\/((-2)\/128) is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 96*f - 91. Let z be w(47). Solve 4*i = z*m - 17, -7*m + 4*m - 1 = 5*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22622909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 19629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:07 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i + 10552 = 10586 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*3*76\/(-1596).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795456?\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + y = 59, -192*y + 194*y = -4*c - 74 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -24577628\nAnswer: 5\/24577628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/(r\/(r*r**(-2\/15)*r)) assuming r is positive.\nAnswer: r**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*j - 8 - 7 = 0, 15 = 3*m - 5*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026640 to the power of 1\/2, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*n + 100 + 10, 0 = -n - g + 22. Let x be (1 - -1)\/(11\/n). Let m(t) = t**3 - 4*t**2 + 6*t - 3. Let u be m(4). Solve 5*i - x = u, -z - i = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141413 is divided by 35352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 305 + -294 - ((-2)\/1 + 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -16. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 1, x: 1, n: 9}. Give prob of picking 1 o, 1 n, and 2 c.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 105*w - 3. What is the units digit of v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Let s be k(5). Suppose 0 = -s*b + 25 - 157. Let h = 38 + b. Solve -4*j + 4*g - 6*g - 10 = 0, -g = -j + h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -25.899644 - 43838?\nAnswer: -43863.899644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329*l**3 + 149*l**3 + 52*l**3)*(-1 + 1 - 3).\nAnswer: -1590*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 18 = 5*y. Sort 3, -63, 5, y in ascending order.\nAnswer: -63, 3, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97918, 195833, 293752, 391675, 489602?\nAnswer: 587533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 1. Let o(r) be the second derivative of -r**3\/6 - r**2\/2 + 1236*r + 1. Let z = 7 - 8. Determine z*o(l) + s(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4*o**2 + 1560*o + 13621. Calculate d(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/13 - (-1684152)\/351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160461 and 17010.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 4*u + 24, -4*u = -3*y + 14. Suppose -y*a - 14 + 2 = 0. Let m(n) = 2*n**2 + 7*n + 3. List the prime factors of m(a).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 5. Let n be 15\/i + 8\/16. Suppose 0 = 5*p - g - 2*g, 5*p = g. Solve 3 = -p*d + n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7*((-917)\/4716)\/(8\/(-18))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 3*u**2 + u. Suppose -5*s - 115 = -95. Let n = s - -2. What is y(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 32*d. Let w(b) = b**2 - b + 2. Determine g(f) + w(f).\nAnswer: 3*f**2 + 31*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -45 + 17. Let r(o) = -w + 7 + 7 - o. Let n be r(5). Solve 3*u = 2*z - 14, n*u + 3*z + 5 = -0*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -3*k - 0*d, -3*k - d + 22 = 0. Let f = -2 + 4. Solve k*o - 10 = f*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/139496 and -1\/6580.\nAnswer: 697480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69624 and -56.75996.\nAnswer: -69680.75996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 7 (c) -2\/1021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s - 378. Let z be g(27). Solve i = -3*x + x - 4, 2*i - 2*x - 16 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-441)\/(-291) - 3 - 9\/(-6). Let i = -2397\/4462 + k. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3493*r - 281*r**3 - 48*r**3 - 3493*r.\nAnswer: -329*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 14. Let j = -2061048 - -2061017.99958. Let z = o - j. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 7, u: 4, a: 1, m: 1}. Give prob of sequence amu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 13330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -9964.\nAnswer: -3\/4982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.109 - -46. Round y to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 155 = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -576, -764?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1040120 from -17084153.\nAnswer: -18124273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 346, -2990?\nAnswer: -2990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - l - 242. Let s(t) = -6*t**2 - 2*t - 464. Calculate -5*b(y) + 2*s(y).\nAnswer: -2*y**2 + y + 282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346447041.\nAnswer: 3, 7, 109, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 1. Let b(w) = -w**3 + 3 - 2 - 4*w**2 - 3*w**2 - 2. Let p be b(-7). What is s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, -6, -132824, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/91 and -6\/5243.\nAnswer: 68159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + (-328 - -86) + 82?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, v: 3, m: 4, s: 1, u: 3, o: 1}. What is prob of sequence vvv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/330 + 2*s**4\/11 - 4*s**3\/3 + 790*s**2. Factor g(k).\nAnswer: -2*(k - 22)*(k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i - 1. Give d(-34).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {q: 1, b: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 3*v + 6. Let s(b) = 2*b**2 - 4*b - 7. Give 6*n(y) + 5*s(y).\nAnswer: -2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:18 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/725 - 14041\/2900. Calculate the common denominator of (62\/(-9)*3)\/(-4) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*2*6\/(-5). Suppose -4*i + t = -i. What is the common denominator of (-225)\/12 + 1\/i and 23\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15092, -14957, -14592, -13883, -12716, -10977?\n\"Answer: 19*b**3 + b**2 - b - 15111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 605, 1212, 1821, 2432?\n\"Answer: d**2 + 604*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -24. Suppose o = 6*r - r + 18, -p*o = -3*r - 21. Is (86 - o)\/(2\/22) 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 {i: 2, e: 1, a: 1, h: 2}. Give prob of picking 1 i and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.9 + 2.9. Let x = f - 9.8. Let c = -5 + 4.6. Sort c, x, -1\/3.\nAnswer: c, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 58 = 2. Put 3, -5, 5, j in descending order.\nAnswer: 5, 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 3. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 50 + 315. Let g = 15 - 10. Suppose 34 = g*r - 61. Calculate the remainder when c is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/9 - 24056*h\/3 + 2205658 = 0.\nAnswer: -36357, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, r: 1, j: 4, b: 3}. What is prob of picking 2 n and 1 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/4*q**4 + 5\/2*q**2 - 1\/2*q**3 + 1\/20*q**5 + 0 - 4*q. Let v be a(-4). Solve 2*m = 2*n - 14, 4*m - v + 5 = -2*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1746846\nAnswer: -1\/1746846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(57\/36 - 84\/36)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 15, x: 4}. What is prob of sequence xjxx?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 613357 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2646*o**2. Let l(f) = -6466*f. Give t(l(b)).\nAnswer: 110627026776*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3175 + 3175 + 588*x**3.\nAnswer: 588*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -12, -2, -5, 5, -144 in increasing order.\nAnswer: -144, -12, -5, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147917 is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -4 = -n*w + 4. Solve -3*u + 8 + w = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11045, -41894, -92549, -163010, -253277, -363350, -493229?\nAnswer: -642914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 20*d - 10*d + d - 5*d - 8*d - 29 to c*d + x + v*d**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 7*l**3 - 11*l**3 - l**3.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -16*x**5 + 4*x**4 + 64*x**3 - 16*x**2 = 0.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/33 + (-5541)\/(-9). Let y = g - 358. Suppose 0 = 5*m - 958 - y. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 79 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595\/(-850)*(-8580)\/273.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -141, -139, -113, -63?\n\"Answer: 12*t**2 - 34*t - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.1 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 17. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) - 4\/(40\/(-114)). Let q(a) = -7 + 15*a**3 + 10 - 16*a**3 - d*a + 10*a**2. Calculate q(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 36 + 3*q**3 + 7\/2*q**2 - 2*q. Factor l(o).\nAnswer: (o + 1)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/133426 or -1?\nAnswer: 3\/133426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 - 5 - (17 - 24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 17. Suppose 84 = 4*w - 2*i, b = 2*w - 3*w + 2*i + 15. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1141 + 1006.4. Let i = 143 + q. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**3 - 5*i**2 + 2*i + 1. Let c(g) = -13*g**3 + 5*g**2 + 2*g**2 - 17 - 3*g + 16. What is -5*c(z) - 7*f(z)?\nAnswer: 2*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + 40051166?\nAnswer: 40051114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-17\/6)*k**9*k)\/((k\/((k*k**(3\/28))\/k*k))\/k**(-23)) assuming k is positive.\nAnswer: k**(-1237\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 10 + 1)*(-2*r - 1 + 1)*(-5*r - 2*r + r) + (0*r - 2*r + r)*(0*r + r - 2*r) to j*r + o + i*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -10*m + 504. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g**3 - 13*g**2 + 32*g - 16. Let t be r(3). What is the highest common divisor of t and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 43. Let g = 4 + q. Let v(y) = 58*y - 55. Let k be v(1). Solve -4*c = -g*c - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 0*n**3 + 6*n + 11 - 13 to s*n**3 + c + a*n**2 + p*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7844.649 microseconds?\nAnswer: 0.007844649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o - 26895 = 32*o. What is the remainder when o is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/4 (b) -0.3 (c) 97 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -345.07 - -346. Is v bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*y = 27, 3*n - 48 = -5*y - 179. Let i = n - -104. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.846 (b) 0.081 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6222940, 6222941, 6222942?\n\"Answer: k + 6222939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = -n, 0*n - 1 = 4*n - 3*j. Suppose 0 = -n*p + 109 + 19. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 6410?\nAnswer: -6394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(-21\/5))\/b)\/b*b)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 5*m**2 + 17*m - 2*m**2.\nAnswer: -2*m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and 25\/399?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o = -51*o + 3*f - 4, 2*f = 0. Sort 3, o, 5, 6.\nAnswer: o, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*u + 6*u**3 - 35*u**2 + 38*u**2 - 7*u**3 - u**4 to the form k*u + b*u**3 + r + v*u**2 + q*u**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1958 + -759. What are the prime factors of w?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 34*t**2\/9 - 8*t\/3.\nAnswer: t*(t + 12)*(3*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 594280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*c*w*y - 2907387*c*w + 4064*w*y + 4*y wrt y?\nAnswer: -37*c*w + 4064*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from ioiiooivvo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 11. Suppose 4 = 4*x - 16. Let h be k(x). What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 + 4 - (5 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 982381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 13, 168 in descending order.\nAnswer: 168, 13, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 77. What are the prime factors of n*-1*1\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.07 + 176.93. Let b = d - 140.2. Let u = 35 - b. Round u to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392.58 + -392.57961559. Round z to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/29 (b) -3 (c) -1 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 111.7. Sort 3, v, 2\/3, -1.3.\nAnswer: -1.3, v, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 68696.85 micrometers?\nAnswer: 0.00006869685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4939, -42045, -142749, -338851, -662151?\n\"Answer: -5300*a**3 + a**2 - 9*a + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*s*z**3 - 7*s*z**2 + 328*s + 42*z**3 wrt z?\nAnswer: 1380*s + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 31 - 20)*(n + n - n).\nAnswer: -75*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-22)*(-4)\/3. Let g = 78 - m. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/16258816 and 113\/12384?\nAnswer: 146329344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 248905211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/116 and -45\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -342, -720, -1226, -1854?\nAnswer: -2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k - 5. Suppose 17 = 6*y - 31. Let z be g(y). Round z to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18085, 4, -11 in descending order.\nAnswer: 18085, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -4. Let m = s + -9. Let y = -8 + 6. Which is the closest to -2\/7? (a) y (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 14290 in ascending order.\nAnswer: 2, 3, 14290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(2)*-3)**2 + 1*sqrt(2)*5)*3.\nAnswer: -162 - 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 7*g**2 - 4*g - 3. Suppose 11*b - 21*b = -60. Give y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 8*s - 16. Suppose -o + 4*o = 15. Let m be y(o). Suppose 3*q - 4*q + 5*d + m = 0, -5*q + d + 250 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 1\/5 (b) 111 (c) 3\/7 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/20771087 and 107\/1342476?\nAnswer: 747759132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -2.1291.\nAnswer: -2.4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h + 0*h + h**2. Suppose 5*x + 62 = p + 187, 4*x - 5*p - 121 = 0. Let q(r) = 26*r - 4 - x*r + 4. What is q(u(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.2, -2\/7, 2, 10\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 2 i when four letters picked without replacement from {r: 3, f: 4, i: 2, b: 3, l: 2, u: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 116431?\nAnswer: -116421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -472977827 rounded to the nearest one million?\nAnswer: -473000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 + y + 5. Calculate r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262 - -266. Suppose 3*v - 1389 = 3*r + 9831, k*r - 3*v + 14960 = 0. Round r to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4313884?\nAnswer: 2, 1078471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 + 3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*d**2 + 226*d**2 + 208*d**2)*(0*d + d + 5*d).\nAnswer: 2820*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.1, -0.4, 4, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/((-912)\/544)*1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9253563g to kilograms.\nAnswer: 0.0009253563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18 and -11.2801.\nAnswer: -2.030418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 42576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333773 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48851 is divided by 9766.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*w - 122*w = 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4103 divided by 4103.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1091, -4349, -9779, -17381, -27155?\nAnswer: -39101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97215 is divided by 448.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11978, 12004, 12030, 12056, 12082, 12108?\n\"Answer: 26*m + 11952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 7\/5, -48, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/4 + 65*w**3\/4 + 1383*w**2\/4 + 9135*w\/4 - 2646 = 0 for w.\nAnswer: -24, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5dda2b (base 16) to base 3.\nAnswer: -102120111011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Suppose -5*v + 3*v = -d. Solve v*n - 5*m - 17 = 0, -2*n = -2*m - 1 - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4915, -19705, -44361, -78883, -123271, -177525?\n\"Answer: -4933*a**2 + 9*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3587 + 3590. Let l = 0.2 - 0. Which is the second smallest value? (a) -2\/15 (b) j (c) 5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, j: 4}. What is prob of sequence yyy?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.058 + 0.142. What is the third biggest value in 9, -0.2, c, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8008 and 387464?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267469 and 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 15*a**2 + 42*a - 420. What is g(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -38. Suppose -u - 4 = -b. What is the least common multiple of 8 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -23?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 158327 divided by 1\nAnswer: 158327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1454 + -1443 + (2 - 31) + 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3802777?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-8 - 1 - -3) + 1 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 64900 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 2*n**2 - n + 3*n. Let l be 70\/(-25) - (-8)\/10. Calculate t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/8 + 9\/56. Let i = -8.3 + 8. Which is the nearest to 0.1? (a) 5 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2192 + 2192. Let k(a) be the third derivative of 0*a**5 + o + 0*a + 0*a**6 + 0*a**4 + 1\/21*a**7 - 4*a**3 - 7*a**2. Differentiate k(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 + 374. Which is smaller: 6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 1669614*o**3 - 310617396*o**2 + 19259708520*o - 398048752416.\nAnswer: 3*(o - 62)**3*(o + 556724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 25*c - 110. Let i be h(-16). Solve 0 = -0*k - i*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -353698?\nAnswer: -707396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 25*c + 7)*(2*c**2 + 4*c**2 - 4*c**2) + 5*c**3 + 2*c**3 - 14*c**3 + 4*c**3 - 8*c**2 - 2*c**3 - 3*c + 7*c**2.\nAnswer: -55*c**3 - c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 4. Let u(z) = -2*z**3 + 2*z**2 + 6*z + 6. Let b(q) = -3*q**3 + 5*q**2 + 12*q + 11. Let n(w) = i*u(w) + 4*b(w). Factor n(k).\nAnswer: 2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -578 - -574. Which is the closest to -14? (a) -13 (b) 2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -141. Find the third derivative of -241 + 7*n**2 + 52*n**3 + 239 + z*n**2 - n**5 wrt n.\nAnswer: -60*n**2 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6480*u - 2*u**3 + 5969*u - 12449*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -246 + 61. Let x = 38 + w. Is 10\/9 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16399.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 - 1\/(-2)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 42. Let y(t) be the third derivative of 0 + 0*t + 1\/6*t**3 + x*t**2 - 1\/6*t**4. What is the first derivative of y(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-42))\/((-4)\/6*1). Which is the fourth biggest value? (a) 1\/6 (b) 4 (c) w (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**4 - n**3 - n. Let l(s) = 71*s**5 - 3*s**4 - 3*s**3 + 20*s - 2. Let h(r) = -l(r) + 3*v(r). Find the second derivative of h(o) wrt o.\nAnswer: -1420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 246\/(-54))\/((-2)\/3). Let j = 0 - -0.1. Let d = 0.02 + -5.02. Which is the nearest to -1? (a) z (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 14. Let m be k(4). Let r be 8\/(-3)*9\/m. Suppose -66 = -5*p - 6. Solve -a = -r*a + p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/872 and 23\/436.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/893)\/((-187)\/358853)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 26 + 34. Suppose -d*w + 121 = 41. Suppose j - w*j = -511. List the prime factors of j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/17 + 1168*s**4\/17 + 171692*s**3\/17 + 339888*s**2\/17 + 169362*s\/17.\nAnswer: 2*s*(s + 1)**2*(s + 291)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:13 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 7*m**2 - 8*m - 2. Let r be s(8). Let z(g) = g**2 + g - 7. Let j be z(-4). Calculate the smallest common multiple of 20 and 11\/(-2 - j\/r).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -21 - (33 - 23)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -26*k**3 - 62*k**2 + 102*k + 150. Let h(g) = -2*g**3 - g**2 - g - 1. Let s(z) = 12*h(z) - x(z). Factor s(n).\nAnswer: 2*(n - 3)*(n + 1)*(n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2539075 divided by 6595\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/65 or 1?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*f - 4*f + 7 = 0, -i - 3*f + 15 = 0. Let w(o) = o**3 - 4*o**2 + 2*o + 1. Determine w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10094 - -3?\nAnswer: 10097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 3931414?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 43*y - 243. What is the remainder when 148 is divided by v(-49)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -105.3, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014137383 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -30, -174, 5, -4, 19 in increasing order.\nAnswer: -174, -30, -4, 5, 19, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0 + 156*l**2 + 0*l - 209\/24*l**4 - 5\/3*l**3. What is the first derivative of v(s) wrt s?\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8295 (base 10) in base 5?\nAnswer: -231140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18b1 (base 14) to base 11\nAnswer: 33a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034453309458 to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47300.666 days to weeks.\nAnswer: 6757.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 5*d - 5*k, 2*k = -5*d - k + 311. Let c = d + -45. Suppose 127 = 3*p - 62. What is the remainder when p is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15261 + -15265. Let l(y) = -13*y - 37. Determine l(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1451\/21 - 4\/42. What is the common denominator of 56\/27 and (-2)\/(-45)*(h\/3 + -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61401167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.3, 3\/14, -5\/4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 2*sqrt(128))\/sqrt(8) + sqrt(16))\/((sqrt(128)\/sqrt(4))\/sqrt(4))*-3.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560 - 560.0866. Let u = s + 0.104. Round u to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-273768)\/427)\/(-66))\/4\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, j: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9003*w - 19137 = -19137 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4430488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34 + 0.96. Let a = -0.39 - y. Round a to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:31 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -25. Put a, 2, -5, 4 in decreasing order.\nAnswer: 4, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 31676723.9\nAnswer: -126706895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12149179 to the power of 1\/2, to the nearest integer?\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/23486499 and -76\/567.\nAnswer: 1479649437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 < 982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1247, -1207, -1153, -1085, -1003, -907, -797?\n\"Answer: 7*w**2 + 19*w - 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 - 31*s**3 - 13*s**3 - 8*s**3 + 68*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 7*i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -497 + 487.68. Let l = a + 10. Let i = l + -0.559. Round i to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57344.7 to the nearest 100.\nAnswer: 57300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (2 - (-4)\/(-2)). Suppose -2*o + i = -4. Solve -4*j**5 + j**2 - 1 - j**4 + 3*j**3 + j**2 + 3*j**5 - j**o - j = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55051, 747, 1 in descending order.\nAnswer: 747, 1, -55051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6758*d - 2527*d + 38597 - 368615 for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*f + 14*f**2 - 31*f to the form k*f + z + c*f**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c7427b8 + 2?\nAnswer: 2c7427ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30\/711103 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and -67\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 296930\/8372 - 3\/78.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*((-54)\/51)\/(1186\/(-40324))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1543, 48 in ascending order.\nAnswer: -1543, -26, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 4*p + 4. Let b(t) = 155*t + 623. Calculate the remainder when q(4) is divided by b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 19. Let z be 255\/34*o\/(-6). Let x be 5\/z - 14600002\/10. Round x to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437812706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Let h = -0.6 - -0.6. Suppose 15 = -61*v + 37*v + 87. Which is the smallest value? (a) n (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 132, 298, 530, 828, 1192?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -569 + 584. Solve -6*x + w = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68e (base 16) to base 8\nAnswer: -3216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4*x**2 - 4179*f**3*w**2 - 50*f**2*w**2*x**2 + f**2*w**2*x - 63*f**2*w - 2*w**2*x**2 wrt f.\nAnswer: -24*f*x**2 - 25074*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 greater than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 689175.7 litres?\nAnswer: 689175700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**8\/10080 + x**7\/2520 + x**6\/270 + x**3\/6 - x**2\/2 + 215*x. Let q(z) be the second derivative of v(z). Factor q(k).\nAnswer: -k**2*(k - 4)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -4?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 5808.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.49912 - -1.5. Round l to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1, -1283, -1, 68 in decreasing order.\nAnswer: 68, 1, 0, -1, -4, -1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 4. Give x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 34*q**2 - 21*q - 61. Let r(p) = 2*p**2 - 43*p + 16. Let i be r(21). List the prime factors of l(i).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 + 4*o - 54 + 101 in the form n + s*o and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 184 - -5?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/7 in 3\/2, -1, -245, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 15. Let z be (4\/2)\/(3\/u). Suppose -3*t + 0*t = 0, -4*t = z*x - 8. Solve 0 = x*l - 7*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893920 divided by -1510.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 12*f - 7. Let u be h(14). Solve u = 2*a - 3*y, 5*y + 13 = -5*a + a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667145 (base 9) in base 5?\nAnswer: 214232301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24689 + -16048. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24864704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2981.435 - -2982. Round w to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94\/3 + -32. Sort d, 3, 7 in descending order.\nAnswer: 7, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/14 and 133\/10410.\nAnswer: 72870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*u**2 + 0*u**2 - 2*u**3 - 103*u + 16*u + 106*u + 97*u to the form x + l*u + r*u**3 + k*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*d**2 + 4)*(58 + 32 + 111 + 5 - 4 + 1 + (2 + 1 - 5)*(6 - 4 - 4) - 4 + 2 + 3) to the form u*d + q*d**2 + h and give q.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/104)\/((-1)\/6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1360 + 3?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 8*r + 4. Let f be k(6). Suppose -4*d = -5*n - 236, -4*d = 4*n - 326 + 54. What is the greatest common factor of f and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 25978 + 39752. Suppose 0*h - 3*s + 939 = h, -5*h + 2*s = -w. What are the prime factors of h?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*g**2*p*q - 48*f**2*g*p*q + f**2*q + 2*f*g**2*p*q + f*g**2*q - 2*f*p - 5*g**2*q wrt f?\nAnswer: -2*g**2*p*q - 96*g*p*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2 - (-3)\/(-2)). Suppose -4*b - o + 165 = 52, -x*o - 98 = -4*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5288 to 2 decimal places.\nAnswer: -8.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -41*j + 2. Let a be w(-2). Suppose -6*g = -3*g - a. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 - 3*x**2 + 4*x**3 + 5*x**2 + x to a*x**3 + y + s*x + m*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331) + -2*(5 + sqrt(11)))**2.\nAnswer: -180*sqrt(11) + 991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 409 + -3289\/8. What is the common denominator of h and 59\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -682, -1142, -1608, -2080?\nAnswer: -2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 28*i - 12*i - 9*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 35826266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2471 + -2468. Suppose 28 = -4*k + k - 2*w, -5*k = -4*w + 54. Let j be -5*(2 - (-16)\/k). Put j, o, -4 in decreasing order.\nAnswer: o, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 + 8?\nAnswer: 3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y + 36. What are the prime factors of q(-14)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2 + 169959*q - 13419589.\nAnswer: 6*q + 169959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111011101000 (base 2) to base 7.\nAnswer: -442035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 + 3 = -3*v, 4 = -v. Let z = 6 - 18. Let o = c - z. Solve o*n - 9 - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/24*-70 + 102\/(-136). Let x be ((-2)\/(-3))\/(3 - 79\/27). Solve -5*h + x*h + p = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -52 (b) -1 (c) 1 (d) -326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/105? (a) 3 (b) 0.1 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28143 (base 10) to base 11\nAnswer: -1a165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*x - 15, -x - 8 = 2043*k - 2042*k for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 252002\/3*3\/2. Suppose 5*q - 62995 = -3*m + 4*m, 2*m + t = -q. What is m rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -894*y - 42015. Let z be c(-47). Factor 5\/2*t - 25\/6 + 3\/2*t**2 + 1\/6*t**z.\nAnswer: (t - 1)*(t + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -570852 by 6.\nAnswer: -95142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let j = -37\/3 - -404\/33. What is the nearest to -1 in 2\/17, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -23*x**6\/3 - x**5\/5 + 7930*x**3\/3 + 3852. What is the third derivative of z(f) wrt f?\nAnswer: -2760*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-592)\/(-80))*15\/6*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iippxxxpipxxx. What is prob of sequence pppx?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-142437.\nAnswer: 85462.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 3*u + 21 = 0, 4*u - 5 = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/51*(-1 + 76). Differentiate -112*w + 43 + 31 - o*w**2 + 23*w**2 + 261*w + 9 wrt w.\nAnswer: -4*w + 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2056902 and 1767.\nAnswer: 63763962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) 1\/3 (d) -11387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 59*j = -46*j - 186, 0 = -2*f + 2*j - 4*j + 30 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2 - (-9)\/(-5)). Let m(x) = x - o*x**3 - x + 4 - 4*x**2. Let h(c) be the first derivative of -7*c**4\/2 - 11*c**3\/3 + 11*c - 3. Give 4*h(a) - 11*m(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-6)\/(-12))\/1)\/((-1)\/(-6)). Let s = -78 + 70. Sort s, -1, t, -4 in increasing order.\nAnswer: s, -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 7)*(2*l**3 + 0*l**3 - 4*l**3) + (-4 + 4 + 5)*(l - l - 2*l)*(-l**2 - 2 + 2).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/40 - 43*m**4\/8 + 1849*m**3\/4 - 70*m**2. Solve t(v) = 0.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1*21\/27. Let x be 1\/2 - (-10)\/20. Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -20\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -76728642.3 - -0.273719\nAnswer: -76728642.026281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/24 - 5*r**4\/8 - 5*r**3\/3 - 13*r**2. Factor i(b).\nAnswer: 5*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 1, u: 2, a: 1, r: 1, b: 2}. Give prob of sequence bb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -181, -449, -835, -1345, -1985?\nAnswer: -2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 39*l + 211. Calculate j(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 - 229. What is the least common multiple of p and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 26 - -7) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5747 - 4?\nAnswer: -5751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-84))\/(3\/(-2)). Let x be (0 - 0)\/(-43 + 44). What is the closest to 0.3 in 3\/7, x, w, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(99) - (1 + sqrt(99) + sqrt(99) - sqrt(99)) - (-1 + sqrt(44)))**2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let k(d) = d**2 - 7*d + 5. Let q be k(6). Let n = -5\/32 + -3\/32. Which is the nearest to -1\/4? (a) s (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - q - 5. Let l be j(-8). What is the derivative of -3*i**2 - 5 + 2 - i**3 + l*i**2 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 12*y + h - 13 = 0, h = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -4, -5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*g - 5*q + 59, 0 = -3*q + 18. Let d be (0 - -3) + 0 + 1. Solve d*a = g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074721157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Let i = -14 + l. Let s = i + 22. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. What is the nearest to 0.2 in -3, -5, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(l + 3*l - 5*l)*(-1 + 5 - 3).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1052, 4514, 10388, 18674, 29372, 42482, 58004?\n\"Answer: 1206*a**2 - 156*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:15 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6440675 to the nearest integer?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2207078 and 53\/2651.\nAnswer: 24277858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211844 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 5*n**4\/24 + 2*n**2 - 90*n. Let p(f) = 7*f - 1. Calculate p(g(b)).\nAnswer: 35*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.4. Let t = 24308 + -24307.7. Which is the closest to t? (a) -2 (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27035 divided by 9258?\nAnswer: -27035\/9258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 1\/4, 4, 4\/7, 8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(2\/17)))\/t)\/(((t*t*t**8)\/t)\/t)*((t*t\/t**(-7))\/t)\/t*t**(-6))\/(((t*(t*t**1*t*t)\/t)\/t)**(-35))**(-40) assuming t is positive.\nAnswer: t**(-71538\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209622 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*a + 77, h - 5 = -4*a + 6. Suppose -19*q = -h*q + 3*w + 640, -3*q - 2*w = -480. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 13*q**2 - 11*q + 26. Give a(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*z**2 + 7*z - 140*z**2 - 2 + 7*z - 242*z**2 - 14*z.\nAnswer: -611*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030 (base 8) to base 5.\nAnswer: -4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010001101 (base 2) to base 9.\nAnswer: -7824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -349 - -358. Solve 5*h + b = -19, 2*h + 0*b + k = b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(44)\/(sqrt(4)*-2) - (sqrt(22)\/sqrt(2) + 1)) + -5.\nAnswer: -6*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 s when four letters picked without replacement from yyyyyyssyyy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 524656.5 decades?\nAnswer: 5246565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -38569.86?\nAnswer: -38569.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -2 + -4 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o**(3\/4)*o))))\/o**(-5))\/(o\/(o**(-4\/7)*o)*o*o\/(o*o**(2\/3))))**(-34\/3) assuming o is positive.\nAnswer: o**(-4777\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**3*u + r**3 - 202*r**2*u**2 - 8*r**2 + 6*r + u with respect to u.\nAnswer: -2*r**3 - 404*r**2*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1197 by -5142.\nAnswer: -399\/1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7235264 and 4512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = -c + 195, -5*j + 47 - 12 = -j + 3*c - 25 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 6. Let n(w) = -w**3 - 6*w**2 - 4*w - 23. Let s be n(-6). Let z(q) = q + 5. Let u be z(0). Put r, s, u in descending order.\nAnswer: u, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -85*y**3 + 16*y**2 + 8*y - 62. Let q(a) = -58*a**3 + 10*a**2 + 5*a - 42. Calculate -8*q(b) + 5*u(b).\nAnswer: 39*b**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -22, -6, -27.\nAnswer: -27, -22, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b - 28. Give f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, u: 1, h: 2, n: 1}. What is prob of sequence nk?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1447488 (base 9) to base 5\nAnswer: -201040023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/12)*g**(3\/4)\/g*g\/((g*g**(1\/8))\/g)*(g\/g**(-3\/5))\/g*(g**(-1))**(17\/4)\/((g*g**(-4\/3)\/g*g)\/g*g**(6\/7)) assuming g is positive.\nAnswer: g**(-737\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-3 + 2 - -3). Let j be 2 - -7 - (4 + k). Solve -3*f + 4 = -2*c, -3*c + 3*f + 0 = j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8697.856 millilitres to litres.\nAnswer: 8.697856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -3*x**2 + 1\/84*x**6 + 1\/1176*x**8 + 0*x**3 + 0 + 4\/735*x**7 + 1\/105*x**5 + 0*x**4 + 0*x. Solve o(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*m. Suppose m*h = -h + 30. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -1017201396.\nAnswer: -1017201396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 21*s, 2*s + 2420 = 5*j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -678, -693, -714?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -182?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) -5 (c) -0.1 (d) -11.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286 + -147. Let d = -139.02298 + x. What is d rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9198613 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -169 - 122. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56657 greater than -56655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 621490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144104\/123 or 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 14*d - 5*d**3 - 18*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21 + 25*m - m + 33 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1108, 2218, 3322, 4420, 5512?\nAnswer: 6598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7 = g, 4*d + g = d + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464788443?\nAnswer: 3, 7, 22132783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c09 + -5?\nAnswer: 3c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 + 9*g**2 - 15 - 6*g + 0*g + 5*g. Let l be o(-13). Calculate the remainder when 83 is divided by (-68*l\/4)\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -q, 0 = 3*q - 16*u + 20*u - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531 + -540. Let h = -6 + 6.1. Which is the closest to h? (a) y (b) -1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3\/5*d**5 + 0*d**3 + 0*d**4 + 0*d**2 + 5 + 4*d. Differentiate i(w) with respect to w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -11. Let h be ((-3)\/(-6))\/((-2)\/i). Let z be (-2)\/h + 2 - -2. Solve -z*p + p = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 422, 978, 1750, 2732?\nAnswer: 3918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26196596, 52393181, 78589766?\nAnswer: 104786351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 23*c - 58. Let d be m(18). Suppose 5*l - w - 14 = 0, -4*w = -0*l + 3*l + 10. Let a be (-6 - -8)*33\/l. Do a and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13605, 54154, 121691, 216222, 337753, 486290?\nAnswer: 661839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15600357*k**4 - 3*k**2 - 3872160*k?\nAnswer: 374408568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -43*y + 3. Suppose -4*s - 3*w = 1 - 9, 0 = -s - 5*w + 19. List the prime factors of g(s).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12748, -12749, -12750, -12751, -12752?\n\"Answer: -h - 12747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.3, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/4 bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*l - 384, 3*g - 3*l - 761 + 221 = 0. Let f = 67 + g. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 13. Let c be f(-16). Suppose c*l - 4*g - 19 = 0, -3 = l + 3*g - 2*g. Solve 3 = 2*s - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.054 and -3.4.\nAnswer: 0.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 6*q**2 - 1 - 2*q - 10*q**2)*(-2*q**2 + 2*q**2 - 2*q**2).\nAnswer: 28*q**4 + 4*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -36, -4 in increasing order.\nAnswer: -36, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*j*r + 369*j - 43*r + 6 wrt r?\nAnswer: -20*j - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3823 - -1.4823. Which is the closest to w? (a) -11 (b) 98 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 30, 60, 112, 192, 306, 460, 660?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-2) - (-9)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-50) + (-1)\/(-5))\/(120\/(-780))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 16 = -4*u, 5*u + f = -f + 20. Suppose -4*j + 5*k + 131 = 1, 0 = 5*j + u*k - 142. Calculate the greatest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 4, -0.16, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -170*x + 168*x + 88. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.77 - -1.7. Let b = t - -0.07000001. Round b to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49139 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7474638637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 5. Let a(m) = -9*m - 15. Let n(h) = 6*a(h) + 17*y(h). Let d(s) = 1. Let r(v) = 5*d(v) + n(v). Let c(t) = 2*t. Determine c(r(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 256209217 to the power of 1\/2, to the nearest integer?\nAnswer: 16007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*r**3 - 24*f**2*r - 82098*f**2 + 590*f*r**3 - 33*r**3 - 2*r**2 - 8 wrt f?\nAnswer: 2*r**3 - 48*r - 164196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -1 + sqrt(2736))*1))**2 + sqrt(2736) - sqrt(2736) - (-2 + 2*sqrt(2736)).\nAnswer: -24*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4\/9 (c) -45 (d) 0 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 2. Give l(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 573*o**3\/8 - 1861307*o**2\/8 + 164837*o\/2 - 1624 = 0.\nAnswer: 4\/191, 1\/3, 3248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44\/5 (b) -2 (c) 51 (d) -0.3 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (92982996\/153)\/(4\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-16 - (-1998)\/72).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -6a814?\nAnswer: -6a819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(165)\/sqrt(3) - sqrt(55) - sqrt(55))\/sqrt(11))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7452, -7451, -7450, -7449, -7448, -7447?\nAnswer: -7446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 - 2159?\nAnswer: -217b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55*7*12\/42. Calculate the highest common divisor of a and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose -5*d - w*n - 12 = 0, 2*d + d + n + 3 = 0. Find g, given that g**2 + g**3 + 3*g + g**2 - 2*g + d*g**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-70) - ((-3)\/(-6) - (-286)\/(-84)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 4 (c) -7\/6 (d) 5 (e) -51 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -407 - -570. Let w = 281 - s. Suppose 0*a - 50 = -3*i + 4*a, -w = -5*i - 2*a. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.8. Let i = 0.4 - 0.2. Let s = -1\/140 + -11\/28. Which is the closest to 0.1? (a) s (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9152878 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13295 - 12719. Calculate the least common multiple of 352 and y.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.97 - 159.03. Let d = -162 - s. Let h be (0 - (0 + 3))\/5. What is the third biggest value in -1\/2, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -1\/3 (c) -2\/7 (d) 1\/2 (e) 5\/359\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = 5*b, -2*b = f - 3*b. Let m(y) = 8*y. Calculate the least common multiple of 6 and m(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y**2 - 5332*y**3 - 5327*y**3 - 5331*y**3 + 21453*y**3 - 5461*y**3.\nAnswer: 2*y**3 + 42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/70 and 75\/406.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -21*t**2 + 23\/24*t**4 + 0 + 19\/168*t**8 + 0*t**5 + 0*t**7 + 0*t**6 + 0*t**3 + 0*t. Find the second derivative of s(c) wrt c.\nAnswer: 760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 - (-10)\/112. Put x, -0.3, -2 in increasing order.\nAnswer: -2, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*l + 528*l**2 - 537*l**2 + l**3 + 0*l**3 + (3 - l**2 - 3)*(-2*l - 2*l - l).\nAnswer: 6*l**3 - 9*l**2 + 72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 542485379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9469*b - 4. Let g(k) = 284070*k + 119. Give -4*g(u) - 119*j(u).\nAnswer: -9469*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -145?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 54?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-9*k**3 + k**3 + 6*k**3 + (-1 + 1 - 2*k)*(2 - 2 - 2*k**2)).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33425 and 18.91536413.\nAnswer: -33406.08463587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*w = 3*w - 560, 3*w + 12 = 0. Find the common denominator of -121\/6 and 4\/p*(-354)\/8.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17\/z**(-3)*(z\/(z\/(z*z**(1\/5))))\/z**(-8) assuming z is positive.\nAnswer: z**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 + 1. Let u(w) = -w**3 - 7*w**2 + w + 8. What is the remainder when u(-7) is divided by j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80 + 244?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 6. Let i be (-1)\/(-3)*5*72\/30. Suppose -i*p = -4*c - 12 - 8, p - 5 = 2*c. Give z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a - 12. Let b(k) = 4*k**3 + 3*k**2 - 2*k - 3. Let x(i) = 5*i**3 + 4*i**2 - 2*i - 4. What is a*b(o) + 3*x(o)?\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 622777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62830.1 and 0.766?\nAnswer: 62830.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/15 + (-148)\/(-5). Let i = k - 29. Suppose 3*a = o - i*o - 197, 3*o + 2*a = 547. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 128 = -0*h - 5*z, -5*z = 0. Let p = 47 + h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8698 + -5?\nAnswer: -86a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 66?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4374354 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1906815 - 18231058301\/9561. Let u = j + -10371151\/27918120. Let t = 2\/365 + u. Which is the closest to 1? (a) 0.5 (b) 1\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42a + 7?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.095 - -127.905. Let r = -2.9482258 + -125.0512042. Let l = r + k. What is l rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 60 = 0. Let g = 32 + a. Let f = 83 - g. What is the greatest common divisor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + -11. Let f = 39 + i. Is -0.12 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389287241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15046487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2402*n**2 - 4846*n + 87. What is c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5, 338 in increasing order.\nAnswer: -3, 4, 5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 8*h - 11. Let c be o(10). Suppose 4 = -5*t + c*t. Let w(k) be the third derivative of k**4\/4 - k**3\/6 - k**2. Determine w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {e: 2, t: 8, n: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 times -15.05?\nAnswer: -17578.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2206991583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -62. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60804288 divided by -48.\nAnswer: 1266756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 3 + 29*h**2 + 3.\nAnswer: 29*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(3\/8))\/i))\/i**(-19))\/(i**1\/(i*i**(-17)*i*i*i)) assuming i is positive.\nAnswer: i**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2479 is divided by 85?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 90*q**2 - 195*q - 100 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*f - 10, -2*p - 1 = -p - 4*f. Let q be (-4)\/(p\/(-6)*1). Suppose q*b = 4*b + 8. Calculate the least common multiple of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from jbjokkvjjvbb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*h + 176*h - 91*h + 11970. Calculate the highest common factor of 560 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/7)*w\/(((w\/(w\/(w*w*w\/((w\/(w*w\/w**(-5\/4)))\/w))))\/w)\/w))**(1\/30) assuming w is positive.\nAnswer: w**(-71\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5233 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3763446 and 17458?\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*r = -286*r + 133*r + 8211. What is the greatest common factor of r and 2163?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from dcovavab?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, a: 1, z: 2, m: 1, e: 1}. Give prob of sequence xa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxffffjtj. Give prob of sequence jt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 + 447*m**2 + 3. Let k(n) = -12*n**3 - 894*n**2 - 7. Calculate 3*k(c) + 7*u(c).\nAnswer: -c**3 + 447*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 4999576736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*10694.9301\nAnswer: -42779.7204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -922, -1, 905, 5 in ascending order.\nAnswer: -922, -1, 5, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37883810 - -4870868.\nAnswer: 42754678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44493 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 9*c + 6 = 0. Let b = 23 - -167. Let w be 1\/(-3 - b\/(-65)). Which is bigger: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -74. Let l(w) = -w**3 - 22*w**2 + 19*w - 97. Let m be l(-23). Suppose -4*f + 2*f = 2*c + 4, 0 = 3*c + f. Sort c, s, m in decreasing order.\nAnswer: s, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:57 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5032355000 to the nearest 1000000.\nAnswer: -5032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-14)\/4)\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 6. Suppose 0 = d - 24 + s. Suppose -o - 2*r = -d, 0 = 3*o - 2*o - r - 28. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 50 = -2*c, 2*r + 0*r + 9 = 5*c. Let j(v) = 13*v + 39*v + 36*v. Let x be j(1). What is the greatest common factor of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -23.6. Let v = 0.6 - i. Let t = 0 + v. Which is the third biggest value? (a) -0.2 (b) -1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3586 (base 15) to base 7\nAnswer: -45111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {b: 1, v: 2, r: 1, s: 2, h: 3, w: 8}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*j + 34 = 0, 2*d + 4*j - j = 26. Let z = 697 - 691. What is the smallest common multiple of d and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -837*d*x**4 + 477*d*x**2 - 167*d - 8*x**2 - 359 wrt x?\nAnswer: -3348*d*x**3 + 954*d*x - 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 less than or equal to 313\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189155*r**2 - 8716*r**2 + 76454*r**2 + 24551*r**2.\nAnswer: 281444*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-2 + -21)) + -3 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 178 = 2*j + 837, 3*r = 4*j - 1967. Is (r\/(-3))\/((-1)\/(-6)*6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116275337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2, 0.06, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337830527.\nAnswer: 181, 1866467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/4)\/(60\/(-160)). Factor -4\/7 + 4\/7*n**s + 0*n.\nAnswer: 4*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -148, -149, -152, -157, -164?\n\"Answer: -m**2 + 2*m - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*w**3 - 793*w**3 + 423*w**3 + 491*w**2 - 491*w**2.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 28086a7?\nAnswer: 28086ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 168, 84, 0, -84, -168, -252?\n\"Answer: -84*j + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-5 - (-61 + 3 - 5)). Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -123?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 26146120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103158 divided by 33?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*m - s - 39, 3*m - s - 27 = 0. Suppose m*f - 3*f = -15. Let r be 92\/6 + f\/9. Solve -5*j = -0 - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.56? (a) -1\/3 (b) 25 (c) 3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 5*x**2 - 2*x + 11. Let o be m(5). Let j be o\/(-1 + (-13)\/(-12)). Suppose 0 = -2*w - 2*w - 4*v + j, 3*w - v = 13. Solve w*h - h = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413458836 divided by -579074\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:17 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**3 + 30*y**2 + 49*y + 42. Let t(i) = 2*i**3 - i + 2. Let c(b) = 6*t(b) - w(b). Factor c(o).\nAnswer: -5*(o + 1)*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - -4) + -4)*(0 + -4). Suppose 0 = -5*g - 2*p + 57, 2*p - 48 = -q*g - 2*p. Solve 0 = 5*h + 15, 0 = -j + h - 6*h - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32405 + 32410.9. Put 1\/44, 4, k, -2 in decreasing order.\nAnswer: k, 4, 1\/44, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439 * 3\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-216)*-6*16. Let v(d) = -d - 1. Let t be v(-2). Suppose -2*x + 5 = t. Solve 0*k = x*k + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + (sqrt(1088) - (sqrt(1088) + -2)) + -3 + sqrt(1088))**2 - ((sqrt(1700) + -1 - sqrt(1700)) + 4)**2.\nAnswer: -32*sqrt(17) + 4344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -302 - -2?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1985214863 - -3?\nAnswer: -1985214860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:02 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/15)*b**(7\/2))\/(b*b**(1\/5))**(1\/29) assuming b is positive.\nAnswer: b**(3067\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138335909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 h when four letters picked without replacement from ooobhhhdhoddduzodddh?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-6)\/(36\/15)). Suppose 3*w + 12 = -j + 25, 4*j - 10 = n*w. Solve -24 = 5*u + g, 0*u - u - w*g = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55798366 and -13.\nAnswer: -725378758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/932 at most as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 3*j + 1170. Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67528*v**3 - 4*v**2 + 124844*v**3 + 271801*v**3 + 4*v**2.\nAnswer: 329117*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-1*sqrt(330))\/sqrt(11) + sqrt(240)\/(sqrt(24)\/sqrt(3)))\/(1*sqrt(490) - sqrt(490) - sqrt(490) - sqrt(120)\/(sqrt(12) + sqrt(12) + sqrt(12)*2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5 and -56\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/116 and -61\/9072795?\nAnswer: 36291180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14572316633.600045 - -14572465477. Let q = d - 148842. Let k = -1.4 + q. Round k to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.6 + 62. Which is the closest to -0.1? (a) -6 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-16719)\/(-7) - (-48)\/84. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 122213320320?\nAnswer: 122213320323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113900 and 1409300.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3 - 3)*(3 + 1 - 3) + 0*o + o + o + 0*o - 2*o + 0*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**22)**(1\/77)*(z**(-20\/9))**(2\/11) assuming z is positive.\nAnswer: z**(-82\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15*(-2)\/252 + (-2)\/7. Let d = 10.6 + -9.6. Which is the nearest to 1? (a) y (b) 6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5156.4303 microseconds to hours.\nAnswer: 0.00000143234175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -502 - -527. Suppose 8*t - v*t = -714. What is the lowest common multiple of 36 and t?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -14 - 13. Let j(s) = 2*s + 11. Let c be j(n). Let u(o) = -o**2 - 6*o + 8. What is u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1 - -1.1. Let m = 0.5 + 0. Let r = m - 0.7. Which is the third biggest value? (a) x (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(-1*(-4)\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**6\/4 + 3*y**5\/10 + 3*y**4\/4 - y**3 - 3*y**2\/4 + 3*y\/2 - 58. Factor o(u).\nAnswer: -3*(u - 1)**3*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 34 - (15 + (2 - (1 - 3))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000388 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x - 43*x = -142*x + 111 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:31 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f - 309. Let z be l(43). Let a(r) = 63*r**3 - 2*r**2. Let b(d) = 1071*d**3 - 35*d**2. What is z*a(j) - 2*b(j)?\nAnswer: 63*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 + 3*l. Let x be w(-2). Let d be (-16)\/x + (-10)\/15. What is the first derivative of -2*a**d - 20*a + 2 + 20*a - a**2 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -342994\/7 + 343054\/7. Let -386\/7*f**2 - 512\/7 - 2\/7*f**4 + w*f**3 - 960\/7*f = 0. Calculate f.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**16*((q**(1\/4)\/q)\/q)\/(q**4*q) assuming q is positive.\nAnswer: q**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-2 - -1)\/(5\/(-130)). Suppose -4*f + 204 = -736. Let d = f + g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n - 10304. Suppose -n = -5*c + 539. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2089 - -4)\/(3\/(-21)). Let h = y - -26308. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b - 12. Let p be ((-27)\/198)\/(b\/(-4)). Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 452*x**2 - 9064*x - 23232 = 0. Calculate x.\nAnswer: -88, -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4158?\nAnswer: -2\/2079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 93*b**3 - b**2 + b. Let g be c(1). Suppose -9 + g = 4*m. Let a = -18 + m. Calculate the highest common divisor of 27 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/259 + (-1698)\/11151. Which is the third smallest value? (a) -5 (b) 2\/23 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 404 + -443. Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Let q be (-41)\/13 + (-12)\/z. Sort 3, q, -0.5 in decreasing order.\nAnswer: 3, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i + 21 = 64*i. What is the nearest to -0.01 in i, -2\/5, -12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315578 is divided by 706.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/8 + 749135*s**2\/8 - 1872875*s + 18728875\/2 = 0. What is s?\nAnswer: -749155, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -890 - -1984. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14\/67, -0.5, 711?\nAnswer: -14\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17985\/60 + (0 - 2\/(-8)). Suppose -r = j - 4*j. Calculate the highest common factor of j and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -590 + 590. Let w(c) be the second derivative of 0 + 1\/24*c**4 + n*c**2 - 1\/4*c**3 - 6*c. Factor w(d).\nAnswer: d*(d - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 6}. What is prob of sequence tll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 2. Let k be 3 - -19 - (-8)\/4. Suppose -w + k = 5*w. Let z(c) = 3*c + 7. Give w*z(n) - 14*v(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 530099 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 73551319*g**2 + 260151*g. Let q(u) = -5089*u**2 - 18*u. Calculate 6*l(t) + 86717*q(t).\nAnswer: 5101*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 15 + 45. Suppose 290 = 5*m - r*y + 7, -4*y - 8 = 0. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {o: 2, s: 2, v: 2, b: 1, t: 1, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, c: 1, e: 1, x: 1, g: 1}. Give prob of sequence xg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4\/3 (b) -4\/31 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Let m(u) be the third derivative of u**5\/30 - u**4\/6 + 5*u**3\/6 + 53*u**2 + 1. Let t be m(g). Solve t*n + 0*f - 18 = f, 3*f = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 36\/16517?\nAnswer: 36\/16517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 317 = -3*r, 47*k = 2*r + 51*k - 226. Are 109 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 433 - 425 - 4*g)*(12*g + 7*g + 9*g).\nAnswer: -196*g**2 + 224*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30049 * 2.\nAnswer: -60098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 4*c + c + 0*c + 46*c**3 to a*c**3 + b + x*c**2 + j*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x**2 - 4. Let m be g(-3). Let y = -851 + 849. What is the third smallest value in 2\/25, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 419 - 157)*(3*k - 5*k + 0*k).\nAnswer: -454*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13835 - -13815. What is the smallest value in x, -0.1, -1\/2, -5\/2, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71135 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:08 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5220 = -0*w. Let g be (-6)\/39 + w\/78. Differentiate -9*b + 4*b - 7 + 4*b + g*b wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1206996 divided by 402332.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 99\/22*(-2)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 3 + 3*f - 84*f**2 + 1.\nAnswer: -84*f**2 + 3*f - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.04 - 145. Let x = s - -34. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -2133, -5, -15 in descending order.\nAnswer: 66, -5, -15, -2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from {o: 1, d: 1, y: 1, l: 1, n: 2, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmdldummkdmmldm. What is prob of sequence mldu?\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, -3, 44\/9, -3\/2, -5, -9.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 5392.75.\nAnswer: 5392.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3 + 8*a**2\/3 - 7*a\/3 + 2\/3 = 0?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -554254.99997 + 554246. Let j = 9 + m. What is j rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.622 and 0.305?\nAnswer: -0.18971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -949 divided by 638347?\nAnswer: -949\/638347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1782 and 324.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35 times 20.7203?\nAnswer: 48.692705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 13*u**2 - 22*u + 3. Let a be h(11). Solve -a = -4*g + 4*d + 17, d + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -49*b**2. Let x(d) = -32571*d - 31339. Let y(m) = 77*m + 74. Let h(r) = -4*x(r) - 1694*y(r). Determine q(h(i)).\nAnswer: -1162084*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/468 and -103\/10.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from vvvpvgrlmmlgmpvvm.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 2 + 15*n + 3 + 27*n**2 - 43*n. Let f be o(-28). Find the second derivative of 5*d - f*d**5 + 4*d + 8*d + 2*d wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8564119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i. Suppose -3*n + 0*n + 69 = i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 50. Suppose 0 = 5*d + 5*n - a, -4*d - 5*n + 10 = -9. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -778283\nAnswer: -10\/778283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7301, -4.\nAnswer: -4, 0, 7301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -855533 (base 9) to base 14.\nAnswer: -d384d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Suppose 3*f = 2*f + u. Is 3\/(-3) - (f + -12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 2 - (7 - -7). Let r = i + 2. Let o = 20 + r. Solve 2*w + 2 = 3*b + 14, -2*w + o = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h - 8. Let n = h + 6. Find the second derivative of 6*i - n*i**4 + i - 4*i + 0*i wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - q**3 - 2 + (-3 + q**2 + 3)*(3 + 1 - 2 + 2*q + (-2 + 5 - 1)*(-2 + 2*q + 2) + q + 2*q - 4*q)*(2689 - 1208 - 11464).\nAnswer: -49916*q**3 - 19966*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.9995 - 7. What is s rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-2*1)\/2. Let v(w) be the third derivative of 779*w**5\/60 - 7*w**4\/24 - w**3\/3 - 7*w**2. Let k be v(n). What is k rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t\/(t*((t\/t**(2\/9))\/t)\/t*t))\/t)\/t**(-2\/5))\/(t**(-3\/7)\/t**(-1\/6)))**(2\/13) assuming t is positive.\nAnswer: t**(1187\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1406950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57326, -114705, -172230, -229973, -288006, -346401, -405230, -464565?\n\"Answer: -12*h**3 - h**2 - 57292*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2\/5 + 30776*u\/5 + 6916444 = 0. Calculate u.\nAnswer: -995, 8689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a microsecond in nanoseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145967, 145876, 145785, 145694, 145603?\nAnswer: 145512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10376711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 1 + 1. Let r be 1 + 2 - (0 + 1). Let a(o) = 0*o**r + 3*o**2 - 5*o**2. Give a(g(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -0.8, -32\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2936723199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9299435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:48 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -13854432 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 128.\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12804 divided by -4?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*z + 8, -3*z - 14 = -2*m + z. Suppose -2*c = -0*c - 6. Let g be 1 - 1 - (-2)\/1. Put g, c, m in decreasing order.\nAnswer: c, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160+14250\nAnswer: 14410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 18, 134, 0 in descending order.\nAnswer: 134, 18, 10, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b + 168 - 168.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7993271 or -7993272?\nAnswer: -7993272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -307589 divided by -3?\nAnswer: 307589\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7591111.6 and 4.\nAnswer: -30364446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 + -1.3. Let d = 2 + l. Which is the closest to -0.1? (a) 2 (b) d (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Let t be 2\/u*(1 + 7). Solve -t*k - 16 = -0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 267?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**(-1\/2))\/f*f**8\/f)\/(f**(1\/17)\/(f*f**(-2\/7)))*((f*f\/(f\/(f\/(f*f**3\/f))*f))**(2\/5))**11 assuming f is positive.\nAnswer: f**(423\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.52882 rounded to one decimal place?\nAnswer: 82.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 10. Let p be g(6). Let k be p\/(-3) + 1*5\/(-15). Is 8 + 25\/(-5) + k*94 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321127138, 321127136, 321127134, 321127132?\nAnswer: 321127130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 40, 67, 96, 127?\n\"Answer: k**2 + 22*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from {l: 4, g: 1, m: 3, w: 1, o: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 7 - w**2 + 0 + 10 + 3*w**4 to the form o*w**2 + f*w**4 + s*w**3 + u + h*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041706.\nAnswer: 2, 520853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410715952 by 51339494.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(17\/2))**(-3\/10) assuming a is positive.\nAnswer: a**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 585 + -583. Solve 0 = -0*p + w*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 11 + 6 - 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -120. Let b = w + -48. Let k be (9\/12)\/(3\/36). Solve -c - 8 = 4*o, -o + k = -b*c - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = -2*d, 0 = 2*h - 3*d - 595 + 612 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5, 0*a + k - 117 = -4*a. Calculate the remainder when 432 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2\/2)*(-43)\/(-86)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 > -1\/1344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 15. Let k(h) = h - 8. Calculate 11*k(f) - 6*u(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -b - 122, -7*b + 2*b = 20. Suppose 3*y - g = 26. Calculate the remainder when y is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -806*f**2 - 515*f + 2201. Calculate w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3615 + -2297. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*n + 5*x, -7*n + x = -5*n - 9. Suppose n*i - 2033 - 137 = 0. What are the prime factors of i?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8570, 16997, 25428, 33863?\n\"Answer: 2*c**2 + 8421*c + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1380.\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 - k - 1. Suppose -4*v + v = 3*v. Let c(q) be the first derivative of -q + v*q**2 + 1\/3*q**3 - 2. Determine 3*c(y) - g(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37*(-1)\/2*2116\/(-1058).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*s + 98*s + 202*s.\nAnswer: 559*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3298925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-70)\/77)\/(2*2) and 83\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 4*z + 43, -18*z = 3*o - 19*z - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 5*k**2 - 5. What is s(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/20 - r**4 + 5*r**3\/6 + 6*r**2 - 5*r. Let t be s(11). Let l = t - -54. Is l at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.39918*0.3\nAnswer: 0.119754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9205, 21349, 41589, 69925?\nAnswer: 106357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 81798 + 0.05\nAnswer: 81798.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 12*v**2 + 3*v - 33. Let k be x(12). Suppose -104 + 83 = -k*f. Solve 10*u - f*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -1, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73, 35, 143, 251?\n\"Answer: 108*d - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5538259*x**2 + 5025274 wrt x.\nAnswer: 11076518*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2863, -34, -64 in descending order.\nAnswer: -34, -64, -2863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Suppose -12 = -b*c - c. Calculate the lowest common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -z - 4, -5*z + 10 = 3*p - 2*p. Let j be (3\/(-15))\/((-4)\/5). Let l = 73 + -221\/3. What is the closest to l in z, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.5, -0.3, 605?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-15)\/((-30)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.042, -1, 43\/13, 4, -2\/11, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9)*j**17*j\/(j**(-8\/11)\/j)*j*j**(1\/4) assuming j is positive.\nAnswer: j**(527\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/1330)\/(1215\/855).\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115141 greater than 115139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3210 - 1397. Which is smaller: 1812 or v?\nAnswer: 1812","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g - 355 = g - 83 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 + 21*x**2 - 78*x**2 + 31*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d - 5. Determine k(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 0.334?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 - 29*z**4\/2 + 81*z**3\/2 - 79*z**2\/2 + 13*z.\nAnswer: z*(z - 26)*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*g = -8*g + 18, 3*v - 6 = g. Factor 144 + 300*s**2 - 360*s - 290\/3*s**v - 2\/3*s**5 + 40\/3*s**4.\nAnswer: -2*(s - 6)**3*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Which is the closest to 1? (a) -0.5 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Sort o, -0.5, -1, 0.07.\nAnswer: o, -1, -0.5, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224352767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*l**2 - 52*l**2 + 23*l**2.\nAnswer: -117*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7563\/(-18))\/((-36)\/216)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7)**(2\/21)*s**(-15)*s*s**(-4) assuming s is positive.\nAnswer: s**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -353 + 354. What is the third smallest value in -0.2, -0.028, -2\/27, k?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001858 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10427, 17466, 24505, 31544?\nAnswer: 38583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 15, 378*b - 379*b - x = -78. What is the remainder when 244 is divided by b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/7 + 435\/(-1015). Let t be (-1)\/2 - 1\/2. Which is the smallest value? (a) -8 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 51.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/2 - v**3 + 12*v**2 + 16*v - 64 = 0. What is v?\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 399835729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 + 8 = 3*s, 5*s - 20 = -3*q. Let b = -2 + s. Suppose -8 = -b*v - 2*v. Solve 5*r = v - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w - 31. Let m(c) = -c**3 - 27*c**2 + 51*c - 203. Let r be m(-29). What is i(r)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 33. Let n be (-382)\/6*9\/15. Let w = n + 38. Sort 0.8, w, c in decreasing order.\nAnswer: c, 0.8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 13\/2 (c) 549\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 - 44*a - 223. Let n be f(-6). Let u be 0 + -10 - 0\/4. Put 1, n, u, 3 in decreasing order.\nAnswer: n, 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2951.30025 + 2951. Let h = -0.38 - -0.08. Let a = h - d. What is a rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**7\/840 + 23*j**4\/24 - 21*j**3 - 32*j + 2. Let b(a) be the second derivative of n(a). Give b(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/(-50))\/(12\/(-15)). What is the closest to 2\/3 in -1, -10, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10648*-1601\nAnswer: -17047448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 16. Suppose 2*y + a*n = n, -3*y + 3*n + 15 = 0. What is the highest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31645*n**6 + 2968*n**2 + 19 wrt n.\nAnswer: -3797400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 3*h, 0 = -2*q - 3*h + 20. Suppose 3*z - 46 = -3*t + 41, 5*z = q*t - 71. What is the remainder when 634\/14 - (-30)\/(-105) is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696449?\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 divided by -187.\nAnswer: -261\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 3, f: 6, t: 6, u: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 - 3.2. Let h = m + -4.7. Let r = -1 - -5. What is the second biggest value in r, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111222 (base 4) in base 13?\nAnswer: -ba81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:09 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9840443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(36\/43)*(15444\/39)\/(-33)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56949987841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l = 70. What is the remainder when (0 + -3)*123\/(-9) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*d**3 + 4)*(-4 + 1 + 1) + 32*d**3 + 124*d - 124*d + (3*d**3 + d**3 - 5*d**3)*(4 + 1 - 3).\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287623.5 millilitres to litres.\nAnswer: 287.6235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.447 and 212.\nAnswer: 219.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c8c + 384?\nAnswer: -3908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -126*z**2 + 1103*z + 5. Give w(9).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -55 + 71. Let k(m) = m**3 - 5*m**2 + 9*m - 13. Suppose 3*z = y - 23, -78 = -4*y + 2*z + 3*z. Calculate the remainder when y is divided by k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -64*p**2 + 63*p**2 - 2*p + p. Let h(j) = 6*j - j - 3*j. What is x(h(z))?\nAnswer: -4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5790 - 3662. Let s = -149 + h. What are the prime factors of s?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323744 is divided by 124.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 8\/(-2))\/(-1 - 1). Let v(d) = d**2 + d + 3. Let c be v(b). Suppose m + u = 32 + 16, 0 = -c*m - 4*u + 139. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.12347 and 1.\nAnswer: 2.12347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + 2 + sqrt(275) + (sqrt(275) + 0)*4 + 2 + 4 + 2.\nAnswer: 8 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -639903.0999938 - -639901.1. Let n = -6 - -8. Let z = p + n. Round z to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2. Suppose o*s + 1060 = 2*u - 217, -5*s = -5. Let x = u - 1885\/3. Calculate the common denominator of x and 75\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 2. Let i be m(4). Let f = -29 - -35. Calculate the highest common factor of i and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 896*z + 822. What is n(-1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3473 + 4067. What is the greatest common divisor of l and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10221, 40197, 90159, 160107, 250041, 359961, 489867?\nAnswer: 639759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.091 (b) 10 (c) 2 (d) -14.34 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1114 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 6) to base 15\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -162, -621, -1378, -2433, -3786?\n\"Answer: -149*k**2 - 12*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*m**3*y**2 - 3*m*y + 8*y**2 wrt m?\nAnswer: -1056*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - s)*((4*s - 2*s**2 - 4*s)*(2 - 1 + 1) + 23*s**2 + 3 - 3).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-11 + 3 + (0 - 1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:46 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -18049733 less than -18049729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6540*r - 29276 = 3424 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5590 (b) 1 (c) -6 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-2 + 2 + 3*g) + 8161 - 2896*g - 8161.\nAnswer: -2905*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from nozfokofooffoof?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 8*a - 30. Solve o - h + 4 = a*o, -o = -4*h + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597 = -89*w - 63 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {q: 5, d: 1, f: 3, b: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*y + 5*b, -5*b = y - 3*b - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 + 102624*d**3 + 43151322*d**2 - 86610524*d + 43356576 = 0.\nAnswer: -50888, -426, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 (base 8) in base 10?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2*(-23845)\/(-3765)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -7*h**6\/40 + h**5\/30 + h**4\/24 - 7*h**3 + 11*h**2. Let c be a(7). What is c rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(2*h - 4 + 4 + 1 - 4*h - 1 + (-3 + 1 + 0)*(14 + 5*h - 14)) as s*h + g and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261089?\nAnswer: 3, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*s = 120, c = 3*c - 2*s + 70. Is c at most -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/19))**3*((g\/g**(-2\/29)*g)\/g)\/(((g**21\/g)\/g)\/g*g*g) assuming g is positive.\nAnswer: g**(-10605\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by -4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 + 3. Let r = -9392\/13 - -723. Let q = -48\/65 + r. What is the closest to x in 3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x**2 - 10*x + 12. Suppose -3*n + 2 = -w, -6*w = n - 5*w - 6. What is c(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27709269 divided by 21?\nAnswer: 1319489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 - 5*z**2 + 0*z**2. Let x(p) = -4*p**2 + p. Let l(q) = 7*q**2 - 2*q. Let c(r) = l(r) + 2*x(r). Calculate i(c(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -618 + 376. Let t = g - -1222\/5. Suppose -3\/5*z**3 - 3\/5*z**2 + t + 12\/5*z = 0. Calculate z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03177671389 rounded to five decimal places?\nAnswer: -0.03178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 12) to base 16.\nAnswer: -13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 114 = 2*p. Calculate the remainder when 72 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -952359*c**2*i**2 + 188*c**2*i + 3*c**2 + 2*c*i**2 - 2*c*i - 18*i wrt i?\nAnswer: -1904718*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-60)*(-22)\/(-330).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b**5 + 0*b + 0 + 2\/15*b**6 + 15*b**2 + 0*b**3 + 19\/24*b**4. Find the second derivative of a(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 10*j - 7. Let s be g(8). Suppose 0 = -2*z + s + 1. Suppose 15 = 7*f - 2*f, 3*q - z*f + 12 = 0. Sort 0, q, 3 in descending order.\nAnswer: 3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 39*h**2 + 0 + 3*h**2 as f + i*h + w*h**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1390 + 1389.102. Round q to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 6\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*s - 108857 + 108128 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 7*x - 3. Let n(i) = i**2 + 8*i - 34. Let p be n(-11). Let l(m) = -4*m**3 + m**2 - 2*m - 1. Let u be l(p). What is a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 82. Let j be 4 + (f + 1)\/5. Suppose 0 = -j*p + 9*p - 4. Solve -p = 5*l + 6, 2*u + 10 = -4*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 632951345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (3 + -1 - 3)) + 3. What is the third derivative of -58*d**4 - 2*d**j - 7*d**2 + 82*d**4 wrt d?\nAnswer: 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 52.29. Let x = f + -0.01. Is x less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (120\/500)\/(3\/(-5))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -16. Let q = c + -10.5. Put q, -1, -1\/3 in ascending order.\nAnswer: -1, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5088*k - 5*i = 5091*k + 55, 3*k = i + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1313628192 divided by 24722.\nAnswer: -53136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 3096*n**2 + 9691*n**2 + 5388*n**2.\nAnswer: 11983*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 86650902*m = 0 for m.\nAnswer: 0, 43325451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 106323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 386, 931, 1914, 3479, 5770, 8931, 13106?\nAnswer: 18439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/((y\/(y*y**(-9)\/y))\/y))\/(y**0\/y)**(-1\/21) assuming y is positive.\nAnswer: y**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. Let g(c) = -3*c + i*c + c. Let s be (21 + -19)*(30\/4)\/3. Let p(h) = 4*h + 1. Give s*g(a) - 2*p(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 51*t**5 + 53*t**5 - 3*t - 1 - t**5 - t**5 + t**5 + (t**3 + 3*t**3 - 3*t**3)*(-2*t**2 - t + t).\nAnswer: -t**5 - 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from eefgf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6264150 and 140.\nAnswer: 87698100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2. Let r(z) be the second derivative of z**3\/6 + 4*z. What is s(r(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 228270442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186067.1 litres in millilitres?\nAnswer: 186067100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211019815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-40) - (-84)\/10. Let a(p) = 15*p - p**3 - 27*p + 3*p**2 + m - 13*p**2. Is 9 a factor of a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*y - 18, 1155*c + 44 = -5*y + 1164*c for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 49*h**2 - 36*h + 9. Give o(25).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.39894cm in millimeters?\nAnswer: 203.9894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -58195?\nAnswer: -58192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 3\/5 (c) 2 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 26 + 124. Suppose -5*u + 2*q = 3*q - h, -3*u - 2*q = -18. Let i be (2 - 0)\/(u\/9). Solve i*d = 2*d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.99 - 6.9899214. What is n rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7)**(-36)\/(r\/(r**(1\/4)\/r)*r*(r\/((r\/(((r\/r**(-16)*r)\/r)\/r))\/r))\/r) assuming r is positive.\nAnswer: r**(-1083\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -202*l - 3. Let f(t) = -404*t - 10. Determine 7*a(u) - 3*f(u).\nAnswer: -202*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-80)*-36*(-8)\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/15)\/(24\/(-60)). Let y(o) = 9*o - 44. Let w be y(5). Which is the closest to w? (a) k (b) 23 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 + -415. Suppose 8*w = -30 + 70. Let k be 4 + (1 - (0 - -1)). Solve 0 = -k*s + i + w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -6)\/(2 - 1). Let m be (-4 + p)\/(4\/6). Let s be (1\/(-9))\/(1\/m). Put s, -1, 5 in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 7:56 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:37 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4217*o**4 - 1592*o - 5139*o**4 + 1592*o + (2 + 3 - 6)*(2*o**4 - 6*o**4 + 2*o**4) in the form t*o + p*o**4 + s*o**2 + w*o**3 + d and give p.\nAnswer: -9354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u - 4. Suppose 4*h - u*h + 3*j - 58 = 0, 4*h + 2*j - 116 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201\/(-14) + 18792\/1392.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/(-25) - 6)*(1 + -2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s**2 - 3*s + 1. Let a be t(2). Let x = 7 - a. Suppose 0 = -3*v - v + x. Solve 7*m = v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.5 - 62. Let t = -59.3 - -59.9. Which is the nearest to 2\/3? (a) y (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1135364 and 138?\nAnswer: 78340116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331122?\nAnswer: 2, 3, 11, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4.9*-5557546\nAnswer: -27231975.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**3 - 79*y**2 + 13*y + 11. Give f(11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066 (base 7) in base 4?\nAnswer: -12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34873, 92123, 149375, 206629, 263885?\n\"Answer: i**2 + 57247*i - 22375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = -16. Let i be l\/(-6) - 14\/(-6). Factor 2*s**3 - 25*s - 1 + 24*s - s**i + s**2.\nAnswer: (s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 110 - 38 = 4*t - 48 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i - 2. Let y(v) = -13*v - 3. Let r(k) = 12*k + 2. Let c(n) = 6*r(n) + 5*y(n). Let b be (1 - 6) + 0 + 1. What is b*c(x) + 5*q(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -113 + 73. Let d(s) = -s - 13. Calculate d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f + 19 - 35 + 18)*(3*f - 7*f + f) to t*f + o*f**2 + v and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00634242753 to four dps.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -65. Let h(k) = -k + 2. Let p(v) = -1. Let b = -48 - -52. Calculate b*p(f) + y*h(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254430, 508859, 763288, 1017717?\nAnswer: 1272146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-3)\/r*r*r*r)\/r)**(32\/5)\/(r\/(r*r**(-1\/6)))**1 assuming r is positive.\nAnswer: r**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1457, 1277, 1035, 701, 245, -363?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, x: 9}. What is prob of sequence vvxx?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57750000 = -3*h + 14*h. Round h to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17456 - -44145. What are the prime factors of u?\nAnswer: 13, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 1, i: 5, m: 5, d: 4}. Give prob of sequence id.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.5 - -13. Let j = m + 1.5. Let z = -0.01 - 3.99. What is the nearest to -1 in z, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-3)\/21 + 0). Suppose 0 = -3*c + y*c - 92. Suppose 2*n - n - c = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/3)\/n)\/n)**21\/((n*n**(-4\/5))\/(n**(-2\/19)*n*n)))**(-1\/36) assuming n is positive.\nAnswer: n**(791\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11129 + 7905. Is 62 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*g - 3*g - 1131, 0 = 2*f + 2*g - 746. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 82 = -8*f + 6*f, -k - 3*f = -20. Calculate the remainder when 387 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c**2 - 6*c - 46. List the prime factors of s(-5).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4)*d)**(-37) assuming d is positive.\nAnswer: d**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8*d + 34585080. Let r = 3046270 - d. What is r rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + u - 4. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 4*c - c)*(2 + 4042683*c**2 - 1 - 4044433*c**2) as d*c**2 + x*c + n + s*c**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10413\/3100 - -7\/775. Calculate the common denominator of g and -34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/210 - a**6\/8 + 19*a**5\/60 + 29*a**4\/8 + 26*a**3\/3 + 654*a**2. Factor g(d).\nAnswer: (d - 13)*(d - 4)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-20)\/(-16) + 985\/(-4). Let x = 314 + f. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkktkkkkttk. Give prob of picking 2 t and 1 k.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27006851.\nAnswer: 27006851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94259 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/24)\/(132\/(-528)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*q**2 + 2*q**2 + 4*q**2)*(-2 + 9 - 2 + 0 - 3 - 4 + 3 + 2 - 6 + (0 - 2 + 1)*(-1 - 4 + 6)) in the form f + a*q + i*q**2 and give i.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 236072 + 236079 - 472151.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.799 + 11.699. What is the nearest to 3 in 4, -4\/3, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34032 - 34032.5. Let z = -26 + 26.1. Let k = 0.1 + -1.1. What is the closest to k in a, 3, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1365713, 1365581, 1365449, 1365317, 1365185?\n\"Answer: -132*o + 1365845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 1367520?\nAnswer: 1367520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680*p + 638*p = 0. Let n be 682\/(-2792) + 1\/4. Are p and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5490 = -31*d + 15435. Suppose -5*c + 4 + 6 = 0. Suppose 0 = c*i - d - 739. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12*a + 52 = 0. Let f be 4*(12\/a)\/(12\/4). Solve o = -2*o + f*l - 1, 4*o - 3*l - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 8) to base 2\nAnswer: -100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 199712618 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*((-6)\/(-10) - 13661851\/35). Let t = -934352 + a. Round t to the nearest ten thousand.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) + (-15)\/(-6). Suppose -u - g*b - 16 = 0, u + 5*b + 3 = -25. Let x = 10 + u. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.00584 and 1.\nAnswer: -1.00584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.234 - 1.444. Let l = f - -0.21. Which is the closest to 2\/7? (a) l (b) 2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -3.\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*j - 321*j - 1686*j - 557*j.\nAnswer: -2834*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 776 = -54*d + 53*d, 2*g = -2*d + 782. Let y = g - 393. Which is the smallest value? (a) 1\/5 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 66 + 626 = 0. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4816, 39414, 133334, 316240, 617796, 1067666, 1695514?\n\"Answer: 4944*p**3 - 3*p**2 - p - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 22 + 5*n**2 - 7 - 2*n + 1. List the prime factors of o(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -31, -1, 26.346, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 216055 + -1?\nAnswer: 216054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/((-3)\/(-5))*71\/(-71)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1196*i - 2069. Is m(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020882 rounded to four dps?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143662451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 18 + 29 = q, q + 3 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**6*v)\/(v\/v**(2\/11))*(v\/(v**0*v))**(-30\/11) assuming v is positive.\nAnswer: v**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 585905418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 3*o**3 + o)*(1 - 2 + 0)*((o - 3 + 3)*(4 - 4 + 2) + 4 - 4 - o + 0 - 3*o + 0) in the form y*o**4 + u*o**3 + p*o**2 + m + k*o and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 274\/5617 - 74\/(-164).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 + 437*o**4 - 61797*o**3 - 15889710*o**2 - 3*o wrt o?\nAnswer: -60*o**2 + 10488*o - 370782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let q(n) = -3*n + 5*n + 2 + 2 - n. Let y be q(-7). What is the nearest to r in y, 2\/7, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 0*i**2 + 9*i**2 + 2*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epe when three letters picked without replacement from {p: 9, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:48 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 0 + ((1*((sqrt(91) - (sqrt(91)*-2 - sqrt(91))) + sqrt(91)) - sqrt(91)) + sqrt(91))\/(sqrt(49)\/sqrt(7)*-6))**2.\nAnswer: -901\/12 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 = h + 18, 3*h + d = -39. Let s be -3 - (h + 5) - 3. Find the second derivative of -2*z**2 - 12*z - 13*z**s + 2*z**2 - 21*z wrt z.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/c**(-1)*c))\/(c**(1\/4)*c))**(-29)*(c**6*(c*c*c**(2\/5)\/c*c*c*c)\/c)\/(c*c**1*c*(c\/((c*c**(1\/3))\/c*c)*c)\/c) assuming c is positive.\nAnswer: c**(7799\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.287 + 0.187. Is 35.4 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2)*2)**2)*-4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99020295.\nAnswer: 3, 5, 11, 200041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 394495331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.961 + -0.089. Let b = 4.36 + i. What is b rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032222122 (base 4) in base 11?\nAnswer: 528a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 631817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b**2. Let y be z(-1). Let d = -12 + y. Suppose d*u = -4*n - 1 + 17, -2*u - 24 = -4*n. Solve -3*k = 4*t - 3 - 8, -30 = n*k - 3*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 4970.\nAnswer: 19880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19482467 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.4092 millilitres in litres?\nAnswer: 0.6044092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(2299)))**2 + -5 + -1 + sqrt(19) + 2.\nAnswer: -175*sqrt(19) + 9208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 19*n - 18*n. Let t be -38*(n\/3)\/(14\/42). Suppose -b = 2*a - 5 - t, -2*a + 28 = -4*b. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + g + 1 + 5 - 10*g**3 - 5 to b*g**3 + p + m*g**2 + o*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (-10 - (-3 + 0))) + (1 - -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -1, -5, 67 in descending order.\nAnswer: 67, 4, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/5))**(-2\/39)\/((k*k**0*k)\/((k*k**(20\/9)*k)\/k*k*k*k)) assuming k is positive.\nAnswer: k**(2398\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 121*v**2 - 18*v**2 - 124*v**2.\nAnswer: -21*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -24*u + 25*u + 3*t, -24 = u + 5*t. Sort u, 2, -19 in descending order.\nAnswer: 2, u, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/798 and 61\/59829?\nAnswer: 2273502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3074 + 681?\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Let j(l) = -3*l + 517730. Calculate j(r(z)).\nAnswer: -6*z**2 + 517730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 546678.3 millilitres?\nAnswer: 546.6783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let t(x) = -x**3 - 3*x**2 + x + 3. Let l be t(-3). Suppose b - 2*b = l. Solve i*r = -b - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44\/(-20) + 2 + (-2 - 267\/(-135)). Which is the nearest to -2? (a) 0.11 (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/191*(-2)\/(-2). Let v = y + 404\/2101. Which is the second smallest value? (a) v (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 30726 = -q, 0 = 15*q - 18*q - u - 92157. What is the hundreds digit of (-5)\/(-2)*q\/(-150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*i. Suppose -2*z + 0*z + 10 = i. 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 t be (-7 - 145\/(-20))*-4. Let a be 20\/40*2*t. Put -0.073, a, -3\/4 in increasing order.\nAnswer: a, -3\/4, -0.073","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.44 - 4.04. Which is the smallest value? (a) 1 (b) 5\/6 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60252314 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8. Let c be (6 + -8)\/((-1)\/q). Is ((-116)\/(-8))\/(c\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 441*y**2 - 64827*y + 3176523.\nAnswer: -(y - 147)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, 1, -8, 14, 529.\nAnswer: -8, -2, 1, 14, 24, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32272 or -32268?\nAnswer: -32272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (6 + -8 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2981 * -29.\nAnswer: -86449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3. Let v(x) = x**3. Let j = -14 + 12. Calculate j*f(i) + 5*v(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1.3, 4, -26, -5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - ((sqrt(114) - sqrt(114)*1) + sqrt(114))*-3) - sqrt(114))\/(sqrt(294)*1 + sqrt(294)).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2 - 3 - 4*q + 2 + 4*q. Does 11 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.2 + -18.02. Let d = -0.12 - j. What is the nearest to -0.1 in 0, d, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -36 (c) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -18, -31, -44?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/12 - g**3 - 9*g**2\/2 + 5*g. Determine q, given that t(q) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/37 in 410\/7, 39, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -46.2. Let w = 0.2 + i. What is the third smallest value in 3, 6, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46237 and 0.1.\nAnswer: -46236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c - 57*c = 916. Let r = 338 + c. List the prime factors of r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 283 + 255 = 234 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + -8 + 3 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 145, 142, 133, 118, 97?\n\"Answer: -3*m**2 + 12*m + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4205\/50 - (-3)\/(-5). Let h = c - 82. Calculate the common denominator of h and -9\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/15 - (-24)\/40. Suppose c - 5*c + 13 = 3*y, p*c - 3 = 0. Suppose y*s = 6*s. Solve -i + 4*l + 6 = s, i = -4*l - 3 + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 13) to base 6.\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*j - 493*j = -4*s + 18, -4*j + 28 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31968901 to the nearest integer?\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 - 39*q + 13. Let g be p(-8). Solve -2*z - 3*j - 13 = -0*z, -g*z = 4*j + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*m + 19, s = -m - 2*s - 28. Let i = -12 - m. List the prime factors of -98*(-6)\/4*i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147433 divided by -67.\nAnswer: 147433\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-21 + 34 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(168)*-2)\/(sqrt(80)\/(sqrt(10) + 1*sqrt(10) - sqrt(10))))\/(1*(sqrt(567) + 2*sqrt(567)) + (sqrt(567) - sqrt(567)*-2)*6).\nAnswer: -4*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*i - 2*v, 0 = 6*i - 3*i - 5*v + 2. Sort i, -5, 0 in descending order.\nAnswer: 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 5*b**4 - 4*b**4 + (0*b**2 - b**4 + 0*b**2)*(2 - 2 - 1) + 0*b**2 + b**4 + 0*b**2 - 6*b**4 + 2*b**4 + 3*b**4 - 6*b**4 - 16*b**3 + 16*b**3.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4790028 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:14 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 1\/4*p**4 + 0*p**3 + 10*p**5 + 2 - 29\/2*p**2 - 22*p + 0*p**6 - 1\/21*p**7. What is the third derivative of r(f) wrt f?\nAnswer: -120*f**2 + 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-91) - 59\/((-5892861)\/(-75816))?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -33 + 17)\/((-3)\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4\/21)\/(-2))\/(12\/(-27)). Which is the second biggest value? (a) 0.4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1020 + -1023. Put 2\/3, y, 0.52, 3\/4 in descending order.\nAnswer: 3\/4, 2\/3, 0.52, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96899 and 759?\nAnswer: 290697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/740 and -14\/43845?\nAnswer: 175380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/1631 + 1607\/6524. Is 4.75 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509792 (base 10) to base 15\nAnswer: -a10b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (69 - 79) + 19\/2. What is the fourth smallest value in -7\/3, 1, -0.4, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/55 and 131\/3640.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 20 + -16 + (-75 - -10)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193375 = 7*n - 193354 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 174700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 0 + 10 = o*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let s = 3.15 - 3.5. Let f = 0.55 + s. What is the nearest to c in -3\/2, -0.2, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11647*d**3 + 11573*d**3 + 26*d + 3 - 5 to the form u*d**2 + y*d**3 + m + i*d and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjdddjjadddddvdddd. Give prob of picking 2 j and 1 v.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 k when four letters picked without replacement from rkrkkr?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 t when four letters picked without replacement from lltlllltlllllllt?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + -6 + 4 - -3. Solve n = 6*n - 25, -o*n + 13 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/111940 and -113\/4632.\nAnswer: 671640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 13\/2, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 + 9*q - 1. What is the remainder when j(7) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322511033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 1959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 873498 to the power of 1\/2, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 12 = -4*x, 209 = -4*n - 3*x + 229 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/74 and -145\/48.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4692 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Suppose 2*p + 56 = h*p. What is the greatest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 1415333222?\nAnswer: 1415333232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -288*b**2*f**4 - 4*b**2*f - 11*b**2 + 3*f**5 - f**3 + f**2 wrt f.\nAnswer: -6912*b**2*f + 180*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501 + 505. What is the third biggest value in m, -0.03, 7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -863, 1077, -0.6, -2.\nAnswer: -863, -2, -0.6, 4, 1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and (-65)\/(-2 - (-6)\/4).\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19737, 19784, 19915, 20130, 20429?\n\"Answer: 42*w**2 - 79*w + 19774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a + 2667. Let c be x(-112). Calculate the greatest common factor of c and 976.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 2\/5, 0.026, -2 in increasing order.\nAnswer: -2, -1\/5, 0.026, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478402465 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 93644203 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9915031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -120. Calculate the least common multiple of 20 and 17 - -6*(-6)\/j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*-1*(29 - -1). Let q = -65 + r. Suppose 7*a = 2*a + q. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2611*y**3\/3 + 2804*y + 619. Differentiate c(w) with respect to w.\nAnswer: 5222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - -143. Suppose 0 = 174*v - x*v + 320. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 2, 5, -4.\nAnswer: -4, -3\/10, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7872 and -0.3?\nAnswer: -2361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*z - 69 = 197*z - 3*m, 283 = 12*z + 5*m for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 145, -1\/5, -0.124, -18, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 128025705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8914, 8916, 8918, 8920?\n\"Answer: 2*h + 8912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/49 and 74\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 32. Let s be o\/14 + 1*10\/14. Sort -1\/3, -3\/17, s in decreasing order.\nAnswer: s, -3\/17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 5*n + 16*n**2 - n - 4*n. Let z(x) = 8*x**2 - 7*x. Let v(o) = -6*t(o) + 11*z(o). What is the second derivative of v(a) wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53336 at least as big as 53339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2301 + -2300. Sort i, 0, 3.4.\nAnswer: 0, i, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(11)) - (sqrt(11) + -2 + 2).\nAnswer: 2*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 + 4915*t - 19657. What is i(4)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 7*z - 4*z)*(-5 + 2 + 2) + 0*z + 2*z - z + (75 - 11 + 29)*(-1 + 1 + z).\nAnswer: 93*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29013 - -29033. Suppose -10 - 20 = -5*j. What is the smallest common multiple of j and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*c + 65 - 21 = 0, -5*n + 2*c = -335. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-b - 2*b + 2*b) + 2*b - 3*b - b + b + 6*b + 0*b)*((3*b + b - 6*b)*(-4*b + 3*b + 0*b) - 8*b**2 + 3*b**2 - b**2).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 119*l**2 + 117*l**2 + 14 + (-57 + 55 - 142)*(-3*l**2 + 6*l**2 - l**2) in the form u + f*l + y*l**2 and give y.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1327554.8 and 40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1621050 by -3.\nAnswer: -540350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 618155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72533 is divided by 59?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dal when three letters picked without replacement from {l: 2, d: 1, a: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 650377.66999955 + -650375.77. Let d = -1.9 + r. What is d rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6 and 14\/644*(-188)\/8.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymmyhjmhjmthyuhhuuy. What is prob of sequence mtyy?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/21)*u\/u**(1\/5)*(u**1\/u)**(25\/2) assuming u is positive.\nAnswer: u**(74\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5564 - -5577. What is the remainder when 333 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 155\/(-4) + (-9)\/(-12). Which is greater: g or -40?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1064, -2012, -2964, -3920, -4880, -5844, -6812?\n\"Answer: -2*q**2 - 942*q - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 133*m + 2 + 63*m - 134*m + 3*m**3 + 20*m**5 wrt m.\nAnswer: 360*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5*3*4\/10)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/9856 and -61\/14080?\nAnswer: 98560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 r when three letters picked without replacement from rrrrdrdrrrrrrrrrrr.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -84*h - 502. What is the tens digit of b(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4100663166.\nAnswer: 2, 3, 97, 7045813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -227*q**2 + q + 6. Let f(m) = 3*m**2 - m. Let v(j) = -2*f(j) - y(j). What is the derivative of v(a) wrt a?\nAnswer: 442*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/21 + 316546*r**2\/21 + 596429190*r - 4175109846\/7 = 0. What is r?\nAnswer: -79137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*u**2 - 3 + 54*u**2 + 63*u**2.\nAnswer: -2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5\/4 - 935*v**4\/4 + 220881*v**3\/4 - 1086705*v**2\/4 + 648675*v\/2 = 0?\nAnswer: 0, 2, 3, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(120)\/(sqrt(18)\/sqrt(3)) - sqrt(20)) + sqrt(20) + 0 + -3)*3*-6)**2.\nAnswer: -3600*sqrt(5) + 8980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6\/7)*f\/(f*f**(1\/4)*f*f*f))\/(f*f**2)**(-10))**22 assuming f is positive.\nAnswer: f**(8283\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(68) + -5).\nAnswer: -25 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072059710?\nAnswer: 2, 5, 227, 472273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(6\/63 + 122\/42). Let i(y) be the second derivative of 0*y**4 + y + 0*y**5 + 0*y**2 + 1\/15*y**6 + m*y**3 - 1\/21*y**7 + 0. Factor i(n).\nAnswer: -2*n**4*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-330)*-9)\/((-6)\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 0 (b) 174 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189641927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(6\/(-4)))\/(-7). Let a be 1\/3*(57 + 3). Suppose -4*n = -20, -a = 4*l - 5*n + 5. Is w != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382\/(-2865) + 1660596\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -1112?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, and 1 x when three letters picked without replacement from nrjxj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(6916\/65)*(-148)\/2035.\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2013042 (base 7) to base 11\nAnswer: 153423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8174 (b) 2\/3 (c) 2\/19 (d) -2\/963 (e) 0.3 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 904864\/7 less than 129265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/9 and -23\/247395.\nAnswer: 742185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 410809*v**5 - 298003*v wrt v?\nAnswer: 8216180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/3 - y**2 - 5*y - 210. What is u(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*t + 38*t + 504. Calculate the smallest common multiple of t and 1256.\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, 7, -4, 4 in ascending order.\nAnswer: -14, -5, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*k = -37, 2 = k + 3. Let r = 10 + m. Solve r*i - 8 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 21\/2 (c) 1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52.352046ms?\nAnswer: 0.000014542235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t)\/t*t**(-1\/20))\/(((t\/t**(-2\/27))\/t*t)\/t*t*t*(t*t**(2\/7))\/t) assuming t is positive.\nAnswer: t**(-43129\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*j = 15, 9*j + 25 = -5*h + 4*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + (9 - (10 + -6)). Suppose -5*d = -2*d + 21. Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. Let i(p) = -p**2 - p**2 + 0*p**2 + 6*p**v + 1 - 5*p**3. Let n(z) = 11*z**3 - 9*z**2 - 2. Give -5*i(j) - 2*n(j).\nAnswer: 3*j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -217\/4. Which is the biggest value? (a) 0.2 (b) 8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -41*b + 45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -181488 divided by -796?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.74 - 5.74. Let j = -72.3098052 - -0.3075452. Let l = n + j. Round l to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3*z**2 - 4 - 1 + 2*z + 0*z**3. Let g be x(-4). Suppose -t + 0*s = -g*s + 7, 3*t - 5*s = -17. Sort 1, 5, t.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23403 divided by -20.\nAnswer: -23403\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 5 (c) -1\/8 (d) -5.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:41 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/10035 and 8\/135.\nAnswer: 30105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 5. Let o(d) = 4*d + 4. Let b(x) = 4*o(x) + 3*p(x). Suppose -3*t = 3*m + 9 + 3, 3*m - 44 = 5*t. Calculate b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54139638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000062248 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.033 - -13.033. Let h = 0.6 - 1.6. What is the biggest value in 0.5, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -141 (b) 1\/8 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**6\/72 - x**5\/40 + x**3 + 7*x. Let q(u) be the second derivative of c(u). Find the second derivative of q(g) wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 134*r**4\/3 - 107*r**2 + r + 150. What is the derivative of d(x) wrt x?\nAnswer: 1072*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5410452365.\nAnswer: 5, 1082090473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 891516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/((-9)\/(-36)) + 175\/180 and 95\/174?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2. Let w = -5 - -5. Let n(l) be the second derivative of w - 2*l + 0*l**2 + 1\/3*l**3. Give r(n(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*b**2)*(-1 + 1 - 2*b) + (2*b - 2*b**2 - 2*b)*(-b + 0*b - b) - 3*b**3 + 3*b**3 + 2*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 22*j. Suppose -5*b + 11 = v, -7*b - 3*v = -4*b - 9. Let w(h) = -5*h**2 + 0*h**2 + 4*h**2 + 4*h**b. What is o(w(d))?\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 36939 = 37011 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 3 + 4 = -32 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 5:25 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/2 - 1914*j - 1831698 = 0. What is j?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/12017 + -1\/61. Let z = r - -5137\/985. What is the common denominator of ((330\/40)\/(-1))\/(6\/(-20)) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5)*160\/(-144).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -65*m + 1724. Let z(y) = 96*y - 2569. Let c(b) = -7*q(b) - 5*z(b). Determine c(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -46. Let u(h) = 14*h**3 - h**2 - 4*h + 2. Does 19 divide u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(2 - (-715)\/2). Suppose -5*x + t + 913 = 0, i = x + 3*x + 3*t. Suppose -2*s = -2*r - 0*r - 76, -r = -5*s + x. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2736678 is divided by 109463.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 2, 3, 4, 66, 0 in ascending order.\nAnswer: -13, -4, 0, 2, 3, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0.1, 12, -5\/6, 78\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**4 - p**3 - 3*p**2 - 7. Let q(h) = 5*h**4 - 96*h**3 - 33*h**2 + 32*h - 54. Let s(u) = -q(u) + 3*r(u). What is the second derivative of s(j) wrt j?\nAnswer: -24*j**2 + 558*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*k + 75 = 5*p, -2*p - 2*k + 12 = 0. Which is greater: p or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.134, 0, -3, 4?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -26. Let j = -8 + k. Solve 6*v - 4*v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*k + 7*k + 15*k)*(-1 + 3 + 636*k**3 - 1538*k**3 - 420*k**3) to y + o*k + d*k**4 + c*k**2 + n*k**3 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220*g**3*m**4 + 19182*g**3*m**2 + 3*m**6 wrt m.\nAnswer: 5280*g**3*m + 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 12*o + 29*o - 23 - 14*o + 63 - 29.\nAnswer: 3*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w + 3*w**4 - 5*w**4 - 18*w**2 + 0*w - 2*w**2 + 3*w**4 to v*w**3 + o + q*w**2 + x*w**4 + d*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/60 + a**3\/6 + a**2. Let q(x) = 2*x**3 - 2*x**2 - x + 3. Let u = -131 - -69. Let m = u + 65. Calculate m*y(r) - q(r).\nAnswer: -2*r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -45*j + 530. Does 19 divide a(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/68 or -488?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104507*x - 52530 wrt x.\nAnswer: -104507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*p - 70*p + 198*p + 75*p**2 - 61*p + 6*p**2.\nAnswer: 81*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:09 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-4)\/1 - -1. Let b = 1 - a. Solve u + b = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*o - 38*o - 10*o**3 - 4 wrt o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 3. Let d(g) = 175*g**2 + 69*g + 12. Let t(q) = -4*b(q) - d(q). Let v(l) = -8*l**2 - 3*l. What is -6*t(k) + 130*v(k)?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1408718*h**2 + 4*h - 852598 wrt h.\nAnswer: 2817436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 6 = 0. Which is the closest to 1\/2? (a) 0.2 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l. Let g be r(0). Suppose -12 + 2 = -5*o. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*i = -3384, -2*u - 2*i - 828 = -3084. Let h = u + -186. List the prime factors of h.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 23 + 8245*v**3 - 65 - v**2 + 0*v**2.\nAnswer: 8245*v**3 - 2*v**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4095*z + 4095*z - 47*z**2 to the form i*z + h + j*z**2 and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52856, 0.4, -4, 0.5 in descending order.\nAnswer: 0.5, 0.4, -4, -52856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/16 of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116843 + 62614. Let j = a - -54229.090361. Let h = -0.0898 + j. Round h to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 3. Suppose 9 = 5*m - 2*m. Let b be 6\/m - (-2)\/(-1). What is f(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 10*a**2 + a**2 + 16*a**2 + 58*a**3.\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from yssnoyjsfysfnyo?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 32, 5\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/(-12))\/((-2)\/(-172)). Let t = -133 + b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2904 and 2904?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 3, t: 4, j: 5}. What is prob of picking 2 t and 2 j?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1063 - 1066. Let y = -116295\/8 + 14600. Let n = y - 63. Which is the closest to j? (a) 5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p + 2)*(5*p**2 - 4*p**2 + p**2) - 3*p**2 + p**3 + 3*p**2 + (p**3 + 2*p**2 - 2*p**2)*(-1 - 2 + 1) + 3*p**3 - 4*p**3 + 2*p**3 - p**3 - p + p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16537, 66947, 151227, 269371, 421373, 607227, 826927, 1080467?\nAnswer: 1367841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**4)\/d**(-3))\/((d**1\/d)\/(d\/(d*d**(-2\/9)))) assuming d is positive.\nAnswer: d**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/19)\/(t*t**(-1\/3)))\/((t\/t**(-5\/6))\/t*(t*t**8*t)\/t) assuming t is positive.\nAnswer: t**(-397\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 21 = 3*q, q - 49 = -48 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-371)\/(-1272)*(60\/49)\/30?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qnnqqnqqnqqn.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (20 + -20 + (3 - 4 - -7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.471 + 810.471. Are z and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2. Let n be a(2). Suppose 5*q = -6 + n. Suppose -9 = -t + 4*x, -q*t - 9 + 27 = -3*x. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 15*l**4 - 2197*l**3 - 178*l**2 + 14*l + 10 wrt l.\nAnswer: 60*l**2 + 360*l - 13182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -74688*u**4 - 55248*u**3 - 13428*u**2 - 1023*u + 12 = 0.\nAnswer: -1\/4, 4\/389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:25 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(245) + 2)**2 + -1 + sqrt(245) + -3.\nAnswer: 91*sqrt(5) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8518227 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176*b*g**4 + 29*b*g**2 - 2*b - 328*g + 6 wrt g.\nAnswer: 2112*b*g**2 + 58*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((242\/(-2541))\/((-1)\/(-18)))\/((-3)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2296 or -2297?\nAnswer: -2297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:39 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {l: 5, s: 1, u: 1, o: 1, c: 1, f: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -131 (c) -0.4 (d) 7\/5 (e) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194647941?\nAnswer: 3, 2403061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + 34106?\nAnswer: 34022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 6*m**2 - 5*m - 5. Suppose -3*r = s + 10, -4*r - 5*s = -0*r - 5. Let h be z(r). Which is the nearest to -2\/3? (a) h (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37942 + 341486\/9. Factor -s*o**2 + 0 - 2\/9*o**3 - 8\/9*o.\nAnswer: -2*o*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*x - 2. Suppose 3*s = -x*s + 30. Put s, 1, -2 in decreasing order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -818 - -6553\/8. Find the common denominator of h and 318\/66 + -5 + 1910\/(-1716).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 12445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 13*y + 22. Determine b(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = -10. Suppose 3*y = -h*x - 13 + 1, 3*y = -4*x - 12. What is the second smallest value in 0.2, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -29, -4 in descending order.\nAnswer: -4, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 5254\/657?\nAnswer: 5254\/657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, f: 1, u: 6}. What is prob of picking 4 u?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5968441?\nAnswer: 853, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - -0.28. Let y = -9\/247 - 147679\/741. Let t = 200 + y. Which is the biggest value? (a) -4 (b) t (c) -0.01 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23079085, -46158185, -69237285, -92316385?\n\"Answer: -23079100*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*x**3 + 104*x**3 + 135*x - 15 - 131*x.\nAnswer: 349*x**3 + 4*x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 49255*d - 22854900.\nAnswer: 5*(d - 10295)*(d + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 5*r - 56*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*q - 61*q - 4*q**2 + 114*q + (q - 1 + 1)*(-3 + 2*q + 3) - 3*q**2 + 3*q**2 + q**2 + 4*q - q**2 - 4*q.\nAnswer: -2*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-464)\/(-56)*(-3)\/(-3) and 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274.1 + 274. Put j, -2, 20, -1 in decreasing order.\nAnswer: 20, j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*o + 0)*(-2 - 1 + 1 + 1 + 1 + 0 + (-3 + 2 + 3)*(-4 + 1 + 1) + 2 - 2 + 1 + 3 - 4 + 0).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196.553 - 0.09.\nAnswer: -196.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a2090 + -176?\nAnswer: -7a2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -10. What is the least common multiple of g and 106\/9 - 12\/(-54)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18893.78 and -1.\nAnswer: -18893.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.4 + 12. Let y = n + -0.568. What is y rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1208 divided by 2\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1032167718 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 333. Let d(y) = -13*y + 1001. Give 3*d(m) + 10*g(m).\nAnswer: m - 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 12, 4*b - 703 = -3*p - 2*p. Calculate the greatest common divisor of p and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3173177124?\nAnswer: 2, 3, 13, 41, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77124*r - 298317*r - 669796*r.\nAnswer: -890989*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11653 times 0.17\nAnswer: -1981.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.107511743 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let c(i) = 6*i - 15. Let l(x) = c(x) - 4*w(x). List the prime factors of l(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189390 < 189475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -12) + 58\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346635*q**3 + q - 29916.\nAnswer: -2079810*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -1.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/y**(-4)*y))*y*y**4)\/(y**1*y*y)**(-6\/29) assuming y is positive.\nAnswer: y**(366\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 773.04611 * -0.4.\nAnswer: -309.218444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 19*w**2 - 3*w. Let u be x(2). Suppose u + 38 = 4*y. Let i = -19 + y. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 187454, 749825, 1687110, 2999309, 4686422?\n\"Answer: 187457*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 5 = 17*j. Suppose 0 = 9*z - j*z + 24. Is z\/9 + 1724\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-78))\/(2\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-765))\/(-6*(-33)\/(-220))?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 38524515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49723 or -348056\/7?\nAnswer: -348056\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 296 divided by 83\nAnswer: 296\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:26 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -6 + (29 - -66) + -31?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 + 12*d**2 + 12*d + 7. Let r(k) = -k**3 + k**2 + 2*k + 1. Give 2*g(t) - 14*r(t).\nAnswer: 2*t**3 + 10*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -11.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89 from -3.4.\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 797*x\/5 + 45990.\nAnswer: -(x - 225)*(x + 1022)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -91095 divided by 5\nAnswer: -18219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 - 4*q**3 + 2*q**2 + 4671*q**4 - 4575*q**4 to y*q + n*q**2 + u*q**3 + l*q**4 + p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 5. Suppose 2*c - x + 5 = 5*s, 5*c = -s + 44. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*a - 3852 = -2*a + 178*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 34, 2\/11, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/444 and 56\/13785?\nAnswer: 2040180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28608 + -27731. What is the remainder when p is divided by 177?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.41 (b) -0.1 (c) 3 (d) 0.3 (e) -1\/11 (f) 40 (g) -1751\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450646 is divided by 496.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 84. Let l = n + 61. Suppose -7*d + 2*d = -25. Sort -1, d, l in decreasing order.\nAnswer: d, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280952 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 + 38 - 38) + 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 36, 27, 2, -45, -120, -229, -378?\n\"Answer: -u**3 + u**2 + 5*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 2 + (0 - 5 + 3)*(2 + 4 + 1))*((-2 + 2 + 1)*(5*i + 0*i - 2*i) + (i - 7*i + 3*i)*(7 - 2 - 3) - 9 + 9 - 59*i) to the form y + q*i and give q.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - 4.2. Let p = s - -5. What is the nearest to 0.1 in -4, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s**2 + 9*s - 9. Let l(c) = -c**2 + c - 1. Determine 9*l(v) - w(v).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1729, -2696, -3663, -4630, -5597?\nAnswer: -6564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 2*k**3 + 5*k**3)*(-670*k + 2006*k - 676*k - 662*k + 6420).\nAnswer: -4*k**4 + 12840*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -25, 0 = -4*v + 3*v + 5*a - 16. Solve 2*t - v = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.033, -2, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12585, 25171, 37757, 50343?\n\"Answer: 12586*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 1197 + 2*j**2 + j + 1153 - j - 3*j**2 as t*j + u*j**2 + f and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/60 + 3*z**4\/8 + 7*z**3\/3 - 7*z**2. Let k(j) = 3*j + 1. Let i be k(3). Let t be s(i). Solve -t*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2))\/(3\/(346 + 5)). Suppose -12724*t + 195 = -12723*t. Calculate the highest common factor of t and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/6 - 35*m\/6 - 5.\nAnswer: -5*(m + 1)*(m + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n. Let q(c) = 12*c. Calculate j(q(z)).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 172, 265, 358?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -61\/4 (b) 1.145 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54595 is divided by 709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 352373.9 minutes?\nAnswer: 21142434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/27? (a) -5 (b) 63 (c) -2.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -10. Let v = 349 + -1045\/3. Let q = -3.5 - -4. Which is the biggest value? (a) v (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i - i**2 - i**2 + 4*i**2 - i**2 + (-5*i - i + 5*i)*(76*i - 12*i + 7*i) to v*i**2 + z*i + f and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78.2 + 78. Let d = 398 + -406. Which is the third smallest value? (a) d (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137861, 275734, 413609, 551486, 689365?\nAnswer: 827246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:47 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 28*g**2 - 397*g - 125. Is h(36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 20*b**2 - 5*b**2 + 25*b**2. Let j = -699 - -701. Let q(k) = -10*k**2. Give j*g(z) + 9*q(z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 251 and 250 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99946073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469127.\nAnswer: 3, 11, 44519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 10:52 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -37. Let q(i) = 2*i**2 - 3*i - 6. Let r be q(h). Find the third derivative of 13*l**2 + 0*l**5 - 24*l**2 - r*l**5 wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 - 3*b + 3. Let f(d) = -1 - 4*d**2 + 9*d**3 - 5*d - 9*d**3 - 2*d**3 + 6. Let r = -9 - -6. Determine r*f(q) + 5*m(q).\nAnswer: q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -164370531.3.\nAnswer: -164370526.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -35128\/7 greater than or equal to -5017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 1\/3*c**3 + 2*c**2 + 2*c + 2. Suppose 5*i + 138*v - 133*v - 5 = 0, -5*i - 2*v = 4. What is q(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.7 + 11. Which is the second smallest value? (a) -0.16 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-30)*((-539)\/245 + (-842)\/(-360)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 145. Which is the nearest to 5? (a) d (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/5 (b) -0.3 (c) 33 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9097354 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-733 - -727)*(-25)\/(-3). Put 0, -4, n, 5, 1 in descending order.\nAnswer: 5, 1, 0, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*(-18)\/(-33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5\/3 - 6826*h**4\/3 - 23293642*h**3\/3 - 16529007872*h**2\/3 + 11042641323*h - 5525205210 = 0?\nAnswer: -1323, 1, 9470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4994693 is divided by 78042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8932*r + 6595*r - 4 + 3.\nAnswer: 15527*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18014*b**2\/3 + 24949391*b\/3 - 1385\/3 = 0 for b.\nAnswer: 1\/18014, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**6\/24 - d**5\/10 - d**4\/16 + d**3\/6 - 1. Factor r(k).\nAnswer: k**2*(k - 2)*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 13502.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/5 + (-34)\/(-85). Solve -11*v = -9*v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 64*s + 2002. Let z be r(-24). Solve -462*w + z*w - 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -42*r**3 - 36*r**2 + 6261*r + 6259. Give b(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 13*k - 28. Let a be b(-15). Suppose 2 = -5*t + a. Solve t = q - 2 - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1164.265903 rounded to zero dps?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {g: 7, h: 8, t: 2, a: 3}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5*o**2 - 5 + 2*o**3 - 4*o**2 - o**4 - 4*o + 11 in the form n*o**2 + j*o**3 + b*o + x + v*o**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012, -1010, -1006, -1000, -992?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48678 + 404*b**3 + 48678.\nAnswer: 404*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9435 = p - 19254, -28691 = -p - 3*d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -77*-0.1\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100002 (base 3) in base 2?\nAnswer: -11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - -1397696?\nAnswer: 1397720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -231 + 114 + 0*u**3 - 33*u + 116 - 3*u**3 + 2*u**3 - 7*u**2 in the form b*u + l*u**2 + k*u**3 + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 913*s**2 + 17*s - 15. What is the hundreds digit of v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -75. Is 60 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 77, 88, 101, 116?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/15 + 1 + 16. Let q be (-8)\/(-3)*(-4 - (-119)\/d). Calculate the highest common divisor of 28 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127477391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o - 4. Let g(k) be the third derivative of -3*k**4\/8 + 5*k**3\/6 - 9*k**2. Let z(u) = 4*g(u) + 5*m(u). Let j(t) = -t. What is z(j(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28731205 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17192 and 8596.\nAnswer: 17192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 0*v = -23. Which is the nearest to 1? (a) -3 (b) 8 (c) -2\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598492.07 times 4?\nAnswer: -2393968.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 + 3 = 0. Let r(u) = -11*u - 1. Let j be r(f). Suppose -4*z = -2 - j, -2*z = -3*h + 141. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**6\/1080 + o**5\/45 + 2*o**4\/9 + o**3\/6 - 7*o. Let k(v) be the second derivative of i(v). Factor k(d).\nAnswer: (d + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 20*m - 7. Let f be n(5). Suppose -314 = -4*l - f. Let p = -45 + l. Solve 0 = -5*a - 4*b + 10, -4*a + p*b = 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**4 - l**3 - 1. Let u(b) = b**5 - 4*b**4 + 6*b**3 - 2*b**2 - b + 6. Suppose -2*q - 7 - 5 = 0. Let k(z) = q*h(z) - u(z). What is y in k(y) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgxsgmeexmmxmemx. What is prob of sequence emx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.11 - -0.89. Let u = -109 - o. Let a = u - -113.1. Do 46 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 21, 24, 27, 30, 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**2 + 377064*o + 118576710 = 0.\nAnswer: -188217, -315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w\/((w**(-2\/7)*w)\/w))))**23*((w**(-3\/4)\/w)\/w)\/(w**(2\/11)*w) assuming w is positive.\nAnswer: w**(22065\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 82*k - 0*k - 30*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 608774166 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1\/4, 2\/5, -0.44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30846 and 3498?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 84786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 363563023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*l = -14, 0 = -x - l + 22 - 15. Suppose -3*s = -2*s - 6. Solve s*d - x = -37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + -9 + -1*3. Let x be (-5)\/(5\/(10\/(-6))) + y. What is the second biggest value in x, 5, 3\/7, -3\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(896) + sqrt(896)))\/(sqrt(84)\/(sqrt(48)\/sqrt(4))*5).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -44. Suppose -4*j - d*x = -7, j = x + 1 + 3. Suppose -2*g - 5*q = 15, 5*q - 10 = -3*g + 4*q. Solve -j*s = -g*z + 16, 4*s + 1 + 1 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 2*m**3 - 10*m**3 + 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22792.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.06 - 5056.3.\nAnswer: -5055.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 1239991.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 64*d**3 - 22336*d**2 + 13*d - 4539. What is t(349)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/234 and 31\/166.\nAnswer: 19422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1869*v**2 - 18 - 1867*v**2 - 64 as c + k*v + g*v**2 and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 4*n**7\/105 - n**3\/2 - 2*n**2 - 7. Let y(w) be the second derivative of f(w). What is the first derivative of y(h) wrt h?\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7112799 * 5.\nAnswer: -35563995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145 at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 6, 2*q + 2*y = 5*q - 15. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 11) to base 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1261+-217\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 4*s + 7*s - 10*s + 5*s to o + i*s and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27938 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13937187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 46875*c**5 - 13357875*c**4 - 81849363*c**3 - 125374545*c**2 - 3949344*c - 31428 = 0.\nAnswer: -3, -2\/125, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1850513452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 5. Let f = 0 - -1. What is the remainder when f is divided by a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) + 208\/36. Suppose 0 = -3*o + o + g. Suppose 0 = -2*q - 3*c - 9 + 30, o*q + 2*c - 34 = 0. Round q to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 - 11*o - 2. Let s(l) = 7*l**2 - 10*l - 2. Let i(g) = 6*p(g) - 7*s(g). Let r be i(4). Let y = 6 + r. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*((sqrt(605) + (-2 + sqrt(605) - sqrt(605)) - sqrt(605)) + -1) + (-2*sqrt(605)*-6 + sqrt(605) - -2*(sqrt(605) + -1))))**2.\nAnswer: 47520*sqrt(5) + 4901076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 5. Suppose 0*r = -3*r - 15. Let o(b) = -3*b - 9. Let w(s) = r*m(s) - 2*o(s). Suppose q = 4*q. Calculate w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -295.075863?\nAnswer: 295.175863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c + 48. Let h be v(9). Let a be ((-100)\/15)\/(-10)*h. Solve 0 = -5*k + 3 + a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5, -6*s + 9*s - 35 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 480 = -22*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 6 (c) 2605 (d) -2\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wccw when four letters picked without replacement from cwwwc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019354 rounded to 6 dps?\nAnswer: 0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 - -2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 211?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.26 + 1.74. Which is the second smallest value? (a) -9 (b) t (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 + 2452*r + 155638. Calculate c(671).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-12))\/(4\/(-6)). Let o(k) = 11 - y - 3 - 2*k. What is o(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*f + 3*m - 4, 4*f - m - 61 = 0. Suppose -f*p = -18*p + 105. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 807.95 + -808. Let u = 6 - 5.7. Let r = u + -0.2. Sort 5, r, l.\nAnswer: l, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -39*f**2 - 12*f - 13. Calculate m(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59752 is divided by 120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from ddrrdddddmoo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -118. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/336260341 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 5*f + 4*v, -53*f + v - 1 = 47*f + 51*f - 143*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828561688.\nAnswer: 2, 2383, 95917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**3 - 40*q**2 - 51*q + 1103. What is g(-7)?\nAnswer: 2244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giggssissigggsisse. Give prob of sequence iii.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/116591552 and -45\/282304.\nAnswer: 116591552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3020, -24, -4, 3 in descending order.\nAnswer: 3020, 3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -36, 4\/5, 1\/3, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -918, 0.09, -5, -1\/7?\nAnswer: -918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*n + 7 = -0*f, -16 = -2*f - 4*n. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/75, -0.41, -0.1 in decreasing order.\nAnswer: -1\/75, -0.1, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**3 - 28*z + 9*z**3 + 1 + 28*z + 621*z**4 - 625*z**4 - 111*z**2 wrt z?\nAnswer: -96*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.121 + -0.079. Let c be (-2)\/(-8)*(8 - 2). Let r = -1 - -1. What is the nearest to 1 in q, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 2\/(-3 - 11). Let l = -11\/7 - n. Let t be 2\/(-6)*(-2)\/6. What is the third biggest value in t, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341846336 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8049 and 113.\nAnswer: -909537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlwrwwrwrrllw. What is prob of sequence wrlw?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*f + 164*f + 2*a + 186, 0 = 3*f + 2*a + 136. Put -36, f, -4, 5 in decreasing order.\nAnswer: 5, -4, -36, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + p)*(108*p**3 + 74*p**3 - 11*p**3).\nAnswer: 171*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 30084?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + 2) - (-1*sqrt(91))\/sqrt(7).\nAnswer: -4*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4991, 10053, 15173, 20357, 25611?\nAnswer: 30941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -842 - -1652. Suppose -3*v - 14 = 1, -2*v = -5*u + s. What is the greatest common factor of 64 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 438*m - 82. Let j(d) = -107*d + 21. What is -3*b(f) - 13*j(f)?\nAnswer: 77*f - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 56847 = -25599. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 33*v + 27. Let n(l) = 100*l + 82. Let a(f) = 4*n(f) - 14*w(f). Does 20 divide a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + 2 = -b, -5*b + 10 = 5*f. Suppose 20 = 8*w - 4*w - 4*v, f = w - 2*v. Suppose 0 = -w*u - 0*u + 1384. What are the prime factors of u?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/30, 0.4, -3, 2\/3, 192, -0.27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-4494)\/(-18). Let m = -20 + d. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 806599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3611128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1185, 4799, 10839, 19305, 30197?\n\"Answer: 1213*l**2 - 25*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 5, i: 2, j: 2, x: 4}. What is prob of sequence xici?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Let d(b) = 2*b**2 + 3*b + 1. Let v = 9 - 11. Let u be d(v). Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12*-4*-9. Let g be (-8)\/(-12) + 4 + (-4)\/6. Suppose 0*k = k - 4*f + 6, 0 = -5*k - g*f - l. Let s(v) = -2*v**3 - v**2 + 2*v + 1. Give s(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 167 + 9215*g**2 - 9217*g**2.\nAnswer: -2*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 23*h + 3 = 0. What is the common denominator of 9\/106 and (-170)\/(-24) - (-3 - h)?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1920*y + 2749*y - 530*y + 1 - y - 1 - y + 2*y + 0*y + (1 - 3 + 4)*(-1 + 1 - y))*(1 + 2 + 7*y**2 - 5*y**2 + (2*y - 4*y + 3*y)*(6*y - 3*y - 2*y)).\nAnswer: 12411*y**3 + 12411*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 12*f - 141.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 60, 92, 136, 198, 284, 400?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.01 (b) -0.019 (c) -18 (d) 1441 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 264445.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*x**2 - 2*x**2 + 5*x**2 + 0*x**2 + 3*x**2 - 4*x**2 + x - x + x**2 - 2*x**2 + 4*x**2 + 0*x**2 + (x + 3 - 3)*(-4*x + x + 2*x) + 7*x**2 - 3*x**2 - 2*x**2.\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 - 48. Let d(c) = 2*c + 9*c - 22*c + 5*c. Calculate d(z(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*c = -776*a + 777*a - 1 - 64, -2*c + 6 = 0 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 5. Let z(v) = v - 9. Calculate 5*q(b) - 2*z(b).\nAnswer: 3*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 15*r + 8 = -11*r, -3*v = 3*v - 2*r + 56 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.01 (b) -4 (c) 7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/7 and -31\/1843?\nAnswer: 12901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 94496.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1193 and 1194 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -561.71 times 296?\nAnswer: -166266.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 2*p**2 - 1. Let y be b(1). Let t = 4 + y. Solve 3*k + 4*i = 9, -3*k + 2 = -3*i - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/570 and 139\/10146.\nAnswer: 50730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 1268355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/10 - 1721*x**3\/10 + 493353*x**2\/5 - 94065398*x\/5 - 94559612\/5 = 0. What is x?\nAnswer: -1, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1801)\/(-63) - (-63)\/(-441). Determine c so that -1060\/9*c**4 - 700\/9*c**5 - f*c - 64\/3 + 2240\/9*c**2 + 432*c**3 = 0.\nAnswer: -3, -2\/5, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 16, 1\/3, 57 in ascending order.\nAnswer: -105, 1\/3, 16, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.41 to zero dps.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from vqvqvhqqqvqqhvfqvh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**28*f**16)\/(f**30*f*((f\/(f\/(f*f*f**(-20)\/f)))\/f)\/f) assuming f is positive.\nAnswer: f**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 20b796a7?\nAnswer: -20b796a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65901, -131643, -197387, -263133, -328881, -394631, -460383?\n\"Answer: -g**2 - 65739*g - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436 - 1006*m**3 - 128 - 131 - 176 + 885*m**3.\nAnswer: -121*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 3*n - 2264, 0 = -5*p - 2*n + 2249. What is the highest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525, 551, 593, 657, 749, 875, 1041?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/24 - z**2. Let d be v(2). Solve s = -s - 5*r - 23, -2*r - d = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 2, k: 2, b: 4, x: 2, q: 3}. Give prob of picking 2 k and 1 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 2)*(-4*u + 6*u + 0*u + (3 + 1 - 3)*(4*u - 3*u + u)) + 2*u + 11*u + 4*u + 3*u + u - 2*u + (u - 2 + 2)*(-2 + 4 + 0) + 5*u + 2*u - 3*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:13 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = 1. Let x(h) = -472*h + 1419. Let n be x(3). Put -1, j, 7, n in descending order.\nAnswer: 7, n, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b**4*o**3 - 2576*b**4 - 282299*o**3 wrt b?\nAnswer: 40*b**3*o**3 - 10304*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 16, 4\/3, 5\/7, 3106\/7 in descending order.\nAnswer: 3106\/7, 16, 4\/3, 5\/7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**8\/7 - 2*q**4\/3 + 4*q. What is the third derivative of l(w) wrt w?\nAnswer: 960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11226, 13171, 15126, 17097, 19090, 21111, 23166?\n\"Answer: v**3 - v**2 + 1941*v + 9285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16571 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 - -214a1c?\nAnswer: 2149d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(567) + 2*sqrt(567)) - -4*sqrt(567)*5)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 4*t**3 + 9*t + 3*t**3. Let p(i) be the second derivative of -7*i**5\/10 - 7*i**3\/3 - 37*i - 3. Calculate -8*b(k) - 5*p(k).\nAnswer: -2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.99 + 0.01. Let z = -2108658\/27335 + -6\/3905. Let r = z + 77. What is the second smallest value in -5, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2799, 4018, 5247, 6492, 7759, 9054, 10383, 11752?\nAnswer: 13167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 0 - (-90 - (2 + -9 + 1))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 44*b**3 + 15*b**2 + 35*b + 67. Is h(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-3 - -6))\/1. Suppose -395 = -q*n - s, 0*n + 4*n - 3*s = 765. Suppose 0 = -4*v - v - n. Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14491079*q**2 + 19896226*q.\nAnswer: 28982158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0 (b) -3\/7 (c) -1.9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 1, u: 2, q: 4}. Give prob of sequence uuzq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 9*i**2 - 9*i - 11. Let h(k) = k**3 + 5*k**2 - 5*k - 6. Let p = -24 - -13. Give p*h(c) + 6*j(c).\nAnswer: c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 0*f + 0*f**3 + 0 - 3\/20*f**5 + 1\/4*f**4 - 10*f**2. Find the second derivative of x(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 3*r**2 + 7*r + 4147. Calculate f(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046679 is divided by 209332.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/11377, 162, -2\/7?\nAnswer: -10\/11377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c + 126ca6?\nAnswer: 127025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2\/12377, 0.94?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + 1 + p - 72*p**4 - p**2 - 6*p**3 + 70*p**4 + 2*p**3 to the form v*p + k*p**3 + f + o*p**2 + l*p**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168896 = -814*p - 1042*p for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (5 - 7) - -10) + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688 is divided by 372?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 600.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 626.236 litres?\nAnswer: 626236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-6)\/(-9))\/((-2)\/(-81)). Let r be (25 - b)\/(0 + -2*1). Let w(h) = -77*h + 2 - 75*h + 159*h - 3. Calculate w(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) 2\/7 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -709765 (base 12) in base 5?\nAnswer: -422232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Let q be 93\/(-5)*(-5)\/1. Suppose -o*h = -h - q. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 2*g**2 + 4*g**2 to f*g + n + p*g**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, h: 2, r: 1, g: 1, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 14*i**2 + 16*i - 17. Let g be z(15). Let u(j) = 5*j**3 - j**2 - j + 1. Calculate u(g).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -4, -8, -24, -58, -116, -204?\n\"Answer: -i**3 + 3*i**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 50*g - 213. Let x be b(45). Let f(j) = 17*j - 208. Calculate f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11086 or -11087?\nAnswer: -11086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 25.5. Let y = 1 + 2. Which is the fourth biggest value? (a) y (b) t (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438\/(-511)*(-2 - (-50)\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:25 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325366 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(500)*1).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 999 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 2. Let a(r) = -7*r - 41. Let n be a(-13). Let g be 8\/12 + n\/6. Give l(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-115)*23*((-2)\/(-3))\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -42, 5, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330.9623 rounded to 0 decimal places?\nAnswer: 4331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -7\/4*l**5 + 41 - 5\/4*l**4 - 35*l**2 + 1\/6*l**6 + 3*l + 115\/6*l**3. Factor n(t).\nAnswer: 5*(t - 7)*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-27))\/(-1*(-28)\/(-12)))\/(1\/(-259))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sexnj. Give prob of sequence xn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**6 + d**4 + 495*d**2 - d**4 - 514*d**2 wrt d?\nAnswer: 1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 2977 = 13. What is the lowest common multiple of 12 and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7406005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70075 = 1584*s + 665*s - 18348 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24780017 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.3 and 0.4.\nAnswer: 7.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3363 + 4366. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 13 = 4. Sort 0, 2, f in increasing order.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/80 + 11*(-9)\/(-495).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -871*0.001\nAnswer: -0.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18495378 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.397 - -0.43. Let k = i - 0.703. Let w = 0.37 + k. Which is the nearest to -0.1? (a) -1 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k + 1. Calculate the lowest common multiple of 2 and t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18940 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(28) + sqrt(28)*2 + (-4 + -1*sqrt(7) + sqrt(7) - sqrt(7) - sqrt(7)))**2 - (-1 + -1 + 3 + sqrt(448))**2.\nAnswer: -320 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6414007909.\nAnswer: 6414007909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/375)\/(2*(-5)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 78925, 21 in increasing order.\nAnswer: 21, 27, 78925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -129 - (4\/(-12) - 32\/12). Let i = 136 + t. Calculate the highest common divisor of 160 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26 + -0.29. Let o = i - 0.97. Let k = -0.12 - -0.42. What is the closest to -0.1 in k, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -733.\nAnswer: 9529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002496 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*g + 266*g - 323*g - 1 - 342*g.\nAnswer: -677*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4061046 and 999.\nAnswer: 36549414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeeeeeye. Give prob of sequence ee.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 622981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -34, -1\/4 in ascending order.\nAnswer: -34, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (15 - (-14 + 12 - -6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9089072 to the nearest one hundred thousand.\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27 - 15 - 4\/2. Suppose 0 = -6*g + d*g - 2764. Suppose y - 2*f - 373 = f, -2*y - 5*f + g = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804000913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1709*g**2 - 17*g - 81. Let c(u) = 427*u**2 + 4*u + 18. Determine -9*c(x) - 2*s(x).\nAnswer: -425*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 159 = -3*c, 119*c + 2*x = 116*c + 174. Solve -3*q + 31*q = c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6097331 = 5003301. Let o = 6675158 + f. What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 76*n - 326. What is s(-8)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olchcclhoggcl. What is prob of picking 2 h?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/1 + 224\/160.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1386 - 0.1\nAnswer: 0.0386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzbczzzcbczyzcvzcc. Give prob of picking 1 y, 1 b, and 1 c.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 132\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 16 = 0. Let v(n) = 2*n**2 - 2*n - t*n**2 + 7*n**2. Let g(m) = -3*m**2 + 9*m. What is 2*g(d) + 9*v(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14445*l**4 - l**3 - l**2 - 133883*l wrt l.\nAnswer: -173340*l**2 - 6*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 897 and 8763?\nAnswer: 113919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485806?\nAnswer: 2, 3, 53, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -464 (base 14) to base 11.\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7513858 is divided by 4937?\nAnswer: 4681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 14*f + 71. Is p(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 + 4 = 0. Calculate the remainder when (70 + a + 3)*1 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 1, u: 2, r: 1, o: 2}. What is prob of sequence buc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(216)\/sqrt(12)*5.\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64648103481 and -0.01.\nAnswer: 64648103480.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167*-0.51.\nAnswer: 85.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -10*x - 74520. What are the prime factors of x?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12022011031201 - -10?\nAnswer: -12022011031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -7736 in ascending order.\nAnswer: -7736, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 2*q**4 - 2*q**4 + (8*q + 4*q**2 - 8*q)*(1153*q**2 - 1153*q**2 + 36*q**3).\nAnswer: 145*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 2. Let u be (-25)\/4 - 20\/(-80) - -25. Let q = x + u. Solve c + 2*h + 0*h + 2 = 0, q = c - h - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33\/19 - -1096\/95. Find the common denominator of z and -2 + (-33)\/6 + (-1 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12454 + 29303 = -6681*m + 372*m - 15024 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 3. Let o = -521 + 524. Suppose z*x = v - 51, -15 = o*x + 2*x. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -19, 15.\nAnswer: -71, -19, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -37. Let y = r + 19. Suppose -22 + 2 = -y*m. Solve -4*f - f + m = -5*z, -f + 5 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(96) - sqrt(6)))\/(sqrt(30)\/(sqrt(3)*-2)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 7*x + x)*(-1 + 4 - 4) - 13*x + 5*x + 12*x - 4*x + 3*x + 2*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68, -128, -184, -236, -284?\n\"Answer: 2*o**2 - 66*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(sqrt(8)*-1))\/(sqrt(40)\/sqrt(80)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14. Let q = 107\/175 + -2\/175. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-841)\/(-58)*(0 + 0 + 22). Calculate the greatest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(208\/1248)*(-39)\/15?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 178. Let u = -85 + h. Suppose u*s + 1229 - 4088 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + a + 3 + a**2 + 0*a**2. What is b(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 0, -3*n + 5*o + 26 = 5. Suppose 3*j = -2*q - 11, -19 = -3*j + n*j + 5*q. What is the tens digit of ((-5 - -20) + j)*11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 10. Suppose 3*g = n + 19. Let j = 279 - 260. Calculate the remainder when j is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 259776 + 724344 = 41*m. List the prime factors of m.\nAnswer: 3, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33146100 and 140539464.\nAnswer: 3513486600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1)**2 + -4.\nAnswer: 8*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46840?\nAnswer: 2, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-3))\/((-10)\/(-45)*3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 7. Let d be 1 - (4 - (-57600009)\/u). What is d rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and 11\/614.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*-5*((1*sqrt(245)*2 - sqrt(245) - -1*(sqrt(245) + -1))**2 - (3 + (1*sqrt(245))**2 - (sqrt(245) + 1 + 0))).\nAnswer: -1050*sqrt(5) + 36700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or 1910\/17?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5\/(k\/(k\/(k\/(k*k\/k**5)))*k))\/(k**(-1\/4)\/k*k*k**0))**(-6) assuming k is positive.\nAnswer: k**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r - 39. What are the prime factors of s(13)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19692 = 94*s + 20256 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2147 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 4*w**3 - 4198 - 13*w**3 + 4200 - 20*w. What is the derivative of o(j) wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1824 - 2307*w + 1824.\nAnswer: -2307*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336562.\nAnswer: 2, 168281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, 0.075, -0.4, 12?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.23, 0.2, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465.832 years to millennia.\nAnswer: 0.465832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 200.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + (-485)\/(-10). Let o = w - 112. Is 15 a factor of -3 - o\/(2\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 - 10*t**2 - 13*t**2)*(14 + 47*t**2 + 67*t**2 - 115*t**2 - 7*t) to the form h*t**3 + l + j*t**4 + b*t + m*t**2 and give h.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-18)\/20)\/((-162)\/324).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 greater than -1.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13183631 to the power of 1\/2, to the nearest integer?\nAnswer: 3631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = 10*q - 2*q - 176 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -9. Let a(m) = -m**3 + 21*m**2 - 20*m - 5. Is a(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*y = 178*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -61*x**2 - 413*x - 63. Determine t(-7).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 72193.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, -59, 4\/101, 5, -1\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 52 = -3*g. Let r(u) = 6 + 5 - g*u**2 - 2 + 27*u**2. List the prime factors of r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.3 - 2.7. Let a = -42.12 + 32.4. Let d = j + a. What is d rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in 3.18, -0.1, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 16\/3*d - 4 - 1\/3*d**3.\nAnswer: -(d - 2)*(d - 1)*(d + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 89?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/5)\/(8\/4))\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 16. Suppose -r*t + 173039 = -26961. What is t rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Let v = 30 - f. Suppose -v = -2*w + 13. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19*j**3 - 2*j**2 - 7. Let m be d(3). Let b = m - 484. Solve -3*a - b*s + 2 = 9, s - 1 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*h + 7 = -l, l + 9 = 5*h. Let y(q) = l - 1 + q. Let r(x) be the third derivative of x**4\/8 - 6*x**2. Determine y(r(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 28*s + 1478. Determine p(35).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0, -3, -43, 9 in ascending order.\nAnswer: -43, -39, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 9*p. Let y be (-9)\/3*1*-6. What is the first derivative of y*j**4 - 6*j**4 - p + 7 wrt j?\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/3 - 38*b**4 + 1961*b**3\/3 + 26972*b**2 - 27588*b = 0?\nAnswer: -19, 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a2d128 - -11?\nAnswer: -4a2d117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9930 and 88827160.\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m - 4*w = -58, 5*m + 93 = 3*w. Suppose 90 + 48 = 6*o. Let x = m + o. Solve 0 = 5*n - 0 - x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/24 + (-4)\/6. Let k(v) be the third derivative of -4\/105*v**7 - 7\/60*v**5 - 1\/24*v**4 + 0 - 7\/60*v**6 + v**a + 0*v**3 + 0*v. What is f in k(f) = 0?\nAnswer: -1, -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -18, -19, -20?\n\"Answer: -x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4589 rounded to two dps?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(272))**2 + -5*-1*sqrt(272).\nAnswer: 60*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2014829575.\nAnswer: 5, 11, 109, 67217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -34*c**3 - c**2 - 5*c + 19. Is a(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(180) + -4 - (sqrt(180) + -1 + sqrt(180) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0 - 0)*-2. Suppose -b*w - 36 = w. Which is smaller: -11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 9 = w. Suppose w = -r + 2. Solve 4*q + 20 = -2*d - r, 5*d + 40 = -5*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 1 + 1 + (18 - 2 + 5)*(-3 + 2 + 0)*((2*y + y - 4*y)*(-2 + 4 - 3) - y - y + 0*y) in the form j + a*y and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:09 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -0.04 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 2*y**4\/3 - 11*y**3\/3 + 19*y**2. Let x(k) = -k + 1. Let a(n) = -2*d(n) - 44*x(n). Let t(m) = -3*m. Give t(a(c)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140959603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31821 = 662*f + 16505 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p + 30. Let n(g) = g**3 + 2*g - 8. Let o be n(0). Suppose -748 = -0*w - 4*w. What is the remainder when w is divided by h(o)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**1)**(-2\/15)\/(t\/(t\/t**6)*t*t**(1\/6)\/t) assuming t is positive.\nAnswer: t**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x + 140*x + 159*x - 46*x.\nAnswer: 226*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19824*g**3 + 17*g**2 - 30*g + 32. Let w be f(14). What is w rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9213292.\nAnswer: 2, 11, 209393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16357611 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39840 and 2615520.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 + 6*p + 3. Let l be a(-3). Suppose v + 0*v - 3 = 0. Suppose -3*j + 192 = v. Calculate the highest common factor of l and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u + 89*u**2 + u + 73*u**3 - 92*u**2 - 4*u.\nAnswer: 73*u**3 - 3*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmlmm. Give prob of picking 1 l and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 4:50 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**2 - 28*l**2 + 21*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279026 is divided by 7228?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/30*(4 + 93\/(-21)). Which is the closest to -1? (a) 0.12 (b) -6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2. Let g(q) = 18*q. What is n(g(y))?\nAnswer: 1944*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (146 + 20)\/(0 + 7). Let c = -24 + v. What is the third smallest value in 2, -1\/3, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7511 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - ((16 - 19) + 9 + -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -550.7 + 529. Let m = g - -24.7. Let r = -1 - -6. Which is the third biggest value? (a) m (b) 2 (c) r (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 2) in base 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (-12356)\/(-48)*-4. Suppose -14*j = -4094 - r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*z + 3*c - 32, -5*c - 25 = 0. Find the third derivative of 5*a**4 + a**2 - a**6 - 2*a**z + 10*a**4 - 10*a - 2*a**4 wrt a.\nAnswer: -120*a**3 + 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/18 and -71\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.682 to one decimal place.\nAnswer: -37.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -167219\nAnswer: -501657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 8, v: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 141*u**2 - 208*u + 108. Calculate i(69).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuoouuoouoou. What is prob of picking 2 o?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + (15 - (-13 - 306228)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 bigger than -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/13039 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1029 - -1034. Let m = 35 + 18. Suppose -i*r + m = -2*y - 69, y + 126 = 5*r. What is the remainder when 76 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 - (11904\/(-80))\/(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 + 2*f + 3. Let k be g(-2). Let h be 5*(-2)\/(-10)*k. Suppose -h*w = 3*w - 354. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 23 = 2*r. Solve 6*i + 4*a = i, 0 = -r*i + 4*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/4*(-20 - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 19818.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 186 + 97 + 107 - 94*z**3 + 35*z**2.\nAnswer: -94*z**3 + 35*z**2 - 2*z + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2824650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -121231752\nAnswer: -727390512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k + 21*k - 6*k + 23 + k**2 - 4*k - k.\nAnswer: (k + 1)*(k + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2313 and 2.\nAnswer: -4626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -1553.\nAnswer: -1552.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/730 + -10597\/2920. Find the common denominator of -95\/848 and k.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60015.\nAnswer: 3, 5, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3)*(-3)\/2. Let x be (0 - 1)*f\/(-6). Let u = 4 + -5. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88857 and 162.\nAnswer: 177714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1567323606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + w - 14 = 6, -15 = 3*y - 5*w. Let v = y - -5. Let z be (4\/(-16)*v)\/1. Which is greater: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141288 is divided by 3718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20.27491 litres?\nAnswer: 20274.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -411 - -411. Suppose -14*i + 2135 - 287 = o. Calculate the greatest common factor of 88 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 8*x - 11. Let g be q(9). Put -1, -5, g in descending order.\nAnswer: -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2245 times 996\nAnswer: 223.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33213302 (base 5) to base 10\nAnswer: -288577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 + 31*f**2 + 7*f**2.\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**2 + 7*n + 12. Let x(h) = -6*h + 80. Let v(f) = 6*f - 110. Let r(o) = 2*v(o) + 3*x(o). Calculate -8*j(i) + 3*r(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 993557.6 kilometers in millimeters?\nAnswer: 993557600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25289.6 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -78. Let q = 0.8 + -1. Which is the second biggest value? (a) u (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/17108 and 75\/2113496.\nAnswer: 27475448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 - 366*d**3\/5 + 22326*d**2\/5 - 453962*d\/5.\nAnswer: 2*d*(d - 61)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-12)\/9 + -6 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 9*a**2 - 18*a. Calculate r(-7).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -275 + 271 + (-4 - -2 - 3) - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/(k**(-42\/11)\/k))\/k)\/(k*k**(-13\/3)))**(-6\/11))**(2\/143) assuming k is positive.\nAnswer: k**(-1208\/17303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401030 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 722879*p**2 + 791113*p?\nAnswer: 1445758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -84. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f - 6. Let n = f + -5. Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213\/(-24) + (1976\/91 - 11) + 16\/56.\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 4\/4 - (-9 + 6). Solve -v = -g*k - 12, 5*v - 3*k - 25 = -0*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 2922850*v + 17536920 = 0 for v.\nAnswer: -584564, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 22652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6117*m**3 + 18 wrt m?\nAnswer: 18351*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b - 1. Let o be d(2). What is the common denominator of -93\/22 and 10\/o + 103\/(-48)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-300)\/(-16) + 9\/(-12). Let s be (-20)\/30*w\/4. Let o be (216\/(-30) - -6)\/(2\/5). Is o bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*l = -23, -2*t + 0*l - l = -20. Let w(b) = 7*b**2 - 8 - 2*b - 7*b + t*b - 3*b - b**3. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-1 + 0\/2). Suppose -4*l - 93 = -u*l. Let v = 201 - 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 the highest common divisor of 778350048 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1170409 to 3 dps.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43749, 43923, 44097, 44271, 44445?\nAnswer: 44619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 + c - 6. Let i be f(10). Suppose -994 = -i*x + 186. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v*v*v**7*v)\/(v**1\/v**(2\/5)))**(2\/27) assuming v is positive.\nAnswer: v**(94\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/99*897*258\/559?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-1))\/8*-1. Let r = -0.5 + -8.5. Let d = r - -14. Which is the closest to 2\/3? (a) w (b) -1\/10 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 1014341.\nAnswer: -1014340.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 14*g**2 - 124*g - 539. Give a(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 - 2.2. Let h = u + 0.16. Which is the second smallest value? (a) 4\/5 (b) -2 (c) 12 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 18*v. Let f(g) = -11*g**2 - 18*g**2 + 62*g**2 - 22*g**2. Determine f(b(k)).\nAnswer: 3564*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4627 and 4564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let k be (5\/(-10))\/(1\/s). Let h = 418 - 415. Put 2\/7, k, -2, h in decreasing order.\nAnswer: h, 2\/7, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973 equal to 0.0789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 + 166 - 257 + 3712*y to r + g*y and give g.\nAnswer: 3712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 3. Let w be p(10). Calculate the highest common divisor of 49 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -5*z**6\/6 - 7*z**3\/3 - 12. Find the third derivative of j(g) wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 33*k - 156. Let g be j(27). Let h be ((-9)\/6)\/(g\/(-940)). What is the greatest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14462 - 15139. Which is the closest to -1? (a) f (b) 0.02 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12230, 24457, 36684, 48911?\n\"Answer: 12227*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 6, p: 2, a: 2}. What is prob of sequence bvp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 2. Let r(w) = 5*w**3 + 6*w**2 + 10. Determine 10*c(q) - 2*r(q).\nAnswer: -10*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*c + 329*c - 1095*c + 420*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-44 + (-6)\/3) + 3. Let l = -43 + n. Let u be -4 + 4\/l - -3. What is the closest to -2\/5 in -2, u, 1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 4, a: 3, m: 3, r: 4}. Give prob of sequence qr.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1258 and 120391858?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -939438 at least as big as 170\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 8 + 24)*(-3 - 1 + 3)*(0*f**4 + f**4 - 5*f**4) + 2*f**4 + 0*f**3 + 0*f**3 + (3 - 1 - 1)*(-2 + f**4 + 2).\nAnswer: 151*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -222*a**3 + 5*a**2 + 37*a + 82. Does 60 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2118 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-675)\/(-81) + (-2)\/6 + 0. What is the second derivative of -18*z - l*z**2 + 8*z**2 - 15*z**3 - 4*z wrt z?\nAnswer: -90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*d = 0, 18*c - 4*d = 20*c - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, 5 in increasing order.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112*1420\/2130*(-5)\/(20\/3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61c22 - 15c?\nAnswer: 61ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-35))\/(4\/(-14)). Let d be (5 - 4 - x) + 7. Solve 2*o - 22 = -2*m - 2*m, d*m - 4*o - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306\/32197 - 73432043\/5795460. Let i = -118\/9 - o. Find the common denominator of -23\/12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b**3 + 1\/30*b**5 + 0 + 0*b + 0*b**4 - 3*b**2. Let p(v) be the first derivative of v**2\/2 - 1. Give p(o(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3128055 - -28934367.6871945. Let d = -28934368.67000027 + b. Let t = d - -0.67. What is t rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14964 = 4*i - 2*b, 0 = 3*i + 10*b - 5*b + 11210. What is i rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/6 + g**2 + 7*g. Determine k(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrmrrx. What is prob of sequence rx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-49))\/(24\/140*50\/20)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12b2256 (base 14) to base 11\nAnswer: 511018a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -270146 in -1\/3, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -239 and 11\/164 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, i: 2, x: 2, y: 1}. What is prob of picking 1 k and 1 y?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371145459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -83 * 564\nAnswer: -46812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 9 + 3 + 198*k + k**2 + 25*k + 271*k to the form s*k**2 + h + o*k and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84784976, -84784975, -84784974, -84784973?\n\"Answer: j - 84784977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3053 and 0.05?\nAnswer: -152.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3 - 256705. Let a(y) be the first derivative of -5*y**2\/2 - 2*y - 1. What is h(a(z))?\nAnswer: 75*z**2 + 60*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 173*v + 14. Let l(i) = 3*i**2 - 2*i - 2. Let g be l(-1). Let y be 2 - (-15 - (-8)\/12*g). Is p(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*y = 3*y + 12, y - 12 = -3*q. Let j(k) = 4 - 4*k - 7 + 0*k + 0*k + q*k**2. What are the prime factors of j(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -w + 4*l, -3*l = 5*w - 4*l - 287. Let h(z) = -13*z - 2. Let r be h(3). Let s = r + 60. Calculate the greatest common factor of s and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.97 + 0.03. Let y be 6*(-3 - 100\/(-32)). Let r be (-9)\/(-21)*2\/3. What is the closest to r in y, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - 10. Let y = 1090\/13 + a. Suppose -4*m - m = 0. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(8\/7)*d*d\/(d*d**(-31))*d*(d**(1\/7))**(-1\/70) assuming d is positive.\nAnswer: d**(16729\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 10:53 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53348 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*10\/160*0\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5348 is divided by 1312.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**2 - 27*t - 72. Let y(r) = -r**2 + 2*r - 3. Let o(b) = c(b) - 4*y(b). Let o(d) = 0. Calculate d.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -h + 2. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -5. Let a = -17 + 39. Let r = a - 20. Solve 0 = -r*o + d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/((-31211)\/8510) - -16.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, -1\/7, 92, 1\/6, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**2 + 30*i + 1246. Let n(l) = -5*l + 31. Determine 6*n(c) - 7*y(c).\nAnswer: -2*c - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*r + 5*u, r - 5*r + 5*u + 63 = 0. Let h be 2*(-1)\/2*-13. Let z = r - h. What is the remainder when 15 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24483 divided by -35?\nAnswer: 24483\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-3))\/(12060\/1608).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136.1 - 136.5. Which is the biggest value? (a) 2\/3 (b) 2 (c) l (d) -12\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -27\/5, 11, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.32697343 - -4.473027. Let l = 68 - 78.8. Let h = l + q. What is h rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 + (-13)\/(-3). Suppose i*a = 288 - 23. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose -3*l - 6 = -3*w, 4*w + 0*w = z*l + 4. Is l + 2 - (-42)\/1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13725259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/9, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*t**2 + 200*t wrt t?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and 6750?\nAnswer: 6750.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 9*w + 7*w - 32)*(-8*w**3 + 22 - 22) in the form x*w**3 + m*w**2 + k*w**4 + z + g*w and give x.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 9*f**3 - 6*f**3)*(f - 2*f + 3*f).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867461, 1734921, 2602383, 3469847, 4337313, 5204781, 6072251?\nAnswer: 6939723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 648067877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 5*i + 0*i - i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 5. Let f be z(6). Suppose -y + f = 2. Let p be y\/(-2)*56\/4. Solve p*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3262754*f + 60 = 3262757*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7748 != 626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {m: 2, n: 10, l: 1, w: 2, e: 2, z: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -865162797972.05?\nAnswer: 865162797975.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**1)\/v*v*v)\/v*v*v*v**(-2\/3))**(-5\/16)*((v*v**(-1))**(-3\/10))**(-40) assuming v is positive.\nAnswer: v**(-65\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246 is divided by 93?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 9}. Give prob of sequence byy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -481 - -480. What is the nearest to -0.3 in -5, 6\/11, -0.04, y?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*g + 57, -3*g = p - 3*p + 59. Suppose -p*b = -33*b + 662. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q + 0*q - 2)*(12172237 - 12172237 - 3387*q**4).\nAnswer: 3387*q**5 + 6774*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.8 + 11. Sort -2\/5, l, -3\/4.\nAnswer: -3\/4, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxdddxddddddddx. What is prob of picking 1 x and 3 d?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26179 + 26179. Suppose 3*p = 5*i - 29, -i - 3*p = -0*i + 5. Solve l = -2*d + 5*u - 9, 2*d - i*u + 7 = -u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 266915?\nAnswer: 2669150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -6 - (-48)\/(-12). Suppose 5*f - 153 - 767 = p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 - 1 - (-28 - (-9 + 45)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -66*j**2 - 2*j + 11. Let f(d) = 133*d**2 + 4*d - 23. Suppose 9*s + 6 = 8*s. Let n(t) = s*f(t) - 13*b(t). Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12266 and 3431398.\nAnswer: 3443664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 3*d + 8. Let p be o(6). Suppose 2*z = p + 8. What is the remainder when 32 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298 * 0.21\nAnswer: 62.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 100*t + 1018. Let d be q(-89). Solve d = -14*n - 31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 14266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1903 - 601 - 6*g**2 + 2505.\nAnswer: -6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 499584793 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4, -c = 4*n + 3 - 5. Suppose 11*h - 18*h - 28 = n. Is 13 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -92*l - 624. Let g be w(-7). Solve -20*h - g*h = -160 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -286175258 and -0.1.\nAnswer: -286175258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4068 + -121967\/30. What is the common denominator of g and (-3 + 183\/63)*166\/4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h - 2815. Let c be (-2)\/6 - (-13028)\/24. Let p = h + c. Calculate the common denominator of -97\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2508 and 2838?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o - 8. Is 11 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -117.41. Let m = r + 120.59. What is the smallest value in m, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/9 - 128*j**3\/9 + 52280*j**2\/9 + 105056*j\/9 = 0.\nAnswer: -196, -2, 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-108)*(-3)\/8. Which is the smallest value? (a) 3 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210\/13 + -1522\/91. Let p(y) = y**2 + 4*y - 7. Let t be p(-6). Let q be 3*((-7)\/(-18))\/7. What is the third smallest value in q, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppnppppppppppppppn. Give prob of picking 4 p.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**5)\/(j**(-7)\/j))**13 assuming j is positive.\nAnswer: j**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11652596*m**5 - 10598868*m?\nAnswer: 233051920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:59 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15281\/72039*(-36)\/21?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 3 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 10. Let d be (-2)\/(-4*c\/(-24)). Solve l = d*t - 15, 3*t = l - 2*l + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 10*w**2 + 19. Let z be k(-10). Suppose z + 1 = -2*o. Let i be ((-18)\/27)\/(o\/9). Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -500*g - 407. Is t(-38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4086 = -687*x + 6*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6818 - -48?\nAnswer: 6866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-312)\/(-195))\/(1 - 685\/815).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 34 = -12*q. Let j be (16 + -14)\/(2\/q). Let n(r) = 5*r + 4*r**3 - 4 - j*r**3 - 5*r**2 - 2. Give n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j**2 + 2)*(2*j - 3*j + 0*j) - 3*j**3 - j**2 + j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 339 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126.9042 - 129.26. Round f to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 461440516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:26 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 146 = 0. Suppose u + 103 = 2*q. Let v be (8 - -1) + 0 + 2. What is the greatest common divisor of v and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 370*t. Let q(y) = 5*y**2. Calculate f(q(z)).\nAnswer: 25*z**4 + 1850*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24847 is divided by 151?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4627431 rounded to two decimal places?\nAnswer: 27.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) -4 (c) 3\/5 (d) -3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1742*b - 1. Let m(n) = -350*n. What is i(m(u))?\nAnswer: -609700*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 52*w + 252 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 8*l + 227. Suppose -s + 5*d - 17 = 0, 7*s - 25 = 4*s - 4*d. Put l, s, 20, 2 in descending order.\nAnswer: 20, l, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(0 + sqrt(72) + sqrt(18))**2.\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.036633946 minus 4548?\nAnswer: -4602.036633946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ssskksssssss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -6*v + 118 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*r - 285 - 287 - 131 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 9. Suppose h*k + 63 = 4*z, 3*z + 3*k - 63 = -0*k. Calculate the highest common factor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(3\/7))\/(n*n*n**(-2)*n))\/(n**(3\/4)*n**(-1\/10))*n**7\/((n\/(n\/(n\/(n**0\/n))))\/n*n)*n**(-2\/5)\/n*n\/(n**(-7)\/n) assuming n is positive.\nAnswer: n**(1893\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-528)\/(-304))*2\/2*-1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 + 1072*u**2 - 224635*u + 664284 = 0. What is u?\nAnswer: 3, 281, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/114 (b) 4 (c) -58 (d) 2\/17 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13021\/1020 - -4\/255. Let q = i + 12. What is the second smallest value in -0.1, q, 25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/40 and -19\/15760?\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*h**2 - 226*h - 76.\nAnswer: -2*(h + 1)*(75*h + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + -1.5. Which is the second smallest value? (a) x (b) -4 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 45*x + 462. What is g(-33)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -194*l + 188*l. Suppose -l*c + 70*c - 45 = 0. Factor -18\/5*i**3 - 12\/5*i**2 + 0 - 3\/5*i - 3\/5*i**c - 12\/5*i**4.\nAnswer: -3*i*(i + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054333277 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -5\/8*b**4 + 1\/4*b**3 + 3\/4*b**2 + b + 9\/40*b**5 + 5. Factor n(x).\nAnswer: 3*(x - 1)**2*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 1. Suppose 0*g - l - 1294 = -o*g, -4*g = -2*l - 1296. List the prime factors of g.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-22) - (-2)\/(-11). Suppose -4*b + 3*b + 4*z + 122 = 0, k = 4*b + 4*z - 448. Is 57 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 + 3*a + 5. Let d be l(-2). Suppose 4*h = 5*g + 54, d*h = h - 2*g + 36. Which is smaller: h or 17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2922 and -7\/51102?\nAnswer: 24886674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 15) to base 4.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(189))\/sqrt(9))\/sqrt(7))**2 + sqrt(36)\/sqrt(300)*-1.\nAnswer: -sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-234) + 4\/8*(-10)\/30?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c9 + -4?\nAnswer: -3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1360 + -1361. Which is the closest to 3? (a) -3 (b) -0.08 (c) k (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4 + 8. Solve -a*j - j - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3195*r + 1331. Let i be j(-8). Which is smaller: -24230 or i?\nAnswer: -24230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/360 + z**5\/24 + 5*z**4\/24 - z**3\/3 + z**2. Let c(t) be the first derivative of y(t). What is the units digit of c(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(-5\/6)*n*n)\/n)*n*n*n\/(n**(1\/15)*n)*n*n*n*n**(-3\/11)*n*n\/(n\/((n\/n**(-3))\/n)))**(10\/9))**(-32) assuming n is positive.\nAnswer: n**(-110816\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 14. Let v(q) = -q - 5. Let u(w) = 7. Let m(l) = 8. Let d(t) = 4*m(t) - 5*u(t). Determine o*d(z) + 3*v(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30185572367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/825 and -43\/895?\nAnswer: 147675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20.31 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpp when three letters picked without replacement from ppjppjjppjp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, -5, 5, 4, -165 in increasing order.\nAnswer: -252, -165, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/6 + -1)*(-34 - (4 - 1)). What is the smallest value in 2\/7, t, 1, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477 divided by 137?\nAnswer: -477\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/2 - 30*g**3 - 63*g**2\/2.\nAnswer: 3*g**2*(g - 21)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - s - 17 = 0, -4*s = 2*t + s. Suppose 5*k = w - 69, -2*k + t*w - 26 = 3*w. Let n = k + 34. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -198743?\nAnswer: 2\/198743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o - o)*(-7*o + o**2 + 7*o) - 3*o**3 - 7 - 3*o**3 + 5 + 0*o**3 + 0*o**3 + 6*o**3 as j*o + t*o**2 + k*o**3 + f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634301401.\nAnswer: 541, 1172461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11324.3765*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.417 + 2.017. Let o = 2\/45 + 29\/360. What is the biggest value in o, 1\/5, m, -2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3 - 3956*m**2 - 1428765*m - 135597150 = 0.\nAnswer: -3566, -195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-90))\/(-1))\/(2\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004\/1491 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + d - 2*d)*((-1 + 6 + 2)*(-3*d + 3*d + d) - 2*d + 0*d - d) to the form y*d + x*d**2 + n and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.176 - -13.164358. Round l to 4 decimal places.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 147 = 129. Differentiate -p + 3 - 480*p**x + 448*p**3 - 9 with respect to p.\nAnswer: -96*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635043 is divided by 216.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319 and 145.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*m - a - 10 = -280*m, 5*m + 32*a = 49 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.126 + 73. Let c = f - 8.964. Let t = -0.09 - c. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1689 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1211 and 173.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 2, v: 3, t: 5}. What is prob of picking 4 t?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*1 + -4 + 6. What is the units digit of v - -1*(-3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 + 5)) + -2 + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1442 + -5727\/4. Let h be 0\/1 - (-159)\/(-4). Let d = h + f. Find the common denominator of 9\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*203\nAnswer: 304.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*y + 39 - 39)*(2*y - 2 + 3 - y).\nAnswer: -30*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2\/5 - 108*n\/5 - 972\/5 = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*j + 3*u, j - 2*u = 2*u - 11. Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i = -17*j - 9*i - 21*i + 917, 160 = 3*j + 2*i for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -224\/5*z**4 + 28\/5*z**2 + 2\/5*z + 66\/5*z**3 + 128\/5*z**5 + 0.\nAnswer: 2*z*(z - 1)**2*(8*z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 7:29 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 12:45 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*f + 17, -22*d + 3*f = -27*d - 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43590711707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826*m + 248 = 865*m - 103. Calculate the lowest common multiple of 1029 and m.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14867094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 283077?\nAnswer: 5944617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0*h + j = -6, 2*j = 2*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9 - 17\/(-3). Let c = n + 0. Suppose 2*a - 2*k - 140 = 0, 2*a - a - c*k = 54. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.02209 to two decimal places.\nAnswer: 29.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a + 88 = -1656 + 116. Put a, 0.038, 0.5 in increasing order.\nAnswer: a, 0.038, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11768 + -11766.3. Let r = 0.08 - 0.38. Which is the nearest to -1? (a) t (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6153\/5 + 1235. Let c(x) = -x + 11. Let j be c(9). What is the common denominator of g and 20*((-16)\/9 + j)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + 0.23. Let d = -1 - 0. Let i = d + 2. Is q bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqzfekqz. What is prob of sequence qqz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 5*d**2 - 2*d - 6. Let o(j) = -j**2 - 6*j - 5. Let s be o(-6). Let z be t(s). What is the remainder when 43 is divided by 73\/5 - z\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2*k + 2. Let u be w(-4). Solve 3*b = -5 - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39081285149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/55 or 0?\nAnswer: -39\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115541381.2699827 - 115542268.21. Let b = 886.638 + c. Let j = b - -0.302. Round j to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10830, 88547, 218074, 399411, 632558, 917515, 1254282?\nAnswer: 1642859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. What is the second derivative of 0*k**y - 4*k - 2*k**4 + 0*k**3 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*q + 4318 = 13 - 4605 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/3102688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1, 2 in decreasing order.\nAnswer: 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*w - 156*w + 4*a = -14, 0 = 3*a + 9. What is the nearest to -0.02 in -5, -14, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13560 = -148*c - 12228 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6070000.\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*j - 20, x + 8 = j + 7. Suppose 0 = -3*y + n + 421 + 1106, 4*y - j*n - 2036 = 0. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**2\/2 + 16*j + 4. What is the units digit of a(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3720.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oegsesioa. Give prob of picking 1 s and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 + 357. Suppose 3*w + 35 = n. Let z = w + 2. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 50*i + 252 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15703.7655 rounded to the nearest 10?\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289\/3 + 95. Which is the nearest to -1? (a) j (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4980, 10417, 16334, 22731?\n\"Answer: 240*w**2 + 4717*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(3234\/(-148)) - (0 - (-20)\/420)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 2 + 2)*(3*i - i - 4*i) + 10*i - 2*i + 13*i)*(1 + 0 - 2).\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.5 (c) -1\/8 (d) -0.2 (e) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 638930 or 638436?\nAnswer: 638930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.365 and -0.4.\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 481 - 481. Is -10\/131 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931688.\nAnswer: 2, 116461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -26, 204\/13, -3?\nAnswer: 204\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1\/8, 3\/92, 3\/4, 1, 5 in descending order.\nAnswer: 5, 1, 3\/4, 1\/8, 0.06, 3\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 12, 9, 6, 3, 0?\n\"Answer: -3*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**16\/g*g*g**(-1\/7)*g**(-25)*g**(3\/7) assuming g is positive.\nAnswer: g**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27855?\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0*(-1)\/(-3) + 109 + 4 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290046951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/240 - d**5\/24 + d**4\/12 + d**2. Let h(r) be the second derivative of u(r). Is h(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k + 2. Let x be h(9). Suppose 4*q - 7*s = -8*s + x, 0 = -3*s - 9. What is the derivative of j - q*j - 2 - 18*j wrt j?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -91*l - 632. Let n be y(-7). Let j(f) = -5 + 2 - 7 - 17 + 4*f. Calculate j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - -13) + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -0.1, 32, -0.11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 523139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 12. Let n(w) = -58*w**2 + 9*w + 19. Let o be n(-2). Let t be o\/(-35) - 6\/10 - 3. Solve -3*q = v*d + 2*d + 16, q = t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1429+-1.2\nAnswer: -1430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27\/83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:18 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.51 - 1.50999873. What is i rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -374. Let z = -148 + d. Calculate the highest common factor of z and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1036 and 5.052.\nAnswer: -1030.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3 and -55\/29484?\nAnswer: 29484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 9*f - 8*f)*(-184 - 215 - 123 + 79) in the form c*f + w and give c.\nAnswer: 5759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, 127, 190, 253, 316, 379?\n\"Answer: 63*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by 442969.\nAnswer: -183\/442969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9064602.2 + -9149056.143. Let z = f - -84496. Let j = z + -42. Round j to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106638 = -115*s - 2424*s for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97396 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54947621 divided by -617389?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/6 - 17*z**3\/3 - 486*z**2. What is q(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -15.1. Which is greater: -0.06 or f?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 203, 209, 235, 287, 371?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 427*j**2. Let o(b) be the second derivative of 2*b**3\/3 - 2*b - 155. Determine o(q(u)).\nAnswer: 1708*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/(-12)) + (2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 48. Solve t*r - 20 = 8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 - 23*l**2 - 23. Let g(d) = -3*d**3 + 15*d**2 + 15. Let h(b) = 8*g(b) + 5*k(b). Let x(q) = q**2 + 1. Determine h(s) - 5*x(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5153 at most as big as -8819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(3 + 4)\/7*-45481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18 and ((-24)\/(-264))\/(116\/249*3).\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 27, 0.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**3 + z**2 + z - 247. Let f(b) = b**3 + 2. Calculate -6*f(l) - v(l).\nAnswer: 2*l**3 - l**2 - l + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 216\/(-12) - (7 + -12). Let x(b) = -b**2 - 16*b - 6. What is x(u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4879 and 3444?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(-2*(-5)\/120). Let x(y) = 2 - y**2 - 6*y - 3 + 3. What is the remainder when 7 is divided by x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/40 - l**5\/20 - l**4\/24 + l**3\/3 + 20*l**2. What is o(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/1344 + n**7\/210 + n**6\/120 + 26*n**2. Suppose o(c) = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11603326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 521148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 plus -41989273347.5?\nAnswer: -41989272220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -50, -68, -86, -104?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 2*n + 0*n + (0*n - n - 5*n)*(-1 + 1 + 2) + 4 - n - 4)*(5 - 5 + 4*n) to the form v + g*n + m*n**2 and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 46, 84, 142, 226, 342?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5787*b**2 + 15 + 5786*b**2 + 11. Let w(m) = 0*m + 5*m - 6*m. Give w(s(o)).\nAnswer: o**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 17*q + 7 + (43*q - 4*q - q)*(-12 - 70 - 5) to the form a*q + w and give a.\nAnswer: -3289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**6*(p\/(p*p*(p*p*(p**(-2)\/p)\/p*p)\/p))\/p)\/(p\/(p\/p**0))**(-27) assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24050639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtaazlzalblalzrrrz. Give prob of picking 1 r and 2 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -49?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 11*o**2 + 7*o + 16. Let v be d(12). Let i = 49 + v. Let j = i + 7. Calculate the greatest common divisor of j and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.12488 (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 180*g**4 + 137*g**4 - 16*g**4 - 7*g**4 + 2*g**4 + 3*g**4 + (2*g - 6*g + 2*g)*(2*g**3 - 5*g**3 + 4*g**3).\nAnswer: 297*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 1, x: 1}. Give prob of picking 1 l and 1 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45125, 45123, 45119, 45113, 45105, 45095?\n\"Answer: -n**2 + n + 45125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 378276\/145 - (-2)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -13783\nAnswer: 3\/13783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 77, 72, 69, 68?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/288 or 0?\nAnswer: -13\/288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9950.483 milligrams?\nAnswer: 9950483000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.4*7\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/(i\/i**(2\/15)))**(-9\/14)*i\/i**5*(i**(-2)\/i)\/i*i\/i**(-5)*i\/(i\/i**(-1)) assuming i is positive.\nAnswer: i**(-531\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/11)\/(u*u**(5\/3)\/u*u))**8)**(3\/14) assuming u is positive.\nAnswer: u**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 = -29. Does 8 divide 6\/10 - (-164)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4725852ng?\nAnswer: 0.0004725852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + o + 11 = 0, -4*g = -2*o - 2 - 44. Suppose -3*k + 2*x + 0 = -g, 5*x + 16 = 4*k. Solve -h = 0, 1 + 0 = y - k*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 81012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -50, -411\/2, 1, 0 in ascending order.\nAnswer: -411\/2, -50, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6394 = -5*g + o, 2*g - 4*o + 2554 = -0*o. Let p be (g - -4) + (-9)\/3. Calculate the common denominator of p\/(-180) - (3 - 0) and 13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15*p = 7*p - 15498. What is the remainder when p is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -421\/4 - -106. Suppose 4*u = -2 + 10. Factor 0 - i*a**u + 1\/4*a.\nAnswer: -a*(3*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51052496 and 46206?\nAnswer: 5134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 2103, 4729, 8405, 13131, 18907?\nAnswer: 25733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7088.9996252 + -7089. Round r to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 11) to base 13.\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(135\/18 + -6) + -12?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Suppose j*p = 8*p. Suppose -q - 3*q = p. Solve v + 0*v + 2 = q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5\/132 (b) 4\/3 (c) -3\/4 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29712408 divided by -30822.\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfippppppsfsipi. Give prob of picking 2 f and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416246 at least as big as 3416247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104134971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(1100) + sqrt(1100) - sqrt(1100)) + (sqrt(1100) + 1*sqrt(1100))*-2.\nAnswer: 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**10*g*g*(g\/(g\/(g**(-5\/3)\/g)))\/g*g*(g*g**(-5)\/g*g)**(-3\/22) assuming g is positive.\nAnswer: g**(326\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13026.\nAnswer: 2, 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ae5 (base 15) in base 13?\nAnswer: 5966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 3, a: 1, o: 7}. What is prob of sequence lll?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*i + 3, 4*d + 3*i - 2 = -0. Let k = 15 - 43. Let n = k - -28. Put n, -4, d in descending order.\nAnswer: n, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2965*s**5 + 273*s - 3 wrt s?\nAnswer: -59300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*s + 351, 5*y - 4*s = -6*s + 359. Suppose -4*w = 3*t - y, -w + 2*t = t - 23. Suppose 0 = w*a - 19*a - 9. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 14*a**2 - 13*a + 4. Let q be x(-13). Suppose -4 = q*d + 4*m - 0*m, -m + 5 = 4*d. Solve 14 = c - 3*f, 0*c = -d*c - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1106052*n**3 - 955966*n wrt n.\nAnswer: -6636312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 + f. Let r = 6 - -5. Let l(a) = -2*a**3 - 11*a**2 - 4*a. Let x(o) = r*k(o) + 4*l(o). Find the second derivative of x(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71 times 757?\nAnswer: -1294.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 149\/(-2235) - (-4532)\/30. Solve 38*q - 1 = l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -76 - 240*q + 160*q + 207*q - 62. Is h(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20 - 7 + 3*x**2 - 11.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c - 8. Let p be i(-6). Suppose -p*n + 2 = -l - 4*l, -3*n = -3*l - 3. Suppose -l*m + 324 = 4*m. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31951552*b**2*y - b - 63808*y - 112 wrt b?\nAnswer: 63903104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 564 + -544. Calculate the remainder when 132 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6\/5, -51919, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 + 569 - c**2 - 569 - 13*c - 8*c**2. Let d(l) = 2*l**2. Calculate a(d(m)).\nAnswer: -56*m**4 - 26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2635 and 1633700?\nAnswer: 1633700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.1. Let v = u - 0.3. What is the nearest to -0.1 in 3\/4, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 + -211. Suppose -c - u = 23 - 65, -4*c = -b*u - 177. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5849 or -5850?\nAnswer: -5849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1316*u**2 + 42*u + 5. What is the units digit of w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b + 12. Let k be g(9). What is the greatest common factor of 72 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-18))\/(14\/18). Which is the biggest value? (a) -32 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + 98*g**2 - 391*g. Let c(z) = -z**3 + 24*z**2 - 98*z. Let j(p) = -p**2 + 20*p + 30. Let n be j(21). Let d(k) = n*c(k) - 2*q(k). Factor d(h).\nAnswer: -h*(h - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(50))\/(sqrt(75)*-5 + sqrt(3))*2.\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r + 6*r - 2*r)*(r + 0*r - 3*r)*(16 - 3 + 0).\nAnswer: -364*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*(-297)\/(-132)*-22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*w + 239 - 239)*(-w - w - 2*w)*(-2*w - 2*w + 9*w).\nAnswer: 1160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 21*i + 141. Let y be g(-7). List the prime factors of ((-3272)\/16)\/(-1*(-3)\/y).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + u - 6 = 0, 4*o - 2*u = 181 - 187 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*z + 86 = s - 3*z - 18, -22 = 2*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621740.\nAnswer: 2, 3, 5, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 124*o**3 + 29*o**3 + 82*o**3 - 5*o.\nAnswer: 235*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 7*x + 8. Let g be q(6). Suppose 66 = -0*j + g*j. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(68) + sqrt(68))*-4 + sqrt(68)*-2*-2)\/((sqrt(144)\/sqrt(4) + sqrt(36) - (sqrt(16)*-2 - sqrt(4)))*6))**2.\nAnswer: 68\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:22 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1023 or -805?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let l = 1.4 - 8.4. Let d = 7.1 + l. What is the second biggest value in -2\/13, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 137?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1677537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.6497 + -0.8423. Let r = 0.192 + x. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -2975, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75\/7 - -171\/14. What is the fourth smallest value in -22, -4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728086?\nAnswer: 2, 109, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 16*p + 46. Determine t(20).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*n + 540*n + 536*n + 528*n - 2134*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504 and 630.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -291794\nAnswer: -5\/145897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 32 = -16. Suppose 1 - 17 = w*t, -5*a - t + 13401 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/30 - 17*w**4\/3 - 2*w**2 - 4. Let d(o) be the second derivative of f(o). Let p(s) = 6*s**2. What is p(d(u))?\nAnswer: 3456*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 111 = s, -3*s + 42 = j - 5*s. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101111111100011 (base 2) in base 16?\nAnswer: -15fe3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12) - (-210)\/36. Determine c, given that 4*c**3 + c**2 - c**3 + 48 - 22*c**2 - 24*c - n*c**3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 3 (b) -0.03 (c) -44 (d) 1.2 (e) 11 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*l = 161*l - 6*r - 306, 4*l - 5*r = -239 - 78 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z + 28. Is (-314)\/((-1)\/z*-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 5*y - 7*y)*(y**3 - 5*y + 5*y).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 6 in ascending order.\nAnswer: -18, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*-3*(-15)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1 - 4*w - 2 + 0*w + 3*w. Let i be h(-5). Suppose 4*j - 10 = i*k, -4*k + 5 - 19 = -2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 45*s**2 - 2*s - 75. Let l be f(-45). Let a = -2 + 2. Solve a*u = 5*r - 4*u - 45, -r + 2*u + l = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59609 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(6\/(-24))\/(6\/(-8))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 65 = 9*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 9. Is w(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 6 + -90 + 20.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/68)\/((-2)\/(-16)*3)*24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 113*f + 66*f - 180*f - 105 to the form x*f + k and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + (-2 - (-12)\/9). Let s = t + 79. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*r - 21 - 4 = 0, 15 = 3*r. Let u = -1 - -2. Sort -3, v, u in ascending order.\nAnswer: -3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - i**2 + i**2 + 12*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698465*m - 5797*m**3 + 698465*m.\nAnswer: -5797*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*d - 2 = -80*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 621*x**5 - x**4 - 496*x**2 + 2*x + 1. Let w(b) = b**4 - 2*b**2 - 2*b - 1. Let d(v) = 5*l(v) + 5*w(v). Find the third derivative of d(z) wrt z.\nAnswer: 186300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 8 + z + 2 - 4. Calculate the remainder when 10 is divided by b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -0.11?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239 + 399. Suppose 0 = 9*v - v - c. Solve i - v = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10 - (-154)\/110. Find the third derivative of 20*s**3 - 369 + 369 + 6*s**w + s**5 wrt s.\nAnswer: 60*s**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2048 - 2021. Solve -5 = -x + m, 4*x - 2*m - 37 = -k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091979157 minus -0.2?\nAnswer: 1091979157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 0*d + 19 = -4*t, -2*d + 3*t = -13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Suppose -3*q + 0*q + a*x + 224 = 0, 0 = -2*q + 5*x + 146. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -722376\nAnswer: -47\/90297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(6\/15*(-145)\/29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 7 = 2*h, 0 = 3*r - 50*h + 57*h - 44 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(6 + -3) + 4. Let x be (-18)\/(-135)*(z - (-15)\/231). Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9 - 13\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 5368*t**2 - 5368*t**2 + 19*t - 11*t**3 to the form c*t**3 + z + q*t**2 + i*t and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.2, 1\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2889*d**3 - 2056 wrt d.\nAnswer: 8667*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2 (c) 1\/3 (d) -1 (e) 0.04 (f) 103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/10 of a gram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 5 + 91*u - 122299*u**3 + 122303*u**3 to the form a*u**3 + f*u + g + m*u**2 and give f.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 585614050*y**3 + 275914076 wrt y?\nAnswer: 1756842150*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2526517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8557596874949 + 1.\nAnswer: -8557596874948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10773929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*k + 32*m = -667*k + 22*m + 45, 4*k = 5*m + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 + -5 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/11 + 12*d\/11 = 0. What is d?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6056*s + 44548. Give a(-7).\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-552*b - 403*b**4 + 552*b)*(-3*b + 2*b + 5*b) + (-2*b**2 + b**2 + 0*b**2)*(0*b**2 - b**3 + 0*b**2).\nAnswer: -1611*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*w + 190*w - 38*w - 435*w.\nAnswer: -586*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(4 + -5 + 7\/((-49)\/(-14))). Which is the closest to -0.3? (a) -5\/47 (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = y - 4*s, s = 4*y + 32 - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 6*c. Suppose 3*t - 8 = -20. Let p = t - -6. Suppose -p*f - 16 = -4. Let l(n) = -n. Calculate f*l(w) + i(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*c**2 - 95\/3*c + 21\/2 = 0.\nAnswer: 1\/3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 653\/112604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107372131 a multiple of 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1419899840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 40*o + 1. Let g(p) = -92*p - 1. Give 3*g(j) + 7*h(j).\nAnswer: 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 + 288. Let h be 2\/(-5) + 1 + 32\/p. Put 0, h, 5, -1 in ascending order.\nAnswer: -1, 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 24.03. Let x = -23.1 + y. Let t = -0.9000022 + x. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (0 - 2) + 4 + -1 + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 2*m**3 + 11 - 8*m**3 + 2 wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-55)*(-16424 + 16409)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 413 - 51?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*f = -31*f - 1176 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*u - 49 = 3*m - 88*u, -3*m - 133 = -19*u for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018406286 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 22. Let n be w(13). Let d be n\/(-12)*(-3 - -23). Suppose 7*z - 4*z - d = 0. Solve -z*g + 4*b = -2*g - 3, 0 = -g + 5*b + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/8329 at least as big as -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: bc21 (base 13) to base 6\nAnswer: 321222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7935840 and 4008?\nAnswer: 7935840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2. Let h(q) = 79*q**2 - 3*q + 10. Give -h(t) + 5*j(t).\nAnswer: -84*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -187\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*u + 60, -4*j - 9*u = -13*u - 60. Let o be (6\/4 - 1)\/(3\/j). Let g(y) = 5*y - 1. Let h(t) = -4*t + 1. Give o*g(m) + 4*h(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) 55 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -523 + 523.3. What is the closest to 115\/4 in 1, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7680986 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -46. Suppose 28 = 3*c - 4*t, 5*c + 8*t - 3*t = 70. What is the remainder when j is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 20, 4, 2\/9, 0.06, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*n = -4*o - 1434, -2*o + 2*n = 2916. Which is the closest to o? (a) -0.2 (b) -1\/6 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0513086 decades in months?\nAnswer: 6.157032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 6*v - 3. Let m be d(5). Let s(b) = -2 + 2 + m*b**2 - 4 - 5*b. Let l(q) = 4*q**2 - 9*q - 7. What is -4*l(n) + 7*s(n)?\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 4, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:28 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffsssss. What is prob of picking 1 f and 2 s?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -31*l**3 + 5*l**2 + 5*l + 49. Let q(a) = -15*a**3 + 2*a**2 + 2*a + 25. Let j(r) = 5*q(r) - 2*t(r). Find the first derivative of j(n) wrt n.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 364\/63)\/(2\/18). Solve -4 = 4*h - t - 0, g*t + 1 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228790401.\nAnswer: 3, 7, 43, 253367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33131517?\nAnswer: 3, 1069, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 36. Suppose c*y = 4*y + 13600000. Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/15*(-23)\/((-506)\/(-55))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, -25, 5\/4, 1\/17, -1\/2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.3 (c) 3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 98535010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97956*a**2*u**2 + 24*a**2*u - 122*a*u**2 + 38316*a*u wrt a?\nAnswer: -195912*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 13. Let p be 65\/(-30) - 1\/3. Which is the nearest to -3? (a) -0.5 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092 = 808*j - 892*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:46 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0036 + -0.4036. Which is the nearest to 1\/13? (a) -5 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1. Let k be w(5). Suppose 4 = 4*o - k. What is the units digit of (o\/(-4))\/((-1)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -0.05. Let m = w - -2. Let u = 2.0000056 - m. What is u rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-387 - (-10684772)\/27608)\/(((-21)\/2)\/(-3)).\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4108 = 6023. Let k = i + -37196\/11. Calculate the common denominator of k and (24\/(-98))\/((-2)\/(-7)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-39)\/6 + 1). Let f be 3 - (4\/2 + -76). Calculate the greatest common divisor of q and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 53. Suppose 0 = -n*j + 16*j. Solve j = -z + 6*z + 25, -15 = s + 2*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - f = 8, -2*f + 24 = 2*u + 2*u. Suppose u*p = 5 - 1. Suppose -2*x + p = -1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2880 and 0.0549.\nAnswer: -2879.9451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 21*f - 23*f)*(-3*f**4 + 3*f**4 + f**4) - 1 - 632*f**3 + 632*f**3 - 68*f**5.\nAnswer: -111*f**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 8*z + 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let x(p) = -69110*p**2. Give x(t(s)).\nAnswer: -276440*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d + 10. Suppose 1 + 39 = 5*u. Let o be b(u). List the prime factors of o\/12 - (-2)\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from gjjylyghiyj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-2106) - (-1001567)\/(-23283).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 4 + (3 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 192, 192, 188, 180, 168?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-1155)*25*(-14)\/(-30)*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364 + 700. Suppose j = 4*k - 7*k. Let m = k + 243. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2011556 (base 7) to base 11\nAnswer: -153072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -228828008 divided by -9208\nAnswer: 24851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/10 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1669 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*o - 17 = 0, v - 3*o + 6 = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/10)\/((-8)\/(-20)). Suppose -k = q - 5. Determine b so that -2*b + b**2 - 152*b**4 + q*b**3 - b + 153*b**4 - 5 + 3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(5*i + i - 4*i) - 2*i + 2*i + 2*i + (2*i + 1 - 1)*(-3 + 1 + 14).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 471 = -9*b. Let n = b + -157. Let u(d) = -d - 1. Let s be u(-4). Solve -s*w - w + 20 = n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 9 (b) 131 (c) 0.4 (d) 32 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 918671671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 4. Let n be (5\/10)\/((-1)\/d). Let j = 7 + n. Is j < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118 or -874?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**3 + 51*u**2 + 48*u - 2. Give f(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -29. Let x = -201 + 205. Suppose -r + x = -3*k. Solve 3*o + k = -4*s, -2*s + 12 = -2*o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330508830 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*t - 892*t - 7 + 3 + 3.\nAnswer: -60*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18624747 is divided by 2375.\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1923 = -2*h - h - 3729 + 1947 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:45 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1666 = -3*r + 95. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:24 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535 + -530. Solve 0 = -3*b + u - 3, u + 3 = -r*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*n**6 + 68*n**3 + 38025*n**2.\nAnswer: -2520*n**3 + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/154*22*9\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 608\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p. Let f(i) be the first derivative of 0*i + 0*i**2 - 63 + 1\/3*i**3. Determine f(t(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12)\/((-1)\/((-21)\/35))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/120)\/(12\/274) + 15*7\/420\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1088) + 2 + -5) - ((sqrt(68) - -5*(sqrt(68) + 1) - sqrt(68))*4)**2.\nAnswer: -27591 - 1624*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14293916.\nAnswer: 2, 7, 13, 107, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/6)\/8)\/((-30)\/(-18)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 5. Let g(c) = 3 + 2 + 1 - 3. Determine -5*g(v) + 3*t(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8339 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 12 = 0. Let q be (-138)\/(-24) - t\/8. Suppose 2*b - q*k = 20, -k + 2*k = -2. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -42. Let g be 6 + ((-3)\/9)\/(i\/(-3)). Solve g*n = -25, -2*n - 3*n - 37 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -12663?\nAnswer: -12663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8757*t = 8746*t - 88 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1663406 or -1663410?\nAnswer: -1663410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (266\/21)\/(2\/3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 7*d - 7. Let l(s) = s**2 - 4*s - 4. Let h(w) = -7*l(w) + 4*x(w). Let a(c) = 2*c. Calculate a(h(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2140 + 3?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325725 is divided by 106.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -3)\/(-1 + -1). Let q be d - ((304 - 3) + -3). Round q to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/(-4))\/(-6*3\/(-144)). Let r = 52 + y. Calculate the least common multiple of 10 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -1\/8, -184, -1, 3, -23 in increasing order.\nAnswer: -184, -65, -23, -1, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:09 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:52 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {b: 5, j: 4, c: 10, n: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -59.05. Which is bigger: -0.11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 13383917 + 13383917.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 divided by 23?\nAnswer: 178\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -29\/6 (b) 3 (c) 0.02 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1050)\/(-385))\/(20\/(-1320)*-4)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Suppose 0 = -d - 2*y - 5, 3*d - 2 = d + 2*y. Let v = -0.2 - -0.3. Which is the closest to d? (a) v (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**3 + 18*w**2 + 4*w - 4. Let t(v) be the first derivative of -7*v**4\/2 + 53*v**3\/3 + 11*v**2\/2 - 11*v + 1515. Determine -11*s(r) + 4*t(r).\nAnswer: -r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.09\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 9*(2 - 1). Let l be (-6)\/(-2 + u\/8). Let y be 2\/l + (-19600001)\/4. What is y rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**7\/2940 + k**6\/630 + k**5\/420 - k**4\/42 + k**3\/2 + 5*k**2. Let a(r) be the first derivative of f(r). Solve a(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (2*-4 + 4). Suppose -5*t + u = h, 0*t + u - 2 = t. Solve t*q - 12 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964816?\nAnswer: 2, 47, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53383, 19, 1.\nAnswer: 1, 19, 53383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 * 0.8\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4\/3)\/j)**(-17\/3))**(-2\/37))**18 assuming j is positive.\nAnswer: j**(-476\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t + 7*t - 12 - 6 wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 8 + 2)*(47*i**2 - 50*i**2 + 31*i**2).\nAnswer: 308*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10029523 and 372?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + -2.2. Let s = -0.8 + -0.2. Let g = s - 3. Which is the third smallest value? (a) g (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 3*d + 0*d**2 - 21*d**2 in the form o*d + v*d**2 + a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1515 - 140.5\nAnswer: -1655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 761 and 2193202?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46035 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.2 or -11563\/9?\nAnswer: -11563\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60291 and 406.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*s**4 + c**3*s**2 + 4*c**3*s + 2*c**2 + 8539*c*s**4 + 19*s**3 - 77*s**2 - 230*s wrt s.\nAnswer: -96*c**3*s + 204936*c*s + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.0055 + -0.0055. Let i be -1*((-6)\/5 - -1). Which is the second biggest value? (a) -4 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -217*w. Suppose 5*o + 471 = 3*g, 2*g - 359 + 71 = -o. Let n(y) = 9*y. Calculate g*n(m) + 6*z(m).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207159 is divided by 431.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000483187 to five decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:29 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 0.244?\nAnswer: 0.244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 5, 0.1, 119405, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15+782472771744\nAnswer: 782472771729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398c4 (base 16) to base 4.\nAnswer: 321203010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.4 - -28. Let d = 8 - t. Which is the nearest to -2\/3? (a) d (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6364 is divided by 189.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 210 in 4, -0.026, 3, 0.4, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 0.065.\nAnswer: -5, 0.065, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7519 + -12995. What is v rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3430283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*p - 4*d + 5, 4*p - 11 = 3*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9177\/1426 + (40\/(-155))\/(-4))*2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t - 1 + 0 + 86*t + 165*t.\nAnswer: 316*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkbb when four letters picked without replacement from {k: 11, b: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21113 (base 5) to base 6\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 147. Let m = a - 462. What is the lowest common multiple of -8*((-2)\/(-4) - m\/(-36)) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -384 - -390. What is the remainder when o*((-2)\/8 + 1235\/156) is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 326 = 10*s - 6*f, -s + 217 = 5*f + 200 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 4*c - 31. Suppose -5*i - 15 = -5*p, 3*p = -5*i - 7 + c. What is j in 3\/7*j + 0*j**3 - 6\/7*j**2 + 6\/7*j**4 - 3\/7*j**p + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**2\/2 - 7*o - 9. Determine k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000633940429 to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llxz when four letters picked without replacement from {m: 1, i: 2, l: 3, x: 1, z: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:50 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 1405176528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 41*a**2 + 296*a + 388. Give p(-32).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6707.175 nanograms to milligrams.\nAnswer: 0.006707175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2, 64, -1\/10, 4 in descending order.\nAnswer: 64, 4, -1\/10, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 20. Let u be c(-6). Let z(j) = -j**3 - 7*j**2 - 5*j. Let s be z(-5). Let r = u + s. What is the remainder when 19 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120\/(-32)*(-202678 - -2). Suppose -n = 2930035 - f. What is n rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**4 - 89*s**3 - 454*s**2 - 576*s - 257. Let f(z) = -z**4 - 15*z**3 - 76*z**2 - 96*z - 43. Let m(i) = 34*f(i) - 6*y(i). Let m(x) = 0. What is x?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3623 and 39\/289840.\nAnswer: 289840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13779*m**3*v**6 + 9*m**3*v + 588*m*v**2 wrt v.\nAnswer: -1653480*m**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1579*b**5 + 1211*b**5 + 1813*b**5 - b**5 - 3*b**5 + 5*b**5 - b**5 + 0*b**5 + 3*b**5 + (-5*b**2 + 2*b**2 + b**2)*(-4*b**3 + 5*b**3 - 2*b**3).\nAnswer: 1450*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5\/14*u**4 - 9 + 2\/35*u**5 + 6\/7*u**3 - u**2 + 4\/7*u. Suppose k(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*f**3\/3 - 184316*f**2\/3 - 190208*f\/3 - 5764\/3 = 0. Calculate f.\nAnswer: -1, -1\/32, 1441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = -q. Let h(p) = -p**2 + p**3 - 5 + 0*p**2 + 4*p**2 + 4*p**2. Does 14 divide h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14) + 13625\/35 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/10)\/(18\/(-40)). Let k = -35 - -29. Let y be (-2 + 8)*((-3)\/k + 0). Is y at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**3 - i**2 + 399*i - 397. Determine l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220554.\nAnswer: 2, 3, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1246 and 101460?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) 74\/3 (c) -485 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4348684t in micrograms?\nAnswer: 434868400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 6*y + 4. Give s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, 7, -1, 1144 in ascending order.\nAnswer: -214, -1, 7, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 239930, 479852, 719760, 959648, 1199510, 1439340, 1679132?\n\"Answer: -f**3 - f**2 + 239932*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/145 (b) 2 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -32. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84*(-56)\/784)\/((60\/27)\/2)*-5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17662 - 10974. Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + -4 + -15 - -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, c: 5, i: 4}. What is prob of sequence ccii?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/6)*v**(-5\/3)\/v)\/(v**0)**40 assuming v is positive.\nAnswer: v**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14283269*d**2 + 16910777?\nAnswer: -28566538*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3, -8481*i - 3*j = -8483*i + 15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, 1 n, and 1 m when four letters picked without replacement from nmnmben?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 + 176 = -19*o - 6*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161315 to the power of 1\/2, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 166 - 154 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 = -2*y, y = -y - 4*m + 12. Suppose -4*j + y = 0, 35*j + 4 = f + 33*j. Calculate the least common multiple of f and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 + 6*x - 7. Suppose -4*v + 3*r = -36, -17*v + 3*r = -20*v + 6. Let j(w) = 6*w**2 - 5*w + 6. Determine v*j(n) + 5*i(n).\nAnswer: 11*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 23, 32, 43, 56, 71, 88?\n\"Answer: h**2 + 4*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-1))\/(-3))\/(3388\/(-17787))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -20*u**2 + u + 1. What is k(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4710)\/4239*(-3)\/5*9\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5629316 + 2*y + 11258624 - 5629308.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19255826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 19. Let l(d) = -16*d + d**2 + u*d. Let g(i) = i**2 + 0*i**2 + 12*i**2 + 2*i**2. Determine l(g(q)).\nAnswer: 225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.27 + 33. Let r = g - -10.27. Let z = r + -9.91. What is z rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 683 - 3412\/5. Which is the third biggest value? (a) -1\/6 (b) v (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170704127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) 2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16188217 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8231*d - 7336*d + 38485 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from -184725.\nAnswer: -184725.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 1125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 - q**2 - 3*q**2)*(-2 - 1 + 1)*(15 - 444*q - 13 - 4182*q) to the form c*q + y*q**3 + m*q**2 + g and give y.\nAnswer: -46260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*v - 383*v - 888 = -4*o, 0 = 3*v + o - 664. What is the highest common factor of v and 3400?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d**2 + 6 + 2 - 8 to the form f*d + l*d**2 + t and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.7. Let n = m + 0.2. Let c = -0.026 - 0.074. What is the nearest to n in c, -0.5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44693, -179043, -402961, -716447, -1119501, -1612123, -2194313?\n\"Answer: -44784*i**2 + 2*i + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 10 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*i + 22, -35*i + 34*i - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4032 (base 12) to base 5.\nAnswer: -210300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 649 + -409. Suppose 682 = 2*n - k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 divided by 5464?\nAnswer: 1133\/5464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 2901168.\nAnswer: 2901168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(20*l - 9*l + 7 - 14*l).\nAnswer: 3*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4)*1\/3*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 28. Does 4 divide 80\/30*42\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.5. Which is the biggest value? (a) u (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1543\/15 - -511\/5. Which is the nearest to y? (a) 0.4 (b) 1\/2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.774595 centuries in millennia?\nAnswer: 0.3774595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j + 21. Suppose 15 = 3*y, 0 = 3*b - 4*y + 1 - 17. What is the remainder when s(0) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 140 = -3*p, 0*v = -3*p - 2*v + 134. Suppose -p*i + 32347 = -39*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010111000000100110 (base 2) in base 9?\nAnswer: -2571223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 6*z**2 - 5*z - 3. What is the least common multiple of 7 and l(4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b. Let w(q) = 13*q - 4. Let d(x) = 37*x - 11. Let o be (22\/4)\/(7\/(-14)). Let h(n) = o*w(n) + 4*d(n). Determine h(a(j)).\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37077 + -32563. Calculate the greatest common factor of s and 488.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109 times 829?\nAnswer: 90.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/3 + ((-125)\/15 - -9). Let o be (h - 10) + 5 + 4. Solve 4*m + 3*a = o*m + 5, 4*m = a + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718096732 times -0.2?\nAnswer: 143619346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 20 = -2*a - c, c = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2886475 to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q - 2*n = -10, -3*n + 15 = 2*q. Suppose 5*m - 5211 = -3*l, 3*l + q*l = -4*m + 5214. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:54 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 691*m**3\/3 + 745*m**2 + 2467*m. What is the first derivative of u(q) wrt q?\nAnswer: 1382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93244*x - x**2 - 7845*x - 147683*x.\nAnswer: -x**2 - 248772*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, k: 5, s: 2}. Give prob of picking 1 w, 1 s, and 2 k.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Suppose d - 2*d + 1 = 0. Suppose 5 = 2*x + d. Let o = x - 8. Give z(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 880\/9 + -98. Let x be 2*(-6)\/(-63)*21\/(-30). Put x, 8, 0, n in ascending order.\nAnswer: n, x, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 365101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 - 892072*z + 892076 = 0.\nAnswer: -223019, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -31. Let q(u) = -36*u - 46. Let w be q(-3). Suppose g*m - w = 34. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3023893129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j + v, 2 = -12*j + 13*j + 2*v. Solve j*w + c = -2*c + 10, 0 = -3*w + 5*c - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4916\/1569 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720113064 a multiple of 4295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16356257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 215190 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, n: 1}. What is prob of picking 2 d and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*r = 344*r - 22. Which is smaller: r or -14\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25954536 and 6?\nAnswer: 25954536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.17 (b) 0.4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by (-430)\/(-30)*(-10 + 19).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Let c = 3 - f. Let l be c\/(-10) + (-4)\/(-10). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 3*n + 9. Let m be p(-6). Suppose -5*o + 85 = 5*r, r - 17*o + 15*o = 20. What is the greatest common factor of r and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1323*o - 26. Let m(a) = -6616*a - 145. Determine 2*m(b) - 11*x(b).\nAnswer: 1321*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {d: 1, q: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-4)*105\/(-42).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (5 - (-1 + (7 - -4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 4*c + 2. Let n be m(-3). Let v(z) = z**3 + 14*z**2 - 7*z - 18. Let g be v(-14). Calculate the highest common divisor of n and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12039 - -12034. Let h(r) = 6*r - 5. Let p(v) = 11*v - 10. Let w = -1 - -4. Let m(i) = w*p(i) - 5*h(i). Let o(c) = 3*c - 6. Calculate l*o(f) + 6*m(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 4}. Give prob of picking 1 u and 2 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/3 + 28*u\/3 - 10 = 0. What is u?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 725?\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39613 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + (-2588)\/172)\/(572\/52 - (3 + 9)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27426*4.\nAnswer: -1.09704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 3, a: 1, g: 3, x: 2, f: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuiuuueeuuuuou. Give prob of picking 1 o, 1 e, and 1 u.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.4, 0.9, -6.7, -2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/20*45\/(-2). Is -3*(-2)\/p*165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556755?\nAnswer: 5, 511351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 + -0.53. What is c rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5653 - 5608. Solve 0 = 29*v - 14*v + g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 14*d + 84 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 3 (b) -0.4 (c) -5\/2 (d) 20 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4710*k**3 + 377837*k - 6741 - 377837*k wrt k?\nAnswer: 14130*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c + 8. Let q be y(-4). Suppose q*v + 2*v - 4 = -2*n, -2*v = 0. Solve -4*d - 6 = -6*d, n*z - 4*d = -18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23051*d + 31836 wrt d?\nAnswer: -23051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + l - 5265 - 3472, -2*u + 8739 = -l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2 - 8. Let u(n) = -3*n**2 + 6*n - 3. Let p be u(6). Let d be ((-8)\/10)\/((-10)\/p). Let b(l) = -9*l**2 + 9. Give d*b(s) - 7*g(s).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.852 + -0.592. What is b rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 13*v - 1. Let s = -49 + 51. Suppose 0 = -6*x + s*x + 24. Does 37 divide m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r - 68. Let k be h(14). Suppose 0 = 3*z + 6, -7*s + k*z = -6*s - 4. Which is bigger: s or -10\/61?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Let d be 752\/282 + (-3479984)\/(-6). Suppose a*k - d = k. Round k to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518067985?\nAnswer: 5, 23, 4504939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3055115m?\nAnswer: 30.55115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9*j + 1\/3*j**3 - 1\/9*j**2 - 4\/3.\nAnswer: (j - 3)*(j + 2)*(3*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29340\/19071)\/((-5)\/(-208))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3430 - -521. Let k = w - 23579\/6. What is the common denominator of k and -29\/129?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/15)\/1*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000119473393 to seven decimal places.\nAnswer: -0.0001195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -26*v**2 - 3. Let w(j) = -j**2. Give s(w(m)).\nAnswer: -26*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:10 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*k - 108 - 122 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khzhlzzllkl. Give prob of sequence zk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 4*d**5\/15 - d**2. Let w(q) = q**2. What is w(p(i))?\nAnswer: 256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7199, -14507, -21815?\n\"Answer: -7308*w + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 32*g + 0*g**2 + 0 + 5\/2*g**3 + 1\/20*g**5 + 3\/10*g**6 + 1\/3*g**4. Find the third derivative of u(n) wrt n.\nAnswer: 216*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032210 + 221?\nAnswer: 1033031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - h + 29, -3*f + 24 = -3*h - 21. Suppose 4*k - f - 49 = 0. Calculate the remainder when 27 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1653 divide 54406842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*n**3 - l**3*n + 220*l**2*n**3 - 6*l**2*n**2 + 16*l**2*n + 2*l*n + l + 1462*n**3 wrt n?\nAnswer: 12*l**3 + 1320*l**2 + 8772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -648, -4470, -14836, -35016, -68280, -117898, -187140?\n\"Answer: -545*d**3 - 2*d**2 - d - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-24))\/(1\/36). Let j(s) = -s + 16. Let d be j(y). Suppose -d*w + 3*g + 208 = -g, -4*w + 5*g = -204. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 17 = -4*l, -l - 5*j = 28. Let x be -1 + ((-1)\/5)\/(1\/(-5)). Suppose 0 = -7*s + 7 - x. Is l greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Let y(r) = 3*r**3 + 2*r**2 - 2*r + 7. Let m(w) = 4*w**3 + w**2 - w + 7. Let u(d) = i*y(d) - 4*m(d). Let p be u(5). Which is greater: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 614 - 611. Sort -0.3, j, -3.8.\nAnswer: -3.8, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + -1 + 1. Let r be 2 + g*(10 + 2). Is 2 a factor of (-5 - 0)*12\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*g + 3*g. Find the third derivative of 77 - 77 + 13*y**5 + g*y**2 wrt y.\nAnswer: 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(3) - -6*(sqrt(3) + (sqrt(48) - sqrt(3)))))\/(sqrt(14)\/sqrt(2450)).\nAnswer: 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6821 divided by 19.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -43?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(-1 - -1). Let l(y) be the second derivative of y + 0*y**2 + j + 1\/6*y**3. Let w(p) = p. Give w(l(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 2*h**2 - 3*h - 2. Let u be (-11 + -1)\/4 - 0. Let o be v(u). Which is the second smallest value? (a) -7 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 141, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124 - 66 - 43)*(-9*a + 5*a - a)*(-5 - 9*a + 5).\nAnswer: 675*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(2*sqrt(6)) + 6*sqrt(3)*2 + -1 + -4)**2.\nAnswer: -125*sqrt(3) + 1975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b - 46*b + 29*b**2 - 99*b**2.\nAnswer: -70*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 + 7877727*t + 7877730 = 0.\nAnswer: -1, 2625910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20668b8 (base 12) to base 11\nAnswer: 34a2078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(270\/8))\/(28\/42)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 1. Let r(p) = 7*p + 1. Determine b(s) + r(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-25))\/(l*l\/(l\/l**(-25\/3))*l) assuming l is positive.\nAnswer: l**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 - 104*o**4 + 92*o**3 + 504*o**2 + 306*o = 0. Calculate o.\nAnswer: -1, 0, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10350 to the nearest 100.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0, -14, -4, 47 in increasing order.\nAnswer: -14, -4, 0, 2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 83958.5356 to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -33984*b**3 - 3*b**2 - 51*b - 49. List the prime factors of j(-1).\nAnswer: 17, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -435.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*d - 1 = 2*d, -3*f - 4*d + 11 = 0. Let s = 4 + f. Solve 2*q + 1 = s*l, 10 = -4*q - 3*l - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-20)*o*(o\/(o\/(o*o**(-12))*o))\/o)\/((o**18\/o)\/((o\/o**(-17))\/o)) assuming o is positive.\nAnswer: o**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-t + 0*t + 2*t) - 37*t + 11*t - 7*t.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*n - 740*n + 2704 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -57*q**2 + 2*q + 6. Let y(z) = -2*z**3 + 68*z**2 - 73*z + 237. Let p be y(33). Let s(a) = -171*a**2 + 6*a + 17. Give p*s(f) - 17*h(f).\nAnswer: -57*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 139\/25, -3, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -9. Let y = -209 + 224. Suppose y*r - 33 = 26*r. Put d, r, 0.3, 0 in decreasing order.\nAnswer: d, 0.3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 10)*((-1 + y + 1)*(-6*y + 6*y - 4*y**2) + y**2 - 2*y**3 - y**2).\nAnswer: -90*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2 + 480*r - 19200 = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -488809*y**3 + 15197*y**2 + 1169*y + 1169. Let z(o) = 1674*o**3 - 52*o**2 - 4*o - 4. Give -4*r(q) - 1169*z(q).\nAnswer: -1670*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -499411\/31 bigger than -16109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*g**2 - 2162 - 2000 + 4162.\nAnswer: 254*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39d (base 15) to base 16.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9678362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 677\/103360?\nAnswer: 677\/103360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(80)*2)*-6 + -3 - (-3 + (-3*sqrt(80)*1 - (sqrt(80) - (sqrt(80) - (sqrt(80) - (-3 + -1*sqrt(80))))))**2).\nAnswer: -1997 - 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2484)\/(-18)*2\/8*(-31)\/(11997\/86).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x. Let g be u(6). Let l = 5 + 22. Calculate the remainder when (-2 - -1) + -2 + g is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.08495 + 12.0849375. Let w = -5 + o. Round w to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 6) to base 5\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/12*(-30)\/(-18)*-2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 20*m to the form r + k*m and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.28 and 769.44891305?\nAnswer: 770.72891305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g. Suppose g = -4*t + 12. Suppose 918 = t*y - 1635. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73387 is divided by 915.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x - l, 5*l = -2*x + 9 - 30. Solve -4 = c + x*p, c = 3*c + p + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 32. Let i be d(-13). Suppose -i*o = -5*o - 29. Let y = 695 - 376. What is the greatest common divisor of o and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132906304 divided by 1616?\nAnswer: 82244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 4. Suppose 0*x = -4*x - 136. Let a(r) = 6*r - 23. Let y(f) = x*g(f) + 6*a(f). What is the units digit of y(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/15 - 780\/50\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukrakd. What is prob of picking 1 a, 1 u, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -58944, -16 in increasing order.\nAnswer: -58944, -16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 107*r + 2*r**3 + 106*r - 2*r**2 - 11 + 2 in the form v*r**3 + y*r + f + j*r**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - (-2 - -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23)\/(-4) + (-1)\/(-4). Let r(s) be the second derivative of -s**3\/6 - 17*s - 22. Give r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2279 - 2260. Let q(r) = r**3 + 13*r**2 - 3*r - 8. Calculate the remainder when q(-13) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 4*n = -196. Let w(u) = -116*u - 85. Is 10 a factor of w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w - 22. Let a be m(4). Suppose 3*z + 3*s - a*s = 13164, -5*z - s + 21958 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18394 = -28*w + 26*w - 2*m, 0 = -5*m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-4) + -5 + 2 - (-228796794)\/(-24). What is z rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8 + 16 + 5*q + 19*q**2 - 6. Let p be (6\/(-15))\/(1\/(-10)). Is f(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012365722 rounded to six dps?\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {s: 2, d: 1, i: 1, z: 1, j: 2, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 6741.\nAnswer: 1\/6741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1752 - -1741.97. Let f = d - -10. Let s = f - 6.97. Sort -2\/11, s, 0.4 in descending order.\nAnswer: 0.4, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 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: In base 6, what is -12502242322 + -5?\nAnswer: -12502242331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1\/2*n**4 - 5*n + 0 + 0*n**2 + 0*n**3. Let h(d) = -2*d. Calculate h(t(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36073, 72022, 107973, 143926, 179881, 215838, 251797?\nAnswer: 287758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p - 2*q, -3*p + q = -2*p - 2. Let m = -1 - -9. Suppose -2 = 3*a - m. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*x + 161*x = 108*x + 5302 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101628606889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20002 (base 4) to base 16.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from ykadavaadakaayv?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 41*q + 346. Calculate the lowest common multiple of 42 and u(-6).\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*p + 6*p + 7*p - 4*p**2)*(-3 + 2 + 2) in the form c + l*p + g*p**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015717336 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165388054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.036 - 14.836. Let m = f - -14.6. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5600111522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-five thirds of a day?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(216)*-6)\/((sqrt(128) + (sqrt(128) - (sqrt(128) - 1*sqrt(128)))*-5)*-6).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -5. Let k = c - 1. Solve 0*s = -4*s - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2\/2 - 18. Let a(j) be the first derivative of 5*j**4\/12 + j - 1. Let q(v) be the first derivative of a(v). Give p(q(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/75, 50715, 17 in ascending order.\nAnswer: -1\/75, 17, 50715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-13*21\/(-546))\/((-4)\/200)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000745071 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n**(-3\/7))\/(n**(-1))**(1\/4))**(-19) assuming n is positive.\nAnswer: n**(171\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2906*r - 118146 - 38778 = 0 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-420)\/(-80))\/(-2*(-3)\/3728). Suppose p = -39*a + 46*a. List the prime factors of a.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 4*w**2 - 3*w - 3. Let z = -2 - 2. What is the units digit of c(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7590857 to the nearest integer?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52283646 by -378867.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9832 to the nearest one hundred.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m + 12 = 0. Suppose -c + m = -0. Suppose -4*z - 20 = -8*z, c*z = 4*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -173*r**2 + r. Let w(b) = -2*b + 17. Determine w(x(y)).\nAnswer: 346*y**2 - 2*y + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21043, 21038, 21031, 21022, 21011, 20998?\nAnswer: 20983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**(-4)*f))\/f)\/f**(-16\/3) assuming f is positive.\nAnswer: f**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1059\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 64*x + 187. Give z(33).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 111 - 199. Calculate the highest common factor of n and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107369668, 107369667, 107369664, 107369659?\nAnswer: 107369652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*t**4 - 25751*t**2 + 33199515?\nAnswer: 248*t**3 - 51502*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.17806315+-367.99\nAnswer: -366.81193685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + -14 - -24) + 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -1 - 3, 4*j - 3*l + 230 = 0. Let g = 59 + j. Let w = -0.133 - -0.073. Which is the biggest value? (a) w (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**9)\/((i*i*i*i\/i**(2\/37)*i)\/i))\/(i**(-3\/4))**46)**(-1\/4) assuming i is positive.\nAnswer: i**(-1743\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29977\/5 - 5995. Let -1\/5 + 2\/5*y**3 + 1\/5*y**5 + 3\/5*y**4 - g*y**2 - 3\/5*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j = -5177 + 4694 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) - 17\/(-34). Suppose c*d = -d + 5*h + 467, -4*d = -5*h - 631. Suppose 3*x + 35 = d. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*t + 57. Suppose 3*n = 101 - t. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 2990 = -102*o + 306*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) - 2*(sqrt(252))**2.\nAnswer: -504 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-6)\/9)\/((-150)\/975).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4565655.\nAnswer: 3, 5, 71, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 6*k - 3*k)*(0 - 5 - 3).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 82, 148, 240?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - 1 - (-17 - -18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 20*a + 24. Let u be n(3). Let z = 88 - u. Factor -x**3 - x**3 - 2*x**3 + 6*x - 2*x**3 + 2*x**z - 4 + 2*x**2.\nAnswer: 2*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 17*u - 22*u - 41, 2*g = -5*u + 52. Let j(n) = 27*n**2 - g*n**2 - 2*n + n**3 + 3*n + 2 + 0*n**3. What is j(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 25*t + 20. Let m be p(-5). Let g = -106 - m. Let z be ((-22)\/14)\/((-12)\/(-14)). Is g at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 - -14.26. Let v = 12 - z. Which is the closest to v? (a) 0 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24775 - 24734. Solve -5*h + u - 21 = 5*f, 0 = h - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/67367509 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2055*g**2 - 2056*g**2 + 2 - 2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.955*6548\nAnswer: -12801.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-4))\/((-5)\/(30\/9)). Let z = 701410\/593943 - -2\/141415. Let w = z - 8\/21. Is t less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 + 2 = 0. Suppose 0 = -3*r + d + 14. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 8:22 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*w - 27, 3*b + 2*w - 301 = -288 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssmsssmss. What is prob of sequence mssm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -32*q - 56. List the prime factors of (q\/5)\/(3*3\/3330).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0356*68.3\nAnswer: 2.43148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -17*j**4\/6 + 133*j**3\/6 + 14*j**2 - 168. Let p(b) be the second derivative of x(b). Differentiate p(m) with respect to m.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 18*n**2 + 6*n + 5. Let x(r) = r**3 - 15*r**2 - 5*r - 5. Determine 3*a(h) + 4*x(h).\nAnswer: -2*h**3 - 6*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -982 + 1529. Let c = t + -547.000000866. What is c rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 3\/5, -16, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 46*z + 425 = -5*f, -167 = 2*z + 3*f. Sort z, 2\/9, 5, -7 in decreasing order.\nAnswer: 5, 2\/9, -7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5563080 and -41\/7776.\nAnswer: 66756960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*z**3 - 213*z**3 + 189*z**3.\nAnswer: -171*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85426 + 13*s**3 - 6*s**3 - 170857 + 85431.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2*w**3 - 7 + 2*w**2 + w**3 + 30 - 3*w**2. Suppose 0 = p - 4*p. Is 11 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71906 = 69*f - 77564 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Find the third derivative of -2075697*p**4*x + p**3*x - 1173*p**2*x + 3*p**2 - 2*p + 83*x wrt p.\nAnswer: -49816728*p*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*t - 870. Let w = -431 + t. Solve w*x = 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120102 + 112220?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101001000001011101 (base 2) to base 6.\nAnswer: -204351033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -919.\nAnswer: -1\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (1 + -1 + -5). Suppose 5*p - z*p + 18 = 0. Let n = 13 + p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 101. Let x(m) = m**2 - m - 10. Let i be x(0). What is the lowest common multiple of u and (4\/i)\/((-1)\/20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 11 - -13) + -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -40*t**2 - 30*t - 160. Let l be r(-8). Is 27 a factor of l\/(-6) - 105\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.6, 4, 3, 6, -321, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51333362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.3, -125002, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*h**3 - 8055*h**2 - 249240*h + 19220.\nAnswer: -5*(h + 62)**2*(13*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 14. Suppose 28 = 5*n + y. Let d(p) = 4*p + 5. Let s(b) = 2*b + 3. What is n*s(f) - 3*d(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/6*(-36)\/30. Suppose 0 = 5*t - v*t + 3*b - 12, 0 = 4*t + b - 19. Solve m - 2*m + 4*u = -14, m - t*u - 17 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1 + -3) - (-3 + 6). Sort k, -7, 3\/2 in increasing order.\nAnswer: -7, 3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65916 and 4.\nAnswer: -65912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -135. Let m(y) = y**2 + 4*y - 7. Let g be m(b). Solve 5*n - 2*h + 21 = 0, -g = 5*n + 3*h + 26 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 147?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -1 in decreasing order.\nAnswer: 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from {r: 2, u: 3, z: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:06 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16 - (-18)\/8. Factor -2*y**2 + y + v + 2*y + y**3 - y - 3*y**3.\nAnswer: -2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226569\/47 - -4821. Calculate the common denominator of f and (-119)\/(-110) + 12\/(-66).\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -36*t - 146. What is the remainder when d(-9) is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391\/767 + 869420\/1649817. Find the common denominator of u and 91\/18.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - ((-82 - -43) + 22)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2096, -4, 8, 4 in decreasing order.\nAnswer: 2096, 36, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(((-6)\/2)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 371*j + 833*j - 101*j + 65*j + 429*j to r + p*j and give p.\nAnswer: 1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427951197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ink when three letters picked without replacement from {n: 1, k: 2, i: 9, x: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 294*i**2 - 15 + 5 + 4*i + 168*i**2 - i + 4*i. List the prime factors of r(2).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.109\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5514 is divided by 45?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 9. Let w = -2 - o. Solve w = 5*k + 15, x - 5 = -x + k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -32 and 94 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1530 = -12276*o + 12106*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027644 to four decimal places.\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-4)\/(-96)*4 + 513\/1134. What is the third smallest value in 0.5, v, 81, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1708647 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3429 and -8\/45.\nAnswer: 17145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 2*r - 3. Let z be y(4). Suppose z = -3*g + 5*u, 3*u = -4*g - 3 + 2. Is (g + 3)\/((-1)\/17) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 4*v + 4*v + (-1 + 3 - 4)*(-v**2 - 4*v + 4*v) + 37*v**2 + 5*v**2 + 96*v**2.\nAnswer: 143*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*m - 4696, 2*m = m + 5. Suppose 986 = 5*j - h. Suppose -3*k - 6 = 3, 2*v + 5*k - j = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-4)\/136). Suppose -17 + k = 2*x. Suppose 0 = 5*f - 0*f + 20, -h + x = -3*f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - p + 27 + 107 + 72.\nAnswer: -p + 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c - 3. Let m be y(6). Suppose 7 = -m*u - 5. Let a = 8 + u. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.083814 minutes to nanoseconds.\nAnswer: 5028840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = 224 - 112. Let s(r) = 11*r + 51. Determine s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3152*p**3 + 3*p**2 - 18*p - 15. List the prime factors of n(-2).\nAnswer: 7, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -603 + -2aa89?\nAnswer: -2b38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 115\/(-46)*(-88)\/10. Differentiate -52*i**2 + 1 + 0 - 10 + 50*i**2 + y*i wrt i.\nAnswer: -4*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(500) + (-2*(sqrt(500) - (sqrt(500) - (sqrt(500) + sqrt(500)*-1))) - sqrt(500))**2 - sqrt(500)).\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1572 and 672.\nAnswer: 88032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 731 - 31. Let h be m + 3 + (1 - 4). Is 16 a factor of h\/22 - (-8)\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 6. Let k(u) = 4*u**2 - u - 5. Let q be 2\/(-3) + 5 + 50\/(-6). Calculate q*k(z) + 3*h(z).\nAnswer: -z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1058.29 - -997. Let t = 50 - -10. Let n = l + t. What is n rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122661 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*i + 17, -3*l = 3*i + 2*i + 29. What are the prime factors of 12796\/77 + -2*l\/(-33)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.8. Let b = -0.4 - -0.3. What is the second biggest value in b, q, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-14)))**(2\/9)\/(d*(d\/d**(-1\/40))\/d*d**(2\/43)))**49 assuming d is positive.\nAnswer: d**(-3172603\/15480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3, -4*g + w + 11 = -14. Solve 2 = 2*k - 2*t, 4*k - g = -t + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2047*g - 3190*g - 1429*g - 12866*g.\nAnswer: -15438*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((-2*sqrt(99)*-2*5)**2 - ((sqrt(99) + -1*sqrt(99))**2 + -4 + sqrt(99) + 0 + 1)).\nAnswer: -12*sqrt(11) + 158412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*o + 7510 + 4223 = 3413 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10603.6 + 10604. Which is the nearest to 0? (a) -2 (b) -84\/13 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 1. Let x be t(1). Suppose -5*w - 8 - 12 = 0, x = 2*q - 2*w - 38. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**3 + 0 + 3*b + 0*b**2 + 1\/12*b**4. Let s(i) = -4*i + i + 2*i. Determine s(j(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28*c**3 - 4*c**2 + 2*c + 1. Give u(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y + 3. Let g(a) = -1. Let c(b) = 5*g(b) + m(b). Let v = 6 + 2. Let j be 0*2\/v + 0. Determine c(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 165 - 49*u)*((-6 - 6*u + 6)*(1 + 2 - 1) + 0 + 0 - u).\nAnswer: 637*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s + 6. Let p(g) be the third derivative of -7\/24*g**4 - g + 0 - 7\/6*g**3 - 2*g**2 + 1\/60*g**5. Calculate -6*p(b) - 7*t(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 2*p)*(2*p + 3*p - p)*(-2 - 1 + 1).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**2 + 4*h + 5. Let p = -7 - -11. Is m(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bspd when four letters picked without replacement from {p: 2, s: 1, b: 1, x: 1, d: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/13, -27.1, -0.2 in increasing order.\nAnswer: -27.1, -0.2, 30\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w + 390. Let y be d(-25). Let v = -2 + 2. Suppose 11*m - 6*m - y = v. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 3*n + 0*n)*(-47 + 15 + 2*n + 24) as l*n**2 + q*n + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -11, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -41 + 44 + (8 - 2) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u + 75. Let m be o(-5). Solve 7*q + 20 + m = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 2*h + 49 + 11, 20 = 3*h + 5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36978156 and 16506?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -45179608?\nAnswer: 225898040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184915 = 21141*u - 829853 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let r = a + -1. Let c = -1 - r. What is the third biggest value in c, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(432) + 1)**2.\nAnswer: 24*sqrt(3) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122, 244, 366?\n\"Answer: 122*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*3*3\/(-162) + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = y - 36, 2207*y - 9 = 2202*y + k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.4 + 0.4. Let c = 24 + b. Sort -8, 4, c.\nAnswer: -8, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d97 (base 15) to base 3.\nAnswer: -22211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 52*b - 55*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272586 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254305, -9, 1\/4, 2\/5.\nAnswer: -254305, -9, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 3 + (-5 + 4 + 3)*(-2 - 2 + 3))*(2*k**2 - 13*k + 13*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9507*s - 80757*s**2 + 9509*s + 80747*s**2.\nAnswer: -10*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.1, -0.4, 0.4, 0.1, 1 in decreasing order.\nAnswer: 1, 0.4, 0.1, -0.4, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 4. Let w be y(-8). Suppose -103 - 113 = -w*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -5*i**7\/7 - 53*i**4\/12 - 52*i**2 - i. Find the second derivative of f(u) wrt u.\nAnswer: -1800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18219, -36806, -55413, -74046, -92711, -111414?\nAnswer: -130161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 245, 650, 1243, 2024?\nAnswer: 2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwzdzwdwdwd. Give prob of sequence zddw.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0.4, -38?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5443 + -929. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 59*d + 89. Let h(y) = -83*y - 133. Let n(f) = -10*c(f) - 7*h(f). Give n(19).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 19881855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 570. What is the hundreds digit of q(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329495?\nAnswer: 5, 65899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11761 and 20.\nAnswer: 235220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 3*m**2 - 11*m + 21. Determine j(4).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tggccgkuccttttkct?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031224 to 7 decimal places.\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -1 - 24\/2. Let c = -10 - n. Suppose c = 4*b - 3*b + 3. Let r(g) = -g**2 - 3*g - 2. Calculate r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = 2*n. Suppose 0 = r + 3*b - 36, 14 = 4*b + 2. Let m be n - r\/(-3) - -1. What is the highest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(6)*-2 - (-4*sqrt(3630) - sqrt(30)))\/(sqrt(90) + -4*-1*sqrt(90) + 1*sqrt(90)*-2).\nAnswer: 43*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 78 - 12 = 11*t + 4*n, -3*n - 3 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = 0. Let b be z*((-10)\/15)\/2. Suppose b = -7*s + 5*s + 224. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63908.56 kilometers to meters.\nAnswer: 63908560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.11 - -15. Suppose 0*w = w - 8*w. Which is the nearest to w? (a) d (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*j - 3340 - 2185 = -233*j + 131*j for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.796701 rounded to two dps?\nAnswer: 170.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r - 22*r)*(-20 + 23 + 11).\nAnswer: -336*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) + 5*sqrt(192)) + 2)**2 - ((sqrt(9)\/(sqrt(30)\/sqrt(10)))**2 - sqrt(300)*1).\nAnswer: 666*sqrt(3) + 80689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296263, 592520, 888789, 1185070, 1481363?\nAnswer: 1777668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 + w**2 - 4*w + 3. Let t be d(1). Let g be -4 + (5 - t)*4. Let c be 12 + -9 - (g - 1). Solve -c = 2*k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -2\/727 (c) -29\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20144730*p - 3648257 wrt p?\nAnswer: 20144730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1703*q**3 + 3*q**2 + 67*q - 16. Let d(p) = -3*p**3 + 2*p**2 + 2*p - 5. Let u(b) = d(b) - r(b). Find the third derivative of u(j) wrt j.\nAnswer: 10200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.6179496 hours to weeks.\nAnswer: 0.0572497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4057360.\nAnswer: 2, 5, 41, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8*c + 4*c - 300, 2*f - 2*c = 618. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 28\/(-8))*-74. Suppose 0 = -115*w + h*w + 8. Let f(k) = 55*k - 8. Does 30 divide f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -515 + 1101. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.4375 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 481 + -203?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19162 - -1303113\/68. Find the common denominator of -115\/28 and s.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 10\/39 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 0*w - 4*w - 2. Let n(h) be the first derivative of h**2\/2 + 1. Suppose 34*i - 33*i - 1 = -4*b, -3*i + 5*b = -3. Give i*m(c) + n(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 76183 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325200 less than -0.046987?\nAnswer: -325200.046987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000578 rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8.2. Suppose -k + 9 = m + 2*k, -m = -5*k + 15. Is n at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 238 + 3*w**2 - 238. Let q(v) = -3 - v + 0 + 3. What is q(t(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**5\/60 + g**4\/3 - g**3\/3 - 12*g**2 - 21*g. Let y(r) be the first derivative of u(r). What is y(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3.6. Let h = -2.4 - -2. Let n = h + c. What is the nearest to n in -0.4, 4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -5 + (-4 - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 - 25 = 0. Let k be (-6)\/(-4) + r\/2. Is 4575\/50 + 1*k\/4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 181*p - 3 = 95*p + 89*p, 2*p = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/((6\/87)\/1). Let s = -1633\/250 - -4\/125. Find the common denominator of ((-3)\/(-81))\/((-14)\/f) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7028 - -463867\/66. Let h = -1\/22 - l. What is the third biggest value in -1\/11, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:44 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4919 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 24 + -9 + -32 + (24 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i - 500. Let r = 243 + i. Round r to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19216 + 21985. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:51 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-270))\/(6\/54)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b**2 - 2*b**2 + 3*b**2. Let o(q) = -25*q**2 - 20*q. Let n(r) = r**2 + r. Let l(j) = 20*n(j) + o(j). Calculate f(l(i)).\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**2 - 1\/6*x**3 + 0*x + 0. Let p(j) = -2*j + 4*j + 1 - 5. Give -p(g) + 5*s(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1 - -1)*29. What is the highest common factor of v and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -43. Suppose -2*c + x = -0*x - d, 3*x = c - 13. Suppose -4*n = -4*o + n + 149, -4*n = 5*o - 176. What is the remainder when o is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 6, h: 2, r: 2, i: 3, k: 1}. What is prob of picking 1 k, 1 h, and 1 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*j - 192 + 21472 = 0. Calculate the greatest common factor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -188 (b) -605 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3380 and 1960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -10, -25 in ascending order.\nAnswer: -25, -10, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwb when three letters picked without replacement from wmwbtwmw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -3.2. Let j be (63\/(-27))\/(4\/(-12)). Let c be (-24)\/18*-3 - j. What is the closest to -2\/7 in c, l, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -3, 2\/5, 12, -3\/473 in ascending order.\nAnswer: -3, -0.4, -3\/473, 0, 2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 3 - 3)*(34*s**3 - 83*s + 83*s).\nAnswer: -68*s**4 - 68*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34, -88, -160, -250?\n\"Answer: -9*k**2 - 27*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 33. Let t be k(-14). Suppose -t*l + 3*q + 2*q + 10 = 0, -1 = l - 4*q. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 4, -29\/30, -3, -13?\nAnswer: -29\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4605852 equal to -4605851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-5))\/q*q**(3\/10))\/(q\/(q*q\/q**(-2)))**(1\/36) assuming q is positive.\nAnswer: q**(-217\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 6*h + 26. Solve 9*y + 2*l - h = 4*y, -4*y = 5*l - 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 6*u + 3. Let j be d(-7). Let f be 0 - (-2)\/(j\/(-4)). Which is the closest to f? (a) 0.5 (b) 2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-159)\/(-318))\/(2\/28 - 0). Solve 10 = m*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, n: 7}. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146572 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100 - -126 - (3 - -55)) + -8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 205689\/345 - 4\/(-5). Suppose 0*m + 599 = 2*m - 3*y, 0 = -2*m + y + u. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429549312?\nAnswer: 2, 3, 53, 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103184491 to the power of 1\/2, to the nearest integer?\nAnswer: 10158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1 - 16*a**3 + 0 + 6*a**2 + 7*a**3 + 10*a**3 + 7*a. Calculate r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14266913, -14266925, -14266937, -14266949, -14266961, -14266973?\nAnswer: -14266985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q. Let f(j) = -4*j - 7*j + 9*j. Give f(s(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 771102 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0532 - -3.6032. Let q = 20.55 - u. Is q at least 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 12*d + 36 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.623 - -517.743. Let s = g + -537. Let n = s + 30. Round n to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 16*m**2 - 211*m - 2742. Give g(-15).\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13698 divided by -761.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.101 (b) 4 (c) -15\/4 (d) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2974*a**2*k + 2*a*k - 8*a - 2*k + 256513882 wrt a.\nAnswer: 5948*a*k + 2*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(1\/7)))**27\/(b**(-1))**(-17))**49 assuming b is positive.\nAnswer: b**(-1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-35))\/(3\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 223*z**2 + 7428*z - 1656461. What is k(223)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnpd when four letters picked without replacement from onidepo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 17. Suppose 4*p + 4*c - 792 = 1136, p - 3*c - 470 = 0. Let i = p - 487. Determine g(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14496376 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 - 6*r - 4. Give n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Suppose 0 = -x*k - k. Suppose 4*d - 96004 = -4*q, k*d = -d - 2*q + 24002. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g**2 + 1 + 1148923*g - 39*g**3 - 1148925*g + g**2. Determine w(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.99999864 - -69. What is j rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62897935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4260 at most -4260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = 2*a - 3*c + 16, a - 4*c - 18 = 0. Solve 5*g + 3*p - 18 = p, -a = 5*g - 3*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u**2 + u + 2. Let z be j(-2). Let n(w) = -35*w - 520. Let s be n(-16). Let o = s + z. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 20 = 0, 4*p + 5*x = -25 - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z*z*z\/(z*z**(1\/9)))\/z)*z\/(z*z\/z**4)*z*z)**(3\/25) assuming z is positive.\nAnswer: z**(37\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120 - 23?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2*1\/2). Let m = 39 + -34. Let c = m - 4.9. What is the second biggest value in 3\/5, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1 - 8*k**2 - 7*k + 4*k**2 - 2*k**3 + 3*k**3 - 7. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + -0.6. Let q = -1 + c. What is the third smallest value in 2\/13, 0.1, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - -0.1349. Let q = -3.2 - -3. Let a = q + x. What is a rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19802920 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13516 and 27468?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -51, -136, -289, -528, -871, -1336?\nAnswer: -1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 7584\/11, 0.139 in descending order.\nAnswer: 7584\/11, 0.139, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4) + (8 - -7 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - 2 - -2) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**4\/5 + 279*d**3\/5 + 6399*d**2\/5 - 45603*d\/5 + 71928\/5 = 0?\nAnswer: -24, 3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c - 1. Let r(q) = -47*q + q**2 + 27*q**4 + 4 - 2 + q**2 + 0. Let i(k) = r(k) + 2*s(k). What is the second derivative of i(m) wrt m?\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -593*n + 589*n + 33*n**2 + 2 + 6 - 9 in the form y*n**2 + k*n + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6592934\/195 + 33810. Let t = n + -6629\/780. Find the common denominator of t and 89\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 3*s**2 + 11*s - 90. Let l be u(5). Suppose 2 = 5*x + 4*g, -6 = 3*x - x + 5*g. Solve -x*b = 4*d + 8, 7 = 5*b - 4*d - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2670, -2665, -2658, -2649, -2638, -2625?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -552505, -2210037, -4972593, -8840173, -13812777?\n\"Answer: -552512*w**2 + 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -94. Suppose 4*k - 263 = n, -5*k + 2*n + c = -201. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 1001*s - 249319. Give u(535).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(90\/24) - 28\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/10)\/(15\/75). Let o = 16 + n. Suppose -2*d - 2*p = -112, 5*d + 5*p = 3*d + 109. Calculate the remainder when d is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 18. Let a(h) = 2*h**2 - 22*h - 14. Let r be a(12). Let t be f(r). Suppose t*g = 2*g + 228. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 6*n**2 - 3*n + 9. Let k be c(6). Let t(v) = -517*v - 4*v**2 + 1039*v - 511*v + 8 + 5*v**2. What is t(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604483893 is divided by 1246?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.17589164 rounded to 1 decimal place?\nAnswer: -56.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9975872*r + 6841587?\nAnswer: -9975872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35332301 divided by 5?\nAnswer: 35332301\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3208 + -3208.01. Sort 1\/14, d, -5 in decreasing order.\nAnswer: 1\/14, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0658+-30160128.4\nAnswer: -30160128.4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14 + -2 - (0 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82854545+3.416\nAnswer: -82854541.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and -61\/8451.\nAnswer: 33804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17231, 17229, 17227, 17225, 17223?\n\"Answer: -2*r + 17233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgyg when four letters picked without replacement from {y: 8, r: 3, g: 3, w: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 16974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhnh. Give prob of sequence nhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 4\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -861*u - 44124 - 6675 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/6 + 55\/(-10) + 5541 - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, 2\/7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16293\/10 - 1627. What is the common denominator of -48 + (-5 - -1 - -4) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155358665 a multiple of 2695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) - (sqrt(14) - 5*sqrt(84)\/sqrt(6))))\/(-5*2*sqrt(2)) + 4.\nAnswer: 2*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6096 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 17. Let g(z) = -5*z - 16. Let b(x) = 3*x + 10. Let t be ((-10)\/6)\/((-9)\/27). Let c(u) = t*g(u) + 8*b(u). Calculate f(c(n)).\nAnswer: -n**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 = -4*k. Let z be (0 + k)*(-5)\/(-25). Suppose -3 = -d - p, 6 + 3 = -d + 5*p. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 142*q + 58. Let c be h(28). Solve -z + 6*z = y + 7, -c*y = z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(637) + -5 - (0 + (4 + sqrt(637))**2)).\nAnswer: 49*sqrt(13) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkrrl. What is prob of sequence lkrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and 29\/201635?\nAnswer: 403270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q - 7. Let w be z(11). Let y = -39 + w. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4*o - 3*o)*(4*o**3 - 2*o**3 - o**3).\nAnswer: o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - g + 52 = 2*g, -5*t - 2*g = 57. Suppose 3*m = 2*m + 4*c + 56, 0 = m + 4*c - 16. Let w = t + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 1557?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2003 - 2049. Put x, 4, 5 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 8*y**2 - y + 10. Let s be n(-9). Let u = s + 6. Let i be (-2)\/u + (-4)\/(-16). What is the closest to -0.1 in 5, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2499 and 30630684?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 1. Let u(k) = 15*k**2 - 17. Let h(n) = -102*m(n) + 6*u(n). Let w(a) = 4*a - 4*a - 2*a. Determine w(h(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96324?\nAnswer: 2, 3, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**4\/12 - b**2. Let g(q) be the second derivative of -q**3\/2 + 886*q. Calculate c(g(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u**2 - 14*u**2 + 17*u**3)*(-4*u**2 - 104 + 0*u**2 + 5*u**2).\nAnswer: 17*u**5 - 1768*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 17*l**2 - 23*l - 56. What is p(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375)*-5)\/((sqrt(80)\/sqrt(4))\/sqrt(4)).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2144 = 2143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1493.658ms?\nAnswer: 0.0248943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1154 (base 13) to base 6\nAnswer: 15135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*x - 7 = -2*l, 5*x + 12 = 3*l. Let t be -8 + 24 + l + 1. Suppose -3*p - 428 - 12 = -14*p. Calculate the highest common divisor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j. Let s = -2 + 14. Let m(o) = 9*o + 5*o - s*o. Determine y(m(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8045, 8024, 7985, 7928, 7853, 7760, 7649?\n\"Answer: -9*i**2 + 6*i + 8048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 86*u - 85 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdwwkdtewwtktddtddek. What is prob of sequence wwdw?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 3. Let m(b) = b - 2. Let r(y) = -6*h(y) - 7*m(y). Let t(x) = x**3 - 3*x**2 - 3*x - 1. Let s be t(4). Is r(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 819254 divided by 1933\nAnswer: 819254\/1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/(-84))\/(0 + (-2)\/(-3)). Let c(m) = 5667*m**2 - 3*m - 4. Is c(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38720, -38735, -38790, -38909, -39116, -39435?\nAnswer: -39890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/99)\/((8\/(-2))\/(-8))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 15234553323?\nAnswer: -15234553255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16402257*l**3*n**2 + 4311*l**3*n + 10*l**3 + 70*l wrt n.\nAnswer: -32804514*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 196578, 196581, 196586, 196593?\n\"Answer: v**2 + 196577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -11, -16, 3, 1, -2 in increasing order.\nAnswer: -16, -11, -2, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.83 - -0.03. Round h to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011100 (base 2) to base 11\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 31445, -116, 0.4 in increasing order.\nAnswer: -116, 0.4, 31445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*h + h + 3*r, -3*r = 5*h - 263. Let a = -32 + h. Suppose -a = -5*d + 5*u, 2*d - 3*d + 7 = -2*u. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o + 27 - 16*o**2 + o**3 + 2*o**2 - 41. What is the units digit of s(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -61 + 16 + 128\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1154 - 1058. What is the remainder when g is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g - 12. List the prime factors of g\/16*(-4)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 5*b. Let u(y) = -y**2 - 2*y. Let r(d) = 2*n(d) + 5*u(d). Determine r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 44. Let a = 51 + v. Calculate the highest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1722 is divided by 443?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7470 - 44681\/6. What is the common denominator of g and (-1 - 351\/42) + 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -890*z - 489531. Determine t(-550).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27811599 is divided by 1638.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqgwqiwqggwwgq. Give prob of sequence wq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2485655.\nAnswer: 1\/497131","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 2664.464 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x. Let d = -7 + 3. Let v(m) = -3*m. Let j(h) = -4*h. Let w(u) = d*j(u) + 6*v(u). Give t(w(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4824*v. Let y(u) = 57*u**2. Calculate y(s(t)).\nAnswer: 1326445632*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41003, 41004, 41005?\nAnswer: 41006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*h = -u + 26, 0 = -4*u + 2*h + 68. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let i(x) be the third derivative of 0*x + 0*x**3 + 0 - 4*x**2 - 1\/24*x**4. Determine i(v(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14389 = 2743*x + 4812 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -14*a + 1352. Determine r(94).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + n + 3617 = 3620, -5*g + 2*n - 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 - 358*o**2 - 29180*o + 59800 = 0. What is o?\nAnswer: -230, -130, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -3298, -2?\nAnswer: -3298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19711.0158+-4016.3\nAnswer: 15694.7158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1074*h + 4291. Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13017357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-26))\/((-7)\/(-98)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*g - 3*f, 34 = 5*g - 2*f - 10. Calculate the highest common divisor of 90 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, y: 1, i: 2, n: 8, s: 2, k: 2}. Give prob of sequence jyj.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/((-2322)\/(-16)))\/2)\/(-37*(-392)\/21756)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 10*q**2 + q - 17. Let x = -34 + 27. What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 4475 + 295 = 0. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -853 - -859.285. Let p = 2 - 2.085. Let t = p + z. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 6\/5, -2, -139, -42?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 25*g**2 - 230*g + 410. What is k(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t**2 - 61*t + 77. Let b be u(36). Let g = b - 6322. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*j + 507*b*j**3 - b*j - 288*j**3 wrt b.\nAnswer: -2*b*j + 507*j**3 - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3511 in 7, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3081 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32043*u + 32047*u - 5 + 5.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 2*w**3 + 0*w**3 - 541 - 57*w**3 + 541 + w**2 - w**2 + 2*w**3 + (-2 + 2 - w**2)*(3*w + w - 5*w) - 2*w**3 + 2*w - 2*w - w**3 + 4*w**3 - w**3.\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12*s - 36 = 0. Let v be -3 + s + (2 - -6). Let y(p) = 3*p**2 - 2*p - 1. Let u be y(2). Solve -d = -2*c + v, -4*d - c = -u - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/9 + 290*p**4\/3 + 95896*p**3\/9 + 92152*p**2\/3 - 42624*p - 124416 = 0. Calculate p.\nAnswer: -216, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 225 = -81*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224202 + 0?\nAnswer: -224202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/25, -9, 1.6, 4304 in decreasing order.\nAnswer: 4304, 1.6, -4\/25, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18469000 divided by -1606?\nAnswer: -11500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-8))\/(3\/4). What is the closest to 2 in -4, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 271, 496, 711, 910, 1087, 1236?\n\"Answer: -t**3 + t**2 + 229*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28240 - -28241. What is the closest to 68\/7 in 0.4, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 0.5, 5 in decreasing order.\nAnswer: 142, 5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxrxurbcckkkkk. What is prob of sequence bc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 44, 6.5 in increasing order.\nAnswer: 1\/4, 6.5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -564, -539, -478, -363, -176?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*b + 8448 - 1763 + 1363 = -4952 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 0.2. Let j = 1186 + -1185.0065. Let s = t + j. Round s to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 49*l**2 + 218*l + 668. What is o(-3)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -531, -529, -527?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 6, y: 2, u: 1, l: 8, h: 1}. Give prob of picking 1 h, 1 y, 1 w, and 1 k.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h. Let q(z) = -z**2 + 171*z + 3. Calculate q(j(s)).\nAnswer: -16*s**2 - 684*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -700*i + 53182. Calculate p(76).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 17 - (3 + -1 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -878 (b) -3\/2 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 67. Let j be n(-7). What is the smallest value in j, -42, -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7715281 * -1.\nAnswer: -2.7715281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**37\/(l*l*(l\/((l\/l**(-15)*l)\/l))\/l)**39 assuming l is positive.\nAnswer: l**(4988\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:49 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, a: 5, r: 1, z: 1}. Give prob of picking 1 z, 2 m, and 1 k.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-120))\/(-1 + ((-3)\/2 - -4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 4*h - 48 - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 338\/7 in 0, 1\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174\/329 - 22\/(-517)) + -2.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25839746 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8813 > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1187 + 1197 = -5*h, -5*h = -4*z - 35. Let v(y) = y**2 + 2*y + 2. Let m be (0 - 6\/3) + 0. Let l be v(m). Solve 5*c - l = h*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 1, -5 in descending order.\nAnswer: 233, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 1:28 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4 + 379401*b**3 + 57739188*b**2 - 116995956*b = 0.\nAnswer: -154, 0, 2, 126619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -6\/5, 3, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8125 divided by -325?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 14?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -7)*30\/(-7). Let y(w) = -4*w + 2. Let q be y(1). Let v be q + (1 - 3) + 10. Calculate the greatest common factor of a and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 11332?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847810813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -o. Suppose u - 2*c - o = 0, -3*u + 5*c = -19 - 1. Suppose -3*f - 2*h + 34 = u, -3*h + 26 = 2*f - 0*f. Solve 3*a - f = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1696268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148828 and 4502047?\nAnswer: 18008188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.1 (b) -4 (c) 0.074 (d) 1.84 (e) -2\/13 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7238 - 592*g**2 - g**3 + 3*g**3 + 1512*g**2 - 932*g**2 - 331*g**4 wrt g.\nAnswer: -1324*g**3 + 6*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + 558 + -579?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -21, -90, -217, -420, -717, -1126, -1665?\nAnswer: -2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82268 is divided by 41118.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.85761 micrometers in nanometers?\nAnswer: 23857.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from qzoqqzzqzzjozzzj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkuuaacwwkaw. Give prob of sequence uac.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 711332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11196\/3421 - (-3)\/(-11). Solve -j*q = -12*q - 72 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-4)\/(-1))\/(-2). Suppose w - h + 1 = 0. Suppose -6*n - 62 + 56 = 0. Sort -5, n, w in descending order.\nAnswer: w, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x - 2 + 418 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*d - 24 = 0, -163*d = 5*c - 168*d + 20. Solve -z - c*i = i + 11, -z = i + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226131811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r*r**7)**(11\/6))**(-5\/6) assuming r is positive.\nAnswer: r**(-605\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 22*c + 12 = 2*u, -3*c = -2*u - 33. Let d = 8 + 3. Solve -d = 5*q - z, q = -3*z + 6*z + c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 + (-4 - -6). Suppose -d*n = 5*s - n - 10, 0 = -2*s + 3*n + 4. Solve -l + s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 5476?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -795?\nAnswer: -79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 (base 12) in base 13?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48218106 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20206*t**4 - 12997?\nAnswer: -80824*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3431316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 plus -1.655329?\nAnswer: 427.344671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*x + 6*x = 0, -5*x + 25 = 5*n. Let r(h) = h**2 + 17 + 4*h + 3 - 7 + 2. Let q be r(-5). What is the highest common divisor of q and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/2 - 708*d**3 + 84948*d**2 - 331344*d + 328536.\nAnswer: 3*(d - 234)**2*(d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -562 - -909. Suppose 355 - c = -a. Let u(b) = b**3 + 9*b**2 + 8*b - 7. What is u(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1144.484 litres?\nAnswer: 1144484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*j)*(12 - 12 - 8).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let x = -19 - -21. Let o(q) = -5*q + 16*q**x - 14*q**2 - 13*q. Let n(d) = -2*o(d) + 36*y(d). Let s(i) = 2*i. What is s(n(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s. Suppose -c = b + 8, -6*c + 5*b - 5 = -2*c. Let m be 3\/9 + c\/(-3). Let t(y) = -3*y + 2*y**m + 8*y - 5*y. Give t(p(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-4 + 1 + 2) + 11 - 10 - 9)*(-2*t - 4 + 4)*(-4*t**4 + 7*t**4 - 4*t**4).\nAnswer: -14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (sqrt(891) + 2 + 1 - sqrt(891)))**2.\nAnswer: 54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 p when four letters picked without replacement from {t: 6, r: 2, p: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -27*f + 6 + 47*f - 21*f. Let n = 2 + 0. Suppose o - 5 + n = 0. Determine q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2 = -2*w, -3*w - w = -3*z + 10. Let r(j) = 2*j**2 + 27*j + 72. Let p be r(-4). Sort z, 1, p in descending order.\nAnswer: 1, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224008\/1015 + 101\/203. Let k = m - -221. Let v = 1634 - 1634. What is the second smallest value in -5\/3, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 105, -4, -483, 9\/5, -1, 0.3 in ascending order.\nAnswer: -483, -4, -1, 0.3, 9\/5, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 221d4 (base 15) to base 16\nAnswer: 1a788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g, 7 = 4*b - 2*g - 9. Let y = 0.12 - 0.32. What is the second smallest value in b, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}