diff --git "a/data/dm_maths/full_data_1/1435_11255.jsonl" "b/data/dm_maths/full_data_1/1435_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1435_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -39.58*-0.01\nAnswer: 0.3958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63181334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a + 1\/2*a**2 + 1. Let l be s(4). Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -32287\/21 != -1538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/95)\/1*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1259\/5, -0.2, 2, 4130 in decreasing order.\nAnswer: 4130, 1259\/5, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - a = -2158, -u + 355 = 2*a - 361. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u - 5. Let l be g(1). Suppose -v - 10000005 = -5*j, 0*j - 2*j + l*v + 4000015 = 0. Round j to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 408235.3 to the nearest 1000.\nAnswer: 408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20888 + -5612. What is q rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*a + 68*a**2 + 4*a**2 - a - 31*a**2.\nAnswer: 41*a**2 - 4*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-24)\/(x**5\/(x**(-4)\/x)))**(-2\/95) assuming x is positive.\nAnswer: x**(4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6540.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/2 + -26. Let k = -1.919 - 0.081. What is the smallest value in 0.4, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9*(47988\/540 - (-8)\/10) is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/5))**39)**(8\/7) assuming v is positive.\nAnswer: v**(312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87306258 to the nearest integer?\nAnswer: 9344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-3)\/3 - (-2 - 0). Suppose 3*x - w*z + 26 = -8, 4*x + z = -39. Let h(p) = 2*p**2 - 5*p - 24. What is the tens digit of h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1934*p**3 - 15*p + 47 wrt p?\nAnswer: 11604*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109948\/60705 + -1\/13490. What is the common denominator of 187\/180 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 685 = -5*m, 5*b + 176 + 399 = 4*m. Calculate the highest common divisor of m and 3010.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0 + 0)*(3 + p - 3) - 148*p**2 + 198*p**2 + 349*p**2 - 2.\nAnswer: 401*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 16. Let w = t + -34. Which is the second biggest value? (a) w (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -256*x**6 - 3*x**4 + 60*x**2 + 209*x wrt x?\nAnswer: -30720*x**3 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 7. What is c(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 2*a**2 + 24*a\/5.\nAnswer: a*(a - 6)*(a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 589*m + 41263 - 10046 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46.88598nm?\nAnswer: 0.000004688598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/57 in -0.6, -0.2, -346, -2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 2*z - 4*z + z + 0 + 0 + (1 - 1 - 2*z)*(1 - 1 + 1) + 5*z + z - 2*z as k + s*z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 - 0.03. Let y = 0.72 + -0.22. Which is the third biggest value? (a) i (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*x + 101*x = 35502. Calculate the greatest common factor of 27633 and x.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/24258 and 127\/424368.\nAnswer: 1715719824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187236, -187232, -187228, -187224, -187220, -187216?\nAnswer: -187212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 - 41*n - 94. Let a be z(23). Let l = 2253 - a. List the prime factors of l.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmmmtcjccmmmcccccc. Give prob of sequence jcct.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2\/3*n**3 - 3\/2*n**2 + 0*n + 1\/24*n**4 + 1. Let p(y) be the second derivative of t(y). What is p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 20) + 13 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -554162*g**2*y + 235921*g**2 wrt y?\nAnswer: -554162*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + x = 49, 2*h + 22 = x. Let v = 1826 + -1827. What is the nearest to -1 in -0.1, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*c - 5, 2*c = 4*g + 4 - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10992, 43896, 98744, 175542, 274296, 395012, 537696?\n\"Answer: b**3 + 10966*b**2 - b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -110, -165, -222, -281, -342?\n\"Answer: -u**2 - 50*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2. Suppose -13*h = -17*h. Suppose b + 33 = 3*y - y, 5*y + 5*b - 105 = h. Let g(q) = 18 - y - 21*q**2. What is n(g(a))?\nAnswer: 1323*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 20003?\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*g + 142*g + 225. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 6*n + 4*n + (-3 + 2 + 2)*(-2 + n + 2) - 2*n + 6*n - 3*n - 4*n - 2*n + 4*n + (2 + 2*n - 2)*(1 + 1 - 4) + n + 3*n - 5*n - n + 0 + 0.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 80. What is the remainder when 59 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61595750 rounded to the nearest 100000?\nAnswer: 61600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 5)*(5101 - 579*h**2 - 5101) + 45 - 45 - 20*h**2 to the form x*h + w*h**2 + u and give w.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -43. Suppose -30 = -f*r + 12*r. What is the tens digit of 0 - (131 - r)\/(-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 0.7, -4, -1\/4, 0.6 in decreasing order.\nAnswer: 0.7, 0.6, 4\/9, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*z - 38 = 4*z, p - z - 14 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/81327567 and -187\/60?\nAnswer: 1626551340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 895294092 by 276838.\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 1.21, -1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.283401 months?\nAnswer: 0.027361675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1346\/9 - 5375\/36. Put -0.02, -4, -176, z in decreasing order.\nAnswer: z, -0.02, -4, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from fkffnnnnkkyffnfkkfy.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45033 to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**4\/24 - 8*q**2. What is the remainder when 41 is divided by v(23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*c**2 + 0 + 4\/7*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (374\/170 + (-1005)\/25).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 440, 3826, 13006, 30878, 60340?\n\"Answer: 483*c**3 - c**2 + 8*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 20*h + 40. Suppose 0 = 2*j + 5*t + 47 - 63, -20 = 2*j - 4*t. Determine n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325631675 to the power of 1\/3, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*j = -14 - 13, 5*f + 3*j - 54 = 0. Solve 5*c - f = 23*o - 20*o, 2*c - 2*o - 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 2*q)*(1 + 3 - 8 - q**2 - 2*q**4 - 2*q**3).\nAnswer: 2*q**5 + 2*q**4 + q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/1050*16*(-3)\/(-72)*-14\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239875 or 11513963\/48?\nAnswer: 239875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p - 20. Let r be p\/8 + 2\/20. Which is the closest to -1? (a) r (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 d, and 1 o when four letters picked without replacement from {o: 6, d: 6, q: 3, s: 1, g: 1}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 48, 101, 174, 273?\n\"Answer: r**3 + r**2 + 29*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179915 (base 12) to base 8.\nAnswer: 1442341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4 + 792\/7 + 122\/7*m**3 - 600\/7*m - 326\/7*m**2 - 2\/7*m**5 = 0.\nAnswer: -6, -2, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*c + 2044*c = -36168 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-1))\/v)**(-14)\/(v**3\/v**(5\/2))*(v**(2\/15)*v**(-1\/10))**(-34) assuming v is positive.\nAnswer: v**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79480793 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 39536478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5908 and 904988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = -4*c, -2*i + 3*i + 10 = -5*c. Let x(g) be the first derivative of 2\/3*g**3 - 3*g - 1\/4*g**4 + 39 - 3\/2*g**2. What is x(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 - 5 = 0. Suppose 4*g + u = -43, -3*u - 8 = i*g + 1. Let w = g - -18. Solve -4*y = 14 + w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463 is divided by 60?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3456)*(3 + -1). Suppose -2549 - x = -3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*k - 2355 = 1455, 4*s - 5*k - 5073 = 0. Suppose -526 = -5*b + r + s, r + 718 = 2*b. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**5 - z**3 + z - 1. Let m(y) = 11*y**5 - 3*y**3 - y**2 + 3*y - 3. Let r(w) = -m(w) + 3*p(w). Find the third derivative of r(u) wrt u.\nAnswer: -840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72402220 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 184 - h - 181 to w*h + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21313432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z - 11*z + 0 + 6 in the form a + h*z and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4 - 8 - 2*a - 4 + 5*a**2. Let n(w) = w**2. Let l(m) = -n(m) + y(m). What is the units digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2. Suppose 0 = -2*i - 4*b - 12, 4*i + 4*b = -4 - 4. Let k(g) = -g - i*g**2 + g. What is k(f(x))?\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4768a (base 16) to base 5\nAnswer: -33324430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23007427.\nAnswer: 661, 34807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (-2 + -2*sqrt(1300) + sqrt(1300) + 2*sqrt(1300) + 1 + 5 + 1)**2*-1.\nAnswer: -1321 - 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 31. Let b be t(12). Let j = 121 - b. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 - 188512.\nAnswer: -188754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 42832431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w**(-14)\/w)))\/w)\/w**(1\/3)*w**(-2\/5)*w*w\/(w*w**(4\/5)))**(-2\/3) assuming w is positive.\nAnswer: w**(496\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, y: 4}. What is prob of sequence go?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 72 + 54 = 14*i - 19 - 63, 2*i - 5*q = 49 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 53110 divided by -27\nAnswer: -53110\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1003, 1, -6, -2 in decreasing order.\nAnswer: 1003, 4, 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -15, -3.\nAnswer: -15, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-9))\/(3\/27). Suppose -4*x + g + 8 = 0, -5*g = 3*x - 0*g - k. Solve 3*l - x = 4, -10 = h - 3*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (-1 - (-7 - -1) - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19*d - 122. Let m(l) = -10*l - 68. Let i(b) = -11*m(b) + 6*s(b). Calculate i(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -5, 1, 5, -23 in increasing order.\nAnswer: -23, -5, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 3\/2*a**2 - 1\/6*a**3 + 0 + 2*a. Differentiate l(o) with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11492 and 1352?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - 6*f**2 + 6 - 5*f**3 - f + 3*f**3 + 0*f**2. Let i be j(6). Let t be (-27)\/12*32\/(-6). Solve w + 3*w - t = i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/105 + (-16016)\/2695.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 763*o**4\/12 - 2381*o**3\/6 + 8*o**2 - 116*o. Differentiate a(w) wrt w.\nAnswer: 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 22 = -2*r, -402*d + 397*d + r = -24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*g - 19656 + 26192 + 50392 = 0 for g.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 3b?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 3) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -215 (b) 1\/6 (c) 2 (d) 12 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 44 - 14 = 0. Suppose 0 = p - 4*p + b. Suppose 4*k = 4*d + 32, 81*d = 83*d. Solve -4*o = -2*w - p, 4*w - 2*o = 3*o - k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 - (1 + 2)). What is the least common multiple of 6\/15 - (-54)\/15 and j + 4 - (3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1000, -2047, -3132, -4255, -5416, -6615, -7852?\nAnswer: -9127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(2\/(-4)). Let z(g) = -6*g**2 - 4 - g**2 - 8*g**n + 5. Let y(m) = -m**3 - m**2. What is 6*y(w) - z(w)?\nAnswer: 2*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by ((-6942)\/(-52))\/(1 + -1 - (-3)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s + 3*s**2 - 23*s**3 + 3 + 14*s + 29*s**3 to the form r*s**3 + p + z*s + k*s**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*d - 7 - 3, -3*r = 4*d + 31. Calculate the common denominator of 121\/30 and 5\/r - -1*31\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l = -2*q + 3*q + 51*l + 75, 2*q - 57 = -216*l + 211*l for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93, 127, 103, -9, -239, -617, -1173?\n\"Answer: -5*f**3 + f**2 + 66*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 0*s + 2*s + 2)*(1 - 1 + 2).\nAnswer: -6*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 115 = -112 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15912259008 less than 108?\nAnswer: -15912258900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 112 = -106 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(-144)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**45*u**(9\/5)*(u**(-1\/4))**49 assuming u is positive.\nAnswer: u**(731\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7150 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1756*a - 3 + 3 - 1806*a. Let x(l) = -9*l. Give p(x(g)).\nAnswer: 450*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 + 48*i - 244. Does 34 divide w(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19113 - -153473\/8. Let i be 142\/(4*(-3)\/(-6)). Let j = u - i. Which is the third biggest value? (a) -1 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31380820517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 - 2*t**2 + t**2)*(-6 + 3 - 3) + (0*t + 0*t - 3*t)*(1 + 3*t - 1) in the form v + u*t + q*t**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from gmzzzazammkzzzzzzkga.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (2 - -7)) + -5 + -12 - -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.1 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + 0)*(-2 + 4). Suppose -24*k + 42 = -l*k. Solve 4 = k*g - 7*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2807 = 540*g + 597 - 4069 - 201 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y = 29*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -358, -798, -1414, -2206, -3174?\n\"Answer: -88*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33*(2\/(-6) - 0). Let z = -20 - d. Let v = z - -9. Solve 2 = -v*w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8948 divided by 4\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 303 - 307. What is the remainder when 167 is divided by 27 + d + (-1)\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 6. Let k be l(5). Let v be (k\/(-2))\/(1\/(-10)). Let t = 3 + v. Let d(j) = -j**2 + j - 2. Give d(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*t - 74 + 62, -5*k - 39 = t. Put 1, t, 4, -14 in decreasing order.\nAnswer: 4, 1, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*c - 10 - 5, -4*c + 3*m - 15 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*m - 13 + 23, 0 = -5*m - 5*o - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 31. Solve -o*n - 2 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2021 != -2022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 3*t**2 + 2*t**5 - 7*t**5 + (-6*t + 6*t - 7*t)*(t**4 - 2*t**4 - t**4).\nAnswer: 9*t**5 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19438 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-21)*(-18)\/4. Suppose -5*n = -u*n - 7200. Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144 in 0.2, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 - 4 = 0. Suppose -5*r + i*j = -8, 5*r - 4 = -j - 0*j. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - 749\nAnswer: -748.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + b = 2*b - 5*b + 3*b + 6, -36 = -4*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -136, 63, 3, -2, -3 in descending order.\nAnswer: 63, 4, 3, -2, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -13*l - 308 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87060 divided by -1451.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7813 - -7825. Let p(i) = 2*i + 7 + 1 - 1. Let k be p(t). Is 32 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11113 - -2223300?\nAnswer: 2234413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -229. Let w = -31 - i. Is 51 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 3:32 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*b - 64516 = -10*l, 0 = 5*b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k - 10. Let m be h(8). Suppose r - m*r = 0. Suppose 2 = -r*i + i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g\/g**(-1\/3)*g**6*g**(-2)\/((g**(-2)\/g)\/g*g) assuming g is positive.\nAnswer: g**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102826911*d**4 - 56*d**2 + 12009*d + 13?\nAnswer: -2467845864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d - 5*y, -2*y - 2 = 6. Suppose -4*b + d = -6*b. Let a(q) = -25*q**3 + 1. What are the prime factors of a(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 15*v - 25. Calculate the remainder when a(8) is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2. Let j(m) = 12*m**2 - m + 1. Let b(h) = j(h) + 4*k(h). Let r be b(1). Let f = r - 6. Solve -4 = 2*v + f*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54605?\nAnswer: 5, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 2*k**2 + 4 - 2 + 4*k. Let f(h) = 9*h**2 - 9*h - 4. Let d = 24 + -24. Let b be d + -5 + 3 - -4. Give b*f(o) + 5*z(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 1, l: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -5*f - 150. Solve -3*a + 8*a - f = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156334048 divided by -142.\nAnswer: 1100944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 240800045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:06 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-5) - 11\/(-55). Suppose 0 = -4*b + 3*u + 33, 3*b - 3*u = -8 + 32. Let y be 4\/51*-1*b\/(-6). What is the fourth smallest value in i, y, 3\/2, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + sqrt(20) + 0 + 0.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.37 - 8.36287. What is v rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 862417.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6. Let r be w(3). Let x = -7 - r. Is ((-20)\/15)\/(x\/102) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5379*a + x = -5373*a + 33, 0 = -5*a + 2*x - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37, -21, 7, -987?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(25\/135) - 1. Find the second derivative of 5*l**5 + 13*l - 13*l**5 - u*l**5 wrt l.\nAnswer: -680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.4 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521*x + 305*x - 44110 + 15526 = 37152 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 841 - 836. Solve -2*v - u*o + 31 = 0, 0 = 4*v - 3*o + 1 + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 - 83*q - 48 - 448*q)*(-4 - 1 - 2*q + 4) to x*q**2 + t*q + s and give t.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 9 = -o. Suppose -172000 = -o*j + 22*j. Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040 and 123696?\nAnswer: 8040240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -19. Let u(m) = m**3 + m**2 - m - 2. Let r(l) = 4*l**3 + 2*l**2 - 5*l - 5. Let c(v) = -2*r(v) + 6*u(v). Calculate c(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (2 - 2 - 104). Let t(o) = -o**2 - 2*o + 3. Let x be t(13). Let s = z - x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = -66*i - 14*i + 2279. Solve -i*q - 6*q - 59 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4677144 - 0?\nAnswer: 4677144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 k, and 1 h when four letters picked without replacement from nkkhxkkkkhghhhhngk.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3007646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, k: 2}. What is prob of picking 1 n and 2 k?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnonnon.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/11 + -107\/77. Let a be (6\/530)\/((-3)\/2). Let z = a + 1066\/795. What is the closest to -0.1 in f, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 7*j. Let o(t) be the first derivative of -t**3 + 2*t**2 - 3. Let r(d) = -7*o(d) - 4*s(d). Let i(w) = -4*w**2. Calculate i(r(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3 and 68\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*a + 4*a. Suppose 4*t - a = 15. Let f be (-3)\/(-3) + (1 - 2). Solve f = 3*k - 4*k - t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*l**2 + 2 + (16 - 9*l - 16)*(-3*l + 0*l + 4*l) - l**2 + 0 + 0 as o + i*l + r*l**2 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(176)*-2 - 2*(2 + sqrt(176)))**2.\nAnswer: 224*sqrt(11) + 2865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2. Let z(o) = -944*o + 2819*o - 940*o - 12 - 939*o. What is z(x(h))?\nAnswer: 8*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1642 - -0.1642. What is the nearest to g in -5, 4, -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (40 - (77 - 49))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17920 divided by 16?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1138\/1435 - -2\/287. Suppose 12*r + 6 - 30 = 0. Put g, r, -2 in decreasing order.\nAnswer: r, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -85. Suppose -j*d + d = 3*d. Solve 0*b - 6 = -2*b + 2*u, d = -4*b + 2*u + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1202 = -5*f, -y - 3*y - f = -1641. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 7. Let q(b) = 3*b - 8. Let z(v) = 4*g(v) + 5*q(v). Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4*a + 282 - 310, -a + 17 = 3*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**(1\/2)\/x)\/x)*(x**26\/x)\/x*x assuming x is positive.\nAnswer: x**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from jljjjll?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - t - 2*t = 3, 4*z + t = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -40*o - 63. Give n(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 18 = -2*x, q = 3*x - 20 + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -5*s**8\/336 - s**7\/42 + 11*s**6\/8 - 21*s**5\/4 + s**2 + 69*s. Determine f, given that a(f) = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55c (base 15) to base 12\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 86. Let r(c) = -90051*c**2. Calculate w(r(a)).\nAnswer: 180102*a**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001851007 rounded to six decimal places?\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4244*z + 475240. Determine v(112).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 188*a**2 + 182*a**2 - a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 298 and 12.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let f be (-195)\/(-6) - (-1)\/2. Let a be -1 - 4 - f\/(-3). Let d(m) = -2*m + 5. Let j(b) = -2. Let c(x) = a*j(x) + 2*d(x). What is u(c(i))?\nAnswer: 32*i**2 + 32*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-28)\/8 - (-42 + 31).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 0 + -25 - 42.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48570146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -49*n**3 - 1216*n**2 + 11590. Let g(z) = 23*z**3 + 607*z**2 - 5794. Let c(j) = -6*f(j) - 13*g(j). Differentiate c(y) wrt y.\nAnswer: -15*y**2 - 1190*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:13 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 39 - 33. Suppose 2*j - v = 5*z + 3*j, 2*z = -j - 12. Let x(h) = h + 5. Calculate x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*i = -12, -3*p + 0*i - 18 = -5*i. Does 5 divide (18 - p)*(12 + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8540750.\nAnswer: 2, 5, 127, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4\/(-64)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-378)\/(-84)*(-4 + -2). Is -47 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024002413 + -3?\nAnswer: -1024002421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9005\/117 >= -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310704108 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 59. What is f(-5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - m - 12, m = -m. Let q = a + 24. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (2 - -11)) + (2 - -1) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-23)*c**48)**(2\/21))**(3\/5) assuming c is positive.\nAnswer: c**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -3 - 0)*3\/(-4). Calculate the remainder when 17 is divided by (-2 + -1)*(j - (3 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101301 + -3?\nAnswer: -1101304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) - (1 + sqrt(288)*1)) - (2 + (sqrt(288) - -2*sqrt(288) - sqrt(288) - sqrt(288)))) + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28930079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416624177.\nAnswer: 41, 439, 189823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 17779.593 to the nearest one hundred.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 15102427.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15698400*g**3 + 576605668*g**2?\nAnswer: 94190400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447160034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**7\/210 - a**6\/90 + a**5\/6 - a**4\/2 + 38*a**3\/3 + 9. Let p(l) be the third derivative of f(l). Factor p(g).\nAnswer: -4*(g - 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789014 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 - 4*y**3 + 0*y**3)*(2*y**2 + 2*y**2 - 5*y**2 + 2*y**2 + 3*y**2 - 3*y**2 + (-2*y + 4*y + 0*y)*(0 + 0 + 2*y) + 1 - 1 + y**2).\nAnswer: -48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + 33\/1089*-3399?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -13. Let h = 125 - 47. Calculate the remainder when h is divided by 8\/k*(-25)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12434350 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -25390 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.22 - -47.02. Is -584 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13340 (base 6) to base 3.\nAnswer: -2211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23324 - -23326. Determine t, given that 12*t - 2\/3*t**b - 54 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*a + 5*l - 40, -a - 66 = 2*a - 26*l + 142 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brbl when four letters picked without replacement from llrrrrlrrblrrrblrrl?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, 3, -5, -0.0818166, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17340*f**3 - 2*f**2 - 161362*f.\nAnswer: 104040*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -271. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3, -7 = -2*h - h + 5*f. Suppose 0 = -h*q + 3*d + 117, 3*q + 7*d - 3*d - 119 = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26085 and 370.\nAnswer: 52170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71395 + 25263 - 9382 = -659*x + 3776*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1909*z + 532 - 2448*z - 267 - 265 + 3*z + z - 5*z + (3 - 1 - 3)*(-z - 6*z + z).\nAnswer: -4352*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31\/6 - 361\/70. Let c(u) be the third derivative of 0 + 0*u + 0*u**4 + y*u**7 + 1\/30*u**6 + 0*u**3 - 1\/168*u**8 + 4*u**2 + 0*u**5. Factor c(r).\nAnswer: -2*r**3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 24 (b) -1\/3 (c) -2 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.41 + -23.42. Let i = j + 14. Which is the closest to i? (a) 3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 62*l - 3. Let o(v) = -559*v + 26. Let g(i) = -26*f(i) - 3*o(i). Let y(c) = -c. Give g(y(n)).\nAnswer: -65*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*t + 2, -5*y = -5*t + 63 - 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 16 = 2*o, -4*j + o = -0*o + 29. Let c be (2\/(-2))\/((-2 + 4)\/j). Suppose 12*l**2 - 3*l**5 + l**5 - 4*l**4 - l - 8*l**2 + c*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*x - 3912*x**2 + 53*x - 100*x + 9904 - 3482 with respect to x.\nAnswer: -7824*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 455?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23609802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(18) + 3*sqrt(1458) + sqrt(1458))\/(sqrt(1089)*2 + sqrt(1089)))**2.\nAnswer: 74*sqrt(2)\/11 + 12539\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 5*g + 24, -4*g = -2*l + 18. Suppose -5*s + 59 = -l. Let k = 287 - 261. What is the lowest common multiple of s and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1170)\/(-2184) + (-2 - 14\/(-8)). Find o such that -50\/21*o**3 + 2*o**2 - 4\/21 + 6\/7*o**4 - w*o = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 314*y - 3. Let g(t) = 941*t - 9. Let j(b) = 3*g(b) - 8*u(b). Let h be j(3). Round h to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 37*h - 1. Calculate k(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1039329474.00000118 - 1039329441. Let i = 49 + -16. Let h = i - n. What is h rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329922849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 37 + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 + 166.921. Let h = -1532 - -1532.078953. Let s = h + j. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -138, -310, -552?\n\"Answer: -35*j**2 + 3*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8490 is divided by 212?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(3\/2) + (-8 - -8). Let k be -1*v\/(-8)*-12. Solve -k*j + 4 = 4*z, 4*j + 2 = 5*z - 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260859 - 398424 - 508899 = -64*m. Calculate the greatest common divisor of m and 1365.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.3394*0.1.\nAnswer: -1.03394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 387\/832 + -63\/64. Let n = i - 3\/13. Are n and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 5*d + 12. Let v be z(-6). Calculate the greatest common factor of 48 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13846 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 - j**3)*(-7*j + 221 - 221) - 3*j**4 + 0*j**4 + 0*j**4.\nAnswer: -17*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -80\/13. What is the closest to 2 in b, -3, 2\/25, 5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 + 22111002?\nAnswer: 22111344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30 - w**5 + 7742*w - 23589*w**2 - 3*w**5 - 30 + 24295*w**2 wrt w?\nAnswer: -80*w**3 + 1412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q**2 - 4*q + 4. Let y(v) = 207*v**2 - 63*v + 63. Let m(u) = -63*j(u) + 4*y(u). Let b(w) = -4*w + 0*w + 2*w. Determine b(m(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 7:33 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8992*b**3 - b**2 - 4118*b - 2679*b + 3658*b wrt b?\nAnswer: 53952*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 394400 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*u = 599 - 1980, 0 = 3*u - 9. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1\/3 (c) 15 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, 2\/11, -3\/5, -0.2, -40660, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 31. Put -1, -131, g, 4 in increasing order.\nAnswer: -131, -1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 7, -2.\nAnswer: -56, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/3*((-46)\/4 + 7). Let k = 79 - z. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**4 - 3*o**2 + 9*o + 3. Let w(g) = 35*g**4 + 8*g**2 - 28*g - 8. Let i(h) = -8*p(h) - 3*w(h). Find the second derivative of i(j) wrt j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010101100000110 (base 2) in base 4?\nAnswer: 322230012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 376108*i**3 - 3 + 188059*i**3 + 3 + 66*i + 188053*i**3.\nAnswer: 4*i**3 + 2*i**2 + 66*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1173*v + 198*v + 119852 = 602*v for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.227 - -4.2. Let u = n - -0.062. What is u rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - b25b?\nAnswer: -b256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.52*-1.279\nAnswer: 0.66508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 543 - 1091 + 548.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 1)\/(12\/(-126)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1344*t - 248259. Calculate v(186).\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-22)\/w*w**7)\/(w**20*w**10) assuming w is positive.\nAnswer: w**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*(sqrt(1584) + sqrt(1584) + -4) + 0)**2 - ((-1 + sqrt(1584))*-3 - (2 + sqrt(1584))*2)) + -1.\nAnswer: -132*sqrt(11) + 6354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-15))\/(4\/(-30)). Let z be (8\/78)\/(v\/9). Is 1 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38704639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1621296 divided by -5832\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:47 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 683\/427 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13.07. Suppose -5*j + m + 9 = 0, -3*j + 2*m + 13 = 2*j. Let t be (-5 + 4 + 0)*(0 + -3). Which is the biggest value? (a) t (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*h - 14, -5*h + 4*g - g = -35. Let a(v) = v + 6*v - v - v**3 + 9 + 6*v**2 + 0*v**3. Let t be a(h). Solve -t*k - 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -45. Let t be (-14)\/35*(k + 0). Let m(g) = g**2 - 7*g - 11. List the prime factors of m(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-90))\/(-1) - (-5956)\/44220. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = v + 3*m, -4*v + 5*m = v - 90. Suppose -2*n + v = 3*n. Solve 9*c + 20 = n*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1513, 3032, 4555, 6082, 7613?\nAnswer: 9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43.083 and -752.\nAnswer: -32398.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -77.5. Let q be 2\/6 + 4\/(-2). Let y = 49.8 - 50. What is the smallest value in q, y, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, 2\/13, -16.9?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.15, -236, -0.1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 3, u: 1, z: 1, n: 3, a: 1}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 4*o + 10 + 7 - 14.\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 + 7*2. Suppose -5*v - t = -4*w + w, -5*w = 2*v + 25. Let g = -0.45 - 0.05. Which is the third smallest value? (a) -0.2 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + a + 11 = -2*a, 0 = -2*x - a + 11. Find j, given that 2*j + 6*j**4 + 5*j**2 + x*j**2 - j**4 + 12*j**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236661.2ml in litres?\nAnswer: 236.6612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(2\/17))))**(-26\/3) assuming z is positive.\nAnswer: z**(-494\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n**3 - 29*n**2. Let p(s) = -s**3. Let d(f) = 5*p(f) + t(f). Let x(h) = 4*h**3 + 5*h**2. Let w(m) = 6*d(m) + 34*x(m). Solve w(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 134 + 88 = 90*s. Solve -4*x = s*h - 8, x + 3 = 4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10209.\nAnswer: 3, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 78, -0.6, 843, 0.5 in increasing order.\nAnswer: -0.6, -0.02, 0.5, 78, 843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/3 - (-12)\/(-3)*1. Suppose 6*u - u = -20. Sort u, h, 1, 0 in descending order.\nAnswer: 1, 0, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*s + 30*s - 72*s)*(8*s - 15*s - 10*s)*(2*s**2 + s**2 - 2*s**2).\nAnswer: 85*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 37, 58, 97, 160, 253, 382?\n\"Answer: a**3 + 2*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89409678.\nAnswer: 2, 3, 14901613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1857*y - 74281. Determine c(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and ((2160\/(-42))\/15)\/(48\/49 - 1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -129 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6895 = -287*a - 14644 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103212 divided by -34404?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 105.33. What is k rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.84256846 rounded to 4 dps?\nAnswer: 16.8426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t + 1. Let z be w(0). Solve 3 - z = -2*q + 4*l, 2*q = l - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 4. Let h be 10*(-4)\/b*1. Solve h*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 16. Calculate b(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 164*d - 1482. Give n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**3 + 1 - 1 + (4*q**2 + 3*q**2 - 5*q**2)*(q + 0*q - 2*q))*(7 - 10 + 4) as c*q + b*q**2 + z + f*q**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {h: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-2)\/(-2))\/((-11)\/22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 60*q + 578 = -4*q + 970 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 12. Let i(x) = 2*x**2 - 6*x + 2. Let f be i(z). Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:00 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 161.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + i**4\/8 + 13*i**3\/6 - 12*i**2. What is the units digit of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -291\/624676 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/(-405))\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -783 + 3315. What are the prime factors of l?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.25. Let o = b - -0.95. Let a = -1.0999985 + o. Round a to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(300) + 0 + sqrt(300)) - (-2 + ((-1 + sqrt(300))*-6 + sqrt(300))**2).\nAnswer: -7531 + 500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 6ab04?\nAnswer: 6ab08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(16) + sqrt(1024)))\/(sqrt(8) + sqrt(8) + (sqrt(64) + sqrt(64) + (sqrt(64)*-1 - sqrt(64)) + sqrt(64))\/sqrt(8)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + ((-1078)\/180 - 1). Let n(y) be the second derivative of 0*y**3 - a*y**6 - 1\/60*y**5 - 1\/108*y**4 - 1\/378*y**7 - 4*y + 0 + 0*y**2. Factor n(j).\nAnswer: -j**2*(j + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-11))*i**(1\/2))\/(i**8\/i**(-3)) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d + 2. Let l(o) = 13*o + 3. Calculate -7*i(t) + 4*l(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60.95902ml?\nAnswer: 0.06095902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 - -8.67. Let k = -32 + s. Let m = -22.8 - k. Which is the nearest to m? (a) -5 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaaqqpaasbspqaasq. Give prob of picking 1 s, 1 p, and 1 a.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -5*a**4\/24 - 4*a**3\/3 + 6*a**2. What is the derivative of y(l) wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 11. Suppose -3*d = 5*m - 65, l = -3*d - 3*m - m + 64. Suppose -3*b + d = b. Solve i = -b + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 722, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = 0, -3*r - 3 + 11 = -4*k. Let f(y) = -3*y + 1. Let n(c) = -2*c + 1. Let m(t) = -5*f(t) + 4*n(t). What is m(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -8 in descending order.\nAnswer: 3, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 25*a + 171 + 1 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 3*p + (-3 + 5 + 0)*(-1 + 1 - p))*(15 - 15 + 5*p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 2773400?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/9 + 16*u\/9 = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -215, -337, -459, -581, -703?\n\"Answer: -122*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3\/7 (c) -28 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297057 is divided by 49502?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0*j + 0*j + 7*j. Is p(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 45*a**2 + 37*a - 1711. Determine g(45).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t + 4*t)*(4*t + 0 + 0) + 5 - 59*t**2 + 56*t**2 + 0 to q + a*t**2 + d*t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**7\/2520 + v**5\/20 + 5*v**2. Let q(b) be the third derivative of t(b). Let j(h) = -38*h**2. Give q(j(f)).\nAnswer: -76*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 43*b + 38. Let q be a(5). Suppose -4*f + 3*f + q = 3*k, 0 = -f - 2. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385000 is divided by 208.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2421897759?\nAnswer: -2\/2421897759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let h be a(-2). What is the common denominator of (2 - h) + 196\/32 and 61\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, z: 2, c: 6, d: 2, e: 1}. What is prob of sequence cdq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + m - 3*m + 11 - 11 + 11*m + (0 + 0 + 1)*(0 - 3*m + 0) - m + 2 - 2 to the form d*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708610816 to the power of 1\/2, to the nearest integer?\nAnswer: 41335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 14 = 3*a - 9, a + 11 = -4*n. Let t be 2 + (n - -2 - -1). List the prime factors of 11 + t*(1 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142906.75 and 4?\nAnswer: -571627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 1. Let h = 13 + -29. Let s = h - -17. What is the second biggest value in w, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -164, -321, -474, -623, -768, -909, -1046?\n\"Answer: 2*x**2 - 163*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 - 2099544*x**2 + 16796448*x.\nAnswer: -3*x*(x - 8)*(x + 1399704)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 5, q: 2, a: 9, s: 1}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 0, -12 in decreasing order.\nAnswer: 21, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 3*b. Let z be p(2). Let k be (-13)\/5 - (-2)\/(-5). Let j(q) = 3*q. Let g(w) = w**2 + 4*w - 1. Let y(x) = k*j(x) + 2*g(x). Give y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 97204 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maomfjqa. What is prob of picking 1 o, 1 j, and 1 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 + 3. Let p = -199\/30 - -13\/2. What is the second biggest value in p, n, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 8*p**2 - 27*p - 15. Let y be r(-6). Let a be (y\/(-7))\/(68*2\/28). Which is smaller: a or 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -108. Let t = -98 - -4408\/45. Let b = 13\/45 - t. Sort 4\/7, a, b.\nAnswer: a, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 3*x**2 + 0*x - 3*x**2 + x. Let f(u) = -3*u. Calculate q(f(c)).\nAnswer: -54*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1 + 1*(4 + 0) + 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84\/19 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 7*v - 3*v. Factor 1\/2*j**3 + 0 + v*j**2 + 0*j - 1\/4*j**4.\nAnswer: -j**3*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - q - 1. Let r(v) = v + 1. Let x(n) = j(n) + r(n). Let p = 10 + -14. Is x(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 - 9*n - 8. Is h(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 553 + -559. Let s be a\/24 - (-25)\/20*177. Calculate the greatest common factor of 34 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 10\/6)*12. Suppose -z*o + 4 = 2*b, 4*o = 3*b - 0 - 6. Solve a - 1 + b = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 - 27 = -4882*p + 4900*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 46. Let d(z) be the second derivative of -1\/25*z**5 + 3*z + 0*z**2 - 1\/75*z**6 + 0*z**3 - 1\/30*z**p + 0. Find v, given that d(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -167\/4. What is the closest to 2\/5 in 1, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.344 + -0.044. What is the smallest value in 2, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-5 - -1))*((-16)\/(-18))\/8.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/60184)\/(75\/680). Let p = 729392261\/677070 + x. Let z = 1071 - p. What is the common denominator of z and 35\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36130 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1427 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 217149435 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -49. Suppose r = -7*l + 40. Solve l*i + 12 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/128 and -9\/80?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/4 - 21787*r + 479193 = 0.\nAnswer: 22, 87126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.386186 litres in millilitres?\nAnswer: 5386.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 355 + -508. Let n = -86 - x. Let q = n + -64.96. What is q rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -161023*a - 1902. Let l be i(26). Round l to the nearest 10000.\nAnswer: -4190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/120 + a**5\/60 + a**3\/6 - 29*a**2. What is the tens digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77632794?\nAnswer: 2, 3, 251, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/(-9)*48\/32?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1.32 (c) -10\/3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 48.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103530 and 7409535.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1317*y - 85612. Calculate a(65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68466 is divided by 13692.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 94 = -98 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -9. Suppose 4*d - 56 = s, j*d + 5*s - 23 = -4. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 = 3*x - 2*i, 3*x - i = 998 - 16. Let q = x - 23. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5759108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 4*g**3 - 4*g + g**3 + 4*g + (3 + 2*g**2 - 3)*(-g + 2 - 2) + (-2*g + 2*g - g)*(-5*g**2 - 3*g**2 + g**2).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 + 245 - 1003 + 243 - v + 256.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 34.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + ((sqrt(1900)*1)**2 + 0 - sqrt(1900)) + 2.\nAnswer: -10*sqrt(19) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61719.3 + 158347479.\nAnswer: 158409198.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/12 + r**2\/2 - r + 110. Let d(i) be the second derivative of f(i). Let x(l) = -58*l - 1. Calculate d(x(b)).\nAnswer: 116*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*r + 30 = -4*m, 4*r = 5*m + 45. Let z(v) = v**3 + 6*v**2 + 4*v - 5. Let c be z(m). Suppose -4*w + c*w = -16. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2110, -4231, -6346, -8455?\n\"Answer: 3*v**2 - 2130*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6)*(-92)\/322?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 6. Suppose 6 = -c - 2*c. Let u be (-4)\/c - 18\/3. Sort u, 2, x.\nAnswer: u, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/377881 and 101\/6.\nAnswer: 2267286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 33075.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w**3 + 74*w**2 - 17*w + 19169?\nAnswer: 3*w**2 + 148*w - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 291.3726um?\nAnswer: 0.0000002913726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7393463 and -23\/1508870.\nAnswer: 73934630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -17 - 13 - 20 + 49 - 6*g. Determine r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = -7*w + 72*w + 24*w + 2945 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17134 + 8753 - 78*j**3 + 9022.\nAnswer: -78*j**3 + 641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280747726.\nAnswer: 2, 89, 18431167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 106 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:31 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*z = u - 698*z - 5, 2*z = -3*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -62. Which is the third smallest value? (a) -1\/6 (b) w (c) 2\/21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:48 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.31 (b) -24 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/628 and 11\/5.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -45. What is the highest common factor of 385 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -4\/65 (c) 4\/3 (d) 0.164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0 + 11\/120*p**6 + 0*p + 0*p**5 + 13\/24*p**4 + 0*p**3 + 12*p**2. What is the second derivative of u(b) wrt b?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 16. Suppose -5*q + 3*q + m = 0. Let i(b) = 7*b - 2. Is i(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3166.008 litres to millilitres.\nAnswer: 3166008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*(-104)\/(286\/11).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/16*(-34 - -38). Let p(s) = -s**2 + 4*s - 3. Let k(u) = 2*u**2 - 5*u + 2. What is x*k(h) - 4*p(h)?\nAnswer: -2*h**2 - h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 46\/53 (b) 0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2144 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46002258*x**2 + 29*x - 152511.\nAnswer: 92004516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 12*b**2 - 10*b - 24. Let m be j(-11). Find the common denominator of -113\/18 and (-39)\/m*154\/(-88).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 332.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*l**6 + 0 - l**2 - 3*l - 394*l**6 + 3*l + 23 wrt l?\nAnswer: -38640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4, -38 in descending order.\nAnswer: 4, 1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 369.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1244915 or 6224568\/5?\nAnswer: 1244915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20302)\/(-20) - (118\/(-20) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2327, 2318, 2279, 2192, 2039?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (13 - 36) - 7 - (0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:47 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - 44*d**4 + d**2 + 58.\nAnswer: 120*d**2 - 1056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 5 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2075 + 3616. Let z = 1542.462 - h. What is z rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 5, 0.3, -2\/5, 3001, -13 in increasing order.\nAnswer: -13, -2\/5, 0.02, 0.3, 5, 3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - g + 3 = 0, -2*g = -107*s + 104*s + 8. Calculate the remainder when 170 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -340.5 + 244. Round f to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 8 + 6 - 4)*(65*w + 93*w + 91*w).\nAnswer: 747*w**3 + 2490*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26251234433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/15 - (7606\/(-25))\/(6\/30). Calculate the greatest common divisor of o and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87798140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 6*t - 2*t + 2*t + 2*t + 9 - t + (0*t - t - t)*(-5 - 1 + 2) - 14*t - 21*t + 19*t.\nAnswer: -3*t + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 - 151. Find the common denominator of 5\/4 and (-2)\/8 - (-92)\/h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765335937 a multiple of 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 164789?\nAnswer: -164791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 36725*t**2 + 67454640*t + 67417920.\nAnswer: 5*(t + 1)*(t + 3672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 13 = 1, 5*s = -4*p + 23. Let h(q) = -q**2 + 1. Let y be h(p). Let l be (12\/9 + 0)*y. Which is the third biggest value? (a) 0.2 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - 224*(-54)\/(-62208)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 4*k + 5*k)*(9 - 71 - 3) - 3*k + 3*k - k.\nAnswer: 129*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212012 - 111?\nAnswer: 11211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 88, 156, 244, 352, 480?\n\"Answer: 10*o**2 + 18*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**2)**47)**(-12))**(2\/59))**(8\/9) assuming y is positive.\nAnswer: y**(-6016\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 4*r)*(-3 - 1 - 1 + 0) + (-8*r - 2*r + 2*r)*(-1 - 2 + 1).\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -7727*t**4\/24 + 2320*t**3 - 35*t**2 - 4*t - 3. What is the first derivative of m(n) wrt n?\nAnswer: -7727","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 64 = -22*g. Which is smaller: 17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((3\/(-12)*1)\/(612\/360))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-21 - -27)) + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1305 = 182*v - 151 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y. Suppose 0 = -2*h - 10 + 14. Give j(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 2, u: 1, l: 1}. What is prob of picking 1 z and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-2))\/((-11)\/(-246334)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -192 - 636. Let n = -85 - k. What is the second derivative of 122 - 2*u - 5*u**3 - n wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 965868832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/12? (a) 0.4 (b) 4 (c) -1 (d) -0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**2 - b**3 + 5*b**2 - 2 + 3*b + 0*b**3 + b. Calculate h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52684 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(126\/(-516))*12*-1. Let r = 209 - d. Let a be (-34)\/9 - (-30)\/r. Sort -5, 1, a, -3.\nAnswer: -5, a, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*n + 461. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 6*h + 5*h + (-h + 2*h + h)*(2 - 2 - 2).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 3*u**2 - 4*u**2)*(2*u + u - u) + (3*u**2 - 4*u**2 + 6*u**2)*(-173 - 5*u + 173)*(1 - 1 - 4).\nAnswer: 102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1391 - 4495 = 3*n. Let o = 570993 - 4583677\/8. Let u = n - o. What is the common denominator of u and -11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.217359564 to 5 decimal places.\nAnswer: -0.21736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*l = 272*l + 165 - 2037 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 3499 - 10847. What is the remainder when j is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + a - 266 = 0, 4*y + 5*a - 2*a = -522. Let n = y - -200. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/26, 3926, 1, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 3*d + 12*d - 60 + 8*d. Let w be c(4). Solve -36 = 4*f - 4*l, w = 2*l - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*k - 48984 = 24449 + 81170 for k.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.8. Let n = -7 + z. Let l = n - -6.1. Which is the second smallest value? (a) l (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-6))\/((-14)\/2583) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-11077)\/7049)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6146113 - 2?\nAnswer: -6146115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2053*q**2. Let v(c) be the third derivative of -c**5\/60 - 1138*c**2. Determine f(v(r)).\nAnswer: -2053*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 times -440.7\nAnswer: 15.4245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 49*k**2 + 5*k - 13. Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 52544843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 87179298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10 - (-5 + (5 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*l - 106376, 4*n + 21284 = 5*n + 5*l. Suppose 18*d = n + 6392. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4*(7 - 3). Suppose 5*s - 23 + 3 = 0, 3*s - 48 = 3*i. Let w = i + m. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -93, 2, -1, 5 in ascending order.\nAnswer: -93, -1, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 1, j: 1, y: 2}. What is prob of picking 2 r and 1 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 307 and 432563.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-4)*71\/21300*870?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (10 - ((14 - 2) + 14))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -27938*u + 27767. Determine i(1).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r - 6. Is -5 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3)*(-2*g**3 + 33 - 33 + 4*g**2).\nAnswer: -6*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 45*h**2 + 49*h + 3232. Give s(42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 6*l + 1. Let z be n(-7). What are the prime factors of 108\/z - (-3)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Suppose u = -5*t + 9, -4*t = -y - 11. Let n be (-8)\/32*(-8)\/u. Which is the nearest to n? (a) -4 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2760 and 550.\nAnswer: 151800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -550757?\nAnswer: -550757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 25*r**2 + 85*r - 195. Let m(f) = -4*f**2 + f - 1. Let j(q) = 5*m(q) + y(q). Factor j(g).\nAnswer: 5*(g - 2)*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97229773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (sqrt(475) + 0)*-4) + 3*(sqrt(475) + -1*2*sqrt(475) + sqrt(475))*3)**2 + -3.\nAnswer: 360*sqrt(19) + 68406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w - 3*u + 4, 0 = 2*w - 2*u - 12. Suppose 1 = -2*p + w. Solve p*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b**2 - 453*b - 58. Is s(53) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x + 68*x**2 + 433*x**2 + 323*x**2 + 6*x to b + m*x**2 + a*x and give m.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 10*l + 17*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19480 - 3*g - 12*g**2 + 3*g + 19480 + 3*g + 4*g.\nAnswer: -12*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -10. Solve -3*k + 2*v - 3 = -5, -v = -2*k + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/13 in -10\/9, 126.9, -3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Suppose 0 = -2*y + w - 5, 0*y = y - 2*w + 7. Which is the smallest value? (a) m (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 3, r: 3}. Give prob of picking 1 j and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0206899603 - 149.0917615397. Let a = c + 83.112468. Let u = -66 - a. Round u to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29212 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoor when four letters picked without replacement from {o: 4, j: 3, r: 2, e: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(63)\/(sqrt(28)\/sqrt(4) + sqrt(7))) + (4*(5 + sqrt(9)\/sqrt(3)))**2.\nAnswer: 162*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 4*w - 7. Let g(v) = -4*v**2 + 5*v + 5. Calculate 3*g(h) + 2*s(h).\nAnswer: -2*h**2 + 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 329, 31 in increasing order.\nAnswer: 1, 5, 31, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 1528 = 250. Let o = 333 + v. Suppose 36*g - 40*g + o = 0. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-884)\/17*(-1 - 6). What is the third derivative of 19*w**2 + 355*w**3 + 1 - 1 - p*w**3 wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - c**4\/6 + c**3\/2 - c**2. Let z be n(5). Suppose 2*o - 10 = z. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-6)*(-96)\/(-1120))\/(-1)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 13*s**2 - 28*s - 19. Let u be 9\/(-5)*(-200)\/24. Let j be p(u). Let t(v) = 5*v - 8. Let n(i) = 14*i - 23. Calculate j*t(k) - 4*n(k).\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 555 - 556. Are -2\/423 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 + t**4\/3 - t**2\/2 + 7*t. Give i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85630 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74172 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 221*s**2 + 1. What is the hundreds digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:19 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 22*y**3 - 17*y**2 + 2*y**2 + 21*y**3 to f*y + o + p*y**2 + k*y**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26469 and 402237?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a, -2*r + 792 = -7*a + 3*a. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j**2 + 917*j + 138. Calculate s(-61).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 34380822, -5 in decreasing order.\nAnswer: 34380822, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488436?\nAnswer: 2, 3, 13, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/((-2)\/33). Let c = 1 + f. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 9. Determine o(-18).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3\/3 - 58684*n**2\/3 + 214797436*n\/3 + 1078392980 = 0. Calculate n.\nAnswer: -15, 7343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.057t in milligrams?\nAnswer: 450057000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2. Let t(v) be the third derivative of 0*v + 0 + v**2 + 0*v**3 - 1\/12*v**4. Determine s(t(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 - 5*g + 4. Let z be f(3). Suppose -4*q + z = q. Let l be ((-6)\/q)\/(6\/(-15)). Solve l*h + 2*h = 4*x - 19, -3*h = 3*x + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -67*r. Let i(q) = -3*q + 2. Let g(m) = 7*m - 5. Let p(t) = 2*g(t) + 5*i(t). Give p(z(w)).\nAnswer: 67*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -9. Let j = l + -9.2. Let x = j - 4. Sort 0.5, -2, x in increasing order.\nAnswer: -2, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 26*y - 115. Let m be x(-19). Suppose -14*n = 38 + m. Let s(p) = -p**3 - 5*p**2 - 7*p - 8. Calculate s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/7 - y**4\/7 - 171*y**3\/7 + 509*y**2\/7 - 506*y\/7 + 24 = 0. What is y?\nAnswer: -14, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 3*a**3 + a**3 - 2*a**3 + 3*a**3 - 2*a**3 + (-a - 3*a + 3*a)*(-6*a**2 - a**2 + 4*a**2) as s*a**2 + q + l*a + y*a**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3730180134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + 5*k + 17. What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 459908, 919850, 1379804, 1839776, 2299772, 2759798?\n\"Answer: a**3 + 459935*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 - m - 28. Suppose 0*u - 2*u = 0. Let r be l(u). Let n = -15 - r. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 1 - 4*r + 0)*(-4*r**4 + r**3 - 2*r**4 + 4*r**4).\nAnswer: 2*r**5 - 3*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s, -s = 3*n - 12. Suppose -4*i - 5*v = i - 112499985, 0 = n*v + 12. What is i rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 300 + -290. Let t = -30 - -58. Calculate the remainder when t is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3134 - 0.6134. Let v(t) = 4*t + 1. Let p be v(1). Which is the nearest to h? (a) -2 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 + -256. Let t = 5 + -3. Factor -1 + 30*s + 50*s**t - 10*s - 2 + u.\nAnswer: 2*(5*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Let m(c) = 4*c - 8. Let v(b) = 12*b + 16. Let o be v(-2). Calculate o*h(s) - m(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epu when three letters picked without replacement from epekuukueeppfuufeue.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**28\/p**(14\/3)*p**(2\/91)\/(p*(p*p*p*(p\/((p\/p**(7\/5))\/p))\/p*p*p)\/p*p) assuming p is positive.\nAnswer: p**(21779\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10093 = 179*u - 14967. What is the greatest common factor of 250 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 22. Let x = 24 + v. Which is the nearest to x? (a) 1 (b) -5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 392 and 280.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7501829 is divided by 4751.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*v - 3*v - 14 = 0, 3*v - 4 = y. Let k = y + -6. Let m be (k + 8)*(0 - -1). Let u(q) = q**2 - 4*q + 3. Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 36 (c) -2\/73 (d) -2\/165 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.44 to zero dps.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-50)\/(-6) - (-6)\/(-18). Which is the smallest value? (a) r (b) 0 (c) -1 (d) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -10*z + 100. Let i = 12 + -10. Let q(t) = 3*t**2 + 34*t + 5. Let b be q(-12). Solve -5*f = -i*k - 0*f - b, -z = -4*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2) + 1 + 0. Suppose -t + 4*p - 4 = -7, -2*p + 2 = 0. Calculate the greatest common divisor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-9)\/b)*b\/(b**(9\/2)*b)*b**(-2\/11)*b**(1\/6) assuming b is positive.\nAnswer: b**(214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Let k(n) = 44*n**2 + 1. Let d(v) = -1. Let a(l) = -2*d(l) - k(l). Calculate q(a(y)).\nAnswer: -5808*y**4 + 264*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -217377 (base 9) to base 3\nAnswer: -20121102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(300) - (sqrt(300) + sqrt(300) + (1 + sqrt(300) - sqrt(300)))) + sqrt(300))*-4)**2*6.\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.01535\nAnswer: 0.007675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3774 and 12.\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9\/19 + 107\/95. Let v(y) be the first derivative of -a*y + 4\/5*y**2 - 2\/15*y**3 + 2. Factor v(j).\nAnswer: -2*(j - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120a61 (base 11) to base 14\nAnswer: -4db86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001188 to 6 dps.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9201 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*i - 8108 - 2012 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*q**4 + 6*q - q - 2*q - 1 in the form l + m*q**4 + d*q**2 + f*q + y*q**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2782 - 2806. Is z > -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -133*y**2 + 5*y. Let m be z(4). Suppose -5*p = -3*d - 31, d - 2*p + 12 = -0*p. What is the units digit of (m\/6)\/d - 46\/69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 34 + 0*q**2 + 1\/2*q**4 + 14*q + 44\/5*q**5 + 0*q**3. Find the first derivative of r(a) wrt a.\nAnswer: 176*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 - 2.2. Let h = -6 - -6.4. Let g = 54 + -57. Which is the biggest value? (a) g (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3)\/(6\/9). Let b be (-2)\/(v\/(6\/(-3))). What is the tens digit of b\/(-1*(-2)\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4752952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + 2*j)*(-15 - 5 - 21).\nAnswer: -82*j + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 10 = 176*d - 180*d, -3*q - d = -5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124383 and 521241?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**8\/840 + a**7\/420 - a**6\/45 - a**5\/15 + 11*a**3\/6 + 9*a - 4. Let r(o) be the second derivative of k(o). Factor r(w).\nAnswer: 2*w*(w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 8:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*k**2 + 112*k**2 + 11*k**2 + 315*k to a + u*k + t*k**2 and give u.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 0.03?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(6*2\/36). Solve -3*p = -o - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2. Let n be s(1). Factor -6*x**n + x**2 + 3*x**2 - 2*x - 7*x**2 - 4*x**3.\nAnswer: -x*(x + 2)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-15872)\/(-2)*(413\/28 + -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -48. Let s be 680 + (-6 + 2 - z\/3). Is (14\/(-42))\/((-2)\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/9 + 14*g**2\/9 - 64*g\/9 + 32\/3 = 0. Calculate g.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 1 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -462, -698, -936, -1176?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b2a38e (base 16) to base 2\nAnswer: 101100101010001110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 359 - -9?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.12 + -0.12. Let m(a) = -4*a**3 + 58*a**2 + 32*a - 27. Let y be m(15). What is the nearest to -0.1 in o, -5, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 8*z - 1168*z**2 - 2*z.\nAnswer: -1168*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2*l**5\/5 + l**4 - 2*l**2 + 2*l + 9. Factor b(i).\nAnswer: -2*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.41 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6565 + -6565. Let h(w) = -w - 4. Let l be h(-6). Suppose l*d = 4*b - 2*d + 12, b + 23 = 5*d. Solve b*t - 2*k - 9 + 3 = g, -3*t = 4*k - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j**2)*(5 - 5 + 16*j**2) - 24*j**4 + 77 - 77.\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3, -3*x - 5*m - 17 - 43 = 0. Let j be x + 0 + (2 - 1). Is 2*j*2\/(-8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8 and (0 - 3) + 775\/70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/10)\/((-14)\/(-4)). Let v = 1 - -9. Suppose -v*p + 4*p + 60 = 0. Put p, c, -4 in descending order.\nAnswer: p, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2282 = -2172*j - 14205 - 22829 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171.35 * -4.\nAnswer: -685.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -25. Let x = j - 16. What is the remainder when 20 is divided by 14*(-1 + (-9)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6614*w**2 - 2 - w + 0*w + 3*w.\nAnswer: 6614*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 + -6 + 4 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 104*p + 13539. Determine j(-130).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -26*q + 336. Solve -4*c - q = -4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 40 = -5*i, -13036 = 5*w - 13061 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 125117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*s**5\/4 + 249*s**4\/4 - 15*s**3 - 240*s**2 - 192*s - 36 = 0.\nAnswer: -3, -2, -2\/3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 11418?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5291, -5293, -5295, -5297?\n\"Answer: -2*y - 5289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxiiix. What is prob of sequence iixi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5876, 23466, 52794, 93866, 146688, 211266, 287606?\n\"Answer: h**3 + 5863*h**2 - 6*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/123*(8 + -5).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-8) - 6\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9398 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 6 = -7*x - 6*q, 4*q = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2)\/1 + 3 - 19900001. What is z rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 75493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 83 = -i, 2*i - 5*i + 3 = 0. Suppose 5 = d, -u + 3*u + 4*d - r = 0. Is 2\/u - 529\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -11.3\nAnswer: -101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 - 32 = 0. Suppose l = -j - p + 7, -p = -j - 15. Let t = -15 - j. Solve 9 = -x + t*r, 2*x - 10 + 25 = 3*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -2280.\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144935 - 524317 = -12087*g + 660318 for g.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 21, 45, 91, 165, 273, 421?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5808 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Let w(z) = 5*z + 1257. Give 3*v(s) + w(s).\nAnswer: -s + 1257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1539636 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k - 1. Let b(q) = 5*q**2 - 4*q - 2. Let m(p) = -b(p) + 6*j(p). Let w be m(3). Is (-16)\/8 - w*25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -638, 3, 5, -5 in increasing order.\nAnswer: -638, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 12\/185, -4, 2\/5, -2, -27\/7, -1\/3?\nAnswer: 12\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59549480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4531*b - 3070*b - 163713 + 1290 - 217627 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, -3\/2, -3\/61, 2, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008922 to six decimal places.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -14. Suppose -320 = 2*r - l*r. Is r a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/(-25))\/(2\/(-25)). Let n be -1 - (36\/(-15) + (-6)\/10). Suppose n*r - d = -r. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/61689?\nAnswer: -1\/61689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30202368 and 8162?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuouoooouu. What is prob of picking 1 u and 1 o?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259987 - 259987 - 7932*q**2.\nAnswer: -7932*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 4*t - 3*t + (-4 - 4 - 2)*(8*t - 9*t + 6*t) in the form l + c*t and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -140*f + 104. List the prime factors of u(-11).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -2, 196 in descending order.\nAnswer: 196, 8, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 < 284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 1. Let t(b) = 3*b - 1. Let x(r) = 7*t(r) + 6*u(r). Determine x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. What are the prime factors of 330 + 0 + t + -8?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 49 = -19*b - 34*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:49 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*s + 64, -132 = -5*w + 28*s - 32*s. Solve -w*t + 12 = -25*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 189*z**2 - z + 13. Let h(v) = -227*v**2 + v - 13. Let l(o) = -5*h(o) - 6*n(o). Give l(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*z + 42715*k - 7541*z**2 - z wrt z.\nAnswer: k - 15082*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63, 78, 107, 156, 231?\n\"Answer: w**3 + w**2 + 5*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**2\/2 - 6*a - 37. Give q(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5 + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - h = -399 + 5, -4*n + h + 317 = 0. What are the prime factors of n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/8 + 5*j**3\/6 - 3*j**2\/2 + 25*j - 51. Let w(a) be the second derivative of q(a). Give w(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -22 + 11 - -13 - 0*(-4)\/(-16). Solve 5*s + 38 = 3*m, y*m - 74*s = -77*s for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-65)\/25*5 + (-14)\/2. Put 0, -13, g, 1 in decreasing order.\nAnswer: 1, 0, -13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:57 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose r*g - 11 = -1. Suppose 7*m = g*m + 24. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -74. Let b(x) = -9 + 9 + m*x**2 - 52*x**2. Let h(g) = 22*g. Determine h(b(j)).\nAnswer: 176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-3*sqrt(9)) + -2 + sqrt(162) + (-5 + -4*1*sqrt(2) + 2)**2.\nAnswer: 39 + 98*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4982 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032 a factor of 23273632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:44 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u - 4*u)*(-4*u**4 - 4*u**4 + 5*u**4) - 9*u**3 - 4*u**5 + 9*u**3.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-141322)\/(-107730) + 7 + 252\/(-30) and -32\/27.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 186\/26 - (-91)\/(-13). What is the nearest to -1\/29 in w, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(110\/165)\/((-46)\/(-253)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**6\/360 - k**5\/60 + k**4\/12 + 25*k**3\/6 + k + 6. Let x(c) be the second derivative of m(c). What is x(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5) - (-1521)\/15. Suppose 18*y - s = 15*y. Let c = y + -22. Calculate the lowest common multiple of c and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151389.6 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-3400)\/(-1488)) + 114\/10 + -13?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -29. Let k(r) = -13*r**2 - 11. Let b(h) = 14*h**2 + 11. Let o(f) = c*b(f) + 6*k(f). What is the derivative of o(q) wrt q?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2 + 182530*g - 1665860045 = 0.\nAnswer: 18253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*(-24)\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 + 2338*u**2 - 520*u**2 + 9.\nAnswer: 1818*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:11 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + sqrt(17) + 1 + sqrt(17))**2 + (sqrt(17) + 0 + 0)**2 - sqrt(85)\/(sqrt(15)\/(sqrt(3) - (sqrt(3) + sqrt(12)))).\nAnswer: 20*sqrt(17) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111153057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + 3 + 3 + -1. Let r be s - 1 - (0 - 32). List the prime factors of 2\/(-3) + r\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.8 + -5.69. Which is the closest to r? (a) 2\/7 (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0087207765 rounded to 6 dps?\nAnswer: -0.008721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83258 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 15 = 13*d. Let z be 20\/2*4\/50. Which is the third biggest value? (a) d (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143709 - 65144. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -13. Let u = r + 12. Let d(h) = 2*h**3 + h**2 - 2*h. Let s be d(2). Solve 0*m + 4*j = 3*m + 15, -s = 4*m - u*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343 + 364. Suppose 1 = 2*i - 21. Calculate the remainder when o is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591199 smaller than 14591204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5745, 0, 5\/2, -9 in descending order.\nAnswer: 5\/2, 0, -0.5745, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1280.733552s to weeks.\nAnswer: 0.002117615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 17. What is the smallest common multiple of -6*((-8)\/14)\/((-30)\/(-105)) and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 2*k + 2*k - 8 + 4*k. What is the remainder when 4 is divided by y(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 140.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7aa - 84619?\nAnswer: -8391a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/3, 646, 0.5, -4?\nAnswer: 646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2874*r + 450 = -2904*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -755, -1517, -2285, -3065, -3863?\nAnswer: -4685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a6ce8 (base 16) to base 4.\nAnswer: -32212303220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -46. Suppose -2*w = 2*w - h. Suppose -w*u + 2*u = -12. Solve 3 = -3*i - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = k + 3*l + 10, -4*l + 20 = 0. Let g = 123 - k. Suppose -5*p + g = 4*f - 220, -3*f + 131 = 2*p. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 1285*d**4\/24 + 925*d**3\/6 + 1998*d**2. Differentiate i(l) wrt l.\nAnswer: 1285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -966.6 + 967. What is the second biggest value in 0.5, 2\/3, -0.3, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -2*c, -11 + 7 = 4*t. Suppose 0*j + 5*j - 3169 = p, c*j + 5*p - 1907 = 0. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160025232 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -977, -1459, -1979, -2549?\nAnswer: -3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62461 < 62458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q**3 + 76*q**3 - 149*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2457270*0.4\nAnswer: -982908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(-23\/5)\/(b**(1\/2)*b)**(1\/24) assuming b is positive.\nAnswer: b**(353\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/5032 and -7\/184.\nAnswer: 115736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5024, 4897, 4770?\n\"Answer: -127*t + 5151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 21.89. Let x = -0.89 - a. Is x smaller than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 + 281.75. Let h = -3.35 - v. What is h rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -1012, -1012, -1014, -1018, -1024, -1032?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:28 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/720 and 7\/((-77)\/99) + 10967\/1056.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -587, 3, 9, -399 in ascending order.\nAnswer: -587, -399, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6207622546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.11, 2, 3, -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 4136.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/9)*y))**(-41)*y**9\/(y*(y\/(y\/y**(1\/2))*y)\/y) assuming y is positive.\nAnswer: y**(299\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 4 + 4 - 4*u**2 + 7*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**2 - 20. Let n(f) = -2*f - f + 2*f. Determine x(n(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s + 1 = 0. Let j be 4\/((s + -3)\/(-2)). What is the third derivative of 0*z**5 + 5*z**6 + j*z**2 + z**6 + 0*z**5 wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54234372 divided by 4?\nAnswer: 13558593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**7\/30 - p**3 + 8*p**2. Differentiate t(q) with respect to q.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*w - 297 = 479 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55677*j**5 + 385098*j?\nAnswer: 1113540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - b**2 + 6 - 3)*(-7*b + 6*b - 19*b + (-1 + 2 - 2)*(-2*b - 2 + 2) + 3*b - 3*b + 2*b).\nAnswer: 16*b**3 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/2 + 843*y**3 + 3364*y**2 = 0?\nAnswer: -1682, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 483\/1610*(-5)\/6*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/390)\/(210\/(-180)))\/(450\/(-525))?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 195*c**3*g + 2*c**2*g**2 - 251*g**2 wrt c?\nAnswer: 585*c**2*g + 4*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.027, 0, 1 in decreasing order.\nAnswer: 1, 0.027, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (8 + -5 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -1\/90*x**5 + 0 - 8\/3*x**3 + 0*x + 153*x**2 + 11\/36*x**4. Factor f(a).\nAnswer: -2*(a - 8)*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7838 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 33 = 2 - 25 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6540000 to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/5)*f)**(-29)\/(f*f*f*(f\/((f*f**(-2\/5))\/f))\/f*f*f*f)**(-23) assuming f is positive.\nAnswer: f**(359\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4797*a**2 + 20565*a**2 - 10866*a**2.\nAnswer: 4902*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951000 rounded to the nearest 10000?\nAnswer: -1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -17906*g + 17903*g - 35, -5*g - 4*o = -37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28124044 times 0.3?\nAnswer: 8437213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -35.2. Let r = 1 + v. Which is the nearest to 1? (a) r (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1204650?\nAnswer: 2409300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 2735, 8966, 21083, 41048?\nAnswer: 70823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -621*a + 4996. Let u be z(8). Solve 0 = 4*k + u - 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9715.803 litres?\nAnswer: 9715803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 15, 12, 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 37. Let c(h) = h**3 + 9*h - 74. Give 4*c(s) + 9*l(s).\nAnswer: 4*s**3 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1367*k = 2*b - 1363*k + 102, 2*k = 3*b - 71 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75273?\nAnswer: 3, 11, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 6. Suppose v*j = -4 - 2. Let r(t) = -8*t + 2. What is r(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/9? (a) -0.5 (b) -4\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10 = -5*m, -r + 8 + 17 = -4*m. Does 12 divide -12*m\/((-60)\/(-33))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 24 = 13*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2. Let j(i) be the third derivative of -10*i**2 + 0*i + 0*i**3 + 1\/20*i**5 + 0*i**4 + 0. Calculate a(j(h)).\nAnswer: -27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + (3 - (-5 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 + v - 3. Let s be k(2). Suppose 5*m = 3*m + 3*d - 365, 0 = -s*m + 5*d - 545. Round m to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffrrfrf. Give prob of picking 1 r and 3 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -59?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + 1 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*g + 0 - 2\/3*g**3 + 26\/3*g**2.\nAnswer: -2*g*(g - 14)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-137608.\nAnswer: -27521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 28*m - 2464 = -84*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5. Let c be m(0). Let z(p) = p**2 - p. Let h(i) = 5*i**2 - 10*i + 4. Let r = -4 + 3. Let t(k) = r*h(k) + 4*z(k). What is t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2816) + 1)**2.\nAnswer: 32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 8*u - 9. Let v be k(-6). Let r = -1 + v. Solve -3*c - 1 = r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -47.0000094. What is m rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) - (-976)\/80. Suppose 0 = -l + b - 6. Find the first derivative of 6*i**4 + 0*i**4 - 1 - l - 5*i**4 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Let g be (0\/(-3))\/(1*r). Suppose u = -g*u + 11. Solve -3*m - q + 16 = 0, 5*q - 9 = u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61406 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by -1.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obq when three letters picked without replacement from {f: 3, l: 6, b: 2, q: 2, o: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 3. Let j(o) = 4*o - 2. Let p(m) = 2*c(m) - 3*j(m). Let a(d) = 15*d + 3*d**2 - 15*d. Give a(p(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/325416 and -86\/6825.\nAnswer: 8135400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:03 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 12 - 16)*(628 - 628 - 296*n**4 + 3 - 3 + n**4 + (2*n + 2*n - 3*n)*(-n**3 + n**3 - 2*n**3)).\nAnswer: 11880*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -341071, -341060, -341027, -340960, -340847, -340676?\n\"Answer: 2*j**3 - j**2 - 341072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15))\/(5392\/(-2022))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221 + 209. Is (-92578)\/c - (-26)\/156 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*s**6 - 377*s**2 - 186*s**6 - 3*s + 4*s - 1602*s**6 wrt s.\nAnswer: -176400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**3 + 18*c**3 - 59*c - 7*c**3 - 9*c**3 - 2 - 7*c**3 + 18*c**2 to d + l*c**2 + h*c + v*c**3 and give h.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/6 + 4*a**2 + a. Suppose 0 = -18*l + 16*l. Does 4 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 315592 + -315591.8. Let s = 12 - 23\/2. Which is the closest to 0? (a) -3 (b) 2 (c) s (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5649203, -11298202, -16947203, -22596206, -28245211, -33894218, -39543227?\nAnswer: -45192238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -28.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 + h**2 + 2*h + 4. Let l(s) = -1 + 3*s - 22*s**3 + 8 + s**2 + 28*s**3 - 2. Calculate -4*l(r) + 5*x(r).\nAnswer: r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 58.49. Let j = 0.478 - d. Let g = 0.075 + j. Round g to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80274?\nAnswer: 2, 3, 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**2 - 3*i + 3*i)*(-124*i**2 + 1158*i**2 + 225*i**2) - 8*i**4 + 2*i**4 + 2*i**4.\nAnswer: -2522*i**4 + 2518*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19306067 to the power of 1\/2, to the nearest integer?\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14526417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3494, 7012, 10530, 14048, 17566?\nAnswer: 21084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25672780 by -2.\nAnswer: -12836390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3 - 87\/(-33)) + -2. Find d, given that w - 12\/11*d + 2\/11*d**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*((-3 + 3 - 2)*(1 - 1 + 2) + (-130 + 49 + 607)*(-3 + 1 + 0)).\nAnswer: 2112*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30433050 (base 6) to base 14\nAnswer: -18b0a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-175)\/105 - (-44)\/12. Let c be (1 + 1)\/(-2) + 0. What are the prime factors of ((-243)\/(-6) + c)*j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30644, 61228, 91798, 122348, 152872, 183364?\nAnswer: 213818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21) + 272\/(-112)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19278*v**3 + 4*v**2 - 304?\nAnswer: -115668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -4 - (9 + -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 15. Suppose -z - z = -c. Let o = 25 - z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 11. Let h(k) = -3*k + 35. Let n(v) = -2*h(v) + 7*p(v). What is n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 2179.\nAnswer: 67549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 + 5*r - 5. Let c(m) be the third derivative of m**6\/60 - m**4\/8 + m**3\/2 + 3*m**2. Suppose 5*j + 20 = j. What is j*c(i) - 3*d(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-3)\/(-7 + 4)). Let r(o) be the first derivative of -o**2\/2 - 127000*o - 2. Let b be r(a). Round b to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 7) + -41 + 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-732)\/(-112)*(2 - -1108). Let a = z + -7248. What is the common denominator of 17*(2 + (-43)\/22) and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 0, 106 in decreasing order.\nAnswer: 106, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2946, -5876, -8804, -11736, -14678?\nAnswer: -17636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 40, -36, -4 in descending order.\nAnswer: 40, -4, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5190 + 41a2?\nAnswer: -a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 + 4. Let d(n) = n**2 - 4. Give d(l(y)).\nAnswer: y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = 12. Let m be (-1)\/3 + 34\/v. Let b = 17 - m. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 39*p**2 + 31*p - 260. Let b be h(-38). Solve 13*d = -b + 71 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29379 divided by 1701.\nAnswer: -1399\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 961.467 - 1740442.\nAnswer: -1739480.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9932.284 micrometers?\nAnswer: 0.9932284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - p**2 - 3*p - 3. Let l be g(-2). Which is greater: l or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100001110001011 (base 2) to base 7.\nAnswer: -5106005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10))\/((-14)\/5). Let g = 19.23 + -19.13. Which is the closest to g? (a) -3 (b) 51 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3056, -2879, -2702, -2525, -2348?\n\"Answer: 177*x - 3233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11749*s**2 + 23417*s**2 - 11672*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + a**2 + a + 7. Let z be 36\/(-3)*(-2)\/(-3). Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2*p**2*v + 4780*n**2*p*v - n**2*p + 7*n*p**2 - 3*n*p*v + 2*n*v - 325*p**2 - v wrt n.\nAnswer: 6*p**2*v + 9560*p*v - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71704 and 7.\nAnswer: 501928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9*f + 3*f. Suppose f = -3*s + 5*g - 3*g - 34, 58 = -3*s - 4*g. Let u(k) = k + 1. Let c(y) = 3*y + 4. Give s*u(v) + 4*c(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(-17\/2))*f\/(f\/(f\/(f**(1\/34)\/f)))*f**15*f*f**(-29))**(-3\/17) assuming f is positive.\nAnswer: f**(1047\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 1647451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o*o\/o**(1\/26)))\/o)*o**(-4\/11))**(-10\/19))**(-1\/8) assuming o is positive.\nAnswer: o**(3715\/21736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31033041 (base 5) in base 9?\nAnswer: 424041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + 5 = 0. Let c = a + 1. What is k in c + 2\/7*k + 2\/7*k**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57795 + 57800. Suppose -2*g + 8 = -0*g. Calculate the lowest common multiple of h and g\/(-10) + 1056\/15.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367520550.\nAnswer: 2, 5, 11, 97, 25633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5317036182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - q**2 + 12 - 3*q - 2*q**2 - 10. Let z(m) = m**2 - 3*m - 1. Let f be z(2). Determine d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w + 5. Determine r(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o + 87 + 103 + 2*o - 179. Give g(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.11. Let u = w - 0.34. Sort 5, 2\/9, u in increasing order.\nAnswer: u, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*q)**46\/((q**(1\/12)*q)\/q**(-2\/29)))**(-10\/9) assuming q is positive.\nAnswer: q**(-38015\/1566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + (4 + -11 + (5 - 5) + -8 - -19).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62739*z**4 + 89894 wrt z.\nAnswer: -250956*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 4. Let w(r) be the third derivative of -7*r**4\/8 - 9*r**3\/2 - 2*r**2. Let k(p) = 27*o(p) + 4*w(p). Let n(z) = -2*z. Give k(n(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.196 and 0.7?\nAnswer: 1.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13.75929 meters?\nAnswer: 13759.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -46*c + 216. Suppose -170 = -7*u + c. Suppose -u + 20 = -3*a. Solve -2*i - 3 = a*g + 11, -3*i = 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3))\/2*4554\/(-1265)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 7, d: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-200)\/(-102) - -2. Let a = -47\/102 - r. Find the common denominator of a and (-1375)\/484 + (-10)\/8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141918.\nAnswer: 2, 3, 7, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-5))\/(((-18468)\/9)\/(-38)))\/(20\/50)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 15958?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/30 + 4*z**3\/15 + 4*z**2\/5 + z - 1. Let w(o) be the first derivative of r(o). Let w(i) = 0. Calculate i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**2 + 4 - 16*l**3 + 18*l**2 + (-2*l + 0 + 0)*(7 - 5*l**2 - 7) to the form a*l + r*l**3 + b*l**2 + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 - 4*a + 4*a + (1 + 2*a - 1)*(-4*a**2 - a**2 + 4*a**2) + 1 - 1 + a**3 - 2*a**3 + 0*a**3 + 4*a**3 + (3 - 3 - 2*a**2)*(3*a - 2*a + a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.7 (b) -34 (c) 1437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -7 - -15 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 999180 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 34971.9?\nAnswer: -34969.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -47. Let i = 10.5 + x. What is the biggest value in 2\/11, i, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlel when four letters picked without replacement from lqrlelrlellrerqrl.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2017392*p**4 + 81417*p**2 - 4*p + 1 wrt p?\nAnswer: -48417408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10059900 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*p**5*u**2 + 1053*p**4 + 208*p**2*u**2 - 601*p**2 wrt p?\nAnswer: 1920*p**2*u**2 + 25272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3345977 and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/42 - 196720170\/(-18). What is f rounded to the nearest 10000?\nAnswer: 10930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -441 - -397. Let l = a - -49. Sort l, -0.3, 0.1 in ascending order.\nAnswer: -0.3, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158320.\nAnswer: 2, 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 270*d**2 - 273*d**2 + 20)*(3 - 4 + 0)*(d - 1 + 1).\nAnswer: 3*d**3 - 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 5*m - 5*m)*((-1 + 0 - 1)*(-5 - 2 + 5) + 2 + 0 - 4 + 3 + 1 - 1).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/107015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19413)\/783 - -25)\/(1 - (2 - -2))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**3 - 22*f**3 + 18*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2662302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:05 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122772.\nAnswer: 2, 3, 13, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 757, 1512, 2267, 3022, 3777?\nAnswer: 4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -16, 0.01, 2\/7, -45?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14411 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3307734 (base 9) to base 13\nAnswer: 4a2ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7014 + -7013. Let c(h) = 14*h**3 + 3*h**2 - 2*h + 1. Let i(u) = -57*u**3 - 13*u**2 + 9*u - 5. Let f(o) = 9*c(o) + 2*i(o). Calculate f(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 117*o + 19 = 118*o, 5*n = -2*o + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 24 = 3*y, y - u + 5 = 15. Solve -5*n + 0*n + 4*w = y, 3*w = -2*n + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from auuauitktt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - 16.86. Let w = y - -18.9. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -17218308.\nAnswer: -3\/5739436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {m: 1, l: 10, q: 5, z: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -53*y - 384. Let i be p(-7). Let b(t) = 15*t + 13. Let l(j) = 7*j + 6. Let q be 5*(11\/5 - 1). Calculate i*l(z) + q*b(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w, 3*g + 3*w = -7 - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11045 + -11044. What is the remainder when 42 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, -5, 2113, -1, 3.\nAnswer: -5, -4, -1, 2, 3, 5, 2113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -232*k - 350. Determine s(-1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - n - 198, 3*n + 45 = w + n. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 239 and 241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4222522 + -413?\nAnswer: -4223335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -0.2 (c) 4 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 75?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/84)\/(10\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*b = 27, -2*b - 27 = -o + 2*o. Let p = -5 - o. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89189.32 years?\nAnswer: 1070271.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 12. Let t be q(6). Let s = 17 - t. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 13. Suppose z*y - 10 - 8 = 0. Suppose -y*x + 504 = -x. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*f, 2*k = 3*k + 2*f + 10. Let i be (-2)\/8*5*k. Suppose -22 = -i*h - 7. Solve -2*d - 3*j + 0*j = 6, -h*d = 2*j - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 14*l + 20. Let i be o(15). Let k be 4\/6*126\/16. Let z = k - 27\/4. What is the nearest to -2\/5 in i, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(704\/(-8))*-4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, -5, 79?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4939493 is divided by 325.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31346, -33803, -36262, -38723, -41186?\n\"Answer: -x**2 - 2454*x - 28891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -948*0.1.\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/16 and 35\/362.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e1 + -2d1?\nAnswer: -7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2389 = 3*l - 5*n, 0 = 2*l - n - 1592. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 683 (base 14) to base 12\nAnswer: 8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16 + 6*k + 10*k**2 - 23 + 2*k - k**3 + 4*k. Let q be i(11). Solve -5*o = 1 + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/(h*h\/h**(-7))*h*h**0*h*h)**(-1\/14))**(7\/8) assuming h is positive.\nAnswer: h**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -7, 0.099, -1.2, 9, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 2*u**2 + 0*u**2 + (1 + 2*u - 1)*(-u - u + 4*u) + (3 - 1 - 4)*(0*u + 0*u + 2*u**2) in the form m + n*u + r*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 2*u. Suppose 198 = -u*s + 558. Suppose -4*r - 24 = -s. Solve -b + 2 - 1 = -g, -4*g - r = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 - 20*i - 12. Let h(w) = 5*w**2 - 15*w - 11. Let d(b) = -5*h(b) + 4*o(b). What is d(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 - 52)\/((-2)\/(-3)). Let x be (6\/4)\/(j\/(-68)). Find r, given that 5\/2*r**4 + 2*r - 9\/2*r**x + 2 + 3\/2*r**5 - 7\/2*r**3 = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -0.1, -14008?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*a, 2*m + 25 = 3*a - 0*m. Solve -4*x = 3*f - 4, -a*f - x - 6 = 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2316 or -20837\/9?\nAnswer: -20837\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3 and 1418621076643.7?\nAnswer: 1418621076642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*p = -73 - 297, 2*i - 3*p = 370. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 71*d**2 + 324*d - 81. What is the thousands digit of r(-62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17124 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745 divided by -1?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78955 - -0.01574?\nAnswer: -78954.98426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1446, 1477, 1498, 1503, 1486, 1441, 1362, 1243?\n\"Answer: -x**3 + x**2 + 35*x + 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 1\/7 (c) -4\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/25 (b) 1\/32 (c) -0.0225 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-25))\/((-2)\/5). Suppose g*d = 6*d - 4*c - 140, 4*c = -4*d + 172. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 + 16*b + 11. Let y(w) = -5*w**2 - 15*w - 12. Let o(x) = 4*k(x) + 5*y(x). Let l be o(-9). What is c in -4*c + 40*c**2 - 36*c**l - 4*c = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/119 - -149\/1190. Let o(t) be the second derivative of -2*t + m*t**5 + 0*t**2 + 1\/12*t**4 + 0*t**3 + 0. What is the third derivative of o(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 185 = -17. Suppose 0 = -a - 5*u + s, 0*a + 42 = a - 2*u. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64917524 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 14, -25 in descending order.\nAnswer: 14, 1\/2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 93 = -5*j, 3*y + 34 + 41 = -2*j. Let r = -20 - y. What is the remainder when 25 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -y + 5*w, -3*y + 5*w + 7 = -0*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -326302463.6 to the nearest 100000.\nAnswer: -326300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 217.2974 years?\nAnswer: 2.172974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-2 + 1)) + 8 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 47 - 43 + 53 - 7*c**2 + 27 + 3*c**2 in the form v*c + s + k*c**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -33*y**2 + 78*y + 6. Let l(f) = 54*f**2 - 117*f - 8. Let c(k) = 5*l(k) + 8*w(k). Determine c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/25 + (-2748)\/20. Is 29 a factor of 1\/(2\/(-8)) - (86 + i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 19*j**2 + 20*j - 4. Let u be w(-20). Let r(d) = -2*d - 4. Give r(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -114. Suppose 2*j + 3*m = 40, -3*j + 54 = b*m + m. Calculate the remainder when 25 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + u = -4, 4*i + 0*u - 3*u = 12. Suppose -4*l + 0*l + 12 = i. Suppose -5*f = 5*o - 50, -l*f + 5*o = -5*f + 20. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from epeeeppppp?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) - (9 + (-107)\/12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpff when four letters picked without replacement from {p: 9, f: 11}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 406671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 36 = 4*o, 77 = 5*j + 3*o. Suppose 0*p - 5*p = -45. Calculate the remainder when j is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259548?\nAnswer: 2, 19, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*s = -115*s - 114 - 158 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abjijb. Give prob of sequence bbj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 + 115*b**2 + 158*b**2 - 250*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + ((sqrt(200) - sqrt(200)*1)*-6 + sqrt(200)*2 + -2)**2*-1*-5.\nAnswer: -400*sqrt(2) + 4027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -144, -2, -48963 in decreasing order.\nAnswer: 0, -2, -144, -48963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, w: 9}. What is prob of picking 3 w?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15479 is divided by 859?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724 a factor of 2229547266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 + 30593)\/5 + 15?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -652*n**5 + 941*n**2 wrt n?\nAnswer: -39120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 1, f: 1, w: 1}. What is prob of picking 2 c and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -91448258 != -91448260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 19) + (-1 - 4) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z**3 - 7*z**2 + z + 28. Determine r(-5).\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/731479 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 45 = 4*o. Suppose -o = -4*w + 7*w. Let x(g) = -7*g**2 + g - 3. Let l(m) = 4*m**2 - m + 2. Give w*x(d) - 5*l(d).\nAnswer: d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -l - 12, 6 = 5*g - l - 9. Solve -3*m - o - g - 15 = 0, 3*m - o + 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/9*-2*42*10\/(-80). Solve m*v - 31 + 101 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14026881 greater than 14026909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76003103.\nAnswer: 11, 31, 222883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -31 + 6. Find the first derivative of -66 - n*t**2 - 47*t + 7*t**2 + 41*t wrt t.\nAnswer: 4*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/2 + 928*z - 1. Suppose 0 = -3*q + n - 5*n + 13, -3*q = -2*n + 11. Calculate w(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -1\/6, 43?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 2*w - 2*w. Suppose -3*z + 1 = 10. Let b(r) = r**2 + 2*r. Let j(n) = z*b(n) + 2*c(n). Find the second derivative of j(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36440 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/14 in -2, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.30351 decades in centuries?\nAnswer: 5.030351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*(-3*p + 4*p + p) - 4*p - p**2 + 4*p - 2*p**2 + 3*p**2 - 13*p**2 + (-p + 1 - 1)*(-p - 2*p + 2*p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -9. Let l(h) = -3*h + 18. What is the remainder when l(n) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24663 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**11)**10*(w*w*w*w**24*w)\/(w**(1\/9)*w) assuming w is positive.\nAnswer: w**(1322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1253*g**2 - 2 + 132*g**3 - 628*g**2 + 9 - 625*g**2 to the form z*g**2 + r + n*g + l*g**3 and give l.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7861, -7859, -7857?\nAnswer: -7855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**2 + 8*v + 2. Suppose -3*a + 18 = 3*m, -2*a = -a - 1. What are the prime factors of u(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3372 + 3?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n + 69. Give k(-13).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 14*q - 11. Determine r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19306.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40907*g*t**2*u**3 - 2*g*u - 1424*t**2 + 3*t*u**2 + 2*u wrt u.\nAnswer: -245442*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g**2 + 2*g + 38. Does 26 divide o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b + 0*b)*(175752*b + 30 - 27 - 22*b**2 - 175705*b).\nAnswer: -44*b**3 + 94*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-25))\/((-27)\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12. Suppose h - o - 30 = 0. Let a(s) = -s**3 + 5*s**2 + 7*s + 5. What is the remainder when h is divided by a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/7 or 39\/47?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-47)\/376).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from vkdcckkcdc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x - 4. Let p be z(4). Let y = -17 - -21. Let l = p + y. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4423 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let m(x) = -x + 4. Let o be m(4). Suppose 0 = -n*h + 2*w + 33, o*w + 32 = 4*h + 4*w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + (-51)\/(-8))\/((-9)\/(-12)). What is k in 1\/4*k**2 - j*k + 1\/4 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - 110?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 17, 12, -1137, -2 in decreasing order.\nAnswer: 17, 12, 1, -2, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18450 - 1258*i + 18450)*(-1 + 0 - 1).\nAnswer: 2516*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 60*w - 60*w - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -196.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(2*h**2 - 5*h**2 + h**2) + 11*h**2 + 7*h - 7*h.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + 145 + -4 + 1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-3\/10)*o)\/o)\/o*o)\/o**2)**(-8\/3))**27 assuming o is positive.\nAnswer: o**(828\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121464 and 198.\nAnswer: 1336104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/(-6) - (-385)\/210?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 116. Let u = y + -21. Suppose -a + 0*a = -16. Calculate the least common multiple of a and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 0, 2*o - 478 = -4*f + 3*o. Calculate the greatest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 7*h**5 - 2*h**2 + (2*h**4 + 0 + 0)*(-h - 2*h + 4*h) + 0*h**5 - 2*h**5 + 0*h**5.\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4220, -1 in descending order.\nAnswer: 15, -1, -4220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 1 + 0*q - q. Let n be x(-1). Find the third derivative of -m**3 + n*m**3 + 4*m**2 - 3*m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let m(f) = 2*f + 2. Let u(h) = m(h) + w(h). Let p(v) = -4*v - 3. Determine 2*p(x) + 3*u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1163 + 1132. Sort -1, 0, r, -0.2 in decreasing order.\nAnswer: 0, -0.2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 18*a**2 - 22*a - 18. Let f = 23 - -24. Suppose -7*j + 86 + f = 0. Calculate the remainder when b(-17) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -127 - -10500?\nAnswer: 103b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 (base 14) in base 9?\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3045361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 + 4*m**2. Let i be 6 + (-390)\/91 + (-2)\/(-7). Let p(z) = 4*z**3 + 3*z**2. Determine i*c(u) - 3*p(u).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.7, 3\/5, -611, -0.1, -4 in descending order.\nAnswer: 3, 0.7, 3\/5, -0.1, -4, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 + r + 6. Let u(i) = -2*i**3 + 17*i**2 + i - 49. Let d be u(8). Suppose -d = -8*o - 71. Determine h(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1057 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 330, 1290, 2890, 5130, 8010, 11530, 15690?\n\"Answer: 320*c**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211411, 211428, 211449, 211468, 211479, 211476?\nAnswer: 211453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 87 + 3 = 0. Let o(t) = t**2 - 4*t - 19. Let y be o(g). Determine v so that 14*v**2 + 4 + 9*v**y + 4*v - 22*v**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -122 and -109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 4. Suppose 5*t - 8 - 7 = 0. Let y be o(t). Let a be y\/2*(-1 + -25). Solve 5*d - 5*k + k = a, -d = 2*k + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -449\/180 - -22\/9. Calculate the common denominator of u and ((-63)\/(-6))\/((20\/(-6))\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 8*d + 14. Let j be s(-4). Put 0, j, -5 in decreasing order.\nAnswer: 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 617718134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 = 16. Differentiate 8*w**2 - y*w**2 - 4*w**2 - 2 + 2*w**4 wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**4 - 8*y**3 + y**2 - 43*y - 334808 wrt y.\nAnswer: 8*y**3 - 24*y**2 + 2*y - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6493.71 millennia in decades?\nAnswer: 649371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*z - 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 843 + 493 + 340.\nAnswer: 2*k**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.5, -0.1, 9, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -2\/5, -6326, 3\/8, -2, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -88. Let b(c) = 29*c - 54. Let m be b(v). Calculate the highest common divisor of m and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 9)*(2 - 6 + 2)*(-4*v + 2*v - 2*v)*(-1 + 1 - 2).\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 240967, 481902, 722823, 963724, 1204599, 1445442?\n\"Answer: -o**3 - o**2 + 240945*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14350)\/(-175) + 30 + -181?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-15))\/((-3)\/30). Suppose c*l = -3*z + 2*l + 73, 3*l + 63 = 3*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78207.23 millimeters to kilometers.\nAnswer: 0.07820723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 277055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 4, v: 1, z: 1, c: 2}. What is prob of sequence zhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h - 3. Suppose 0 = h*x + 132 - 264. What is the smallest common multiple of 44 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*t - 2*b + 5, -b - 19 = -4*t. Solve 2*v + 20 = 4*p - 2*v, t*v + 15 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -130*p - 92*p + 7*p - 40. Let x be 728\/273 + (-29)\/3. Is s(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5500378 + -0.55. Round u to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*w = 87*w - 8. Let r(k) = -k**3 + 4*k**2 + 4*k + 5. Let p be r(5). Solve p = -o - 5 + w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267384*z - 254*z**2 + 1 + 267384*z.\nAnswer: -254*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 141051.\nAnswer: 141051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.179 + 7.179. What is the fourth smallest value in 1\/4, -1, i, -7\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -23*h - 5. Let x(k) = -81*k - 18. Let r(d) = 18*a(d) - 5*x(d). Suppose 0 = -2*b - 0 + 8. Suppose 4 = -b*s - 0*s. Determine r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33294 (b) -3 (c) 0 (d) 0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*y + 967 + 1758 = -250 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641479 is divided by 286?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**2 - 13*t + 8. Let y(v) = -5*v**2 + 9*v - 5. Give -5*m(u) - 7*y(u).\nAnswer: -10*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 1:37 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 19 + -3 + 2 - 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16*j**2. Let f(o) = 48*o. What is f(v(r))?\nAnswer: 768*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344033, 2752341, 9289187, 22018841, 43005573, 74313653, 118007351, 176150937?\nAnswer: 250808681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 113. Suppose -7*k = -t*k + 609. Let -9\/2*f**4 + 39\/4*f - k*f**2 + 69\/4*f**3 - 3\/2 = 0. Calculate f.\nAnswer: 1\/3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359\/728 + -19\/56. Suppose -5*u + 3*u = 0. Let v = -3 - -2.8. Which is the closest to 0? (a) u (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/7 - 13857*l**2\/7 - 1955115*l\/7 - 67944231\/7.\nAnswer: 3*(l - 4757)*(l + 69)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 32 = -3*m, 4*x - 8 = 34*m - 32*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3562356 decades in years?\nAnswer: 3.562356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5363475.\nAnswer: 3, 5, 13, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 179242 = -22*y. List the prime factors of y.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5380 and -200\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -931 or -124629\/134?\nAnswer: -931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 64 = 34. Suppose j = 2, -b - j + 10 = 3*b. Suppose 0 = -3*v - b*v + 60. What is the least common multiple of n and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 256, 396, 534, 670, 804?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 2 - 5*a + 10*a - 2*a wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i + 62*i + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (4 + -2)*(-25 + 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(20\/9)*i)\/((i\/(i**37*i))\/i))\/(i*i\/(i\/(i*i\/((i*(i\/i**(-5\/4))\/i)\/i))))**(-43) assuming i is positive.\nAnswer: i**(4193\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5 - 35. Suppose -x - 3*v = x - n, -v = 4*x - 30. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2743265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2083 - 3.\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/11 - -1\/22. Let n = -10939\/18 - -608. What is the nearest to k in n, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 - 4*i + (1 + 1 + 0)*(0*i + 0*i + 3*i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237 + -157 - (32 + (7 - 11)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -44*v**2 - 90*v - 24. Let w(n) = -21*n**2 - 44*n - 11. What is -6*s(u) + 13*w(u)?\nAnswer: -9*u**2 - 32*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 9) to base 4\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 10*u**2 + 10*u - 2. Let i be r(-9). Let q be (-22)\/i - (-2)\/(-2). What is the closest to q in -0.3, -0.06, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4535.48 millennia?\nAnswer: 453548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1156 (base 10) to base 16\nAnswer: -484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -51*u - 649. Let i be o(-13). Solve 2*w - 5*d = 8 + 7, i = 3*w + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52 - 52 - 21*t + (3 - 4 - 6)*(-2*t - 2*t - 13*t).\nAnswer: 98*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 12. Suppose f*q = 2*q - 12. Let w(t) = -4*t - 3. Calculate the remainder when 38 is divided by w(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-57))\/3*((-165)\/(-15))\/(-33)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076301 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15672, -15684, -15704, -15732?\nAnswer: -15768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12723620?\nAnswer: 2, 5, 7, 13, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u. Factor 3*t**2 - 2*t**2 + u*t + t.\nAnswer: t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 - 189*v**3 + 39960*v**2 - 1078500*v - 3600000 = 0. What is v?\nAnswer: -160, -3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627*i - 604*i - 72519 = 0. Which is the closest to 1? (a) -0.1 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.7681 * -5.\nAnswer: 293.8405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1\/60*z**5 + 5*z**3 - 19*z**2 + 0*z + 0 - 2\/3*z**4. Let m be g(14). Solve 2*y - m*k + 3 = 1, -2*y + 12 = 5*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**5 + 15*s**4 - 460948*s**3 + 12532855*s.\nAnswer: 40*s**3 + 180*s**2 - 2765688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1615*v**2\/9 - 557177*v\/9 - 230\/3.\nAnswer: -(v + 345)*(1615*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 17. Suppose -5*d + 2 = j - 3*j, 4*j - 4*d + 16 = 0. Let z = j + v. Solve 15 = -z*p - 5*y, -4*p + p + 2*y - 13 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158926 and 229714.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 - -16.6. Let u = -21.4 - 1.6. Let r = u + d. What is the third smallest value in 4, r, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14811084.3 times -0.1?\nAnswer: -1481108.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -420*d**2*j**4 - 371*d**2*j + 373*d*j**4 + 302*d wrt j?\nAnswer: -5040*d**2*j**2 + 4476*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkukuk. What is prob of sequence kk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-14) - ((-7150)\/182)\/11. Solve j*i - 20 = -20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4699*r - 4700*r = 2*h + 5, 4*r - 3*h = 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 6*k - 5, 0 = 2*f - 3*k + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 t when four letters picked without replacement from {o: 1, b: 3, e: 2, t: 1, v: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2609*p**3 - 2599*p**3 - 2593*p**3 - 2604*p**3 + 10406*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4568*l**3\/5 - 168934*l**2\/5 - 359338*l\/5 - 6396\/5 = 0.\nAnswer: -2, -41\/2284, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 6*z**2 + 5*z + 3. Let d(h) = -4*h**3 - 7*h**2 + 6*h + 4. Let t = 32 - 38. Determine t*k(o) + 5*d(o).\nAnswer: -2*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -7. Is 3\/((-12)\/l)*-4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 3*u)*(-2*u - u**4 + 2*u) + (1 - 2*u**4 - 1)*(1 - 1 + 5*u).\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22817928 and 45635856?\nAnswer: 45635856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6 - 0. Differentiate -2 + 3 - r*m**3 - 4 + m**3 wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*w + 379*w - 223*w.\nAnswer: -117*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 16 = -3*x, -5*x - 3*h = -2*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -125, -1, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-5*-3 + (5 + sqrt(16)\/(-2*sqrt(8) + sqrt(8)))**2)*5.\nAnswer: 135 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + 3 + -4 + 1. What is the common denominator of 400\/77 + (-2)\/r and -111\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32810 and 40.\nAnswer: 131240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 20251131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 11*o - 1 - o.\nAnswer: -12*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 38065 - 38047 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d19f + -2?\nAnswer: 8d19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose -2*h + 0 = i - 14, -2*h - y = 0. Suppose 0 = 2*c - 4*c + 16. Calculate the highest common factor of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -6.97 (c) -5 (d) -67 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -3*z + 4*b, 32 = 5*b + 12. Calculate the remainder when 467 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200.8 - 228. Let s = k - -27.15. Which is the biggest value? (a) 2\/7 (b) 6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**6\/f*f)\/f)\/f*f*f*f)\/f**(2\/19)*((f\/(f**3*f))\/f)**(-2\/117) assuming f is positive.\nAnswer: f**(15479\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/12 + l**3\/6 + 107*l**2. Let u(w) = -w. Let m = 1103 - 1112. What is m*u(h) + 4*q(h)?\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24821344?\nAnswer: 2, 193, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 35*a. Let g(l) = -2*l + 12238*l**2 - 24469*l**2 + 5*l + 12233*l**2. Determine g(u(h)).\nAnswer: 2450*h**2 + 105*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2999250651 rounded to 3 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 225843 rounded to the nearest one thousand?\nAnswer: 226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*l - 2790 = 0, l - 4*l = 4*d - 3727. List the prime factors of d.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060456465 rounded to 5 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3 = 3*h + 5, 15 = 5*h for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -1. Let j be (-15)\/(-6) + 2\/4 - -206. Suppose 3*h = 55 + j. Calculate the highest common divisor of q and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21489.7 plus -1.2?\nAnswer: 21488.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8664, -8640, -8616, -8592, -8568?\n\"Answer: 24*x - 8688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11342*u + 2675. Let k(t) = -14*t + 5. What is -2*f(m) + 1070*k(m)?\nAnswer: 7704*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97.81838 * -0.4.\nAnswer: -39.127352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 47 in decreasing order.\nAnswer: 47, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2595 * -0.2.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-840))\/(4\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/33)\/(8\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936913*-3.\nAnswer: -2810739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-36 + 48) - -93 - 150.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 42. Suppose -2*l - y*l + 28 = 0. Suppose -5*j = 3*c - 91, 2*c = 4*j - l*j + 59. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5.3, 4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144\/(-54))\/(2\/(-9)). Let y = 3 + 2. Suppose 0 = 4*o + t - 29, -2*t - 46 = -y*o - 0*t. Calculate the greatest common factor of o and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-40) - 215\/1050?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x**2 + 0*x)*(-180*x + 7*x**2 - 5*x**3 + 73*x + 73*x).\nAnswer: -15*x**5 + 21*x**4 - 102*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 4*o + 17 + 1 to the form f + g*o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -0.03. Let f = 0.03 - l. What is f rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -6. Let q = 7 - r. Are q and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*o**4 - 5*o**4 - 14*o**4 - 9*o**4 + (0*o**3 - o**3 + 3*o**3)*(2*o + 0*o - o) as p*o**3 + z*o + v*o**4 + d + k*o**2 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - 3029655246\nAnswer: -3029655246.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 402\/5 - 80. Let x = 29 - 35. Let s be (-12)\/x*1\/18. What is the closest to 0 in s, o, -2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211099201 to the power of 1\/2, to the nearest integer?\nAnswer: 14529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - (-4 + (-2)\/(-2) + 2). Calculate the highest common factor of 112 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (76 - 8\/2)*-92*(-37)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -660, -1319, -1978?\n\"Answer: -659*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113157120 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 48*m**3.\nAnswer: -3*m**3*(m - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*c - 50 = 0, 2*c = -2*f + 5*c + 22. Suppose -5*l = -f*l + 996. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/15? (a) 4 (b) 2\/7 (c) 2\/5543 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3*v - 8, -x + 5*x - 12 = -v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 14*q**2 + 9*q - 81. Let z be m(14). Calculate the highest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 - 6*t - 8. Let v be k(-3). Solve -v + 5 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -1 = -p*s - s. Let k = 11 - 5. Solve s = 5*g + k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -12. Let l be -2 - -1*(c + -2). Suppose l = j + 3*j - 16. Solve r - 6 = -2*r - 4*w, -r + 2 = j*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -5)*-2*(-82)\/4. Which is the nearest to 2? (a) -4 (b) 3 (c) 0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(54)\/sqrt(2))\/sqrt(9))*-4.\nAnswer: -20 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 27*n**2 - 20*n - 2. Let s be m(-8). Let k = -822 + s. Let h be 0*(-1)\/(-1) - -20. Calculate the greatest common divisor of h and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.1144244?\nAnswer: -4.1144244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.231 and 3106.\nAnswer: -717.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 109474962772090.\nAnswer: 109474962772089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4\/8 - (-2 - 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 205 = 18. Let o be (-1 - 1) + (10 - -2). Solve -3*n + 2*g = 7 + o, -n = -2*g + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 103310, 1422 in ascending order.\nAnswer: 1\/6, 1422, 103310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 7*s + 4*s - 24, -83 = -3*c - 2*s. What is the greatest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 2, -20, -2 in decreasing order.\nAnswer: 3, 2, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/795 and 17\/21375.\nAnswer: 1132875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 789769438 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(7\/3)))\/a*a**6\/a*(a*a**(-1)*a*a)**1)**26)**(-24) assuming a is positive.\nAnswer: a**(-5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncacr. What is prob of sequence cnrc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 11*z**2 + z - 8. Let h be v(11). Let l(f) = f**3 - f**2 - 6*f + 5. Let u be l(h). Is 6 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5358*r + 5358*r + 14*r**2.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5, -20*z + 2*b - 16 = -21*z. Calculate the highest common factor of 324 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Let r = -37 - -62. Let l be 6\/(-10) + (-85)\/r. Give j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2864, 2873, 2888, 2909, 2936?\n\"Answer: 3*m**2 + 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6495)\/12*(-48)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 1301846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 363600.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*z - 2. Let r(i) = i - 9. Let w(l) = l**3 - l + 1. Let d be w(2). Let x be r(d). Do z and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 10*m - 50. Calculate w(15).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2850 = 10*o - 5*o. Let v = -378 - o. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587 is divided by 121.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4329 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -159 and -205989.\nAnswer: 32752251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1246, -8, -50.\nAnswer: -1246, -50, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1210334 - 1243?\nAnswer: -1212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2446*t**3 + 4*t**2 + 55*t + 13. Is a(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*j - 106, -j + 15 = 3*v - 115. Let q(z) = z**3 - z - 11. Let p be q(4). Let l = p + 14. Calculate the highest common divisor of l and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -39\/3065 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 850.315 or -4?\nAnswer: 850.315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/30*20\/6. What is the second derivative of 22*c**h - 16*c**5 + c**5 + 10*c wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.3 (c) -2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and (-3 + 2)\/(12\/(-48)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 745, -4, -0.5, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*i + 0 + (1 - 3 + 0)*(i + 4*i - 2*i)*(1 + 1 - 1) + 4 - 4 - i + (-4 + 4*i + 4)*(1 + 5 - 4) to the form s + w*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:28 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459, -2454, -6921, -14796, -27015, -44514?\nAnswer: -68229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22803665 + 28*j - 22803665.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + a - 3*a)*(1 - 1 + 2*a) - 2*a**2 - 2*a**2 + 6*a**2 + (1 - 1 + 2*a)*(-4*a + a + a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15755.82 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 49*m**2 + 597*m - 7640. Give h(13).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.5 - -19.3. What is the third biggest value in 2\/15, 3, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 10}. What is prob of sequence el?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(6 + 6 + 0)*(-3 + 4 - 15)*(-3 - 1 + 2)*(0*p**2 + 0*p**2 + 3*p**2)*(5*p + 2*p + 4*p) to the form a*p**3 + j*p**2 + n + x*p and give a.\nAnswer: -22176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 - 286. Sort -232, 3, 4, z.\nAnswer: -232, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0087 and 8.\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1390\/417)\/(210\/2)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546480 by -34155.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/8887 - 630957\/88870. What is the common denominator of 12\/5 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085734956 rounded to five dps?\nAnswer: -0.08573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.95 + 0.05. Let c = 9.07 - m. Let n = 4 + c. Round n to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 3*h - 6. Let s be k(-5). Suppose -m = -j, 3*j - 7*j + s = -2*m. What is the second derivative of -6*y + 0*y**j - y**2 + 4*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2930\/4151 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 3, f: 2}. What is prob of picking 3 x?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g + 19*g + 14*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2 + sqrt(85))\/sqrt(5)*4.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 6 + -14 - -16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3321 = -1389*n + 1385*n, -4*n + 3271 = -5*h. What is the greatest common factor of n and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 323 - 295. Let q(f) = -f**3 + 6*f**2 + 1. Let m be q(5). Let w = s - m. Solve -w*z + 2 = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -25 (b) -2 (c) 0.2 (d) 5\/3 (e) 9.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1007, 3650, 7177, 10868, 14003?\nAnswer: 15862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:56 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10094828.\nAnswer: 2, 2523707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5305 - -6?\nAnswer: 530b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 0, 3*z + 2*v - 11 = 4. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 664, 2941, 6768, 12145, 19072, 27549, 37576?\n\"Answer: 775*a**2 - 48*a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - -1.29. What is the smallest value in -5, b, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1363560622 to the nearest integer?\nAnswer: 36926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 265 = -5*t - 258, 0 = -3*t + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**2 + 5\/12*z**4 - 4 + 0*z**3 + 18*z. Let y(b) = -7*b. Give y(h(g)).\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 21 - (-6 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b + 2. Let y(f) = 6*f - 1. Let o(q) = -4*l(q) - 5*y(q). Let v be o(-5). Let h = -786 + 799. Solve 5*w - h = v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Let g(b) = -13*b + 1. Let z(i) = 14*i. Let d(o) = 3*g(o) + 2*z(o). Let c(s) = d(s) - 2*t(s). Differentiate c(h) with respect to h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -35. Let z be 6 - ((-12)\/f)\/3. Solve -4*d**z + 10*d**4 + 96*d**2 + 44*d**3 + 80*d + 16 + d**4 = 0 for d.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1565495030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/9 - 15884*z**2\/9 + 68726*z\/3 - 21144 = 0.\nAnswer: 1, 12, 7929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 184.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 60 = u, 0 = -0*u + u + 3*v - 60. Let m = -10297 - -10377. What is the highest common factor of u and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76d789 (base 14) to base 10\nAnswer: 4032429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -165, -261?\n\"Answer: -96*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 6*s**2 - 7*s + 3. Let i be a(-7). Suppose 0 = i*x - 4*m - 14, 4*m + 10 = -2*x + 3*x. Is (x - 1)*307 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 1\/6 (c) 11386 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 182\/(-35) + 2\/10. Which is the closest to 11? (a) x (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x + 289 - 82 = 0. Solve 8 = x*o - 11*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:13 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13628244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeffertrt. What is prob of sequence ett?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4611090 and -47\/4005.\nAnswer: 13833270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.29 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/40)\/(11191\/(-1767))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74841, -74852, -74853, -74838, -74801, -74736, -74637, -74498?\nAnswer: -74313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.77 times -0.059?\nAnswer: -8.48243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o**2 + 11. Let g(y) = -1. Let i(t) = 11*g(t) + u(t). Let j(x) = 3*x. What is i(j(n))?\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/7 - 228570390*v\/7 + 13061105796188025\/7 = 0.\nAnswer: 114285195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 3, a: 2, t: 1, f: 1}. What is prob of sequence tg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1721 by -42001.\nAnswer: 1721\/42001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117, 172, 167, 102, -23, -208?\n\"Answer: -30*h**2 + 145*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 721614 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 28 = 13*h - 18*h, 4*h + p - 14 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let r be (-14)\/(-14) - 25*-1. Let f = 28 - r. Suppose -2*d + x = -d + f, 3*x - 1 = -2*d. Let g(w) = 3*w**3 + 3*w + 2. Calculate d*g(j) - 3*y(j).\nAnswer: -3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2026 = 106*r - 102*r, -2032 = -4*r + 4*c. What is the greatest common divisor of 24 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.219 - -54.15?\nAnswer: 663.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8567143799 rounded to the nearest one hundred thousand?\nAnswer: -8567100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l)**(1\/15)*l**(-1\/2)\/(l**(2\/5)*l) assuming l is positive.\nAnswer: l**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 203. Let f be r(-27). Sort 0, f, 1 in increasing order.\nAnswer: 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 + 10 = -5*s, -5*s - 25 = -2*o. Let r = 3.2 + -3.19. Which is the biggest value? (a) -8 (b) s (c) -4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3*x - 4*q**2*x + 2*q**2 - 7*q + x - 2 wrt q?\nAnswer: -6*q*x - 8*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 1692 = 2*m. Suppose 11*y + m - 9828 = 0. Is 95 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.56 + 0.06. Let j = f - -4. Which is the closest to 0? (a) -0.2 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmlmlow. What is prob of picking 1 o, 1 k, and 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**2*h**2 + 11708224*c**2 + 3713*c*h - 211*h**2 wrt h?\nAnswer: -4*c**2*h + 3713*c - 422*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -353. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(6)\/sqrt(3) + sqrt(96)\/sqrt(3))**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -8. Suppose 2*a + 0*a = -h. Let f = 0 + 4. Sort a, -4, f in descending order.\nAnswer: f, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 33 (b) 0.2 (c) -1.2 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 48*o**2 + 168*o + 1568.\nAnswer: 2*(o - 14)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/12*20\/(-3). Let a = h - 3. Suppose 0 = 3*m - a - 4. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1078930315 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6023 (b) -3\/5 (c) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxkkkkkgggkxk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from {l: 4, j: 10, w: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 6*l - 3*o, -2*l - o + 367 - 350 = -0*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 91041.\nAnswer: 27312.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 8*m - 3*m + 8*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223873647 + -118873647. Suppose -4*q + 7*q = -h. Round q to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 347 (base 12) to base 13\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v**2 - 27. What is the tens digit of q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + p**2 - 7*p**2)*(-4*p + 2 - 2)*(-2 + 0 + 3).\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v\/((((v\/((v**5\/v)\/v*v)*v)\/v)\/v)\/v)))\/v)\/v*v*v**(4\/3))**(-38)*((v*v\/(v**(-1)*v))**(-2\/39))**(2\/69) assuming v is positive.\nAnswer: v**(579454\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-27913*v + 12223*v + 13632*v)*(5 - 6 + 8).\nAnswer: -14406*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*5*(-24)\/(-20). Let x be c\/((-4)\/(-2)) - -4. Is (1 - 128)*(-1)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1612)\/(-992))\/((-1)\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2850189402.\nAnswer: 2, 3, 37, 12838691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 z when three letters picked without replacement from {k: 2, f: 6, z: 9}.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60807635 and 19460.\nAnswer: 243230540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 7*w**2 - 6*w + 6. Let t be d(-6). Suppose -f - 300 = -t*f. Suppose -8*i = -3*i - f. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143106 (base 8) in base 12?\nAnswer: 2545a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1735379\nAnswer: -173537.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 920300 minus -0.4?\nAnswer: 920300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + -13 + -3 + -4 - 5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - 2*f**3)*(225 - 225 - 41*f)*(-1 - 1 - 1).\nAnswer: -246*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**2*n**3 + 3*m**2 + 350*m*n**3 + 23*n**3 - 672*n - 13 wrt n?\nAnswer: -18*m**2*n + 2100*m*n + 138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:08 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 + 129. Let i(u) be the first derivative of -1\/6*u**6 - 4 + 0*u**4 - 1\/3*u**3 + 0*u**2 + p*u**5 + 0*u. Find the third derivative of i(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 13) in base 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 6527.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502.144 less than -0.01?\nAnswer: -2502.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 3, k: 3, b: 7}. What is prob of picking 4 b?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 18*m - 21. Let i be b(7). Let d(t) = 2*t - i - 7 - 4. Determine d(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k + 27. What is z(17)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*y - 12, 2*x + x - 4 = -y. Suppose x = -11*z - z + 31404. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 8. Let b be 252\/(-189)*3\/(-20)*(1 + -6). What are the prime factors of -1 + 4 + l - b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 43 + 24 - 65*p**2 + 16*p to the form u + v*p + t*p**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14067 - -41515. List the prime factors of k.\nAnswer: 2, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x - n - 1, 4*x = -2*n - 2. Let l be 8\/6*(-6)\/(-4). Let v = x + l. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 3, r: 2, a: 9, h: 2, m: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 20*s**3 - 48*s**2 + 44*s - 14.\nAnswer: -2*(s - 7)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, n: 1, i: 11}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((4 - 5) + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4445309 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*17\/(850\/(-725)) is divided by (-6)\/(-8) + 18\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010111?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 8. Let d be v\/(-5)*(2 + 3). Solve -d*c + 8 = -7*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.2 take away 25950923?\nAnswer: -25950937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r**2 - 76*r + 76. Let z be c(-7). Calculate the greatest common factor of 250 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 4*g**2 + (333 + 286*g**2 - 333)*(3 + 0 - 5) + (-2*g - 1 + 1)*(-6*g + 3*g + g) + g - g**2 - g to k*g**2 + i*g + p and give k.\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18170.\nAnswer: 2, 5, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3*1)\/((-25)\/10 + 4). Let c(k) = -k + 2. Let a be c(l). Let y = 1 + 1. Solve 0*z = y*z + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 865037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390278, 780532, 1170768, 1560980, 1951162?\nAnswer: 2341308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1218, -2442, -3678, -4932, -6210?\n\"Answer: -x**3 - 1217*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 12, 2*l - 83*g - 6008 = -88*g. Solve 0 = l*k - 2992*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4 + 27624*j**3 + 61582911*j**2 - 9318574650*j - 18883260000 = 0?\nAnswer: -4675, -2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 q when four letters picked without replacement from sssssssssqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -156\/7*a**2 - 8\/7*a**3 + 0 - 148\/7*a = 0.\nAnswer: -37\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0*a**6 + 0*a**3 + 0 + 0*a**7 - 1\/20*a**5 + 6*a**2 - 11\/336*a**8 + 0*a**4 + 0*a. What is the third derivative of p(x) wrt x?\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = -2*s, 3*i - 14*s + 18 = -11*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**3 + 3*d**2 - 3*d + 24. Let l be k(5). Let u be (-6)\/16 + l\/128. Solve -2*r - 2 = -4*i, 0 = 2*i - 6*i + u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-1))\/(15\/50). Let a be u\/(-3) + 3\/(-9). Solve -3*b = 9 + a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + k + 9 + 10 = 0, 3 = 3*k. Suppose 20 - n = 4*g. Solve -g*p + 12 = -5*q, -4*q - 12 = -p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0.3 (c) -28.5 (d) -2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.074 - 1.004. Which is the smallest value? (a) x (b) -0.05 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3644 = 2*u - n, -3*n = 3*u - 2919 - 2538. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10179901 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 2*c**3\/3 + 3*c**2\/2 - 2*c - 2. What is r(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/7, -44, 2, -23 in decreasing order.\nAnswer: 2, -12\/7, -23, -44","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3\/3 - z**2\/2 - 2*z + 1. Suppose -2*t - 3*t - 16 = 3*d, -5*d - 12 = t. Calculate p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 155.36178 minutes?\nAnswer: 0.107890125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266909 + 425*k - 427*k + 266851.\nAnswer: -2*k - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = 0, 5*z = -0*z - 4*j + 22. Suppose 4*o + z*l - l - 43 = 0, 4*o - 4*l - 52 = 0. Which is smaller: o or 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*n + 22 + 19, 0 = 5*n + 2*o - 39. Solve -4*t + n*t - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 2713279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.59 at least 5291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 7*t - 7. Let x be v(-6). Let i be (6\/4)\/(3\/8). Let w = x + i. Solve -r + 5*l + 5 = 0, -w*l - 4 = -r + l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 + 18.3. What is x rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**6\/10 - 43*y**3\/6 - 79*y**2 - 639*y. What is the first derivative of f(x) wrt x?\nAnswer: 12*x**3 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -53, -58?\n\"Answer: -5*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 45*c**2 + 16*c - 103. Is a(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-3)*24\/(-16). Suppose k*d - 2*d - 60 = 0. Suppose d = -3*g, m + g - 2*g = 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o. Let c(f) = 6*f**3 - 5*f + 4. Determine -c(l) + 5*r(l).\nAnswer: -l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 30 - 4*h - h**2 - 7*h - 18. Suppose 5*f + 54 = -0*f + 2*w, -8 = f + w. What are the prime factors of v(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*x**4 + 6*x**3 + 368*x**2 - 376*x + 96 = 0. Calculate x.\nAnswer: -3, 4\/9, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1)\/(22 + -23). Suppose -v + 3*o + 1398 = l, 3*v - 4*o = -0*o + 4179. List the prime factors of v.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -72. Let u(o) = -o**2 + 3. Determine u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11856 and 1199679.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let t be z(1). Suppose t*d - 20 = d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 6 + 3. Let q(n) = -2*n**3 - 17*n**2 - 11*n - 27. Let d be q(-8). Calculate the least common multiple of f and (-5)\/(-6 + 2 - d).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 817565870 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -102. Suppose u*r = -6*r + 18. Solve 2*k = 2*g + r*g - 7, 5*g = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0374 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106597442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/44 and 58\/12500*6\/36*-15.\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446.42 or -8003?\nAnswer: -8003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4386 - 2875. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/40 - r**3\/4 - 18*r**2. Determine y, given that s(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 357*h**3 + 2*h**2 - 11*h + 10. Give k(1).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 639*l + 2627. Calculate q(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -45. Suppose -29 = -i + 10. Let y = i + p. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6) + 6 + 0 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 22 = -18*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/720*-12)\/(10\/6*(-24)\/(-120))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98\/9 - -187\/18. Which is the nearest to j? (a) 0.06 (b) -0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -285\/26 (b) 0.5 (c) 63 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:40 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 875229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1016212 (base 7) to base 16.\nAnswer: 1dd67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*z**3 - 10*z**3 + 14*z**3)*(-z**2 + z**2 + 2*z**2 + (-6 - 5*z + 6)*(0*z + 4*z - 5*z)).\nAnswer: 322*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-3 + 558\/180)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 10. Let o = p - 4. Is 3*2*o - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 650 and 6500.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**2 - 3*k + 1\/3*k**3 + 0. Let m(g) = -6*g + 2*g + 1 + 5*g. Calculate -2*h(q) + 6*m(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 2*g)*(376 - 637 + 447).\nAnswer: -186*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 87 = 192*m - 109 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c - 126. Let t be w(-7). Solve -5*u + 6 = -p - 2, -5*u - 4*p - t = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - -1973 - (-1 + -1). Let w = v - 937. Suppose 0 = 15*b + 144 - w. What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**3 - 7*x**2 - 7. Let i(g) = -4*g**3 - 5*g**2 - 5. Give -7*i(t) + 5*n(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 52\/(-8))*(-2)\/39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c - 54*c**2 - 77*c - 39 - 35*c - 34*c. Let j(m) = 11*m**2 + 32*m + 8. Let x(f) = -21*j(f) - 4*s(f). Factor x(p).\nAnswer: -3*(p + 2)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a factor of 1359390230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1153 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 12*q**2 - 2*q - 25. Calculate g(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:18 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263318?\nAnswer: 2, 3, 7, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - -5 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 3761060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15541 plus -1.5?\nAnswer: 15539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41221323 - -3004?\nAnswer: -41213314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 3. Let o be s(-3). Suppose o*k + k - 6 = 0. Suppose -k*j + 195 = -j. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 2402, 3615, 4820, 6011?\nAnswer: 7182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 140469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccctcccccccccctccc. What is prob of sequence tct?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-358371)\/9189*5\/((-1950)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**5\/20 + g**3\/6 + 12*g. Suppose 0 = 2*r + k + 4, -4*r + 10 = -8*r - 3*k. Let a(q) = -2*q**3 + q. Determine r*s(p) + a(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2839130 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + f + 7, 0 = 2*r + 2*r - f + 13. Let n be 1*((-32)\/2)\/r + -3. What is the smallest value in -0.1, 21, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 4. What is s(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -7*v**3\/6 - 3*v**2\/2 - 215*v - 219. Let g(u) be the first derivative of w(u). Determine g(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 4579*y + 13761. Determine k(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36107 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 15, s: 5}. Give prob of sequence isi.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7361197, -7361202, -7361209, -7361218?\n\"Answer: -a**2 - 2*a - 7361194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*v + v. Let i = 6 + v. Suppose i*k + k = 0. Solve -5*m = -10, -4*y + k*m + 4*m = 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 1\/2 - 1\/2*k**2 + 0*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:09 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 276 and 85.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 = 2*z - 0, 5*y - 3*z + 2 = 0. Let o be 69\/(-6)*6\/y. What is o rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Let y = u + -2. Let a = -2 + y. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3 + 5. Let d(g) = -8*g**3 + 2*g**2 + 9*g + 4. Let l(n) = -23*n**3 + 6*n**2 + 26*n + 11. Let t(j) = 17*d(j) - 6*l(j). Determine t(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/216*-15)\/(-5). What is the closest to 0 in 2\/9, 1, u, 4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:41 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 777187963 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let n(s) = -s**2 - 3*s + 76. Calculate k(n(j)).\nAnswer: -j**2 - 3*j + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246001892*g**2 + 15229364 wrt g?\nAnswer: 492003784*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-20)*(-4)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/3)*l*l)\/l**(-3))\/(l**(4\/9)\/(l**(-2)*l)) assuming l is positive.\nAnswer: l**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.2. Let u = 9.9 + -10. Let d = p - u. Which is the third smallest value? (a) 2 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 + 12 + (47 + -4 - (0 - -1))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4 = -2*b + 13, 0 = -2*b + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(10\/3)\/(c*(c**25*c)\/c*c))\/(c**(-4\/3)*c**(3\/11)))**(1\/5) assuming c is positive.\nAnswer: c**(-746\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4633703475 to the nearest integer?\nAnswer: 68071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(441) - 6*(sqrt(441) - -2*sqrt(441))) + sqrt(441) - (-4*sqrt(441)*2 + sqrt(441)))\/(1*sqrt(300)*2 + 6*sqrt(300)*2))**2.\nAnswer: 243\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w + 8. Let l = -5 - w. Solve -4*a = 5*k - 10, -k + 6 = 5*a + l*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285278558 minus 13?\nAnswer: -1285278571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 94?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 138*z + 28. Let c be y(5). Suppose 2*j - 6 = -j, -c = -5*k + j. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2 - (-5)\/4). Suppose 2*u - 4*h = 8, m*u - h + 5*h = 4. Solve 6 + j**2 - 3*j**4 + 6*j**4 + 10 + 6*j**3 - u*j**4 - 24*j = 0 for j.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17646776 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*b - 26 = 0, 50*y + 60*y + 17*b - 426 = 19*b + 464 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:53 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2507 and 5254787.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1647*h**2 - 222*h**2 - 494*h**2 + 1455*h**2.\nAnswer: 2386*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Suppose -2*z = 2*z - 3*f + 3, -2*f - 2 = -4*z. Suppose -z*y - o = -7*y. Is 0 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 4*n**2 - 3*n + 2. Let o be d(2). Let c be 14\/6 + (-1)\/3. What is the units digit of 2\/(-2) - o\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68440 + -69093.46. Round n to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {y: 1, b: 4, a: 3, h: 1, e: 2, v: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**4\/4 + 7*h**3\/3 + 4*h**2 + 4. Let u be j(8). Solve 4*v - 4 + 12 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900940.\nAnswer: 2, 5, 107, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3\/7 + 77115*a**2\/7 + 308496*a\/7 + 308508\/7 = 0. What is a?\nAnswer: -2, 25709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123881816 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssls?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/60 + c**4\/36 + 9*c**2\/2 + 4*c. Let p(g) be the first derivative of q(g). Factor p(u).\nAnswer: -u*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*q + 312*q - 1616 = 157*q - 31*k, 4*q + k - 48 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/7 + -1)*2. Sort -2, 5, b, -12.\nAnswer: -12, -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(544) + -2*-2*sqrt(544)))\/((sqrt(1176) - (sqrt(1176) + sqrt(1176)*-2) - sqrt(1176))\/(sqrt(108)\/(sqrt(9) + sqrt(81)))).\nAnswer: -10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 2*r**2 - r**2 + (-3717*r - 1684*r - 3521*r)*(-2*r + 1 - 1) as p*r + m*r**2 + y and give m.\nAnswer: 17842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (6 - -1) - (9 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 668 + -1146. Let p = -292 - u. Is 47 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20183082 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.368 - 0.368. What is the third biggest value in -31, z, 2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5957 is divided by 244.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/11 - 1154*x**2\/11 + 848*x - 18720\/11 = 0 for x.\nAnswer: -585, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 12:51 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c392a - b0?\nAnswer: 7c384a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 152478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 15, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11446 = 5*v - 64103, 42121 = 4*v - 3*l. Suppose -4*c - 1815 = -v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttbbt. What is prob of picking 1 b and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.7 - -9. Let x = 0 + -0.72. Let a = x + -0.28. Sort 3, i, a in increasing order.\nAnswer: a, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -23. Suppose -11 = -r*j - 3. Suppose j*a = -11 + 123. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 - 319*p + 5654. Let c be y(14). Factor 0 + 1\/2*q**3 - 7*q**2 - c*q + 1\/2*q**4.\nAnswer: q*(q - 4)*(q + 2)*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/6 - x**3\/6 - 2*x**2. Let d be a(-1). Let v be (-14)\/(-4) + d\/(-6). Solve -v*y - 9 = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -196, -207, -222, -241, -264?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7018*t**4 - 4*t - 517738 wrt t?\nAnswer: -28072*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 591836.5 litres?\nAnswer: 591836500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-14)\/q**(-1))\/(q**(-3\/5)*q)**48)**41 assuming q is positive.\nAnswer: q**(-6601\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138619212 is divided by 3121.\nAnswer: 3118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23774 - 3*u + 11*u - 7*u - 5*u.\nAnswer: -4*u + 23774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 9*n**2 - 38*n + 39. Let m be o(12). Let c(x) = 2*x**2 - 28*x - 21. Let d be c(m). Solve 0*b - 3*g = b - d, -5*b + 3*g - 27 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-7)))**43 assuming i is positive.\nAnswer: i**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 2, b: 5, n: 5}. Give prob of picking 2 w and 1 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 16928*v**2 - 33862*v - 16932.\nAnswer: 2*(v - 8466)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/742 + (-2932)\/77698.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61c887 (base 14) to base 5.\nAnswer: -1321044400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534209197 is divided by 15112?\nAnswer: 15109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + (-13 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*v = -346*v - 18*o - 108, 5*v + 13*o - 7 = 15*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((40\/(-7))\/((-1758)\/(-2051)))\/(2*1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -428 take away -80428072?\nAnswer: 80427644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - l - 4 = 3*x, 2*x = -2*l + 16. Let j(r) = 4*r - r - x*r. Let w(z) = -2*z. What is w(j(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/69447 and 34\/89289.\nAnswer: 625023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 125 * 645344\nAnswer: 80668000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 3\/2*j**2 - 54 + 1\/10*j**5 - 1\/6*j**3 + 2*j + 1\/3*j**4. Let l(w) = -3*w**3 - 5*w**2 + 2*w - 4. Calculate 4*l(k) + 5*u(k).\nAnswer: -2*k**3 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2094, 8350, 18756, 33306, 51994, 74814, 101760?\n\"Answer: -y**3 + 2081*y**2 + 20*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414024191?\nAnswer: 17, 142001423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*j + 2*j - 37 = 0, -4*j - 35 = 3*z. Let g be (6\/z)\/((-1)\/9). Let k be g\/(-8) + (-6)\/(-8). Solve 0 = 5*w - 5*t - 40, -3*t - 8 = w - k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 1) + -364 + 397\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) 0.06 (d) -0.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 109 + 3 + -2. Let h be 395\/2 - (-35)\/(-14). Let w = h - 183. Calculate the greatest common factor of w and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giommg. What is prob of picking 2 m and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**3 - 2*v**2 + 3*v + 3. Let z(k) = -k**3 + k**2 - k - 1. Let l(y) = -t(y) - 2*z(y). Suppose -8*u + 5*u = 3. Calculate l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 - 182*n**2\/3 + 512*n\/3 - 440\/3.\nAnswer: 2*(n - 2)**2*(9*n - 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.33 - -11.33. What is the second smallest value in c, -1, -0.14, 0?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 153622, 153660, 153698, 153736, 153774, 153812?\n\"Answer: 38*w + 153584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21595.97 times -205?\nAnswer: 4427173.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1717 - -3652\/187153. Let x = 252\/1853 - t. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((30\/4)\/(-5))\/3. Let g be 1\/(-2) - 240\/(-12). Let i = g - 77\/4. Which is the closest to -1? (a) -4 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9156 = 3*u + 2*u, 4*u - 3*y = 7331. Suppose -4*j + u = 4*l, j + l = 2*l + 462. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**8\/48 - 4*b**5\/15 + 8*b**2 + 2. Let s(r) be the second derivative of n(r). Find the third derivative of s(k) wrt k.\nAnswer: -420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*4*sqrt(1300)*1 + 1 + (sqrt(325) - sqrt(325)*1*-3).\nAnswer: 5 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357170 and 60.\nAnswer: 2143020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - k. Let w be i(1). Let h = -4 + 4. Suppose h = -4*n + 4*c + 127 + 201, w*c - 182 = -2*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 2*h**4 - 2*h**4)*(-10*h - 18 + 18) - 43*h**5 - 63*h**5 - 60*h**5.\nAnswer: -156*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2008*l - 615*l + 1123*l - 409*l.\nAnswer: 2107*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**3*n**2 + 946838*c**3*p**2 - 793*c**2*n**2*p - 80*c*n**2*p + 3*c*n*p - 4*n**2*p**2 wrt c?\nAnswer: 36*n**2 + 5681028*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-132)\/(-4))*6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -12*x + 5*x. Let q(v) be the second derivative of v**4\/12 + v**3\/2 + 7*v**2\/2 - 31*v - 12. Determine q(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65461*x + 65492*x - 130965*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 53*x - 37. What is c(26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1161 - 1 = 0. Suppose -3*c = -q + 13. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195e (base 16) in base 5?\nAnswer: 201434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474 is divided by 1208?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 2. Let a be g(1). Let h(j) = -3*j + 15. Let z be h(a). Suppose z = 3*k - 3*q - q - 294, k - q - 99 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2)**2 - sqrt(1053))*6 - sqrt(1053) - sqrt(1053).\nAnswer: -72*sqrt(13) + 25272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 38. Let b be 0\/(2 + 3 + -1). Suppose -12 = -q - b*q. What is the highest common factor of q and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/(-6) + -2)\/((-33)\/(-2718)). Let a = k - 192. Sort 1\/14, a, -0.2 in increasing order.\nAnswer: -0.2, 1\/14, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 + l + 2. Let d be b(0). Suppose -d*v - 2*v - 92000 = 0. What is v rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-2)**2 - 5*sqrt(171).\nAnswer: -15*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36)*-2)\/(8\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 6:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ba3 - -503?\nAnswer: 32a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*u - h, 0 = 3*u + 8*h - 5*h + 66. Let o = u + 23. Suppose 0 = o*i - 3*i + 5. Solve i*b + 4*g = 0, 4*g - 2*g - 18 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6384)\/(-60) + 1 + (-14)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 + 110*u**3\/3 + 1456*u**2 - 6272*u + 1255. Solve l(g) = 0.\nAnswer: -56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 60*k + 0 + 0*k**2 + 0*k**3 + 1\/8*k**4 - 3\/40*k**5. Determine g so that c(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39a7a4 + 28?\nAnswer: 39a7cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/41, -3, 14, -2 in descending order.\nAnswer: 14, 1, 2\/41, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 0.02 (c) 0.1 (d) -0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 223*t**2 - 137*t - 861. List the prime factors of x(-6).\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(0*t + 5*t - 4*t)*(2 + 315*t - 641*t + 316*t).\nAnswer: 10*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 6) to base 3\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:39 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnldldldl. Give prob of picking 2 n and 1 d.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1. Let q(d) = -2. Let i(o) = 3*q(o) - 7*z(o). Let x(w) = -440*w**3 - 436*w**3 + 4 + 877*w**3. Give -2*i(h) + x(h).\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1089 and 2097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 916747 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46d (base 16) to base 7\nAnswer: -3206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j - 6468 - 1980 = -359*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1110101100?\nAnswer: -1110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/38 - 14*k**3\/57 - 5*k**2\/19 + 10*k. Factor l(a).\nAnswer: 2*(a - 5)*(3*a + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32795\/4 - -8199. What is the closest to r in -2, 0.5, -5, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 16 = -44 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 0.2 (c) -440.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 25*y + 66. Give s(19).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2254320 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 1. Let z(u) = -u**2 + u + 1. Let c(m) = m**3 + 8*m**2 - 10*m - 9. Let j be c(-9). Suppose j*a - 10 = 2*a, 0 = 4*d - a - 9. Give d*x(i) + z(i).\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 557203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 368424 divided by -252\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 38, -4, 0, -0.6, 0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585264 is divided by 982.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146341, 146339, 146337, 146335, 146333?\nAnswer: 146331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434532156*f*u**3*w - 7301*f*u**2*w - 39*f*u*w - 2*u**2*w - u**2 wrt u?\nAnswer: -2607192936*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 8*l**2 - 8*l - 6. Let v = -36 + 13. Let o = 32 + v. Let x be k(o). Which is the third biggest value? (a) x (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 153, 341, 595, 909, 1277?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -205.5. Which is the smallest value? (a) 2 (b) 5\/8 (c) o (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1045 - -23518. Let n = 43462 - f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 397 - 81. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 26 + 10. Let m = w + 81. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -37*r**5\/60 - 6*r**2. Let q(v) = -v**2. Calculate q(g(z)).\nAnswer: -1369*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 31. Calculate g(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3179486927.\nAnswer: 3179486927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z - 1. Let v(i) = -7*i + 3. Let a(c) = 9*c - 4. Let j(f) = -4*a(f) - 5*v(f). Determine -d(w) - 2*j(w).\nAnswer: -8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2627644 rounded to 2 dps?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 + -0.9. Which is the smallest value? (a) 0.3 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14221, 28448, 42685, 56938, 71213, 85516?\nAnswer: 99853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 3*p + 3. Let w be k(7). Let j = -17 + w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o**5 + 2368*o**4 + 143104*o**3 - 560620*o**2 - 3611974*o - 2116884 = 0.\nAnswer: -319, -79, -3, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -17. Let p(v) = v + 11. Let b be p(0). Suppose 5*f = b + 14. Sort f, z, -0.2 in decreasing order.\nAnswer: f, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12088*a**3 - 1446*a**2 - 2105017*a + 8 wrt a.\nAnswer: -72528*a - 2892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/8 + 1083309*f\/8 + 1083315\/4 = 0.\nAnswer: -2, 361105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49375 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 165 - 260*k**2 - 61)*((-5 + 3 + 3)*(3*k**2 - k**2 + 2*k**2) + (-1 + 2*k**2 + 1)*(-2 - 1 + 4)).\nAnswer: -1560*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 269571 and 12184.\nAnswer: 2156568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.66 - 2.5. Let q = 0.14 + k. Which is the second biggest value? (a) 3\/7 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j + 8. Suppose 634 = 5*y - 2*i, -y + 3*i - 265 = -3*y. What is the lowest common multiple of y and h(-24)?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 - 124. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/4 + 8*b**3\/3 + 4*b**2 - 11*b + 919. Determine n(-8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0 + 0*l**3 - 1\/4*l**4 + 1\/2*l**2 - l. What is the first derivative of q(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26) - 0 - 481\/(-169). Let t(p) = -3*p - y + 0*p - 2*p**2 - 4*p. Calculate t(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u. Let c be h(6). Let j(r) = 7*r - 1. Let g be j(c). What is the tens digit of (305 - g)*2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = -0*s. Suppose 0*c = -s*c + 95. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/383, 310, 0.879?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1495478299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*x**4 - 7081*x + 87*x**4 + 11*x**2 + 107*x**4 - 281*x**4 wrt x.\nAnswer: -1920*x**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/627 + (18\/57)\/3. Suppose i = 5*y - 3 - 22. Which is bigger: y or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29303167.\nAnswer: 43, 523, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6228 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:06 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgg when three letters picked without replacement from {d: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-8) - 5139582\/(-632)?\nAnswer: 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015507 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/u**(-2\/5)))*u)**(15\/2)*((u\/u**(-10)*u)\/u)\/u**(2\/29))**(1\/12) assuming u is positive.\nAnswer: u**(839\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**4\/8 - 44*q**3\/3 - 3*q**2 - 458. What is m(23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l**3 - 11*l**2 + 6*l + 5. Let z(s) = 15*s**3 - 12*s**2 + 8*s + 6. What is -6*r(c) + 5*z(c)?\nAnswer: -3*c**3 + 6*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/124 in 0.3, -1\/27, 0.4, -9, 2\/17?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 14?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173605849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 2*n + 1. Let j(l) = 6*l**2 - 7*l - 2. Let p(i) = 7*i**2 - 8*i - 2. Let t = 4 - 7. Let u(m) = t*j(m) + 2*p(m). Calculate -9*d(a) + 4*u(a).\nAnswer: 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 3. Let k = 94 + -90. Let r(l) = 11*l - 7. Calculate k*r(x) + 9*y(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6.9. Round o to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82249 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -10, -6, 4.272.\nAnswer: -10, -6, -3\/7, 4.272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12740000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a - 3. Let l(i) = 5*i - 1. Let t(q) = 5*l(q) - 2*z(q). Let k(n) = 2*n + 1. Calculate 7*k(f) - 4*t(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*n + 15*n. Solve -5*i - n*u - 15 = 0, -3*u + 6 = -9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from {l: 2, v: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**8\/2240 + y**7\/280 - y**5\/10 - 3*y**4 - 2*y. Let u(x) be the third derivative of o(x). Factor u(s).\nAnswer: -3*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) - (588\/(-60) - -10). Is n >= 9\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63\/(-45)*4\/(-14). Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 7*r + 3. Let f be z(-5). Let s = f + -15. Let q be 6\/14 - 66\/56. Which is the third smallest value? (a) q (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2664987881 plus 0.149?\nAnswer: -2664987880.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*u + 89, -5*t + 1 + 134 = -5*u. Suppose -28*m + t*m + 155 = 0. Suppose -28*h - 3 = -m*h. What is the greatest common factor of h and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1219 + -1211. Suppose 7*z - 2*z - 20 = 0, 2*p - 36 = -2*z. Calculate the greatest common divisor of v and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 2. Let p be r(2). Let f(w) = -w**2 - 4*w + 6. Let i be f(p). Is 16\/6*(i - -12) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 4, -17 in decreasing order.\nAnswer: 4, -17, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 31916.\nAnswer: 31918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-88) + (297\/(-216))\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 0*a - a + (26 - 26 - 8*a)*(5 - 4 + 0) + 4 - 4 + a to s + t*a and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1224)*-1)\/sqrt(2).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -13. Solve -p*w = -0*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -327. What is the greatest common factor of 40 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 4*d + 36. Suppose 5*a - 5*u = 15, -27*a + 36*a = 4*u + 32. Calculate the remainder when d is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 2*a - 2, 10*w - 7*w - 4*a = 30 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-278)\/(-139)*(2 + 1 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-60798)\/(-5) - (296\/(-40) - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5556*x - 38889. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -70*a**3 + 69*a**3 + 9 + 0*a + 6*a**2 + 7*a. Let l be q(7). Suppose 0 = -4*j, 4 = 2*f - j - 0*j. Solve -u = f*u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1195*d + 23892. What is z(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = -12*a. Suppose a*k + 12 = 4*k. Suppose k*c - 4*c = -1200. Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 - 4*d**2 + 3*d**2)*(d**2 + 2*d**2 - 2*d**2) + 31*d**4 + 17*d**4 + 34*d**4 as l + b*d + j*d**2 + m*d**3 + t*d**4 and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*i - 2*i - 13, 0 = 4*i + 4*p + 36. Let n = i - -5. Suppose -3*v - 12 = z, -4*z + v + 17 = -n*z. Let d(c) = c - 4. Determine d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7804 - -7800. Let g = 3 + -16. Sort -0.2, -1, n, g in descending order.\nAnswer: -0.2, -1, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29567716 greater than or equal to 29567718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -586 - -580. What is the fourth smallest value in -1\/4, i, -1.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.45 * 12\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1433*c**2 - 17. Let q(p) = 941*p. What is q(i(f))?\nAnswer: -1348453*f**2 - 15997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - 32. Calculate the remainder when 30 is divided by 12\/m*-76 - 2\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*h - 2*n = -591*h - 11, -2*h + 5*n - 42 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*v + 4*c - 25, -4*c = -4*v - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55, -37, 0.2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:55 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 6 + 3 - 1360. Does 57 divide (-5 - -6) + p\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 6*b**4 + 0*b**3 + (-3 + 2*b**2 + 3)*(-63 + 63 + 13*b**2).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l - 1 = -56*l. Solve -9 = 5*q + l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23823773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -315*v - 313. Let x be w(-1). Solve -2*f - x*g = 4, 20 = 2*f - 9*g + 5*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 17639.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121843, -487295, -1096383, -1949107, -3045467, -4385463?\n\"Answer: -121818*s**2 + 2*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -3\/2*s**2 - 2*s - 1\/3*s**3 + 0. Calculate o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*y = -194*y + 5*u + 59, y = 5*u - 22 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -903826 divided by -14\nAnswer: 64559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/12 - 2*t**2. Let z(n) = -11*n**2. What is z(u(o))?\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t + 0*t**4 + 0 + 1\/60*t**5 + 25*t**2 + 0*t**3. Let m(x) = -x - 295. Calculate q(m(y)).\nAnswer: y**2 + 590*y + 87025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 36, 98, 184, 294, 428?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-3)\/1) + 2 + -1. Suppose s = -u + 7. Let x be 73 + (-2)\/(-3)*(-8 + s). What is x rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 831 = -429. Let q = 12 - b. Let d be 47*1\/4 - 114\/q. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 57*c**3 + 342*c**2 + 672*c + 384.\nAnswer: 3*(c + 1)*(c + 2)*(c + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Suppose -o*v - 35 = 4*k, -k - 20 = 3*v - 0*v. Suppose -j + 2 = -2. Put v, j, 1 in decreasing order.\nAnswer: j, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 - 27\/5.\nAnswer: 3*(u - 3)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.17268 grams to milligrams.\nAnswer: 26172.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 * -1023373\nAnswer: 14020210.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40275?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10343 + 5?\nAnswer: -10337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0 (c) 27 (d) 4\/5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12311867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1697076 and 1023237?\nAnswer: 69580116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15691 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let t(y) = -5*y**2 - 3*y - 2. Let p(w) = -4*l(w) + t(w). Differentiate p(o) wrt o.\nAnswer: -10*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 = -8*r. Suppose -4*w + 96 = d + 36, 2*w = r*d - 70. Differentiate d - 73 + 37 + b wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1484125 - 42*o - 2*o**2 - 1484125.\nAnswer: -2*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f**3 - 2*f**2 - 4*f + 2. Let t be c(-2). Suppose -134*b + t*b = -108. What is the greatest common factor of b and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than or equal to -43660\/3773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16115092*i**2. Let f(v) = -8*v**2. Determine f(z(l)).\nAnswer: -2077569521347712*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 12585088?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.5, 2\/7, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwqqqqqqwq. Give prob of picking 1 q and 1 w.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - 192\/(-80). Suppose l*s = -3*u + 4, 13 - 4 = 5*u + s. Let x be 1 + -1 - (-5 + -1). What is the greatest common factor of u and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 6. Determine r(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*p - 75*p + 75987 = 72179 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -255.203263 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573 times 0.4?\nAnswer: 1029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 37, -49, 1, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 9. Let v = k + 0. Let q be (12\/v)\/((-4)\/6). Which is the second biggest value? (a) q (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*u**2 + 577*u**2 + 557*u - 7*u**3 - 556*u.\nAnswer: -7*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(275) - sqrt(275)) + (2*(1*sqrt(275) - sqrt(275)))**2 - (sqrt(11) + (sqrt(539) - -1*sqrt(539)))**2*1*-5.\nAnswer: -30*sqrt(11) + 12375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/56*(-21)\/(-6). Suppose 5 = 3*h - 8*h. Let u(z) = z**2 + 6*z - 2. Let s be u(-7). What is the closest to h in -1, f, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/29)\/((-2)\/200). Let r = z - 2355\/116. What is the common denominator of r and (-123)\/(-140) + 44\/77?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*a = 279*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/21080 and -97\/38440.\nAnswer: 653480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -607*o**2 + 635*o**2 - 2*o**5 + o + o**5 + 3*o**4 + (5*o**2 - 4*o + 4*o)*(-4*o**3 + 6*o**3 - 3*o**3) - 4*o**5 + 4*o**5 + o**5.\nAnswer: -5*o**5 + 3*o**4 + 28*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t + 89. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -5*h + 28. Let m be h\/((-6)\/(-9) + (-28)\/60). Suppose -5*g = -5*t - 115, m*g + t - 97 = 5*g. Solve 2*n + g = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 21 = -9*v + 4*v, 0 = 2*v. Sort n, 3, -3 in decreasing order.\nAnswer: 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 8*s - 2. Let t be 5 - -1*(2 - 0). Let w be j(t). Sort w, 0, -1 in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27.611 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11241199 to the nearest integer?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s + 2619. Calculate b(-21).\nAnswer: 2976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -830, -846, -864, -884?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 13. Let s = i - 17. Suppose s = -3*c + 9*c - 132. Calculate the smallest common multiple of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - 3*v - 4*v to r*v + c and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -27. What is the units digit of i\/(2\/(-3)) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90121153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -650633.\nAnswer: 1106076.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - -3 - 5) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((1\/(-3))\/(5\/15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334160 - 5?\nAnswer: -334165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 0. Let z = f + 3.84. Let b = z + -0.74. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -2\/105*t**7 + 3*t**2 - t**3 + 0*t**6 + 0*t**5 + 0*t + 0*t**4 + 0. Differentiate j(c) wrt c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107123.0000048467 + 107123. What is v rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + 2964\/(-186) - -5. Let x(c) = -c**3 - 2*c**2 + 14*c - 10. Let r be x(-5). What is the smallest value in -1, 1\/4, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63.3376133+-3\nAnswer: -66.3376133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(2*u + u + 0*u + (0*u + 0*u - u)*(-1 + 1 + 2) - u - 2*u + u) to the form f*u + b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114544, 114543, 114542, 114541, 114540, 114539?\nAnswer: 114538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkkrrrrkrckrrrkk. Give prob of picking 1 r and 1 c.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n**2 + n. Let j be (0 - 4\/(-3))*(-6 + (-15)\/(-2)). Let k(r) = r**2 - r. Give j*t(s) + 4*k(s).\nAnswer: 28*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 497327 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2 + -1 + 1. Suppose -b*c - c = 0. What is the remainder when 1 is divided by (-1)\/(1\/(-1) - c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 236672*h**3\/9 - 202380704*h**2 - 3529898*h\/3 - 15392\/9 = 0?\nAnswer: -1\/344, 7696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7685189, 0.2, -0.2 in ascending order.\nAnswer: -7685189, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.5. Let d = 4.4 - 4. Which is the third biggest value? (a) d (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 6*z**2 - 7*z. Let s be a(-7). Suppose s*m + 4*m - 68 = 0. What is the greatest common divisor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 476773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 865600 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -31) + -23 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q + 3. Let z be h(-7). Suppose -b - b + 5*k = 0, -z*k = 0. Solve b = 2*w + 2*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1710)\/(-1881))\/((-3)\/(-66)). Solve -2*s - p = -5*z, -1 = 2*z + s - 0*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42276287.\nAnswer: 29, 1457803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36044053573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 10*g - 5. Suppose -2*u - 3*j - 2 = j, 3*j = -2*u + 3. Let s be c(u). Let y(t) = -2*t - 6. Let b be y(-4). Solve -2*a = -b - s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {n: 1, z: 1, o: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v = -5*i + 100, 3*v = 0. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 16800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 43, -0.5, -0.1, 0.02, -0.2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 5 = 0. Suppose j*k = -t + 8, -3*t = k + 3*k - 14. Which is the biggest value? (a) k (b) -1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206 divided by 134?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3879091 and 31380?\nAnswer: 232745460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783222 is divided by 2501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -23, -24, -17, -2, 21?\n\"Answer: 4*n**2 - 21*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4935\nAnswer: -4935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cclgplcpcclcczmc. Give prob of picking 1 z, 1 p, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1755\/((-18)\/2)*2\/(-10))\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {f: 1, y: 1, p: 1, i: 4, g: 8, s: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*y**2 - 18*y**2 - 2 + 4*y**2)*(-13*y + 26*y + 8*y)*(-1 + 5 + 3*y - 3) to n*y**2 + o*y + p + r*y**3 + b*y**4 and give b.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 15783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1173951731.2\nAnswer: 1173951726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74, 78, 82, 86, 90?\n\"Answer: 4*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*h + 45, 0 = -p + 5*p - 3*h - 60. Let x be (62 - p\/(-5)) + -1*2. Suppose -x*y = -67*y + 8. Solve -3*u = 5*a - 11, 5*a + 2*u = 7 + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 9 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0 - 1\/120*v**6 + 0*v + 0*v**4 + 4*v**2 + 1\/2*v**3 + 0*v**5. Find the first derivative of q(m) wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -312, -265, -218?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 3 - 3 + 0*z + z in the form m*z + y*z**2 + c and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -304, -446, -582, -712, -836?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -367 (b) 2\/5 (c) 4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4505 is divided by 52?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + o + 21. Let y be z(0). Let s = -25 + y. Let m(k) = -2*k + 1. Give m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 191*s - 4*s - 79*s + 0 to k + q*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 7*i - 2*i - 9, 0 = 5*i. Calculate the remainder when 114 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -918, -917, -924, -945, -986, -1053, -1152?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(90\/8))\/(1272\/(-72) + 13). Let j = -8 - -3. What is the third biggest value in -2\/5, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54\/923 + 390218\/19383. Let a = x - 132\/7. Factor 0*j - 2\/3*j**4 - 2\/3*j**2 + 0 - a*j**3.\nAnswer: -2*j**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1638740 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.93 - -2. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2. Let n(f) = -24*f - 3 + 7 + 27*f. Let t(z) = z + 1. Let v = -2 - -1. Let y(q) = v*n(q) + 4*t(q). Give u(y(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175)*2)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w - 63*w - 29*w + 2*w.\nAnswer: -128*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 63 = 3*m, 2*m - 7*w = -5*w - 4*w - 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -94*h**2. Let s(m) = m - 1. Let p(b) = 2*b - 4. Let w(n) = p(n) - 4*s(n). Give o(w(k)).\nAnswer: -376*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 112. Suppose 110 = p*o - 10. Calculate the smallest common multiple of o and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 960\/41, -61, 1 in increasing order.\nAnswer: -61, 1, 960\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/71, -6, 570 in descending order.\nAnswer: 570, 8\/71, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**5 + 85*z**4 - 80*z**3 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:15 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508 divided by -80.\nAnswer: 127\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*c = 306*c - 113150. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11332 + -13312?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a**2 - 8\/3 - 1\/3*a**4 - 22\/3*a - 8\/3*a**3 = 0. Calculate a.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 17*p**2 + 8*p + 54. Determine n(-17).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z - 88. Let k = 25 - z. Suppose 5*h + p = -3*p + k, 36 = 4*h + 4*p. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12393*m**2*w**4 + 3*m**2*w**2 - 678*m**2*w + 14*w wrt w?\nAnswer: 148716*m**2*w**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 9*k - 10. Let n be w(9). Let z = n - 8. What is the units digit of (4\/6)\/((-4)\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 divided by 6913?\nAnswer: -13\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -8685\nAnswer: -607.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30932.9982361 - -30933. What is h rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 18, -4, -1, 5, -6201 in descending order.\nAnswer: 18, 5, 0.1, -1, -4, -6201","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -10. Let h be -3 - -2 - 6\/f. Let i(o) = 55 - 114 + 8*o + 67 + 4*o**h. Let v(b) = -3*b**2 - 5*b - 5. Give 5*i(z) + 8*v(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -17*p**6\/120 - p**5\/12 - p**4\/4 - 5*p**3\/6 + 31*p**2 + p. List the prime factors of q(-3).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1792 (base 10) in base 15?\nAnswer: -7e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 + 41*w - 41*w)*(-2*w**2 - 3 + 3)*(4*w - w - 6*w).\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7815 = 9*y - 10236. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/4 + 4*k**3\/3 - k**2\/2 - 3*k - 30. Let q be t(4). Sort -2\/3, q, 2\/9, -1\/3.\nAnswer: q, -2\/3, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 + (-13 - 146 - -117)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-1)\/sqrt(6) + sqrt(28) - -4*sqrt(700) - (sqrt(84)\/(1*sqrt(768)) + 5).\nAnswer: -5 + 319*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.419 and -65.5?\nAnswer: 65.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q*q**3*q*q)\/q))**30*(q*q**13)\/((q**11\/q)\/q))**4 assuming q is positive.\nAnswer: q**(-580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -759 at most as big as -17455\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from beeagggqbgggeqqgjeq?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809 divided by -1.\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/5)\/((-3)\/16500). What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/8 + 485*a**3\/8 + 12627*a**2 - 13541927*a\/2 + 6758276 = 0 for a.\nAnswer: -328, 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (5 - 6)*(1 + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14107 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: Let b be 22\/6*2 + (-26)\/(-39). Let l(n) = n**3 - 6*n**2 - 8*n - 15. Is l(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*(-79)\/(-1106))\/((-18)\/(-92)).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 14*x**2 - 17*x - 20. Let k be v(15). List the prime factors of ((-3)\/3 - -12)\/((-2)\/k).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.261 + 0.519. Let h = k + -0.48. What is the fourth biggest value in -2\/9, 2, -40, h?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309970973*g**3*r*t + 26580*g**2*r*t + 3*g**2 + 19*g*t wrt g?\nAnswer: -1859825838*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/(-18) + 6\/(-27). Suppose 2 = -4*g - 2*w - 2, -5*g - y*w = 7. Let l = 5 - g. What is the least common multiple of 11 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + 4\/14 + 10. Let u be (-55)\/(-3 + o\/5) + -2. Round u to zero dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1153.983 + 1152. Let k = 55.743 + p. Let y = 53 - k. What is y rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0275 - 0.2725. Suppose 0*b = -3*b - 15. Sort 0.9, z, -1, b in increasing order.\nAnswer: b, -1, z, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11*b + 7*b + 6 = 0, 4*b - 21 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -74, -58, -16, 64, 194?\n\"Answer: 2*h**3 + h**2 - h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - q = 0, -5*h + 2*q - 24 = 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29305529.1 plus -4.7?\nAnswer: 29305524.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 2*k**4 + 0*k**2 - k**2 + 4 - 4 to the form s*k + v + g*k**3 + l*k**2 + x*k**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 8*s**2 - s - 6. Let i be m(-8). Solve -4*t = 4*x - 20, -5*x - 3*t + 19 - i = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -474 or -469?\nAnswer: -469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 243 + 77)*(q - 6*q + 3*q) + (-3 - 2 + 6)*(0*q + 2*q + 0*q) - 6 + 4 + 0 - q.\nAnswer: 165*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxt. Give prob of picking 2 t and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 + 4*h + 5. Let j be 2\/(9\/2 - 5). What is i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.886 - -0.114. Let n = r - 73.192. Round n to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/(4\/8). Suppose 0 = p - a. Suppose 0 = -y - 3*u - 0*u - 7, 4 = p*y + 2*u. Solve -7*c = -y*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -7*y**3\/3 - 2. Let d(z) = 0*z + 9*z - 13*z + 3*z. What is l(d(q))?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 1}. What is prob of sequence qe?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -50, -60, -68, -74?\n\"Answer: k**2 - 15*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3576 (base 9) to base 16\nAnswer: -a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 4. Let l(h) = -5*h + 3. Let w(p) = -3*g(p) + 4*l(p). Let b(j) = 2*j**2. Calculate w(b(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 24 - 4. Suppose -12 = -s*g + 88. Is (-47)\/(-5) + (-8)\/g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-2 + sqrt(720))**2*6.\nAnswer: -288*sqrt(5) + 4345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-147))\/((-378)\/441)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -105. Suppose -f + 4*f = -2*y + k, 0 = -f + y + 12. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -15*z + 12*z + 2*a - 0, -15*z + 2*a + 61 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625580 rounded to the nearest ten thousand?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42113.99g to tonnes.\nAnswer: 0.04211399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185 - 185 + 674*u)*(5 + 0 - 3)*(2 - 4 - 2) + 5 - u + 0 - 2.\nAnswer: -5393*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 26*r**2 - 232*r + 37. What is t(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2311 - 1072. Suppose -3*x = -2*q + 5436, -4*x + d = q - 1490. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1082918 * -0.4.\nAnswer: 433167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-12)\/10)*5. Suppose -16 = -s*i - 3*f, 4*i = 5*f - 4*f. Is 4\/3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 752, 1535, 2358, 3227, 4148, 5127, 6170?\n\"Answer: c**3 + 14*c**2 + 734*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-12))\/((243\/9)\/9).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - j - 11 = 2*u, -5*j = -5. Let i(z) = z**3 - z**2 - 2. Let y be i(2). Find the first derivative of 5*h - 3*h + h - u - y*h wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 119.7.\nAnswer: 119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/17? (a) 0.027 (b) -3 (c) -0.5 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2 + 1)*-1. Let n(r) = 4 - r - 3*r + j. Suppose -8 = 2*k, 3*k = -4*l + 1 + 3. Give n(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 96, -49, -378, -951?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 7. Let p(l) = -6. Let g(q) = -1. Let k(w) = -5*g(w) + p(w). Let s(i) = d(i) + 4*k(i). Let z be s(10). What is the third biggest value in z, 3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {c: 5, w: 2, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*2 + 5 - sqrt(1700) - (-1 + -1 + sqrt(1700))) + 5*(sqrt(1700) + 1) + -3)**2*6.\nAnswer: 5400*sqrt(17) + 255486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -4)*1*(-39)\/(-91). Put v, -57, 4 in descending order.\nAnswer: 4, v, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 22*b**2.\nAnswer: -b**2*(b - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*y - 23 = -0*c, 2*c = -2*y - 22. Let x(z) = -z**2 - 12*z - 8. What are the prime factors of x(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40117.7750204606 plus 2?\nAnswer: 40119.7750204606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 1203392*l\/3 - 7220244.\nAnswer: -(l + 18)*(l + 1203374)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 2, q: 3, i: 6, k: 3}. What is prob of sequence kqi?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(20)*-2)\/sqrt(10) + 5)**2 + -1 + (sqrt(800) - sqrt(2))).\nAnswer: -sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*d - 16 = -6, -5*v = -3*d + 2. Let x = -0.87 + 0.07. Let k = 0.4 + x. Which is the third smallest value? (a) v (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -5.5. Let a = d - -4. Let w = -0.5 + a. What is the second smallest value in w, 1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 1\/24, 4\/3, 0.2?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122973.5859 + -122967. What is r rounded to 2 dps?\nAnswer: 6.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*5*(sqrt(704) + 1*sqrt(704))*6*-3)**2.\nAnswer: 456192000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (49 - -67)*2\/2 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 4 (c) 0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f + 11. Let g(z) = 2*z + 2*z + 4 + z. Let l(j) = -2*j + 4*j - 4 - 3*j - 4*j. Let x be l(-3). Determine x*g(q) - 4*t(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42955, -85917, -128891, -171883, -214899, -257945?\n\"Answer: -i**3 - 42955*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308852967 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(-3*o - 3*o + 5*o)*(4*o - 2*o - o) in the form p*o**2 + m*o + s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 772224 + 15?\nAnswer: 772239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*k**2*m**2 + 3029*k**2*m + 5*k*m**2 + 159*k*m - 2*m**2 + 150*m + 3 wrt k?\nAnswer: 452*m**2 + 6058*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12777 is divided by 909.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/40 - (-14)\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**45\/((r**4\/r)\/r*r\/((r*r**8*r)\/r))*(r**(3\/7)*r**(-3))\/((r\/(r\/r**(1\/11))*r)\/r*r**(-3)) assuming r is positive.\nAnswer: r**(-502\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, a: 3, k: 1, z: 1, b: 4}. What is prob of sequence db?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8848 and 23779?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 21, -3, 0, -1, 887 in ascending order.\nAnswer: -3, -1, 0, 1, 2, 21, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 190997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.58 + -0.74. Let t = -39.3 + 38.9. Which is the third smallest value? (a) 4 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 67554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 3*z + 17, -f - 5*z - 1 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715268 divided by -3?\nAnswer: 571756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -34*v + 53. Calculate j(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 2*f + f + 6 = -4*w + 2*w + 36*w, 43*w + 10 = -5*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*n - 2*s + 1666, 0 = -n - 5*s - 534. Let c = -355 - n. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 5*l - 85 = 17*l - 12*v, 15 = 5*l - 2*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cndau. Give prob of picking 1 d, 1 u, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-36) + (-38)\/(-6). Let g be s\/5*(-150)\/(-60). Factor -g*z**4 + 0*z + z**2 - 5\/2*z**3 + 0.\nAnswer: -z**2*(z + 1)*(7*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-24))\/(15 - 50\/4).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/80 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118679 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -12\/7*s - 2\/7 - 10\/7*s**2 = 0?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 14 = -2*z, -2*z + 80*a = 79*a + 14 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -0.3 (c) -216 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004586 and -3133.\nAnswer: 14.367938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) 2\/5 (b) 1\/3 (c) -4 (d) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)\/d**(-4))**(-35)*(d*d*d\/(d\/d**(-1\/4))*d*d\/d**4)\/(d**(-1\/4)\/d*d*d)**(-2) assuming d is positive.\nAnswer: d**(-611\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -149*(-4)\/(-5 - -9). Let f = w - 156. Let l(x) = -5*x**2 + 7*x. Let u(z) = 3*z**2 - 4*z. Give f*u(j) - 4*l(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1819 + 219 = 10*y. Is 16 a factor of 105\/(-70)*(-4)\/(-6) - y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*o + 7 = 0, -5*o + 24 + 1 = 0. Let z be 12\/66*(m + 1). Suppose -3*i = x + 10, 0*x + x + 13 = -4*i. What is the second biggest value in x, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(35)\/sqrt(5)*-5*-5 + 1 + sqrt(448) + 0))**2.\nAnswer: 1650*sqrt(7) + 190600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb - -10?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16820*r**2 + 8700*r - 1125 = 0 for r.\nAnswer: 15\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 2*u = 11*i + 6, 0 = -4*i + 4*u + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -2924.06\nAnswer: 2900.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1014 + -3883\/4. Let b = m + -415\/12. Which is greater: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/7)\/a*a\/(a\/(a\/a**(-2\/29)*a)))\/(((a\/(a**(-15)\/a)*a)\/a)\/a**(2\/3)))**(1\/25) assuming a is positive.\nAnswer: a**(-8426\/15225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5024319 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - 4 - (-92)\/1 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 8, -2*b = -4*y - 7*b - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 196 = 8*d. What is the remainder when 291 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82221313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472 - -472. Put u, 75, -2 in descending order.\nAnswer: 75, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495777 is divided by 40254.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54170413?\nAnswer: 11, 269, 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.91 - -1.11. Let q = 1.98 + 0.02. Let z be 0*5\/(-40) - (1 + -1). What is the nearest to 2\/5 in z, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/33*(-1 - -7). Let r = g - 23. Let a be (-4 - r) + 6\/(-2). Solve -m - 1 - 2 = a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/6 or 14355972?\nAnswer: 14355972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295 and 13660.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3168264 to four dps.\nAnswer: -0.3168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**6\/360 - y**5\/30 + y**4\/6 + y**3\/6 + 36*y. Let g(x) be the second derivative of j(x). Factor g(t).\nAnswer: (t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(1 - 1 + 3)*(-27 - 29*v + 27).\nAnswer: 261*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15288235 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 - 4*g**2 + 13*g - 10. Let y = 110 + -115. Is n(y) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3627591.919 to the nearest 1000.\nAnswer: 3628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 424 = 5*u - 2*k, -165 = 2*u - 3*k. Calculate the common denominator of (-1 - -3)\/(15\/u) and (-62)\/12*2\/(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-4) + 0 + -1*2. Let v be ((-1)\/(-6))\/(j\/(-2)). Is -4\/19 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 945\/28)\/((-10)\/48).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 3*k)*(2 - 3 + 2) + (-k + 2*k + k)*(-1 - 1 - 9) + (0*k + k - 3*k)*(0 - 2 + 4) + 0 + 2*k + 0 + 0 - k + 0 - k + 4 - 4.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -17. What is the remainder when l is divided by (10 - (-230)\/(-20))*(-14)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.8 + 0.2. Let p = -16.02 + s. Let o = -0.12 - 0.08. Which is the third biggest value? (a) 5 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 26, -5, -1 in increasing order.\nAnswer: -5, -1, 26, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - b + 1 = z, 3 = 5*z + 3*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227.506 + 227. Let w = j + 0.406. Which is the nearest to 2\/31? (a) 2 (b) 4 (c) w (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 13*w + 120 = 0. What is the remainder when 57 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-30 - (-16 - -20))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dyydddyyydydyyyyyddd.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*x + 50*x + 3. Let j(w) be the third derivative of 0*w + 0 + 1\/24*w**4 - 1\/6*w**x - 2*w**2. What is j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0 + 5\/2*m**2 + m - 1\/2*m**3. Calculate u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80471 (base 9) to base 5.\nAnswer: 3143001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75096220 divided by 18774055\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4403, -30, -5, 4.\nAnswer: -4403, -30, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1399 in decreasing order.\nAnswer: 3, -4, -1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvcccvvccccccvcvvv. What is prob of picking 2 c and 1 v?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*m + 1052*m = -859*m - 297*m + 209370 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 2 + sqrt(125)*3)**2 - (4 + ((sqrt(125) + 2)**2 - sqrt(125))) - ((6*(-4*sqrt(125) - sqrt(125)))**2 + -1 + (sqrt(125)*-1)**2).\nAnswer: -110753 + 65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252\/5 + 24*v**3 + 519\/5*v + 18\/5*v**4 + 1\/5*v**5 + 74*v**2 = 0. Calculate v.\nAnswer: -7, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**3 - 2*q**2 - 2*q - 2. Let c(y) = 2*y**3 - 5*y**2 + 6*y - 17. Let s be c(4). Let k(b) = 190*b**3 - 55*b**2 - 55*b - 55. Give s*h(f) - 2*k(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y. Let o(n) = -37*n**2. Determine o(z(u)).\nAnswer: -333*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -39*b - 11. Let n = 22 - 8. Let w be n\/84 + (-37)\/6. Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iymmytyyttyiyyiyyyt. What is prob of sequence ty?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (38 - 33) + (4 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 + 19*l**2 - 6*l**2 - 7*l**2 - 1 - 8*l**2 + 2*l - l**3 to q*l**2 + u + x*l + j*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.9 to zero decimal places.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19433532 and 10?\nAnswer: 97167660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 17*m - 19 = f, 18 = -3*m. Sort -0.7, -0.13, -7, -3\/7, f in descending order.\nAnswer: -0.13, -3\/7, -0.7, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12250501230 - -4?\nAnswer: 12250501234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuiiiuuqiuuiq. Give prob of picking 4 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.05458556243 and -3?\nAnswer: 4.05458556243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 - 22*j + 28. Let d be (-8)\/(-5) + (-24)\/(-60) - 14. Let c be x(d). Solve -4*z = -5*p + 16, -4*p + c*z = -0*p - 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 3598 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*(-20)\/(-15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 + (6 + 0 - 4)*(4 - 3 + 1) + 1 + 2 - 1)*(83 + 8*o**4 + o**2 - 83).\nAnswer: 56*o**4 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105186, -104103, -103022, -101943, -100866?\nAnswer: -99791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*r + 6 - 6.\nAnswer: -159*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4029237?\nAnswer: 3, 79, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 85*q + 68. Let j(p) = -16*p - 13. Let t(b) = -11*j(b) - 2*z(b). Calculate t(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 3. Let h be w(0). Sort h, -5, -4 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25549 (b) -3.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/966 + -3109\/9660. Let x = u - 1\/12. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12594*v**2 - v + v.\nAnswer: 12594*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4 - 6730*a**3 - 34*a**2 + 2*a - 1.\nAnswer: -48*a - 40380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 184, 169, 154, 139?\n\"Answer: -15*w + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3) - (sqrt(192) + -1))**2)*-1.\nAnswer: -148 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -175*n - 1028. Give g(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 + 8181*s**2 + 1196898*s + 2361096 = 0. Calculate s.\nAnswer: -2572, -153, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + g = -61, 0 = -4*b - 3*g + 5*g + 62. What is the derivative of b*h - 3*h**4 - 15*h - 3 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-4 - -15) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 10:49 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1149 and 270.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115631372 <= 115631372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34910726?\nAnswer: 2, 17455363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 2*r + 5 + 2*r + 3*r**2 - 7*r. Let d be s(4). Let t be (21\/(-4) - (4 - d)) + -1. Which is smaller: -10 or t?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*k = -2*k + 111, 0 = -p + 5*k - 33. Let j be (-1)\/(-2) + p\/8. Let a(d) = -3*d - 5. Let u be a(-3). Put j, 5, u in descending order.\nAnswer: 5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 118.7, -5, 3\/298?\nAnswer: 118.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(12)\/sqrt(4)*6).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 5*w - 3. Let f be y(-6). Suppose f*t - 7 = -1. Suppose -2*h = t*a - a, a - 6 = -5*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 + -136. Which is the second smallest value? (a) 3 (b) -0.09 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 16.33.\nAnswer: 32.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*f - 47 = 0, -9*b + 7*b = -4*f + 4 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29359 and 129216966.\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*x - 5 = 0, -5*d = 158*x - 153*x - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39594 - -995.65406. Round y to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -429*w - 4315 + 3442 + 131*w - 406*w - 141*w wrt w?\nAnswer: -845","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.73313 rounded to two decimal places?\nAnswer: -43.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6003135943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2\/2 + 1835*s + 773932 = 0.\nAnswer: -382, 4052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/51 and -173\/600?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9742949, 9742954, 9742963, 9742976, 9742993, 9743014?\n\"Answer: 2*v**2 - v + 9742948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by -568553?\nAnswer: -368\/568553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t - 12. Let z be b(0). Calculate the common denominator of -23\/12 and z\/126*(-186)\/8.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(171) - sqrt(171)) + (sqrt(19) - sqrt(57)\/sqrt(3)) + 2 + 3))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 13. Let v be s(15). Solve -v*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 51*y**2 - 12796*y - 347904.\nAnswer: (y - 151)*(y + 36)*(y + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10967 = 5*y + 7*q, -2196 = -y - 3*q. Let r = y + -1139. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -4 - -2) + 3\/7. Put d, 5, -5, -13 in descending order.\nAnswer: 5, d, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 1 i when three letters picked without replacement from ijbijbijjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 416857001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 658865.\nAnswer: -8565245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*c**6 + 214*c**2 + 229*c**2 - 398*c**2 wrt c.\nAnswer: -8040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34066578 and 66?\nAnswer: 374732358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(15\/(-24)) + 3492\/(-485).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 3 + 3)*(65*l + 671 - 671 + (0 + 2 - 4)*(0*l - 2*l + l)) to s*l + t*l**2 + z and give t.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 4215*d**4 + 148707*d**3 - 1172445*d**2 + 2669550*d = 0. Calculate d.\nAnswer: 0, 5, 26, 1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from epplkkxkpxkptkkeee?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.009 - 0.025. Let r = -0.038 - k. Let d = -0.00400043 - r. Round d to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -87. Let p be 45\/54*10\/h. Find g such that g**2 + 3*g + p - 1\/3*g**3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + 210\/60. Solve -6 = -2*w - r, -8 = w - v*r - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 - 10155*h**2 - 309840*h + 320000 = 0.\nAnswer: -2000, -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757 (base 14) to base 13.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 5. Let n be p(8). Which is the nearest to -3? (a) -2 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2 + 5 - 3*m + m - 4. Let z(g) = 5*g + 9. Let j(w) = 5*w + 7. Let p(f) = -3*j(f) + 2*z(f). Let q = 10 - 3. Give q*n(o) - 2*p(o).\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 930 and (24\/(-40) - (-602)\/(-30))*-30.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15131 in 0, 0.2, -4, 5\/4, -22?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3894 by 33.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:21 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1242 and 144486?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1) + 8\/(-6). Let g be 2\/8 + (-198)\/(-168) + -1. What is the second biggest value in 5, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.237931 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 14 - (-25 + (-8 - -24))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 395*p. Let i(h) = 3*h. Calculate g(i(z)).\nAnswer: 1185*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-32) + 744\/1920. Let s = 8 - 9. What is the closest to s in d, -3, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/4))**(3\/44)*((w*w**(-1\/3)*w)\/w)\/w**(-2\/13))\/((w\/w**(2\/15)*w)\/(w\/(w*w*w*w\/(w\/(w*(w**8\/w)\/w*w)))))**17 assuming w is positive.\nAnswer: w**(-6893573\/34320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -4 - 5 - -805. Calculate the greatest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i**3 + 5*i - 32. Let f be b(-5). List the prime factors of (2 + -4)*f\/(-12).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1211.81 + -1310.479. Round w to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-53)\/2)\/((55\/(-10))\/11). Suppose i = -8*h + 133. Solve h*u = 14*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 856270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -887 + 890. Let k(t) be the third derivative of 0*t**y + 0*t - 2*t**2 + 1\/24*t**4 + 0. Let z(l) = -8*l**2. Give z(k(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqmqqmqq. Give prob of sequence qm.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270377763 to the power of 1\/2, to the nearest integer?\nAnswer: 16443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**3)\/(d**(-1\/4)\/d))\/(d**4\/(d\/d**2*d)))\/((d**0)**(-44)\/(d*d\/(d\/(d*d**(1\/2)*d*d)))**(20\/7)) assuming d is positive.\nAnswer: d**(227\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 12. Let f be g(-7). Let h be 24\/f - (-155)\/(-6). Let u = h + 89\/6. Find the common denominator of u and 53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 53778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5803 and 2?\nAnswer: 11606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) -63 (b) -3 (c) 5 (d) 2\/21 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13943 = -4*d, 2*s + 52*d = 49*d + 27861. What are the prime factors of s?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-357904 + 357904 - 53*w)*(7 + 1 - 4).\nAnswer: -212*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2552)\/(-572)*(-299)\/(-23)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22020202 (base 3) to base 6.\nAnswer: -43502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*a**2 - 79*a**2 - 154*a**2 + 0*a**2 - 4*a**2 + 5*a**2 - 3*a + a**2 + 3*a + (-2*a - 2 + 2)*(-1 + 2*a + 1))*(15 - 15 - 3*a).\nAnswer: 393*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1116 - 1116.2. What is the nearest to -1 in g, -4, 14\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*b - 4*b - 2. Let z = 6 - 4. Let i = -0.8 + 1. What is the second smallest value in i, 0.03, z, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6738 divided by 933.\nAnswer: 2246\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141131132 - 100?\nAnswer: 141131032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-310)\/(-36) + (-2)\/6 and 21\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 328015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17710a + -6?\nAnswer: 177104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208.9 + -213.9. What is the third smallest value in r, -2\/17, 3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 22*o**5 + 74*o**4 + 90*o**3 + 46*o**2 + 8*o = 0.\nAnswer: -1, -4\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 8*o**2 - 2*o + 3149. Let g be p(0). Calculate the greatest common factor of 67 and g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 4. Let d be j(-4). Let g be 13\/(-24) - (-4)\/24. What is the second smallest value in -5, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 750.6506 nanometers?\nAnswer: 0.0000007506506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*(-2)\/4. Let x = 7 + -3. Let t = x + -3. Sort t, k, 0.\nAnswer: 0, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o + 20*o + 0*o = 7*o + 4944 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 455899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 9. Suppose -5*o = -h*t + 2, 2*o = 5*t - 3*t. Is -4\/25 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074344556 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - -3.91. Let n be (-8)\/(3 - 2) - -9. Let f = 15\/2 - 8. Put n, q, f in decreasing order.\nAnswer: q, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 16, 13\/5, -2\/9, -3?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/5))\/f**1)\/(f\/(f\/f**(-1))*f**(-2\/7)\/f) assuming f is positive.\nAnswer: f**(87\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8988083 nanometers?\nAnswer: 0.0008988083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 265332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 5*i**2 - i**2)*(-i**3 + 4*i**3 - 4*i**3) - 19*i**5 + 6*i**5 + 5*i**5 - 3*i**2 + 3*i**2 + i**5 - 2*i**5 - i**5 + 2*i**5.\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 350*b*g**2 - 4*b*t**2 + g**2*t - 11578*g*t**2 wrt b?\nAnswer: 350*g**2 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*k = -k + 4, -t - 20 = -5*k. Suppose 0 = -3*s - t*s + 78. Let a(n) = n**3 + 4*n**2 - 2*n - 1. Calculate the remainder when s is divided by a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182171149.\nAnswer: 182171149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2 + 3. Let y be t(3). Let s be 24\/(-9)*9\/y. Suppose 2*p - 80 = s*a + 44, 0 = -4*a + 16. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 2, v: 2, s: 1, b: 1, e: 2}. What is prob of sequence uev?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*f*l**2*m - f*l**2 + 18*f*m - f - 50*l**2*m - 2*l*m - l + 2*m + 435 wrt l.\nAnswer: 538*f*m - 2*f - 100*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 448, 432, 410?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let o(m) = -m - 1. Suppose -13 = -i - 3*i + 3*s, 2*i = 2*s + 8. Suppose 3*d - 4*d = -4*w - i, -d - w + 1 = 0. Calculate d*o(z) - 2*v(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 112?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00652 - -0.00652. Is 182 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(336\/(-160)))\/(-1 - -3). Sort 9, -1, u, 4 in decreasing order.\nAnswer: 9, 4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/141320 and -75\/1257748.\nAnswer: 12577480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 29*g - 3. Suppose 0 = -2*v - 6, y = -0*y + v + 15. Let k be d(y). What are the prime factors of 2*(-1)\/2*k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and 0.4.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*14*(15 + 1098\/(-72))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 26 = 5*a + 2*a. Suppose 9*s + 85 = 4*s. Let t be (6\/(-4) - 0)\/3. What is the second smallest value in s, t, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88518703 greater than 88518704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 5.7 (b) 5 (c) -3.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 6 - 1)*(-2*r - r + 5*r) + 2*r - 3*r + 3*r - 1456 - 33*r + 1456)*(-3 + 1 + 1) to the form s*r + q and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -1976*i**2 + 2813*i - 2516. What is the first derivative of t(n) wrt n?\nAnswer: -3952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -13 + 18 - 13 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*f + 8*f + 96, -4*f - 81 = -3*u. Suppose 24 = 2*d + 2*d. List the prime factors of (f\/8)\/(d\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -19, 0, 3, -448, -2, -3 in ascending order.\nAnswer: -448, -78, -19, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3803 - 3811 = 6*y, 0 = -3*u - 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1258992*b**2 - 691233*b wrt b.\nAnswer: 2517984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24714971783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/6*2*(135\/12)\/15. Solve -5*d = -5*y - 18 - w, 0 = 5*d + 5*y + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10443 and 12449.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23*k**3 - 14*k**2 + 210*k - 859. Give f(5).\nAnswer: 2716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494253169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89674*f = 179437*f - 89684*f - 3871 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7436938\/143 + -52008. Let h = r + 15\/11. Sort h, -0.2, -2 in descending order.\nAnswer: h, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 18 - (7 + -9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169.136 and 582715.\nAnswer: 582545.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 238 + 0 + 0\/1. Let g = o + -168. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r - 16*r - 19*r. Let m(j) be the second derivative of 11*j**3\/6 - 167*j. Determine 25*m(a) + 6*q(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x + 4 + 0 = -64*x. Let t(d) = 12*d**3 + 2*d**2 - 1. Let u be t(1). What is the greatest common divisor of u and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47636777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 + (-429)\/(-1560). What is the nearest to -2\/9 in -1\/7, 2, s, -0.06?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0.1 (b) 1 (c) -2\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222)\/64*(-234464)\/21981?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (60 + -83) - (1 + -5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/40 - v**5\/15 - 2*v**2 - 3. Let t(u) be the second derivative of z(u). Find the third derivative of t(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34d - -4821?\nAnswer: 4b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8907 times 2?\nAnswer: -7.7814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 4, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2662*g + 13. Let c be y(10). Let p = c - 6578341\/247. Let n = p + 17200\/2223. What is the common denominator of n and -62\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 8*k + 6*k - 2*k**2 + 47 - 48 in the form z*k**2 + w + v*k + q*k**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40617 by 731.\nAnswer: -40617\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-432)\/(-72))\/(((-1)\/1)\/(-36)). Calculate the highest common divisor of 81 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/8 - 0)*8. Let n = -10 - i. List the prime factors of 14 - -2 - (-2)\/n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 - 4) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 38 = 3*d. Suppose -z = 2*r, 0 = z - 2*r - 11 + 3. Let i be ((-8)\/z - -1)\/(-1). Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:44 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 8. Let r be p(-12). Suppose -q - r = -20. Which is smaller: -2\/113 or q?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/((-5565)\/(-636))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103022101 (base 5) to base 2.\nAnswer: -1101011001011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) -24 (c) -4454\/11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*b + 20, -3*b - 5*n = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 3*m + 4*h, -5*m - 16*h + 15*h - 457 = 0. Sort m, 0, 1\/2 in increasing order.\nAnswer: m, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -68, -74, -96, -140, -212?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0834 - 48642?\nAnswer: -48641.9166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 36 = 3*c. Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2217, 1, 304, 2 in decreasing order.\nAnswer: 2217, 304, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 45 - 5. Let b be (-5 + -3 - -2 - -8) + 238\/34. Solve g*r - 7*r = b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i**5 + 19*i. Let y(m) = 15*m**5 - 20*m. Let t(q) = -7*r(q) - 6*y(q). Find the second derivative of t(f) wrt f.\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158996622 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -117916.\nAnswer: -117915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2342 (base 6) in base 5?\nAnswer: -4231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117 and 0.0940395?\nAnswer: -11.0026215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 50, 83, 130, 191, 266?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + 0*t**4 - 2*t**4)*(0*t - 5*t + 2*t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1349193, 2697981, 4046769, 5395557, 6744345, 8093133?\n\"Answer: 1348788*k + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 2. Let p be (1 + (-52)\/6)*-3. Let u = p - f. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 3. Let f(a) = -4*a + 4. Let o(l) = 6*f(l) - 5*j(l). Let m be o(-6). Factor 0*s + 0 - 2*s**4 + 2\/3*s**m + 4\/3*s**2.\nAnswer: -2*s**2*(s - 1)*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*y + 2*y - 400 = 0, o = -3*y - 110. Let d = 381 - o. Suppose -467 - d = -7*n. List the prime factors of n.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 3*w - 218 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*k = -40, -4*k - 36 = -3*q - 65. Let z(m) = -9*m**2 - 67*m - 24. Determine z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/10*-35)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + 2*w**2)*(-3*w + 4*w - 2*w) + 4*w**3 - 6*w**3 - 2*w**3 + (2*w**2 + w**2 - 2*w**2)*(-12*w + 7*w + 19*w) - 3*w**3 - w**3 + 0*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2)\/(-3 + 1). Suppose -2*q + 5*q - 27 = o. Calculate the greatest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l + 69*l + 638 = -365 - 1972 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:02 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*s - 4, -13*s + 15*s - 6 = -2*o. Let b(h) = -5*h**2 + 2*h - 10. Let g(z) = -z**2 + z - 1. Let a(q) = -b(q) + 6*g(q). What is a(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 9 + 18 + -55.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 804 and 42?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -43303.\nAnswer: 2\/43303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87677 is divided by 14611.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286789?\nAnswer: 286789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*h*l**2 - 3573*h*l + 2*h - 13*l**2 + 477*l - 8 wrt h?\nAnswer: -56*l**2 - 3573*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - 3*h**5 + 2*h**5 + (-2*h**3 + 0 + 0)*(-2*h**2 - 3*h + 3*h) + 3*h**5 - 8*h**5 - 4*h**5 - 5*h**3 + 2*h**5 + 5*h**3.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from mqqmqqmmqmmqqmqq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 22. Let j = -4 - h. Let c(v) = v**2 + 3*v + 5. Calculate the smallest common multiple of j and c(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1824)\/380)\/((-2)\/(-5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 9740*u**2 + 1 - 1 + 0.\nAnswer: 9740*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -b. Let j(a) = -3*a**3 - 5*a + 5. Let r(h) = h**3 + h - 3 + h**3 + 0*h + 2*h. Determine b*j(x) + 5*r(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3624*b + 14500. Let j be l(4). Let h(y) = 21*y - 94. What is h(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11786 + 3072411\nAnswer: 3072411.11786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1382*u - 2767*u + 1385*u + 601*u**2 to the form f + b*u**2 + p*u and give b.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/83276 and 79\/32.\nAnswer: 666208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13135 (base 8) to base 13\nAnswer: -27b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x - 1. Suppose -17 - 8 = -5*j. Let z(a) = 2*a - 5. Let h be z(j). Let d(n) = n + 1. Calculate h*d(s) + 5*o(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4\/5*b**4 + 0 - 112\/5*b + 128\/5*b**2 - 44\/5*b**3 = 0?\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/5 - 2*s**3\/3 - s. Factor d(b).\nAnswer: 4*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -613*z + 151408. Calculate a(247).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5359*c + 519833. What is s(-97)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*w + 5242 + 5876, -4*z + 8907 = -w. List the prime factors of z.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a75 - 2a726?\nAnswer: -3459b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 + 6*a - 11. Let q be b(-4). Let t = -13 - q. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(245) + sqrt(180) + 1 + sqrt(180))*-1.\nAnswer: 4 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 0.1, 5, 0.62, 6.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 + 30*a\/11 - 28\/11.\nAnswer: -2*(a - 14)*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5157377040 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(35)\/(sqrt(605)*1))*-3.\nAnswer: -18 + 9*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 707*b + 10. Let x(p) = -708*p - 8. Calculate 5*r(v) + 6*x(v).\nAnswer: -713*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -10*d**2\/3 + 79716776*d\/3 + 10628904 = 0?\nAnswer: -2\/5, 7971678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -3\/2, 1\/20088?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4360 times 0.3\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwfw. Give prob of picking 1 w and 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -46*p - 1274. What is the smallest common multiple of h(-29) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**3\/3 - 9*f**2 + 8*f + 256. What is i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 4, -2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/89782 and -157\/307824.\nAnswer: 2154768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*j**2 + 0)*(20 - 14 + j + 14) to the form m + l*j**2 + n*j**3 + i*j and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (13 + -16 - (-4 + -1 + (1 - -5))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -112779465 divided by -445\nAnswer: 253437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1 + 0 + 2 + 6*b. Let x(z) = 186220 + 4*z**2 - 372447 - 2*z**2 + 186227. Give f(x(c)).\nAnswer: 12*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1904)\/3570*760\/(-342)*(-3)\/(-48)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 10. Suppose b = -9 + u. Let r(h) = 4*h**2 - 3*h**b + 6 - h**3 + 3. Calculate r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let x be y(2). Solve -x*k + 1 = v, 3*v + 6*k - k - 4 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 564 and 72756?\nAnswer: 72756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) -0.4 (c) 10710 (d) -0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 462*m**3 = 0. What is m?\nAnswer: -462, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 8424.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 362 + 3?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -132*l + 55\/36*l**4 + 5*l**3 + 0*l**2 + 0 + 1\/12*l**5. Factor p(z).\nAnswer: 5*z*(z + 2)*(z + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2740251 to the nearest one thousand.\nAnswer: -2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-18))\/((-5)\/(315\/(-12))). Let m(h) = -h**3 + 8*h**2 - 9*h + 10. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:59 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 1431 + 1419 = -6*n, -30 = 2*n + 5*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 470086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 31070*f. Let v(n) = -87*n. Calculate w(v(b)).\nAnswer: -2703090*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y - 29. List the prime factors of w(-14).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1. Suppose 2*y + 2 = -2. Let r(a) = a**3 + a**2 - 5*a - 4. Let h be r(y). Let p(u) = 5*u - 12. Let d(o) = h*x(o) + p(o). Differentiate d(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhjhhhhuhhhlj?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 13 + 2. Let o(z) = -z + 4. Let g(m) be the first derivative of m + 31. Determine d*g(q) + o(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + 5*p**2 + 1 + p + 397*p**3 + 365*p**3 - 758*p**3 as x*p + s*p**3 + h*p**4 + c + k*p**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s + 1. Let d(m) = 4*m**2 - m - 3. Let l(z) = -d(z) - 5*x(z). Calculate l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 + 2*p - 8. Let t(s) = 9*s**2 - 4*s + 15. Let o(b) = -11*m(b) - 6*t(b). Let f be o(1). Suppose 5*u - g + f = -9, 5*g - 29 = 4*u. Is 1\/9 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -23 (c) -163\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 663?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from suumusuumusmsuuzusuu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/464 and 89\/290.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + (-3 - -4) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 250 + 2?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 2*h + 0*h + 4*h - 4*h + h + (3*h + 2*h - 3*h)*(3 - 3 - 2) + (5 - h - 5)*(4 - 5 - 1).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6*(-6)\/4. Let y = w + -2. Solve 3*d = 3*p + 24, y = 2*p + p + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**3 + 2. Suppose 5*v + 21 = 4*v - 2*a, 4*v = 4*a - 24. Let o(y) = -3 + 6 + 7 + 5646*y - 5646*y - 36*y**3. Calculate v*j(b) + 2*o(b).\nAnswer: 5*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672 = -140*u + 198 + 110 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -204 + -2677?\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 2*h + 84. Suppose -36 + 28 = -4*v. Let d = v + 6. Calculate the remainder when h is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away 0.7?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/2*s**4 - s**3 + s**2 + s + 0 - 1\/10*s**5. Solve l(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25897.57 days in microseconds?\nAnswer: 2237550048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48307, -193133, -434499, -772399, -1206827, -1737777, -2365243, -3089219?\n\"Answer: g**3 - 48276*g**2 - 5*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 296 = -3*b + 19, 3*g - 480 = 3*b. What are the prime factors of g?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5772, 5777, 5784, 5793?\n\"Answer: v**2 + 2*v + 5769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 31 = -5*y, 0*l + 3*l = -y + 23. Let z(m) = l*m - 4 + 5 - 8*m. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = 33. Let p(b) = 5*b + 3. Is p(u) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 991\/4407 - -2\/339. Which is the fourth smallest value? (a) n (b) 2\/5 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 7. Let s = -7 - -2. Let j(h) be the second derivative of 3*h - 1\/6*h**3 + 0 + 1\/2*h**2. Give s*j(v) + q(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 8*h**2 - 8*h + 4. Let c be t(9). Suppose 0 = -3*f + 63 - 24. Calculate the highest common divisor of c and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, -182, -847, -2142, -4277, -7462, -11907?\nAnswer: -17822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -82. Suppose 4*l = 2*a + 4, 4*a - 8*l = -6*l + y. Let m(h) = h**2 - 3*h - 8. Calculate the lowest common multiple of a and m(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -630.8826 - 0.3174. Let z = 632 + k. Which is the second biggest value? (a) z (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-9)*x))\/(x**(-1\/33)\/x*x*x))**(-2\/39))**(-1\/55) assuming x is positive.\nAnswer: x**(106\/14157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/16 + 651365\/520 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52925.62ml?\nAnswer: 52.92562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 18*d + 7. Let r(w) = 6 - 16*w - 1063*w**2 - 12*w + 1065*w**2 + 11*w. What is -6*q(y) + 7*r(y)?\nAnswer: 2*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13708 by -4.\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 9*j**2 + 14*j - 15. Calculate w(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225158 is divided by 2962.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, u: 2, j: 3, o: 2, d: 7, e: 1}. Give prob of sequence pjpd.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0 + 1\/2*m**2 + 8*m - 1\/20*m**5 + 0*m**3 + m**4. Let b be u(12). Put -2, b, -1 in increasing order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 + 139*h**4 + 326581*h**3 + 67605965*h**2 + 2599754400*h + 27958972500 = 0. What is h?\nAnswer: -270, -23, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26839 - 2?\nAnswer: 26837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooobbooooob. What is prob of picking 1 o and 3 b?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 97 = -4*z, -2*z - 20 = -2*r + 20. Let y = r + -18. Let x = -9 - -9.3. What is the nearest to x in -4, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59609591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 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 -4*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = 4*j, j + 2 = -8*k + 9*k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 675 + -110. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4 - 1337586*i**3 + 12038166*i**2 - 36114390*i + 36114336 = 0. Calculate i.\nAnswer: 3, 668784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 1.36. Let z = t - 0.94. Which is smaller: z or 0.17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77\/678 - -6\/113. Which is the closest to -1\/2? (a) 2\/19 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725200.\nAnswer: 2, 5, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1120000?\nAnswer: 1112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89181862 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8314039.\nAnswer: 19, 29, 79, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 465, 0, 4, 152, -1\/3, 28?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458275117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16641852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/22974 and -43\/6.\nAnswer: 22974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*u**6 + 70*u**3 - 24*u**2 - 70*u**3 wrt u.\nAnswer: 1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/3)\/g))\/(g*g**(-5\/2)*g))\/((g\/(g\/(g*g\/(g**(-1\/16)*g))))\/((g*g**0*g)\/g)) assuming g is positive.\nAnswer: g**(85\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 202. Calculate the remainder when f is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 26. Let u = 16 - -15. Let t = v - u. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**2 + 5*l + 4*l - 7*l)*(-1 + 3 - 3).\nAnswer: 12*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 greater than 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**2 + 2649*w - 547. Determine c(189).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)*((-3)\/1 + 6). Suppose 1195 = j*m + 265. Is m a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-323)\/7 - -2 - (4692\/(-161) - -30). Put -2\/11, m, 1, -0.08, -0.4 in descending order.\nAnswer: 1, -0.08, -2\/11, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/((16\/(-20))\/(6\/5)). Suppose -w + 0*w = 0. Suppose w = -5*s + o + o + 42, o = -3*s + 23. Calculate the greatest common factor of x and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 13 + (-9 + 1 - -20 - 14) + -115?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44aa2 (base 12) in base 10?\nAnswer: 91418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.72829 + 2672?\nAnswer: 2637.27171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300387 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 246138*i\/5 - 492288\/5.\nAnswer: 3*(i - 82048)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, 8*u - 3*u - 3*i = 25. Let l be (1 - (2 + -2))*-4. Put u, l, 0 in increasing order.\nAnswer: l, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1572 in 61, 3, -1\/4, 1, 4, 10?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -4, 1.\nAnswer: -5, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124445100.\nAnswer: 2, 3, 5, 13, 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 14) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -316384 + 766?\nAnswer: -315618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 140*i = 0. What is i?\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1790532, -3581120, -5371708, -7162296?\n\"Answer: -1790588*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 3*f + 18. Let c be y(6). Solve 3*n - 11 = 5*j, -n = 4*j - c*j + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 6. Let t be n(11). Suppose 4 = -y + t. Suppose p + 5 = 2*p + 3*v, -5*p + y = 2*v. What is the least common multiple of 202 and p?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 1, m: 1, t: 1, l: 1, b: 2}. Give prob of picking 1 t, 1 h, and 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*f + 270846 - 271968 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13838.236 + -0.5\nAnswer: -13838.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 - 183. Let f be 2 + y\/(-50) + 3\/(-2). Factor -1\/5 - f*o - 3\/5*o**2 - 1\/5*o**3.\nAnswer: -(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15256 and -0.2.\nAnswer: 3051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3240 and 1485.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let m(n) = -406*n**2 + 17*n + 17. Let z(v) = -135*v**2 + 6*v + 6. Let g(u) = -6*m(u) + 17*z(u). Calculate g(h(r)).\nAnswer: 141*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**3*o**3 + 71*n**3*o - 307*n**3 + 25*n**2*o**3 + 8*n**2*o**2 - 31*o**3 wrt n.\nAnswer: -18*o**3 + 426*o - 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375\/150*((-2)\/5)\/((-33)\/55)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -4. What is the common denominator of ((-204)\/21)\/(l\/(-2)) and 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408781620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrpbbbaeebrbbeeb. Give prob of sequence er.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/((-28)\/(-252)*33).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-6))\/(-5) + 1884\/(-2826) + (-78)\/(-44)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 46*l**2 - 878*l + 2. What is the remainder when s(-14) is divided by 162?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 147.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, -25, -0.4, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Suppose -c - 2 = -b*u, 0 = -3*u + 4*u. List the prime factors of 16\/9 + c\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4697, 18796, 42297, 75200, 117505, 169212, 230321?\n\"Answer: 4701*u**2 - 4*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*p**2 - 107*i*p + 3*i - 55203481*p**2 - 6987*p + 3 wrt p.\nAnswer: -6*i - 110406962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 299130, 299128, 299126, 299124, 299122?\n\"Answer: -2*k + 299132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*s = 3 - 4, 5*z - s = 21. Suppose -z*g - 4*w = -w - 1081, 5*g + 2*w - 1079 = 0. Let h = g + -146. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 1. Let s be ((-234)\/(-12))\/13*2\/3. What is the second biggest value in -5, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717*u - 710*u + 2147*u - 710*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 43523.3 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0*o**7 + 0*o**2 + 0*o**6 + 0 + 1\/3*o**4 + 1\/4*o**8 + 7*o + 0*o**5 + 0*o**3. Find the third derivative of x(c) wrt c.\nAnswer: 1680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-115275)\/(-580)*(-4)\/(-3). Let d(n) = n + 12. Let u be d(-9). What are the prime factors of (u - 12\/3) + x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*x = 104*x + 15, 2*s - 7031 = -3*x. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**4 - 5*r**3 - 23*r**2 + 5. Let b(s) = -s**4 - 2*s**3 - 12*s**2 + 2. Let j(u) = -5*b(u) + 2*m(u). What is the third derivative of j(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3\/4 - 185*i**2\/4 + 185*i + 3045 = 0.\nAnswer: -6, 14, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8708*j + 1662*j - 23 + 61 - 38.\nAnswer: -7046*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -642*y - 1199 - 32 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158188079 plus -5?\nAnswer: 158188074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**4\/4 - 16*m**3\/3 - 5*m**2 + 16*m + 30. List the prime factors of u(17).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:15 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/4 - 2\/(-4). Let w = -14 - s. Suppose w*d + d + 4*n = 64, 3*d - n - 44 = 0. Solve -2*x = 0, 0*f + 3*x - d = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v - 2*v. Solve -q + 4*q - 9 = 3*t, -3*q = v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:17 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from {v: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, 4.69, -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50519332 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/36)\/((-38)\/(-12) + (-35)\/14). Factor -8\/3*j + k + 5\/3*j**2 - 1\/3*j**3.\nAnswer: -(j - 2)**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004946079 to six dps.\nAnswer: 0.000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 + 6*k**4 - 2*k**3 - 6*k**2.\nAnswer: 2*k**2*(k - 1)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*s - i, s - 2*i = i - 11. Let y = 311 + -167. Let w = 144.4 - y. Which is the third biggest value? (a) 3 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.19. Let k be 4\/3*(-2)\/(-16). Which is the nearest to 0.1? (a) k (b) -3\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 287*t. Let a(l) = 3*l. What is s(a(i))?\nAnswer: 861*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)*k*k*k*k**(-5\/8)*k assuming k is positive.\nAnswer: k**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747140721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycxxexecxce. What is prob of sequence ec?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3614.745 + -58.\nAnswer: -3672.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and 16\/28 + (-1)\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/147*9*(-63)\/54?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 23 (c) 0.03 (d) 1 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-151)\/(-5))\/((-18)\/15) and (-5 + 6)*3 - 4 - 37\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -31\/2, 0.1, 16\/11, -3\/26, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -185 - 109. Let n be (0 + -1)\/(1463\/k - 5). Find the second derivative of 26*h - 11*h**2 + n*h**2 - 20*h**2 wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019022614 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9813096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213302241 (base 5) to base 9.\nAnswer: -5352556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 7*v + 5. Let b be s(6). Let n be (-2 + -9 - 3) + b. Let z be ((-48)\/n)\/((-10)\/(-25)). Is z greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18052619, -18052628, -18052637, -18052646, -18052655, -18052664?\n\"Answer: -9*j - 18052610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.873 + 0.973. What is the third smallest value in 0.81, l, 0?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301215?\nAnswer: 3, 5, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.46 + 0.06. Let d = 2 + v. Let w = 2.5 - 2. What is the closest to -2\/9 in d, w, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 973 - 721. Is 126 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from ghghgg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60779164*l**3 + 70127488*l wrt l.\nAnswer: 364674984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 74217 + 172260 = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, -347284, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2035\/8 - 2421\/8. Let c = f - -101\/2. What is y in 16*y**2 + c - 12*y = 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Let z = -2 + i. Suppose -3*j - j + 14 = 5*m, j - 5 = -2*m. Solve -d = -l + 2 + j, -5*l - 1 = z*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1046*v - 21. Is c(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 times -11?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/360770 - -3300143563\/1443080. Let q = 2258 - p. Does q = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2060*0.5\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-3)\/4*16*(-5)\/180. Which is the nearest to 2\/7? (a) 0.5 (b) 4\/25 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, -175, -7176, -1 in decreasing order.\nAnswer: 237, -1, -175, -7176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35423*v - 880*v**2 - 35423*v.\nAnswer: -880*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 3*a - 206. Let h be k(-16). Suppose 2\/11*x**3 - 6\/11*x**h - 2\/11 + 6\/11*x = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3890 = -j, 17*j - 11664 = 14*j - y. Suppose 3*x - j = 5440. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013312 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from fhfhghhhgghhghhghhh.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(72\/10)\/3. Suppose -4*o + 6 = 3*u, 46*o - 10 = -5*u + 48*o. Factor -12\/5*a + 3\/5*a**u + j.\nAnswer: 3*(a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -53 - 45. Calculate the least common multiple of v and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9008 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mhkjfmjsh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 2 + 2 + -2 + 6*(0 + sqrt(147))*-4)**2.\nAnswer: -644*sqrt(3) + 77767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.675 + 0.425. Let j = d + -20. Which is the smallest value? (a) j (b) 2\/21 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 66*r - 9527. Calculate o(146).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506.3 + -516. Let t = -4.7 - i. Let o = 1139\/7 + -163. Which is the closest to o? (a) 4 (b) t (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37130 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*z**4 + 495*z**3 + 48280*z**2 wrt z.\nAnswer: -624*z + 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1449, -1, -5.3 in decreasing order.\nAnswer: -2\/1449, -1, -5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21031*a**2*n**3 + 1215*a - n**3 wrt a.\nAnswer: -42062*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2697 + 2697 - 54*c)*(-13*c - 3*c - 6*c) as u*c + h + m*c**2 and give m.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -35. Let r(z) = -2*z + 9 + z - z**3 - d + 3*z**2. Let l be 6\/(-9) + (-32)\/(-12). Determine r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 31073.66 nanometers?\nAnswer: 0.00000003107366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -882, -1544, -2208, -2874?\nAnswer: -3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/15)\/(((-322)\/(-12397))\/(1\/(14\/6)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 + 114.00000158. What is d rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*n**2 + 756*l**3*n - 5*l**3 + 4235*l**2 - 2*l*n - l - n**2 wrt l?\nAnswer: -12*n**2 + 4536*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.4, 31, -0.2 in ascending order.\nAnswer: -4\/3, -0.2, 0.4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 16*f. Solve 3*a + 12 = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96562, 96462, 96362, 96262, 96162?\nAnswer: 96062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/28 + -18\/7. Suppose -4*z + 3 = -3*z. Let a be (-6 - -2)*z\/(-28). What is the third biggest value in v, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-11 - -2) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*((-3)\/12)\/(3\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72792 and 4484796?\nAnswer: 80726328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbf when three letters picked without replacement from fefbf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(12\/14 + -1). Let g = 3 + 6. Let w = z + g. Solve 0 = -4*f + 5*y + 18, f + 3*y - w*y = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 2)*(4*j + j**5 - 4*j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1468)\/(-120) - 14\/2 and 115\/162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 - -3 - (1 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(60))\/sqrt(2) + sqrt(30))*3)\/((sqrt(640)*1 + sqrt(640))*-6 - sqrt(640)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.4 + 7.4. Which is the biggest value? (a) 2\/5 (b) -3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*z - 20, x + 29 = 5*z + 3*x. Suppose z = 2*d - d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 + 513394*l + 65893349809 = 0.\nAnswer: -256697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24539780 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 12, m: 4, t: 2, w: 2}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452399 = -1314*r + 638*r + 6723*r + 279288 for r.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/69 and 13\/85436812.\nAnswer: 256310436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -228200 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 + 17*d - 42. Let a(c) = 7*c**2 + 14*c - 35. Let i(t) = -6*a(t) + 5*l(t). Let o(u) = 0*u - u + 3*u. Calculate i(o(f)).\nAnswer: 12*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 4*p - 11. Let g(l) = -2*l**2 + 4*l - 10. Let c(x) = 4*g(x) - 3*m(x). Let u be c(2). Put -21, u, -3 in increasing order.\nAnswer: -21, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/32)*z)\/z)\/(z*z*z*z**39\/z)*(z\/(z**(-30)\/z))\/z**(-13) assuming z is positive.\nAnswer: z**(161\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 78 + 111 + 2*o + o**3 + 0*o**3 + 2*o**4 as g*o**4 + q*o**2 + z*o + w*o**3 + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1090 + -3266. Let h = i - -3895. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*o + 5, 5 = -3*o + 7*c - 3*c. Suppose -5*k + 6 - 1 = 0. Suppose 6*s + o = -k. What is the second smallest value in 5, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28711 divided by -1.\nAnswer: 28711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 896*a - 5049. Give n(6).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from nmnmmm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -767.2 + 767.170586. Round n to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -1, 16, 39, 68?\n\"Answer: 3*l**2 + 2*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*96\/320*10\/(-24)*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1694)\/(-16940)*(-580)\/2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57144 divided by 24?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -j + 51 + 298, -3*j - 6 = 0. Suppose 2*h - 10 = -i + x, 4*i - 3*h = 508. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*23\/(-161)*7 - 37\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/1456*-26*7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxaaaxfxxxanff. What is prob of sequence xa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-25)\/(-5700)). Calculate the common denominator of 21\/(-6)*(-12)\/(-77) and (-294)\/(-95) - (56\/y)\/(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*d + 392*d - 193*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360197, -360198, -360199?\nAnswer: -360200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(0 - ((2 - 2) + -3)). What is the second derivative of -j*u - 5*u**3 + 15*u**3 + 5*u**3 - 7*u wrt u?\nAnswer: 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-820)\/(-8364))\/((25\/6)\/5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -431*a**3 - a**2 - 570*a wrt a?\nAnswer: -2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/90*(-4)\/75.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 7, h: 1, d: 4}. What is prob of picking 1 s and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -505*l - 84*l - 75*l + 667*l**2 wrt l.\nAnswer: 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 4*c**2 - 4*c. Let p be k(4). Let f be ((-8)\/(-10))\/(p\/(-40)). Solve 2*d + f*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11 = 114. Suppose -4*b = -29 + a. Is 489\/1 - (b - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/9 - (4 + 12155\/2574).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 3 = 0, -4*f = -5*g - 881. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9066, -38006, -86242, -153774?\nAnswer: -240602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 234*d\/5 - 19836\/5.\nAnswer: 2*(d - 57)*(d + 174)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4280 or 35238?\nAnswer: -4280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(320) + 2)*1)**2.\nAnswer: 2304*sqrt(5) + 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 14 = -2*z, -2*z = 4*x - 21149 + 21169 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71 times -0.1?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 - -24.2. Let v = 10 + 12. Let s = u - v. What is the nearest to s in -2, -0.5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66429.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 - 732*u - 6372. Determine o(-9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*s + 9*s - 27, -13362*s + 13364*s - 3*n + 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 12. Let f be b(9). Solve f*j = 3 - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iivt when four letters picked without replacement from yiicxtcxvtvttc?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 s when three letters picked without replacement from nrrrrslrrtntnls?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -2353748\nAnswer: 282449.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 p when three letters picked without replacement from {d: 2, a: 3, m: 4, b: 2, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212064715 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000355545 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -93*f**2. Let n(p) = 28*p**2 - 5*p + 5. Let l(b) = -21*b**2 + 4*b - 4. Let x(g) = -5*l(g) - 4*n(g). Give x(t(k)).\nAnswer: -60543*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 7 + 8 + 5*p - 6 + 3*p**2. What is m(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -382.2 and 8.\nAnswer: -374.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 + 4 + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8109 is divided by 165.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7874 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 10\/(-15) - (-3)\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 - 3369*v**3 - 1118628*v**2 - 91878000*v + 93000000 = 0. What is v?\nAnswer: -500, -124, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(539\/(-22))*1)\/((-2)\/(-42))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - 4*k**2 + 2*k. What is z(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 8. Let l be r(6). Suppose l*j - 15 = -55. Let t = 20 + j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, 47, 5, 2, 9, -1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5696*g**2*n**3*r - 2*g**2*n**2 - 11*g**2*n - n**3*r + 227*n**2*r wrt n.\nAnswer: -34176*g**2*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 4*f - 2. Let b be 4\/(-2) - 0 - 3. Let z be y(b). Suppose 4*r + z = 7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 21232470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 601488462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:45 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338 and 3614.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 6*w - 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -609.9 - -624. Is -2\/5 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1472\/13 - 52999\/468. Calculate the common denominator of y and -89\/182.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4, -3*a + 12 + 5 = -5*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w**5 - 115395*w**4 - 153908*w**3 + 410288*w**2 + 615488*w + 205168 = 0.\nAnswer: -2, -2\/3, 2, 12823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1957 and 1961 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, c: 11, y: 1, p: 3}. What is prob of picking 1 p and 1 c?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:29 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 6.6. Let f = -160\/639 - -2\/71. Which is the nearest to f? (a) 5 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21216150 and -0.56.\nAnswer: 11881044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*b + 33 = -34*v - 380*b, -1 = -3*v + 4*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*n - 1812 - 6588 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 179461.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.8. Let z(x) = 7*x**3 - 804*x**2 - 146*x + 3565. Let n be z(115). Let p = 0.06 - 3.06. What is the second smallest value in n, c, p, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243972001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(7\/6)\/c)\/c)\/(c\/(c\/c**(-1\/4))))\/(c**(-2\/23)*c\/c**5) assuming c is positive.\nAnswer: c**(1243\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -28. Sort -0.1, -1, k in increasing order.\nAnswer: k, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 15, -11*k - 4*z + 18913 = -8*k. What are the prime factors of k?\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9031*o + 9033*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49897?\nAnswer: 41, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 43. Let v = 266 + -261. Solve 0*w + 4*w - r = 2*c, 4*w - v*c = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {g: 2, y: 5, w: 4, n: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 6*p - 2*p. Solve 4*q + 4 = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20323240 - -10?\nAnswer: 20323300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrw. Give prob of sequence rw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40367 - -2?\nAnswer: 40369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3 - 441*x**2 - 295*x**2 + 6207*x - 5036*x wrt x?\nAnswer: -6*x - 1472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)*v)**(-45)\/(v\/v**3*v\/(v*v\/(v*v**8))) assuming v is positive.\nAnswer: v**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 2*g - 1. Let t be a(1). Suppose 0*f = -t*f + i + 28, -3*i - 34 = -4*f. Solve -f = -5*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 686 and 124754?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3595, 1, -1946 in increasing order.\nAnswer: -3595, -1946, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16176)\/(-18))\/((-1502)\/1500 + 1). Round p to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 - 2*b**5 + 0*b**5)*(828 - 1060 + 2346 + 1816).\nAnswer: -3930*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 33. Let v be p\/(-3)*(-11 + 17). Suppose 5 - 25 = -v*j. Solve -4*c + j*s = 0, 0 = 5*c + 4*s + 41 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l - 147. Calculate the remainder when 75 is divided by x(-21).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Let r be -66*(-2)\/(u\/(-2)). Let b be -2 + 68*(-2)\/r. Is 1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14219 and 1239?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12546 and 61\/4059.\nAnswer: 138006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*t - 2, -3*h - 56*t + 26 = -54*t. Solve -h = -3*b, 5*d + 4*b - 8 = 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {a: 2, p: 1, v: 2, w: 1, g: 1, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 317411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -50*c - 1572. Let z(d) = 13*d + 385. Calculate 2*p(s) + 9*z(s).\nAnswer: 17*s + 321","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - r - 3. Suppose -4 = -4*l - 12. Let q(z) = z**2 + z + 2. Let h(i) = l*n(i) - 3*q(i). Give h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c)\/(c*c**16) assuming c is positive.\nAnswer: c**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-14))\/((-1701)\/1323)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 353887 - 2?\nAnswer: 353885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 830 - 2f75?\nAnswer: -2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/(sqrt(10) - 6*-1*sqrt(10)))**2 + -5 + 5 + (1 + sqrt(300))**2 + 0.\nAnswer: 20*sqrt(3) + 14797\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13 = 4*b, -3*x - 6*b = -4*b - 21. Suppose 2*m = m - 6. Let s = 1 - m. What is the remainder when s is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 408 = 378. Let t(l) be the first derivative of -2*l**r - 11 - l - 1\/3*l**3. Calculate t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t - 14. Calculate the remainder when i(11) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 5*n + 6. Let q(v) be the second derivative of 7\/135*v**n - 1\/18*v**5 - 1\/27*v**4 + 0*v**2 + 0 - 2*v + 0*v**3. Let q(s) = 0. Calculate s.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 11*b - 4. What is a(-5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l + 24 = 0. Let r = 12 + l. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6262 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305040 divided by 3.\nAnswer: -101680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p + 15. Let z = 5 - p. Suppose -z*c = -2*t + 308, -t + 2*c = -34 - 121. Calculate the greatest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 7*d + 6. Let g be w(4). Suppose 0 = -9*n + 10*n + 3*h + 27, -3*n = -g*h + 26. Let o(b) = -b - 7. Calculate o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfky when four letters picked without replacement from kpafkkkfykyk?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + b**2 + 210. What are the prime factors of i(0)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1073574 and 636?\nAnswer: 113798844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, 349067 in decreasing order.\nAnswer: 349067, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**7\/105 + o**5\/30 + o**2 + 5*o. Let s(c) be the first derivative of h(c). What is the third derivative of s(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 6\/7, -169, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1716)\/285 + 6)*-5. Which is the fourth biggest value? (a) -2 (b) 1.3 (c) 2\/9 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*b + 69*b + 5*b + (-3 - 1 + 5)*(2*b + b - b).\nAnswer: 108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 13*a**3\/6 - 50*a**2 + 98*a. Is b(28) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22333824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034435 + 1034435 - 33*i + 224*i**2 - 225*i**2.\nAnswer: -i**2 - 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 - -261. Let s be (7\/21)\/((-1)\/67). Let z = 23 + s. What is the closest to 1\/4 in z, -0.3, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 20*x**3 - 10*x**2 + 22*x - 175. Is t(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.2, -0.16, 3, -958?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 0, -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - n + 4 = 4*n, 2*s + 2*n = 4. Let v(m) = 4*m - 5 + 2 + 2*m. What is the units digit of v(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, b: 1, a: 3, w: 4, x: 1, p: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.936? (a) -5\/3 (b) 1.2 (c) -4 (d) -772\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3381053*220\nAnswer: 743831660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:59 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/2024*-22)\/(9*1\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, i: 8, r: 1, m: 2}. Give prob of sequence nrmi.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 2*b, -2*b = -2*s + 18 - 16. Let a(i) = -4*i**2 + 3*i**2 - 2*i + 3*i**2 - 2*i**3 + 1. What is a(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -868162169 - 0.08?\nAnswer: -868162169.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462974, -1851886, -4166738, -7407530, -11574262, -16666934?\nAnswer: -22685546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -0.243 in increasing order.\nAnswer: -5, -0.243, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - 0)*(-5)\/10. Suppose c*a - f = 547337, -f = 2*a + 3*f - 218926. Let t = -290533 - a. What is t rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 1204, 3204, 6130, 9976, 14736?\nAnswer: 20404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l + 3. Let m be c(0). Suppose -5*z - m*n + 1075 = 2*n, 4*z + 5*n - 857 = 0. Suppose 0 = -z*k + 220*k - 330. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*4*(-4 + -1*4*-2*sqrt(2299)))**2.\nAnswer: -405504*sqrt(19) + 84759554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328380 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-7) - (1 - 0). Suppose 2*c - 3*p + 2 = 21, 0 = q*c + 4*p + 16. Solve 2*w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*l + 89*l - 2 + 160*l + 0 to o + y*l and give y.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z. Let l be 1*(6 + (z - 3)). Solve -b - 8 = 3*p, b = -l*p - 2*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*o - 12. Let q = 195154\/13 - 15001. Let b = q + o. What is the third smallest value in 0.4, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 + 361.899. Round a to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 3*w**2 + 6*w - 6. Let s = -4 - -11. Let y = s + -12. Is d(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 16 + (-4 - (2 - (3 - 6) - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v + 17. Give a(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, -4, -315, 2 in descending order.\nAnswer: 2, 1, 0, -3, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15768*f**2 + 12*f**4 - 15771*f**2 - f + 2*f - 3*f**3 as s*f**4 + m*f**3 + a*f**2 + t*f + v and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 5768*w + 11866*w - 6098*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*p + 28, 2 - 3 = -o + 5*p. Let q = o + -12. Solve -4*n + 24 = -s - 9*n, -q*s = 2*n + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136941067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n - 40*n = -14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24332 + 121232\/5. Let h = 221\/10 + w. Is -64 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 - 8*a**3\/5 + 32*a\/5 + 32\/5.\nAnswer: -2*(a - 2)*(a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + sqrt(152)*3*-6 - sqrt(152)) + sqrt(152) + sqrt(152))*2)\/(sqrt(32)\/(sqrt(4) - (sqrt(4) - (sqrt(4) + (sqrt(576) - 2*sqrt(576)))))).\nAnswer: 352*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - ((-8)\/(-12) + 5\/(-3)). Let o(q) = -3*q. Calculate o(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 7:58 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857 is divided by 317?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946 a factor of 100733029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*y**2 - 10*y**2 + y**6 - 4*y**6 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 2850 + 2850 + 31*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 5*j**2 - 50*j + 74. Let r be h(6). Calculate the highest common divisor of r and 846.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 209 - 1493 = -97*j. Let u(d) be the second derivative of -j*d + 0 + 11\/12*d**3 + 1\/8*d**4 - d**2. Find p, given that u(p) = 0.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3216b (base 12) in base 6?\nAnswer: -1225015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**2 - 2*d - 7. Let t(l) = 4 + 3*l - 10*l + 0. Suppose 0 = -6*i + 7 - 37. Determine i*z(p) - 3*t(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1, -0.1, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*z = 1274*z + 504 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.08416ng to grams.\nAnswer: 0.00000004108416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzfz when four letters picked without replacement from zvufzhu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.723516 millilitres in litres?\nAnswer: 0.009723516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -287*h**2 - 1467*h + 4. Calculate the lowest common multiple of 152 and k(-4).\nAnswer: 24320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 952093900 to the nearest one hundred thousand.\nAnswer: 952100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, x: 1, n: 6, y: 5}. What is prob of picking 2 n?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11004204004 (base 5) to base 16\nAnswer: b3dee4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 340123 (base 5) in base 2?\nAnswer: 10111010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**3 + f**2 + f - 1. Let b be p(1). List the prime factors of (10\/(-6))\/(2\/b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 + 0)*(2*s**3 + 4*s**3 - 3*s**3) + (-1 + 4 - 2)*(-2*s**3 + 4*s**3 + 8*s**3) to the form a*s**3 + r*s**2 + v*s + j and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84147589 and 11624.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/9))**27*f**(-2\/21)*(f\/f**(2\/5))\/f)\/((f*(f**(-1)\/f)\/f)\/f**(-7\/2))**3 assuming f is positive.\nAnswer: f**(3361\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -5, -2\/3 in decreasing order.\nAnswer: -0.1, -2\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21138 and 13.\nAnswer: 21138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97249.\nAnswer: 79, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(1980\/(-11))*(4 + -5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/5))\/a**8*(a*a*a\/((a*a**(-3\/7)*a)\/a))**(10\/3) assuming a is positive.\nAnswer: a**(52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 1.9. Suppose -f + 6*f + 1 = 2*m, -m = 3*f + 5. Let t be (-5 + 3)*m\/(-20). Is i at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16919, -16913, -16897, -16871, -16835, -16789?\n\"Answer: 5*a**2 - 9*a - 16915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*q - 4 = -3*l, 4*q = l - 2. Suppose 4*g - 106 = 3*b, 3*b + 37 = l*g - 13. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16225.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4201.\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4\/3, 40\/3, 8\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.57, 0.43, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:15 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2 - 3*g + 3. Let k be i(2). Which is bigger: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Suppose -w*t + 4*g + 8 = 0, -3*g - 6 = -0*t - t. Solve -3*k - 18 = 2*u, 3*k + t = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1161.6 - -1161. Suppose 3*c - h = -5, -3*c = -2*h - 2 + 9. Let z be (-35)\/20 + 0 - c. Sort v, z, 1\/2, 5 in increasing order.\nAnswer: z, v, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/84*v**8 + 0*v**4 + 0*v**5 + 0*v**3 + 0 + 8\/35*v**7 + 12*v**2 + 0*v**6 - 5*v. Solve i(r) = 0 for r.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3384\/462 - 7 - 28\/154.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5362802 millennia in centuries?\nAnswer: 5.362802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 1050, 1576, 2102, 2628?\nAnswer: 3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -8*n + 5*n. Suppose -n*s + 59*s = -23. Suppose 0 = s*r - 28*r + 141000. What is r rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a day in minutes?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 160?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 6. Let s be (-3)\/6*(-3 + 3). Calculate g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 38*h - 4. Let u(i) be the second derivative of i**3\/6 - i**2\/2 - 56*i - 4. Determine 4*u(d) - w(d).\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 6*h. Let f be k(-3). Let d be 12\/(-5) - f\/(-15). Let q(p) = 5*p**2. Let v(r) = -2 - 6*r**2 + 2. Determine d*v(w) - 4*q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 343c (base 14) to base 7\nAnswer: 35305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 + 3 = 0. Let v = i - -4. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843.\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199 - 184.65. Let i = w + -14. Let f = -0.3 + i. What is the biggest value in 0.1, 1\/7, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/80*4*(-25)\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -12 - 21. What is the remainder when p is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 + 11*q - 21. Let r be m(8). Let v = 421 + r. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f + 321. Give h(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8484 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemeememmmmeem. What is prob of picking 2 m?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 20 = -5*r + l, 0 = -4*r + 2*l - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-20 + 3) - -44?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:41 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 330400232?\nAnswer: -330400240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 2*h**2 + 2*h - 1. Let v(k) = -80*k**3 + 10*k**2 + 10*k - 10. Determine 5*g(a) - v(a).\nAnswer: 75*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -87 (b) 0 (c) -0.2 (d) 5 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5 - 11. Let f = u - 1. What is the closest to 0 in -0.1, -3, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13661 is divided by 130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12270 times 0.65\nAnswer: 7975.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u**2 - 21*u**2 + u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*l - 9 = 0, 4*f = 4*l + 1 + 3. Let g be f\/(-24) - (-834)\/8. Suppose -2*c + 10*c - g = 0. Which is greater: 14 or c?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -69. Is (s - -2)*1*(-6 - -155) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g + 57*g - 20*g - 4*g**3 - 13*g - 7*g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310 + 629 - 319 - 14*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (186\/(-403)*117\/18)\/(9\/(-159)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -469, 2, 3, -4 in descending order.\nAnswer: 3, 2, -4, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(-2)))\/(v*v\/(v*v**12\/v))*(v*v\/(v*v\/(v**(-1\/2)*v)*v))\/(v*v**(-12)*v*v) assuming v is positive.\nAnswer: v**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 990078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 7*o**2 + 4*o - 2. Calculate the remainder when 103 is divided by c(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*r - 60, -5*z + 62 = 5*r - 38. Solve f = -16 + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + (-5247)\/(-18). Let j = g + -280. What is the smallest common multiple of 3 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142262.7 + -0.4.\nAnswer: 142262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 23\/2*d**2 + 22 + 0*d + 0*d**3 - 13\/4*d**4. Find the second derivative of o(h) wrt h.\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125603 = 1747*d + 33374 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = -g + 14*g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/2 + 3707*t**4 - 6811195*t**3 - 222021122*t**2 + 928922007*t\/2 - 235632393 = 0. What is t?\nAnswer: -34, 1, 3723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69922\/27 + -2587. Find the common denominator of 13096\/4560 - 32\/304 and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6789?\nAnswer: 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -4333 and -5\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 9*n**3 - 225 + 70 + 67 - n**3 + 49.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (5000\/(-12))\/(-5*2\/15) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361865 divided by -245\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242918, 485915, 728888, 971831, 1214738, 1457603, 1700420, 1943183?\nAnswer: 2185886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - u - 2)*(-2*u + u + 3*u) - u**2 + 3*u**2 + u**2 - 15 + u**2 + 15 + 10*u**2 + 10*u**2 + 3*u - 28*u**2 to the form x*u + m*u**2 + w and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 11:45 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1463 and -0.06?\nAnswer: -0.008778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:35 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787 - 67 = 45*a. What is the lowest common multiple of 188 and a?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/25)\/((-21)\/(-1470)) - 16)\/(9\/(-13))?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9938023*d**3 - 7396082*d?\nAnswer: 59628138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1903.1339 - -1893.71. What is p rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. List the prime factors of (-3 - n)\/(5\/(-65)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -7. Let p = y + -6. Let g(q) = -q**3 - 8*q**2 + 10*q + 11. Let u be g(-9). Are p and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -73*l**3 + 217*l + 122. What is the first derivative of p(y) wrt y?\nAnswer: -438*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 375, -88, -709?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01106178131 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/81)\/(8 - 2795\/351). What is the highest common factor of a and 9696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26274*d**3*n + 4*d**2*n + d**2 + 15*d*n + 1 wrt d.\nAnswer: 157644*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 20. Determine t(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-387*n**2 + 9*n - 160*n**2 - 9*n)*(-n**3 + 0*n**3 + 3*n**3).\nAnswer: -1094*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 26 = -3*v. Suppose v*i = i + 14. Find the common denominator of 73\/12 and (-70)\/((54\/(-1))\/i).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(-44) + 1666\/8. Suppose s = 5*v - 3*d - d, 3*v = -5*d + 147. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 16*c**2 + 21*c**2 - 7*c**2 + c - c + c**2 - 13*c**3.\nAnswer: -13*c**3 - c**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v**2 + 4. Let h be d(6). Find the third derivative of -h*m**2 + 11*m**4 - 4*m - 7*m**4 + 4*m wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70333814 times 0.5\nAnswer: -35166907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 5*f**2 - 2*f**2. Let u(q) be the second derivative of 0 + 0*q**2 + 1\/3*q**3 - 2*q. Calculate l(u(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1338 - -2.6702. Round h to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1. Let p = -69 + 79. Let m(k) = 4*k + 10. Let o(l) = p*y(l) + m(l). Let c(b) = 17*b**2. Determine c(o(j)).\nAnswer: 272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4889, 4867, 4821, 4745, 4633, 4479, 4277, 4021?\nAnswer: 3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76)*1 + 3 + -3 - 5*(-2 + sqrt(76) + -2 + sqrt(76)))*-5*-3)**2.\nAnswer: -4050000*sqrt(19) + 36877500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, g: 8}. What is prob of picking 1 t and 2 g?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2140*n**2 - 1130*n - 30578289?\nAnswer: 4280*n - 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 828?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 + x**2 + 0*x**2)*(-2 + x - 4 - 3) to n*x + j*x**2 + d + u*x**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 + 779384*n**4 + 75923691712*n**3 - 1215081485024*n**2 - 10023573467424*n = 0. What is n?\nAnswer: -194854, -6, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4675054mg in tonnes?\nAnswer: 0.0000000004675054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 753990885?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/28 + 5\/28. Which is the nearest to -1? (a) 8 (b) y (c) -2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 1, z: 1, w: 3, y: 2, n: 3}. What is prob of picking 3 w and 1 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 11285.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -46*p**3 - p**2 - p + 1. Let a be h(1). Suppose -5*c + 2*c = 3*s + 60, -4*s = -4*c + 96. Let g be a\/77 + (-4)\/s. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -687853, -687514, -687173, -686830, -686485, -686138, -685789?\nAnswer: -685438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-6)\/270)\/(12\/54)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 4, -20746 in decreasing order.\nAnswer: 4, 3, -1, -20746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, u: 3}. Give prob of picking 1 p and 1 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 18. Suppose 0 = j + 5, -31 = 2*v - q*v + 3*j. What is the units digit of (v\/(-6))\/((-12)\/54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 8)*(m + 18 - 4*m**2 - 18)*(3 - 2 + 1)*(3 + 7 - 5)*(5 - m**3 - 5).\nAnswer: -120*m**5 + 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11177, 11154, 11131, 11108?\nAnswer: 11085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -45, 1.\nAnswer: -45, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 585*x**3 + 5475*x**2 - 772705*x.\nAnswer: 5*x*(x - 29)*(x + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-46)\/b**(-27) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17*n**2 + 397*n - 532. Calculate y(22).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1, -0.055, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t - 12. Let u be (-2)\/(-4) + t\/6. Let r = -1.2 + 0.2. Are r and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5845.353 days to minutes.\nAnswer: 8417308.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184442928 and 5904.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 1, q: 3, d: 5}. Give prob of picking 1 v and 3 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38473443783 + 38473443384.00000322. Let v = 787 + -388. Let a = v + o. What is a rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3413760887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (13 - 16) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xllx when four letters picked without replacement from yyyyxyxyxlxllxx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*s + 3184 = 13*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.75 - 50.24472.\nAnswer: -50.99472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -1097, -1650, -2207, -2768, -3333?\nAnswer: -3902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9. Let z(l) = 4. Let b(w) = 2*y(w) + 5*z(w). Let i(k) = -k + 5. Let j(c) = 5*b(c) - 2*i(c). Let f(g) = 3*g. Determine f(j(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46400, 92799, 139198, 185597?\n\"Answer: 46399*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083028224 to 5 dps.\nAnswer: -0.08303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((8\/(-24))\/(11\/(-3))). Let m be y\/7 + (-1)\/(-49)*21. Let f = -1.5 - -9.5. What is the nearest to -2 in f, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, p: 6, h: 10}. What is prob of sequence bh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3618734079 and -29824?\nAnswer: 3618763903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 - 64*l - 190. Calculate p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45601491 + -4?\nAnswer: -45601495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7671 + -7669. Solve -q*u = 4*m + 16, 0 = -5*m - 11 - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 175, 112, 31, -62?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*r**3 - 157917873*j**2*r**2 + 2*j*r**2 + 29807676*r**4 wrt r?\nAnswer: 6*j**2 + 715384224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Suppose -h*x + 51 = 5*v, -x = 3*v - 4 - 27. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*h - h**2 - h**2 - 135*h - 7926 + 2035 as i*h + m*h**2 + x and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1511534, -3022892, -4534248, -6045602, -7556954, -9068304, -10579652?\nAnswer: -12090998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1415009854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 8*y**2 + 3*y - 7. Let w(p) = -p**3 + 4*p**2 + p - 3. What is -2*m(s) + 5*w(s)?\nAnswer: -s**3 + 4*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18.9 (b) -0.1 (c) -681 (d) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -15. Let p = 2 + 1. Is p >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 32*q = 100958. Suppose j = -10*j + q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/5 - 32*f**3\/5 - 196*f**2 - 4576*f\/5 - 726 = 0. What is f?\nAnswer: -11, -5, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 - 183?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 151497 divided by 1629?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 2657*n + 2658.\nAnswer: -(n - 1)*(n + 2658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59249 and 4833.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 22*m - 37. Let u be -711 - -739 - (-1 + 9). Determine w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -266 + 2?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 344884339 from 0.3.\nAnswer: -344884338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + ((sqrt(448) + 0 - sqrt(448)) + sqrt(448))*2 + -6*(sqrt(448) + -2))*-4)**2.\nAnswer: -294912*sqrt(7) + 4165632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-27 + 0 - 5 - 16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from oobooboobboobooooo?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2301.84020199 from -0.01.\nAnswer: -2301.85020199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**4 - 10*w**3 + 6*w**2 + 6*w + 6. Let a(g) = -8*g**4 - 11*g**3 + 7*g**2 + 7*g + 7. Let k(b) = 6*a(b) - 7*x(b). Factor k(n).\nAnswer: n**3*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n - 24. Suppose 5*y - 2*k + 10 = -0*y, 2*y - 5*k + 25 = 0. Let p be a(y). What is the common denominator of -85\/12 and (-214)\/p + (-4)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2, -10\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20594085322*c**4 - 82256511472*c**3 - 479086848*c**2 - 21378816*c\/23 - 13824\/23.\nAnswer: 2*(c - 4)*(6187*c + 12)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24468750, -48937568, -73406376, -97875168, -122343938, -146812680, -171281388?\nAnswer: -195750056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1209 - -1224. Solve 44 = -29*i - y*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 181 (b) 0.1 (c) 3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207668026 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 22 = 5*u, -5*n - 3 = -2*u + 16. Suppose 0*b + 35 = 5*b. Let l be (-6)\/(-14) + 32\/b. Put -5, l, u in descending order.\nAnswer: l, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/60 + p**4\/4 - 5*p**3\/3 + 9*p**2. Determine q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2947, 2948, 2949, 2950, 2951?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 3*o**2 - 5*o**2 - 1 + o**2 + 1 + (-4 - 6 + 0)*(-5*o**2 + o**2 + 5*o**2).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*l = -1, 0 = 4*f - l - 9 - 2. Suppose 0 = s + f*s - 284. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 1107, 3064, 6767, 12798, 21739, 34172?\nAnswer: 50679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (16 - 28)) + -1 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21272, -42656, -64040, -85424, -106808, -128192?\nAnswer: -149576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 9. Let v be t(0). Let q = -18 - -6. What is the units digit of ((-6)\/v)\/((-2)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7 - 4*q - q**2 - 2 + 2*q**2. Suppose -5*p = -4*t - 8, 4*p + 4*t - t - 25 = 0. Suppose p + 4 = 2*o. Determine w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0, -0.08, 5, 2 in ascending order.\nAnswer: -0.08, 0, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.9 - -10.925. Let z = x - -8.475. What is z rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 7. Let l be y(5). Let v be (-12)\/2*(-4)\/l. Suppose -h + 32 = v*z + 2*z, -z + 40 = 5*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 5 + 5)*(-2*i**3 + 13*i**3 - 2*i**3).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 457808 + -218\nAnswer: 457590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/8 - 19115*b**3\/4 - 364847613*b**2\/8 + 2559555845*b\/2 - 17930013409\/2 = 0. Calculate b.\nAnswer: -19129, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49.00368 + -49. Round y to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -4\/841, 1, 1474\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102)*-1 - sqrt(102)) - (sqrt(102) - (sqrt(102) + (6*sqrt(102)*2 - sqrt(102)))))\/(sqrt(48)\/sqrt(392)*4).\nAnswer: 63*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12621616 (base 7) in base 11?\nAnswer: -726424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3175647.9 - -0.024.\nAnswer: 3175647.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20538 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) + 66250806\/4. Suppose -m - 13488613 = -t. Let p = -13251315 + t. Round p to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -222*w - 2825. Let z(o) = 190*o + 2827. Calculate -6*c(p) - 7*z(p).\nAnswer: 2*p - 2839","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35649.11 micrograms to tonnes.\nAnswer: 0.00000003564911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.162 * 2.7.\nAnswer: 5.8374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -3*l**6\/160 - 11*l**5\/40 - 7*l**4\/32 + 49*l**2 - 2. Factor c(z).\nAnswer: -3*z*(z + 7)*(3*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 2*s)*(-s + 7 + 1 - 2)*(0 + 3 - 5).\nAnswer: -4*s**2 + 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5 + t**4 + 7*t**3 - 13*t**2 + 6*t = 0 for t.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46482 divided by -7747\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19375 and 125.\nAnswer: 19375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:39 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -972, -1913, -2802, -3633, -4400, -5097, -5718?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5461650\/47 or 116206?\nAnswer: 5461650\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - h - 15 = z, -10 = -3*h + 5*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -30649879.5 and 10630.\nAnswer: -30639249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 41 + (-4 + (1 - -3) - (-11 + 2))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2450062 - -20?\nAnswer: -2450042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3000, 5841, 8682?\nAnswer: 11523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/8079?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 x when four letters picked without replacement from vvhxxvvvxxvvxxqvxvv.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24992\/(-284))\/(242\/(-253))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 13, r: 1}. What is prob of sequence wwwr?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3785.8 - -3786. Which is the nearest to m? (a) -6 (b) -8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*2 + 75\/(-65)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2018\/(-13117))\/((-516)\/52)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -688\/9 - -76. Let o = -12 + 22. Let i = -11 + o. Which is bigger: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311453051 (base 6) to base 14\nAnswer: -a093cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140128 divided by -8758.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 0)*1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**3\/3 + 33*f**2 - 77*f. Is 2 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76, 78, 80, 82?\n\"Answer: 2*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15621 is divided by 110.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(99)*1)\/sqrt(9))*2 - (-5*1*sqrt(16) - sqrt(16) - sqrt(16))\/((sqrt(8) - (sqrt(8) + 2*sqrt(392) + sqrt(392) + sqrt(392))) + sqrt(8)).\nAnswer: 47*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, 0.6, 2, -0.002?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p = -26*p - i - 11, 37 = -4*p - 5*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 52548206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {g: 5, p: 2, a: 6}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 4 + -4 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -3) + (-8 + -3 - -8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/73)*m*m**(-36)\/m)**22 assuming m is positive.\nAnswer: m**(-57860\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/(-54))*(1217 + -1219)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r\/(r**6*r))\/(r*r**(-2\/9))**33 assuming r is positive.\nAnswer: r**(-283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - 81)*(-2 + 5 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y + 47*y - 271764 = v, -2*v + 543520 = 4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 + 9542*b + 22762441 = 0. What is b?\nAnswer: -4771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 182531369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 23.23. Let h = v + -0.07. Let o = 2.614 + -0.614. What is the smallest value in h, -0.1, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/3 - u**2 + 2*u + 1. Let o be n(2). Let h = -3 + o. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7897 + 7855 - (-82 - -3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u + 3 = 0, 5*u = -5*l - 5. Solve l*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*t + 6, 5*w + 0*t - 15 = -4*t. Suppose -w*d = 12 - 48. Suppose 0 = -q - 3*q + d. Solve 0 = 7*b - q*b + m, 7 = -3*b + m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = 0, 0 = 3*n + t - 5. Suppose w = 5*c + 177, -c + 4*w = n*c + 132. Which is smaller: c or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 439337, 1757360, 3954063, 7029446?\n\"Answer: 439340*v**2 + 3*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - 47*q**3\/6 + 24*q**2 - 10*q + 146. Determine o, given that x(o) = 0.\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 137*x + 373*x + 256*x + 1.\nAnswer: 492*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 8*n**2 + 5*n**3 - n**3 + (0*n**3 - n**3 + 3*n**3)*(3 + 1 - 6) + n**3 - n**3 + n**3.\nAnswer: n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/14*1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-44) + (41662\/44319 - 1). Let s = 1\/237 - x. What is the biggest value in 0.6, -3\/4, s, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0475242 to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1230 = -4*j + 14*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.260778ug to grams.\nAnswer: 0.000002260778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153859.928 rounded to the nearest one thousand?\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**3 - 162 + 10*r - 8*r**2 - 20*r**3 - 21*r + 7*r**3. Is 68 a factor of k(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 5*p - w - 13 = 0, 3*w = -p + 9. Suppose -8*q + y = -p*q - 124, q + 3*y - 28 = 0. Calculate the remainder when 61 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -342*z**2. Let j(o) = -477*o**2. Determine j(f(k)).\nAnswer: -55791828*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1377)\/81)\/((-323)\/114)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1, -4, -10, -1\/4, -284.\nAnswer: -284, -10, -4, -3\/5, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 513766240 divided by -1235015\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = v, -v + 2 = -r - 0*r. Suppose -3*h = -4*l - 48 + 2, -4*l = -4*h + 56. Is 4\/(r - h\/14) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -105. Let g = 395 - l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let p be (-2)\/(-5)*30\/m. Suppose 25 = p*w + 9. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/17198214 and 5\/47378.\nAnswer: 17198214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7030559 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: Let l(w) = 0*w + 22 - 9 + 10*w. Let c(i) = -3 + 17 - 5 + 7*i. Let k(m) = 7*c(m) - 5*l(m). Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2503 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18583606 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -6*l**2 + 0 + 0*l + 1\/2*l**3 - 3\/8*l**4. Let p be g(-5). What is the highest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -2\/11 (c) -0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 98950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o*o)**(-26)\/((o**(1\/4)*o)\/o)**(8\/3) assuming o is positive.\nAnswer: o**(-158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-12)*9 + -1. Suppose -3*n - i*n = -210. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 2385290?\nAnswer: 21467610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.4 and -17003?\nAnswer: -57810.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-28 - 15) + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -29*w - 40 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5999 = -16*f + 5009. What is the tens digit of -5 + f + 5 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -7 (b) -2\/5 (c) -1 (d) 0.85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + -2. Let j = -0.08 + 4.08. Let r = j + m. Is -1\/3 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-150)*-25*(-6)\/(-152).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49199*i**2 - 22*i - 533?\nAnswer: 98398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -93970 divided by -3\nAnswer: 93970\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/17112 and 67\/860808.\nAnswer: 19798584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*w + 4*w - 7*w)*(-159 + 90 + 90)*(-1 - 2 - 4) to the form n + d*w and give d.\nAnswer: 2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3030952629.\nAnswer: 3, 229, 4411867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(-2)*(6\/17)\/((-9504)\/125664)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 840 - 839.9003. Let n = -0.099698926 + o. What is n rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 459781 + 5?\nAnswer: 459786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9740682.\nAnswer: 2, 3, 7, 73, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -19*n + 64. Let t be -10 + 2 + -3 + n. Let j(s) = s**2 + 8*s + 8. Give j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 79*d - 1056. Give p(63).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0 + 18. Suppose 2*b - 3*m = 127, -5*b + 5*m = -101 - 204. Let k = b - 38. Calculate the greatest common divisor of h and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1413 = 3*v, 55 = 5*v + z - 2280. Solve -20 = v*x - 471*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 2*d + 28, 0 = 3*f + d - 38. Let g = f + 16. Calculate the remainder when 82 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-3 - -7) + -4 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i + 5. Let s be w(5). Let g = -873 + 888. Suppose -14*r = -g*r + s. Calculate the smallest common multiple of 24 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 + 25*t**2 - 83*t**2 + 30*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 155*s**2 - 345*s + 1709. What is h(-54)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k - 7. Let a be s(2). Let n be (-2)\/a*15\/39. Let o = 1 - 1. What is the closest to -0.1 in 2, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 8. Let z be s(-2). Suppose -f + 14 + 2 = z. Calculate the remainder when f is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 174703 + 172987 = 0 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 + (-6 - (-2 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(2 + sqrt(432) + -4) + 4))**2.\nAnswer: -36864*sqrt(3) + 252928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2054 and 51\/2.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1035 - 330. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7270 + -218051\/30. Find the common denominator of y and -56\/11.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 0)\/(5 + 54\/(-12)). Let m be (3\/y)\/((-1)\/(-4)*-11). Let c = -0.09 + 2.09. What is the closest to c in 3, -5, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2300 + 2311. Solve 0 = -4*r - q - 2, -5*r + s = -2*q + 7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**2 - 4*r + 5*r**5 - 3*r**5 - 2*r**2 wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 3, -5, 2, 139 in decreasing order.\nAnswer: 139, 6, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9234 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 divided by 2543?\nAnswer: 1713\/2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 907.0539 minutes in hours?\nAnswer: 15.117565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.619263 - 571.902737. Let w = m - -573. What is w rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j - 4305 = -3681 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11733483.8 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2447256 and 1281.\nAnswer: 149282616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8498 + -6735. What is the highest common divisor of 43 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - x - 3 + 0*x + (-6*x + x + 3*x)*(7 - 4 + 1) as h + c*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2. Let z be r(1). Let h = z - -6. Solve -6*d - 2*l = -d - 2, 3*d = -h*l - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4353*d. Let r(o) = 25*o**2. Calculate w(r(v)).\nAnswer: 108825*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 88\/7*l + 2\/7*l**2 + 0 = 0. Calculate l.\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9 - 3fdc9?\nAnswer: -3fec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from ldvvvilipv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33633 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/36 - o**3\/9 - 2*o + 39. Suppose g(v) = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 2*h = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**4 + 6*m**2 + 5*m**3 + 6*m**3 + 3*m**3 - 24*m - 3*m**4 + 2*m**2 = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*u*u**(-2\/11)*(u\/((u*u**10*u)\/u)*u)\/u**(-6\/11) assuming u is positive.\nAnswer: u**(-29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14258 is divided by 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.6214 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 27*f = 3*l - 9, 6 = 5*f + 2*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 4. Let j be c(-2). Solve 3*s - 3*s**j - 3*s**3 - 3 - 2 + 5 + 3*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 10. Let n be l(-9). Is ((-2)\/4)\/(n\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34d028 (base 16) to base 4.\nAnswer: 31031000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, 5, -5 in decreasing order.\nAnswer: 21, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/936*(-16)\/6 + 112\/(-221).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 25*k + 23. Is q(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147306749.40000019 + -147306755.5. Let q = p - -6.1. Round q to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 11. Let z = 8 + c. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3112?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 4*d - 7. Suppose -4*b = 7*b - 22. Suppose 7*s - b*s = 3*q, s - q = 2. Let l be v(s). What is the highest common factor of l and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2708543, -2708414, -2708281, -2708138, -2707979, -2707798, -2707589?\nAnswer: -2707346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n + 3*d + 688 - 736, 2*n + 28*d = 4*n + 218 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-428)\/369 + (-6840)\/(-6156)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 767\/3. Let n = 24 + -23.98. Sort -2, g, n in increasing order.\nAnswer: -2, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - a = -2774003, 13*a - 5547991 = 4*n + 16*a. What is n rounded to the nearest ten thousand?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0. Let d = -5.13 + 0.13. Sort v, d, 0.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Factor -2*v**2 + 9*v + 5*v**f + 2*v**2 - 14*v.\nAnswer: 5*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 14.9968. What is g rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3472.0001777 + 3472. What is r rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13906288*u. Let q(c) = 60*c. Give i(q(v)).\nAnswer: -834377280*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a + 21768 = 797*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -947 = -5*m + 2*b, -946 = -17*m + 12*m + b. What is the greatest common factor of m and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19192733 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:12 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3 + 504*p**2 - 996*p + 496 = 0. What is p?\nAnswer: 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -140291, -1 in decreasing order.\nAnswer: 7, -1, -140291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/20 - k**4\/4 - 2*k**3\/3 - 15*k**2\/2 - k + 8. Is 5 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 1. Let o(w) = -12*w - 1. Let j = 707 + -712. What is j*d(l) - 2*o(l)?\nAnswer: -6*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 135879150?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19240 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -7659 in decreasing order.\nAnswer: 5, -1, -7659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-143)\/39*-105*(-54)\/(-1485). Suppose x - 2*x = -2. Solve -r = -4*f - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -38\/847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) - ((-83)\/20 + 15 + -9).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(15) + (sqrt(45)*-2)\/sqrt(3) - sqrt(15)))\/(-2*sqrt(12)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4277\/141)\/((-1)\/(-18)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.173692 years?\nAnswer: 0.009173692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 746970110871.2 less than -0.3?\nAnswer: -746970110871.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-480))\/(12\/(-50)). Suppose -5*t = 2*r + 27, -t - 29 = -24. Which is bigger: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let n = 101 - 97. Let z(y) = -1 + 55*y**2 + 1 + n*y**2. Determine t(z(a)).\nAnswer: 118*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -41*m**2 + 8*m - 77. Let p be 0\/(-1) - ((-2 - -4) + 3). Let d(q) = -27*q**2 + 5*q - 51. Let i(x) = p*o(x) + 8*d(x). Differentiate i(g) wrt g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153619 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 + 2*z + 23. Let i be b(-10). Suppose -i*o**2 - 199 - 101 - 16*o + 76*o = 0. What is o?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160697952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**4 - 152292*z**3 + 3650*z**2 + 42*z wrt z?\nAnswer: 144*z - 913752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-36 + 25) - (-10 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l - 90 = 486 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**3 + 75*m**2 + 590*m + 840 = 0.\nAnswer: -4, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.51 + -1.51. Let i = 0.1 - -0.1. What is the third smallest value in i, -4, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y**3 - 273*y + 4*y + y**3 - 6*y + 0*y**2 as i*y + r + x*y**2 + v*y**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 84 = -18*o. Calculate the remainder when 52 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11\/9)\/(-12 + 14)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 690*t**5 - 3*t**2 - 2*t + 2443?\nAnswer: 41400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 3. Suppose 0 = 3*k + 4*c - 44, -2*k = 2*k - 2*c - 22. Let i be r(k). Let f(o) = o**3 - 6*o**2 + 5*o + 1. Give f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.15 (b) -2\/153 (c) -252\/17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 64 - 4*s)*(0*s + 0*s + s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13114469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fba59 (base 16) in base 3?\nAnswer: -10220122021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + sqrt(272))**2 + 2 + sqrt(136)\/(4*sqrt(8)) + 4.\nAnswer: sqrt(17)\/4 + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12228*f - 3972*f + 9651*f to m*f + b and give m.\nAnswer: 17907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*y + 16, 5*j - 2 = 3*y + 2. Find the second derivative of -14*m**j - m + 3*m**2 + 7*m - 30*m**2 wrt m.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2343086625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**2 + 10*z + 9. Let l(n) = 22*n**2 - 21*n - 21. Let k(j) = 7*d(j) + 3*l(j). Let y(w) = 32*w**2 - 20*w. What is 11*k(g) + 4*y(g)?\nAnswer: 7*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 7*h + 3. Let l be w(-8). Let o = -365 - -365. Put 3, l, o in descending order.\nAnswer: 3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 13*w**2 - 8*w**2 + 20 + 5*w**2 - 8*w**2.\nAnswer: 2*w**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 7:11 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1054782\/551 - -55524\/29. Let k = -2 + 5. Factor -b*x**5 + 2\/19*x**4 + 0 + 0*x + 0*x**2 + 4\/19*x**k.\nAnswer: -2*x**3*(x - 1)*(3*x + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39468359 rounded to 3 decimal places?\nAnswer: 3.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4894 - 4887. Which is the fourth biggest value? (a) 6 (b) p (c) -2\/15 (d) -4\/9 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9\/4, 0.1, -3, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24*r**3 + r**2 - r + 1. Let h be b(1). Suppose h = 5*a, k + 0*a + a = 9. What is the third derivative of 4*y**2 + y**k + 4 - 4 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11941725 and 273602.\nAnswer: -11668123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100749 is divided by 33405.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 + j**4\/4 + j**3 - 8*j**2. What is the units digit of p(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 27 = -3*j, 5*z + 2079 = -2*j + 2110 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 15 + d**2 - 56 + 21.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 - -465. Let v(q) = q**3 + 5*q**2 + 7*q + 7. What is v(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.50667762735 - -2.4.\nAnswer: 2.90667762735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. Let w(m) = -m**3 + m**2 + 4*m - 5. Let v(o) = -5*b(o) + w(o). Let a(d) = -d**3 + 5*d**2 + 4*d - 10. Let n be a(4). Let y = n + -22. Give v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181014 is divided by 7033.\nAnswer: 5189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 10 = x, 5*g + 16 = x - 0. Factor 1\/4*y**2 - x - 3\/4*y.\nAnswer: (y - 4)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 3. What is z(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 2*y**2 - 6*y - 15. Determine t(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwtttwwwt. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 50*l - 32. What is the remainder when v(4) is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18540, -17941, -17342?\nAnswer: -16743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:24 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i + 3\/2*i**2 - 5\/2*i**3 + 0 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.8 - -5.68. Let c = -0.12 - a. Let y be 4\/14 + (-36)\/77. What is the nearest to -2\/7 in -0.2, c, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/215 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 7 + -1 + -39 + 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1579, 2100, 2621, 3142?\n\"Answer: 521*d + 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z + 5. Suppose 207 = 7*u - 927. Suppose -14*c = 13*c + u. Let w(m) = 16*m + 6. What is c*j(o) + 5*w(o)?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0 + 0*j**5 + 1\/6*j**4 + 0*j**3 + 0*j**2 + 8*j - 1\/15*j**6. Solve m(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 2*n**2 + n + 2. Let k be y(-2). Suppose -5*a + 62 + 48 = k. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l**1)**(-21)\/(((l\/(l**(-5\/3)\/l))\/l**(-1\/5))\/(l\/(l*l**(-1\/3)\/l*l*l))**(11\/4)) assuming l is positive.\nAnswer: l**(-207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 2*b**2 - 4*b - 4. Let s = 2007 - 2003. Let j(o) = o - 1 + o**2 + 0 - 2*o. Determine s*j(i) - q(i).\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6 = g, -g + 3*g + 1 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 227 in ascending order.\nAnswer: -5, 2, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 4211134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 125. Let a(y) = -y + 24. Let f(d) = -30. Let i(b) = -5*a(b) - 4*f(b). Give i(r(o)).\nAnswer: -15*o - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2555.6 + -2556. What is the closest to -11\/3 in x, 0.4, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002243 to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.941523 millennia to years.\nAnswer: 4941.523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-672)\/(-384))\/(-2*(-3)\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65927 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 30*y + 11346 = 0. Calculate the remainder when y is divided by 119.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191*-4.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/13)\/d))**(-44)\/(d*d**1*d*d)**(-2\/31) assuming d is positive.\nAnswer: d**(-32632\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 - -99. Solve 0*z + 3 = -c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25 - 115\/25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1692\/(84 + -48) + -55\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27109618?\nAnswer: 2, 19, 713411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*j - 143, -2*b + 0*b = 3*j - 99. Suppose 5*i - 15 = h - b, -20 = 4*i. Let d = h + -1. Let m(x) = 11*x - 1. Give m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 3*x + 8 + x + 18*x**3.\nAnswer: 18*x**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5264 = -4*q, 0 = 2*q + 29 - 21. Is (53\/4)\/((-22)\/l) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 - 10*w**2 - 3*w + 3. Let z be f(-2). Calculate the highest common factor of z and 2915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2) - 6\/(-1). Let b be (-20)\/30 + d\/((-15)\/(-8)). Solve 0 = -5*o + 2*k - 26, b*o + 2*k + 1 = -1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 2*y - 1. Let x be u(-2). Let o = x - -2. Let n be -12 - 69*(-120)\/684. Is o smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -1104\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-15)*3 + 6\/10. Solve -p - 5 = 3*r + 3*s, -6 = -3*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*c + 3*g, 2*g + 12 = -c - g. Let h(b) = -16 - 11*b + 4*b**2 + 3*b**2 - 8*b**2. Let t be h(c). Solve 2*a - 2*l - t = 0, 2*a - 3*l = l + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*n + 5. Let s(r) = 4*r**2 - 5*r - 13. Let c(x) = 3*x**2 - 4*x - 14. Let z(k) = n*s(k) - 5*c(k). Does 9 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1961 and 4692673.\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z + 1. Let x be u(1). Let c(h) = h + 15. Let i be c(x). Suppose 0 = 5*f - 3*q - 15, -2*f - 20 = -i*f + 4*q. Is f equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5457 = -9*u - 1092. Suppose -5*o + 440 = -u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 + i**2 - 16 + 5 + 6. Suppose -4*x - 12 + 20 = n, 0 = -3*x + 6. What is c(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230935689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*j = -1896, -2*c - 3*j - 1422 = -5*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/1)\/((-25)\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 321.9 + 0.2\nAnswer: 322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 47*a - 14. What is the remainder when g(4) is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let x be o(1). Is (-5)\/10*(x + -61) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/21 + 4\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 15*y + 0 - 23\/12*y**4 - 2*y**2 - 13*y**3. Find the first derivative of g(f) wrt f.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/165)\/((-54)\/(-20))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(-14))\/(6\/44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, 1, -50, 6\/7 in increasing order.\nAnswer: -50, 1\/3, 6\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 1. Let f = 10 + -5. Let x(p) = p**3 - 8*p**2 + 11*p - 1. Let j be x(6). Let g = f + j. Calculate w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z + 169293*z**2 + 26*z + 26*z.\nAnswer: 169293*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2875180 is divided by 1059.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-12))\/(-1))\/((-1)\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen eighths of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1395423, -1394952, -1394481?\nAnswer: -1394010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 5. Let w be t(5). Suppose 3*i - 5 = 2*l + 3*l, 2*l + 2 = w. Let j be 1\/(-18)*(-1 + 1 - 4). Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3371882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/122 and -1\/36?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/20 - q**4\/6 + q**3\/2 - 3*q**2\/2 - 3*q. Let f be a(2). Factor -4*s**2 + 2*s**3 + 4*s**5 + 0*s**4 - 6*s**f + 4*s**4.\nAnswer: 4*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -16 - 0 - (4033 - 4015)) + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-4) - (-59706)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, f: 5, m: 1, p: 3, x: 3}. What is prob of picking 3 f?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219071.\nAnswer: 219071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1.8 (b) 0 (c) -5 (d) -7203\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*x**3 - 1 + 1 - 20*x**3.\nAnswer: 124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-4))\/(-3)*12\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) -1\/3 (c) 1\/8 (d) -28 (e) 0.257 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + w + 204. Let b = -45 - -48. Suppose -5*x = -2*g - 15, 2*x - 3 = b*g + 3. Is 11 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 - 8*z - 4. Let b(g) = -4*g**2 - 8*g - 5. Let p(w) = 5*a(w) - 4*b(w). Let i be p(8). Factor v**3 + i*v + 0 - 3\/4*v**4 + v**2.\nAnswer: -v**2*(v - 2)*(3*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**4 + 59*n + n**3 - n**3 + 64*n - 1 - 138*n as r*n**2 + s*n**3 + a*n + q*n**4 + c and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 58. Let f(z) = 5 - 9 - 2*z - 24*z**3 - 2*z**2 + z + 5. Let x be f(-1). Solve 0 = 4*y - u*s + s + x, 0 = -2*y + s - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36326819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 23 - 5. Let y be (6\/(-4))\/(l\/(-8)). Let g = y + 4. Solve t - 3*m + 2 = 0, 0 + 3 = -g*t + 5*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 8*y. Let f(k) be the first derivative of k + 4\/3*k**3 - 6 + 7\/2*k**2. Let o(i) = -6*f(i) + 5*s(i). Determine o(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c**3 + 87*c**3 + 4*c**2 + 1 + 0*c - 3*c**2 - c. Let q be w(1). Let k(j) = 0*j**2 - q*j - 2*j**2 + 66*j. Let d(b) = -14*b**2. Determine k(d(m)).\nAnswer: -392*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.65 and -55281.3.\nAnswer: 35932.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -322c + 36b86?\nAnswer: 33957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21131 - 0?\nAnswer: -21131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12366\/43 or -288?\nAnswer: -12366\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 59. Let a(b) = 8*b**2 + b - 1. Let s be a(2). Let j(k) = -59*k**2 + s*k**2 + 25*k**2. What is j(d(n))?\nAnswer: -n**2 - 118*n - 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 12*r**2 - 32216*r - 1485120 = 0?\nAnswer: -136\/3, 2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3053*u + 53. Let p be s(-1). Suppose -3*j + 4*h = -7*j + 3112, -4*j + 2*h + p = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12795 and 51180.\nAnswer: 51180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 18 = 4*f, 5*f = -u - 2*u + 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = u + 5*l, u - l = -0*u + 15. Calculate the remainder when 17 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*a + 2*a + 3*a)*(0 - 8 - 53) + 0*a + 2*a - 8*a + (1 - a - 1)*(1 + 6 + 4) - 5 + 2*a + 5 + a - 3*a + 0*a as x + s*a and give s.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 86 = -t. Suppose -18 = -4*b + t. Suppose b = w + 5. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8687873ug to milligrams.\nAnswer: 0.0008687873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 25*c + 20. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12965613.\nAnswer: 3, 4321871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -19*t**2\/2 + t + 2. Let d be (-2 - -4)*-2*7\/14. What is the tens digit of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1338 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.38 to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**3 + 2*y**2 + 4*y**3 - 2*y + 2*y**3 to the form w*y**2 + a*y + o + x*y**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - a**2 + 3*a**2 + (2 - 4 + 0)*(-61 + 61 + 18*a**2) to the form k*a**2 + b + t*a and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 + 241.6. Let i = 34.5 + k. Let l = -5.5 + 0.5. What is the smallest value in -2\/7, 2\/7, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7568, -7574, -7582, -7592, -7604?\nAnswer: -7618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1694 + -1691. Solve b*p - 14 = 4*f, -2*f - 3*p + 4 = p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 5:39 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2\/29, -0.3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 47451184166\nAnswer: -47451184162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8766 + 8844. Solve -t = 78*i + 390 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200118831.\nAnswer: 3, 11, 53, 114419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*x - 18 = 0, 12*x + 13 = 4*a + 11*x. Solve -3*k + a*z = -11, 14 = 2*k - z - 2*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (38 - 25 - 13) - -46.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*q**3 + 3988*q**2 + 44848*q + 21428 = 0. Calculate q.\nAnswer: -487, -11, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 2*p**2 + 3*p. Let f be w(-2). Calculate the remainder when 9 is divided by (-12)\/f*(-40)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**3 + 1615115 - 1615115.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Let n = l + -4.4. Which is the third smallest value? (a) n (b) 0.8 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -61 (c) -1.7 (d) 5.1 (e) -1\/4 (f) -45\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1250, -9823, -33034, -78185, -152578?\nAnswer: -263515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-6)\/2 + 3. Let d = 0 - j. Is -5 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 2*h**3\/21 - 496*h**2\/7 + 123008*h\/7 + 554. Suppose w(c) = 0. Calculate c.\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a - a + 2*a)*(1 - 1 - 5) + (3*a - 5*a + 4*a)*(-3 + 5 + 0))*(-21 + 11 + 9).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*-2 - (3*-2*sqrt(7))**2.\nAnswer: -252 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2\/5, -3, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -12, 102 in decreasing order.\nAnswer: 102, 4, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -41 + 51. Solve -21 = j*n + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29466 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1009345, 1009344, 1009343, 1009342, 1009341?\n\"Answer: -u + 1009346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -777, -659, -407, 39, 739, 1753?\nAnswer: 3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 379690 = -k - 549307, 4*k = 5*q + 929012. Round q to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.787 + -1.787. Which is the nearest to -0.1? (a) 30\/11 (b) 0.2 (c) 23 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1617 = -4*j + 4*n + 4293, -3*n = 3*j - 1995. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 36 + 5 - 2*h in the form y*h + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 101*m**4\/12 + 5*m**3\/6 - 19*m**2\/2 + 94*m + 2. Find the second derivative of h(x) wrt x.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-304)\/(-704) - (-1)\/(-4). Let u be -5 + (2 - (2 - 1)). Let k be 2*(-2)\/(u + 0). Is n greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*a**3 - 3*a**4 - a**2 + a**4 - 10 - 317*a**3 + 14*a + 0*a**4 - 6 as u*a**2 + g*a**3 + w*a + n*a**4 + z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 32131.\nAnswer: -32131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 155*l + 5098. What is q(25)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 16\/15*x**3 + 14\/5*x**2 - 2 - 19*x + 1\/15*x**4. Factor f(h).\nAnswer: 4*(h + 1)*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -370? (a) 2\/3 (b) 4 (c) 2\/13 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 5)\/((-3)\/(-6)). Solve -q*v - 5 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 - 0.04. Let g = 17.83 - z. Let w = -19 + g. Which is smaller: -5 or w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.9 and -2.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - p, -5*p + 2 + 13 = 5*l. Let h be (28\/(-4))\/(l - 2). Suppose -h = -f - 0. What is the greatest common factor of 14 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41676940 + 78*v - 77*v + 41676940.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 45.\nAnswer: -28\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j = 0. Suppose j = -3*x + a + 5, 5*x = 3*a + 4 - 1. Solve r = x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let x(f) = -6*f + 4. Suppose l = -2*l + 3. Let o be (2 - (-3)\/3) + 1. Let s(v) = l*x(v) + o*n(v). Let z(j) = -2*j**2. What is s(z(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + 93. Let s = n + 7. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.229333 months in decades?\nAnswer: 0.018577775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose s - 10 = -j*s. Find the second derivative of 2*i**2 - 2*i**2 + s*i - 2*i**2 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + a = -1, -5*a - 8 = -j - 30. Suppose 78 = 3*b - j. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + 3. Suppose 3*l = -l. Let q be o(l). Suppose -3*j + 12 = -2*j. Solve -3*b - q - j = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 4 - (-363 + 385) - (2 - 8 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14 + ((-600)\/42)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.858 + 2.958. Let u be 3\/(-2) + 770\/516. Let c = u + 271\/1677. What is the closest to k in 4, c, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.27.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -782218638 divided by -596658\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1262*b + 638*b + 637*b + 4641. Is -1\/8 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2057) + -1) - sqrt(2057)*1*6)**2*3.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25286487 and -118.7?\nAnswer: 25286368.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13004.2, -5, -3\/5, 1, -3 in descending order.\nAnswer: 13004.2, 1, -3\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2921*s + 0*s**3 - 9*s**3 - 2921*s.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 649882 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 35*q + 360 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88300 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifrvrkrirr. What is prob of sequence rkiv?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**3 - 3*p + 2. Determine s(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -1154?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*0.360151.\nAnswer: 0.05042114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*x + 1320 = 0, 98 - 362 = s - 5*x. Let r = s - -163. Which is bigger: r or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -413, -378, -361, -368, -405, -478?\n\"Answer: -s**3 - 3*s**2 + 51*s - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1184034, 2368610, 3553186, 4737762?\n\"Answer: 1184576*y - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2\/7 + 148*g\/7 - 144\/7 = 0.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/273 - 2\/(-13). Suppose 5*a - 7 + 2 = n, d - 2*a + 58 = 0. Let z = -45 - d. Solve -3*x - 2*c - 9 = z, 4*c = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 13*x + 24. Suppose x*h - 16 = -0*h. Solve -h + 12 = 2*i + 2*n, 12 = 3*i + 2*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073032146 to seven decimal places.\nAnswer: -0.0007303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Let r be u(-2). Let m be (4 + -4)\/r - 3. Sort -5, -2\/11, m in descending order.\nAnswer: -2\/11, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54717 (base 10) to base 7\nAnswer: 315345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*-1*sqrt(19) - sqrt(19) - (sqrt(19) + -2 + 1)).\nAnswer: 5 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = d, 4*d = -3*a + 5*a - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13655, -27310, -40967, -54626?\n\"Answer: -y**2 - 13652*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3070*c = -1780*c + 3960*c + 84000 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, -10, 2\/15 in ascending order.\nAnswer: -10, -3, 2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-6) - (1 - -20). Calculate the smallest common multiple of 1\/(2 + d\/11) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217.3*0.05166.\nAnswer: 11.225718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 183, 693, 1689, 3333, 5787, 9213, 13773?\nAnswer: 19629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j**(-1)*j)*j)*j)**(-1\/27)\/(j**3*j**(-4\/9)*j))**(-5\/2) assuming j is positive.\nAnswer: j**(245\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -121 + 28 + 7 + -6 + 41\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 9. Give v(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58531 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Let n = -8 + m. Let b = -1 - n. Which is greater: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*z = -9, 9 = p - 6*p - 4*z. Let x(j) = 400919*j**2 - 1. Let v be x(p). Suppose -509082 = -5*f + v. Round f to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let u = 0.704 - -0.196. Let x = -0.1 - u. Put -16, x, o in descending order.\nAnswer: o, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*u**5\/9 + 1280*u**4\/9 - 16684*u**3\/9 + 23912*u**2\/3 - 9664*u - 3456 = 0. Calculate u.\nAnswer: -2\/7, 3, 4, 12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26 + (-18648)\/714 + ((-2)\/17)\/(15\/(-66)). Let -9*d**2 - 11\/5*d + i - 49\/5*d**3 - 17\/5*d**4 = 0. What is d?\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 153\/2. Let k = 3305 - 3305. Determine h, given that -c*h + k + 6*h**2 - 3\/2*h**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -0*w + 3*b, w - 2*b = -17. Let r be w\/(-6) + (-4)\/12. Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -145571 and -416.9.\nAnswer: -145987.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/146 - (-55 - 3285625\/(-59787))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36115320 + 1?\nAnswer: -36115316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4988, -4990, -4994, -5000, -5008, -5018?\n\"Answer: -l**2 + l - 4988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.56181*0.1\nAnswer: 0.056181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 o, and 1 x when four letters picked without replacement from voorxxj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10957, 21880, 32803, 43726, 54649, 65572?\n\"Answer: 10923*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865310 is divided by 3993?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32782, 33676, 35166, 37252, 39934, 43212?\n\"Answer: 298*z**2 + 32484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 59\/3. Let b = 0.512 - 0.662. Is u greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 195\/26*(48\/10)\/6. Solve -16*z = c - 38 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236690 and 15?\nAnswer: 710070","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 460, 176, 2 in increasing order.\nAnswer: -4, 2, 176, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/6 - 17*y**3\/2 - 3*y**2 + 2. Let f be a(-18). What is the highest common divisor of 105 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 2, c: 8}. What is prob of picking 1 b and 1 i?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**3)\/(w**(-1)*w))\/(w**(-15)\/w*w*w**17))**(-3) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394, -742, -1094, -1450, -1810, -2174?\nAnswer: -2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19678772 and 14759079?\nAnswer: 59036316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -41 (b) 2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**3 + 3 + 1\/6*g**4 - 85*g + 63\/10*g**5 + 67\/2*g**2. What is the derivative of s(l) wrt l?\nAnswer: 378*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1305*315\/21)\/((-35)\/(-21))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(25) + sqrt(100)\/sqrt(4) - sqrt(25)) - (2*sqrt(25) + sqrt(25))*-5)\/((6*sqrt(160))\/sqrt(2)).\nAnswer: 17*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -380 - -388. Let r(l) = 5*l + 1. Let v(f) = f + 1. Let w(t) = r(t) - 4*v(t). Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48998304.\nAnswer: 2, 3, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0 + sqrt(396))*6 + sqrt(396) + -1.\nAnswer: -1 + 78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + 5) - (-70 - -77).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*q + 19, 4*i - 2*i + 5*q = -23. Let j(t) = 0*t + i - 4 + t. Let o = -13 + 13. What is j(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -796764 divided by -268\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 451.66 and -58.\nAnswer: -26196.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + 17. Let c = 36 - h. What is the fourth biggest value in c, -4, -0.3, -0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 96029?\nAnswer: -4\/96029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285162?\nAnswer: 2, 3, 47527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -73 in decreasing order.\nAnswer: 5, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.27. Let u = -27.0296 - -27. Let z = f - u. Round z to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1148*d - 19*d**3 + 1154*d - 22*d**3.\nAnswer: -41*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 42. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10134 = 1030*s + 3393 - 19009 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Suppose -21*x = -32 + 11. Let m(b) = -3*b. What is x*m(j) + 2*c(j)?\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - i - 3 = 0, 0 = 3*d + i + 507 - 500 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12 - -9*(-5)\/12. Let n be (-22)\/9 - (v + (-152)\/(-36)). Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.7 (c) -2537661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 - 52666410*x**3 - 30*x**2 - 132627*x + 4.\nAnswer: 72*x - 315998460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g + 4*l + 10, 4*g = 3*l + 24. Find the third derivative of 10*w**2 - 13*w**3 - 8*w**6 + 5*w**g + 8*w**3 wrt w.\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(5\/1090). What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-14))\/(37\/(-777)). Let t(d) = -8*d**3 - 9*d**2 - 5. Let l(j) = 4*j**3 + 4*j**2 + 2. Determine m*l(c) + 4*t(c).\nAnswer: 4*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 527. Suppose -20 = v - 22. Suppose 0*p - 4*p - v*g + 6 = 0, -4*g + 12 = -3*p. Is y(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444\/370*5\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 6*m - 9. Let b be (-228)\/38*2\/6. Give q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeooooooooooooe. Give prob of sequence eee.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 266596857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80 - -1)*(-236)\/236. Solve -71 = 4*l - h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3156 - 3816 = 55*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**8\/224 - 19*o**7\/420 + 4*o**6\/45 - o**5\/18 - 129*o**2. Factor n(i).\nAnswer: i**2*(i - 5)*(3*i - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 134 = -b + 167. Solve b*z = -92 + 257 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w - 101 - 235 = -9*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 60\/7?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2500 + 2654. Calculate the lowest common multiple of g and 588.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t - 1)*(8 + 1 + 1)*(3*t**3 - 2 - 2*t**3 - 79*t - 305*t).\nAnswer: -10*t**4 + 3840*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0297966613469 take away 2.4?\nAnswer: -2.3702033386531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/9)\/u*u**(-12))\/((u**(2\/7)*u)\/u)**42)**(19\/3))**48 assuming u is positive.\nAnswer: u**(-68096\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*k - 6*k. Let r = k + 21. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1147 + -220. What is the greatest common factor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a261 + 10e0?\nAnswer: b351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c + 5. Let q be g(-5). Sort 21, 5, q, 0.\nAnswer: q, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 5959850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5706850.9 to the nearest 10000.\nAnswer: 5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 4 = 0. Let t = 919 - 526. Is (t\/9)\/(r\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.0663\nAnswer: 0.1989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 10. Let c(l) = -l**2 + 3. Suppose 0 = -5*o + o - 4. Let d(i) = -13*i**2 + i. Let x be d(o). Give x*c(k) + 4*b(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*x = -134, -x - 138 = -4*v + 6*v. Let i = 81 + v. Suppose -i*y = -6*y. Solve 2*z - 5*b - 24 = y, z + 3*b = 2*b - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/135 and -9 + 26 + -7 - 5673\/540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 173 = 1495. Let b = -294 - s. Let n = b + 374. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**2. Let i(z) = -24*z**2 + 73*z**2 - 27*z**2 - 13*z**2. Determine i(y(t)).\nAnswer: 900*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfrbsfz. Give prob of sequence vzf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**2 + 25. Let w(s) = -19*s**2 - 20. Let u(p) = -4*c(p) - 5*w(p). Let g(l) = 9*l - 2. Give u(g(d)).\nAnswer: 1215*d**2 - 540*d + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 - 4*l + 5. Let x = -5 + 0. Let r be d(x). Let s be (112\/12)\/((-1)\/r). What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 2*sqrt(468) + sqrt(468) + sqrt(468) - sqrt(468) - sqrt(468))*5)\/sqrt(9) - 4*(sqrt(52)*-1*4)**2.\nAnswer: -3328 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91 or -92?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovq when three letters picked without replacement from {q: 4, o: 2, v: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 1, a: 1, u: 2}. Give prob of picking 1 u, 2 n, and 1 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 383588261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5203 + -5876. Let d = -6623 - -4589. Let j = f - d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11930 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -114123 (base 5) to base 4\nAnswer: -1003000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794220 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 56. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/174*(176\/(-55) + 8). Find k, given that x*k**2 - 4\/5*k**3 - 4\/5*k**5 - 2*k**4 + 2\/5 + 8\/5*k = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -0.3.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12\/5)*w**(12\/11))\/((w*(w\/w**(2\/15))\/w)\/(w\/(w\/(w**7\/w)))) assuming w is positive.\nAnswer: w**(631\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10741 and 276?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (-1 - -4) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7884059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12127 is divided by 202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:49 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 268.3793kg?\nAnswer: 268379.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10136544 is divided by 1126254?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**3 + 0*x**3)*(-4*x + x**2 + 4*x) - x**5 + 0 + 0 + 6*x**5 - 3*x**5 - 4*x**5 + (3 + 18 + 10)*(-5*x**5 + x**5 + 5*x**5).\nAnswer: 33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157519 or -157308?\nAnswer: -157308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 884420363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n + 1. Let f(q) be the first derivative of q**6\/360 + 19*q**3 + 47. Let r(o) be the third derivative of f(o). What is l(r(k))?\nAnswer: 9*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 13037.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 64. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-7)*(-42)\/(-18)*3. Put -40, 3, o in descending order.\nAnswer: 3, o, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/((-6)\/3))\/(-1 - -2). Suppose b*o - 659 = 4*o - q, 3*o = 4*q + 679. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 2. Let x = -52582.800004 - -52583. Let m = z + x. Round m to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (14\/4 + -4)\/(1\/(-48)) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841339?\nAnswer: 19, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.393 - 0.393. Sort -2.36, p, -1 in decreasing order.\nAnswer: p, -1, -2.36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*c - 12, 0 = -10*c + 11*c + 3*s - 11. Let p = -1 + 1. Solve v = 3*v - 4*a - 8, -c*v - a + 20 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0885596194 to 3 decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + 0 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 219? (a) 0.1 (b) 2\/11 (c) -2\/13 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 655 and 1062967.\nAnswer: 1063622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 4*m = 58, -2*m + 12 = 5*b + 39 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 5*m + 10. Let k be x(-3). Solve 4*h + k = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4046304.5 days to weeks.\nAnswer: 578043.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24084772.\nAnswer: 2, 23, 261791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 3, 5\/3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 divided by -1.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**5\/5 - f**4\/4 + 7*f**3\/3 + f**2\/2 - 6*f + 91. Determine s so that h(s) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 33 = n, 0 = -3*o - 3*n - 2*n + 51. Let l be -2*9\/o*682\/(-33). Let c = 64 - 33. What is the highest common factor of l and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -0.1 (c) 0 (d) -162 (e) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 15229*l**2 - 57896760*l + 638708400.\nAnswer: -(l - 11)*(l + 7620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 156832 divided by 45\nAnswer: 156832\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11553359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 685318280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 2, y: 3, c: 10, j: 3}. What is prob of picking 2 h, 1 u, and 1 j?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.73 >= 7209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from wwvwwwwwwwvw.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7812\/(-14322))\/((-3)\/8*(-1)\/(99\/(-12)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -712423130*i**6 + 87299200*i**2 wrt i?\nAnswer: -85490775600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let y(o) = -3*o - 2. Let q(p) be the third derivative of p**5\/60 - 11*p**4\/12 + p**3\/6 + 63*p**2. Let b be q(22). Determine b*y(c) + 3*m(c).\nAnswer: -6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/23454?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 less than 0.3?\nAnswer: -133.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 225311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g - 103*g + 405 + 423 = 0. Suppose -4*j - j + 2*c - 12 = 0, -j = 4*c - 2. Put 1, 38, g, j in descending order.\nAnswer: 38, g, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.1 (b) 1\/3 (c) 1 (d) -0.21 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21122210011102 (base 3) in base 15?\nAnswer: -555e6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1)\/((-3)\/(-15)). Let r be (-2)\/(-2 + j - 2). Let c be r\/(-10)*(0 - -2). What is the second biggest value in -2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 20, 0.\nAnswer: -4, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - o + 3*o**2 + 5*o + 11 + 0*o. List the prime factors of i(-5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 44*c**2 - 330*c - 353. Determine i(34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/59 - 274\/767. Suppose -110 = 3*u - 8*u. Suppose 5*j - 10 = -3*s + 8*s, 4*j + u = -2*s. Which is the nearest to r? (a) -0.2 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4012 by 93.\nAnswer: 4012\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*z**5 + 98840*z**3 + 1722854*z wrt z?\nAnswer: -520*z**3 + 593040*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*q - 3168 = 225*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 - 2*s - 2. Let m be q(2). Let x = 47 - m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1388 + 831. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-28)*1\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 132, 76 in decreasing order.\nAnswer: 132, 76, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*w + 31*w - 190. Calculate the remainder when w is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*w - w + 405. What is the remainder when 53 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/44460 and -1\/19050.\nAnswer: 28232100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*s - 1 - 15, 6*m + 6*s = 9*m + 138 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 9 + 19. Let z(k) be the second derivative of -k**4\/12 + k**3\/6 + 3*k**2\/2 + k. Let a(t) be the first derivative of z(t). Calculate a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - (7 - (-11 - -15))) + -9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109736 - -9110. Let m be -5*(-1)\/10*-383252. Let l = m - b. What is l rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 4082 - 3986 - 6*w.\nAnswer: -3*w + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42695 - -102994. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 316*n**3*q*z - 3*n**3*z - 789282*n**3 - n*z - n + 1457834*q*z - 28*z wrt q?\nAnswer: 316*n**3*z + 1457834*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w**2 - 2*w + 4. Let n be f(2). Let g = 3 - 57. Let a = 126 + g. What is the highest common divisor of n and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (2 + -3 + 2). Let o = -25 + 23. Which is the nearest to n? (a) -3 (b) 3\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 3*i - 67 = -3*f, -5*f - 2*i = 63. Let l(w) = w**2 + 7*w - 16. List the prime factors of l(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(5\/3))\/((b**(-9)*b)\/b))**(3\/11)\/((b\/(b**(-1)\/b))**50\/(b\/(b*(b*b\/((b\/b**(1\/2))\/b))\/b*b)*b)**(-33)) assuming b is positive.\nAnswer: b**(-2161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - z - 40 = 31, -s + 3*z + 29 = 0. What is the closest to -11 in -1\/3, s, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 1600, 3595, 6388, 9979, 14368, 19555?\nAnswer: 25540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -416800 equal to 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)\/(r*r**(-2\/13)))\/(r**(1\/23)*r**(-6)\/r))**(-45) assuming r is positive.\nAnswer: r**(-86700\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 54*(-333)\/(-816). Let c = -330\/17 + z. Calculate the common denominator of c and (-2)\/6 - (-7)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -231\/5? (a) -1\/2 (b) 3\/8 (c) 1\/2 (d) 0 (e) -0.4 (f) 226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-2 - 1613\/(-3)). Let w = 22921\/42 - m. What is the common denominator of 0 - (-552)\/(-702) - (-17)\/306 and w?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 + 5. Let z be p(-3). Let q = 76 + z. Calculate the smallest common multiple of 8 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 70 = -18*x - 8*x + 230 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3061231, 3061234, 3061237, 3061240, 3061243, 3061246?\n\"Answer: 3*v + 3061228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 14 - 17. Suppose 0 = 4*q - 9*q + 40. Let i = 57 - 50. Solve -q = v*n - i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1635354924 and 1932?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 + 5*w**4\/12 + w**3\/6 - 2*w**2 + w. Let p = 1038 + -1042. What are the prime factors of m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 9*n**2 + 0 - 5\/6*n**3 + 0*n**4 + 0*n + 1\/6*n**5. Differentiate y(w) wrt w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 + 9*f + 18. Let a be k(-4). Let u(h) = -2*h**3 - 4*h**2 + 2*h**2 + 2*h + 1 + 0*h. Let d be u(a). Solve y + 3 = 2*z + d, 0 = -3*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 8*f**2 + 11*f + 14. Is 26 a factor of t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 11. Let x be g(-20). Let w = -29 + x. Let s = 0 - -4. Solve -i + 2*h + 5 = -3*h, -10 = -w*i - s*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 31*w**5\/20 + w**4\/6 + 46*w**3\/3 - 1184*w. Find the third derivative of g(z) wrt z.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 0*z**2 + 5*z**2)*(0 - 1 + 5) + (-2*z + 3 - 3)*(z - z + 2*z) + 2*z**2 - 8*z**2 + 2*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = -y, 628*y + 2*t = 627*y + 23. Solve -y - 13 = 4*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3\/3 + 9*z**2\/2 - 10*z + 991. Calculate t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437 + 610*f**2 - 437.\nAnswer: 610*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78, -90, -102, -114, -126, -138?\n\"Answer: -12*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -20*r - 27. Let v be u(-9). What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 44\/15 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2472674 is divided by 3888.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - x + 4. Let m(l) = l - 1. Let y be (-3)\/((-28)\/16 + 1). Let z be m(y). List the prime factors of h(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6)\/(-27)*-2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -9, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45199\/32285)\/((-7)\/(-520)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2 + sqrt(176) + -1 + (sqrt(176)*-2 - sqrt(176)) + sqrt(176) - (sqrt(176) - (5*(sqrt(176) + -3 + sqrt(176)) + sqrt(176)))*4) + -5)**2.\nAnswer: -22152*sqrt(11) + 272737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f - h, -4*f - 5*h = -3*f - 14. Solve 0 = 4*j - 4*u - 8, 4*j + 9*u + 37 = f*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(612) - (-1 + sqrt(612))) - (-2 + (0 + sqrt(612) - sqrt(612))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -k + w, 5*w = -0*k - 3*k - 158. Let l = k - -177. What are the prime factors of l?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6 + 3 - 2 - 3*k + 2 + 4*k**2. Does 21 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3943 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p*p**(-17))\/p)\/p)\/p)\/p*p*p\/(p\/(p\/p**17))*p*(((p\/p**(-6)*p)\/p)\/p)**(-31) assuming p is positive.\nAnswer: p**(-219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2357\/4 + -589. What is the biggest value in 0.3, -0.2, -69, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + 1.02.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/54719 + -4215208\/20191311. What is the common denominator of b and 2\/3?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*w - 1045 = 973*w + 16577 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1\/60*q**5 - q**3 - 46 + 0*q + 45\/2*q**2 - 1\/4*q**4. Let s(j) be the second derivative of g(j). Determine s(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/665?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 = -2*y + 5*s, -179*s + 182*s - 3 = 0. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y\/(y*y**(-5))*y))*y**16 assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, i: 13, w: 2}. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/3 - -3)*-3. Let v = s - 20. Let q = 2 - v. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3519*w**2 + 13*w + 30. Let s be k(-2). Round s to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11568 and 2928.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51294.051 rounded to the nearest ten?\nAnswer: 51290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*u - 1 = 2*u, -2*f = -5*u + 8. Let c be (-2)\/(-4) - 3\/(-2). Sort f, c, 4.\nAnswer: f, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**5\/80 - k**4\/6 - 2*k**3\/3 - 15*k - 8. Let d(f) be the first derivative of l(f). Determine i so that d(i) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.730846 rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4416 = 696*m + 13464 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 354 = 305 - 197 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15333*d + 3566*d + 3255*d - 12557*d in the form s + y*d and give y.\nAnswer: -21069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 11728*r - 34386496.\nAnswer: -(r - 5864)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -21*q + 4. Let i = -3 - -5. Suppose -i*o - 6 = -4*o. Solve -o*g - q = 2*g + d, 2*g + 2*d = -8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 - 1. Suppose -276 = -2*p + 4*n, 2*n - 726 = -5*p - 0*n. Let s = -145 + p. Give i(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10289719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62808 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19965 + 21107. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/147*9*7)\/(64\/(-352)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 2 + 5*r + 0*r. Let s(w) = -4*w + 2. Determine 4*s(f) + 5*y(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -77?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8279.\nAnswer: 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 61*g - 13. Let x(s) = -s**3 + 4*s**2 + 19*s - 5. Let n be x(7). Is 48 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1032265342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - (-42)\/8)\/((-360)\/192). Let u be (-2)\/(-3) + 10\/(-18). Which is the nearest to -0.04? (a) x (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 314 - 150 + 169*t**2.\nAnswer: 169*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 1\/(121\/495 + (-2)\/9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 536265708 by -5.\nAnswer: -536265708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44691450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 10. What is u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(272))*-6 + (1 + sqrt(1377))*5)**2.\nAnswer: 714*sqrt(17) + 7786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175401, -174071, -172741, -171411?\nAnswer: -170081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - 15\/(-9). Let r be (-1)\/(2*m\/2). Let y(n) be the second derivative of n**3\/6 - n**2\/2 - n. Let a(j) = -4*j + 2. What is r*a(c) - 2*y(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {s: 2, c: 4, h: 3, g: 4, b: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 482.5851 hours?\nAnswer: 20.1077125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-54))\/((78\/36)\/13)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 142155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 25210 - 6304. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1527 divided by -1107\nAnswer: 509\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -773a3 - 31?\nAnswer: -77404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + 432088. Suppose r + t = -2*t + 149981, 4*t = 3*r - 449930. Suppose r = -6*w - o. Round w to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10 + 46*d + 49*d + d**2 - 100*d. Give j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134 + 133.9. What is the nearest to m in -5, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s*s\/s**8*s)\/s)*s*s\/(s**(-6\/7)*s))\/(s*s*s\/s**(-5\/4)*s**(-12)) assuming s is positive.\nAnswer: s**(437\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(4\/8*1). Solve -9 = -q*u - u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 240\/5*(-12)\/(-9). Let f = -57 + z. Suppose 0 = f*k - 404 - 709. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -436*n**3 - 22*n**2 + 39*n + 18. Let k be d(-12). Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.234395 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 10)*(6 + 7*i - 22 + 25) to the form j + g*i and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31.2 and -31.\nAnswer: -62.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 15, n: 3}. Give prob of sequence nnz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -798 by -19.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05544 and 0.082017.\nAnswer: -0.00454702248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*r + 6519 = -88*r - 111*r + 289*r for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 1076?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -92. Let p = -21 + j. Solve -2*c = 2*u + p + 4, -c - 2*u = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1355, 1295, 1197, 1061?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(-10*(-4)\/(-96))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 3 - 5)\/2. Is 4\/(-8)*139*s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + c**2 - c. Let x(l) = 5*l**4 - 27*l**3 - 726*l**2 - 2694*l. Let m(a) = -6*b(a) - x(a). Factor m(v).\nAnswer: -5*v*(v - 15)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 17?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 324\/(-20) + (9 + 1)\/50?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f - 2 - 5*f**2 + 3*f**2 - 4*f + f**2. Let o be v(-3). Solve 4 + o = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.7 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8\/7 (b) -2\/3 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2241*s - 214*s + 1314*s.\nAnswer: 3341*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v. Let x(w) = 387*w**2 - 201*w**2 - 208*w**2. Give a(x(n)).\nAnswer: 154*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 5\/36 (b) -1\/10 (c) -1 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31667, 63385, 95103, 126821, 158539, 190257?\nAnswer: 221975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9369 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 7*l**2 + 22*l - 48. What is k(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 629\/148 - (18\/21)\/((-12)\/(-63)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 10. Is k(5) 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 {j: 3, z: 2, m: 7, s: 1, q: 1}. What is prob of sequence qz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let k(q) = q**2 - 9*q - 13. Let a(v) = 3*i(v) - k(v). Let t be a(10). Solve t = -0*m - m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 38*p + 199. Calculate q(31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let x(l) = -362*l**2 - 9*l**2 - 187*l**2 - 174*l**2 - 130*l**2. What is i(x(z))?\nAnswer: 1724*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/1135, -17, 3 in increasing order.\nAnswer: -17, -22\/1135, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 63*w**2 + 48*w + 527. Determine q(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 830, 1609, 2312, 2915, 3394, 3725, 3884?\n\"Answer: -4*j**3 - 14*j**2 + 849*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1743 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 51. Let k(r) = -2*r. Calculate k(d(s)).\nAnswer: 4*s - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474180 and 3360.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 13. Let o be 2938\/(-4) + (-1 + 13)\/(-3). Let s = -739 - o. What is the closest to -1 in 5, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.485243478 to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3*18\/(-8). Let q = -0.2 + 0.13. Let h = q + -0.13. Which is the second biggest value? (a) h (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3528 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -15*m**3 - 36*m**2 + 29*m. Let n(x) = 4*x**3 + 9*x**2 - 7*x. Let p(u) = 3*i(u) + 11*n(u). Let p(d) = 0. What is d?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xquunxffuu. Give prob of picking 3 q and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1, -2, -12151773?\nAnswer: -12151773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11765968 and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:07 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 139*h - 8652. Is l(109) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Suppose 0 = -10*s + 14*s. Let k(u) be the third derivative of 4*u**2 + s*u**3 + 1\/4*u**5 + 0 + 0*u**4 + 0*u. Calculate k(b(f)).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - f + 7*f - 5*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 5*p**3\/3 - 9*p. Let l(s) = 4*s**2. Calculate z(l(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p + 14. Let d be u(0). Let f be 270\/(-30)*14\/(-6). What is the second derivative of 13*a - 17*a**4 + 10*a**4 - f*a**4 + d*a wrt a?\nAnswer: -336*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k**3 - 7*k**2 + 7*k + 13. Let l(i) be the first derivative of 7*i**4\/4 + 4*i**3\/3 - 2*i**2 - 7*i - 10. Let b(o) = -11*l(o) - 6*q(o). Give b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g - 2*h = -24, -3*g + 18 = 2*h. Let d = g + -11. Let n(v) = 2*v + 5. Give n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*p*v**5 - 52517*p*v**2 - 1781171*p*v wrt v.\nAnswer: -340*p*v**3 - 105034*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2 + 6*q + 29. What is the units digit of r(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*2\/4 + 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51731 - -1170?\nAnswer: 53121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*2\/(-2)*1. Solve a*u - 12 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 34\/16)\/(1\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**7)*u*(u*u*u\/((u**(3\/2)\/u)\/u)*u)\/u*u*u*u**(-2\/35)*u**(1\/5)*u*u*u assuming u is positive.\nAnswer: u**(233\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/150 + a**4\/60 - a**2 + 3*a. Let u(z) be the first derivative of q(z). Factor u(m).\nAnswer: -2*m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Let p = -14 - j. Let d = p + 50. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3726680, 3726692, 3726706, 3726722, 3726740, 3726760?\nAnswer: 3726782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 81c5?\nAnswer: 81c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 + 6*l - 3. Let r be k(-6). Let g be r*3\/6*-2. Suppose 0 = 4*d + 5*c - 73, d - 6*d = g*c - 88. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -10*i + 2*i. Suppose -i*f = -4*f - 9. Suppose 5*h = f*p - 117, 5*p - 4*h - 106 = 76. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 13*q**4\/4 + 28460*q. Let l(k) = 4*k**2. Let g(n) = 4*n**2. Let y(d) = 3*g(d) - 4*l(d). Calculate c(y(f)).\nAnswer: 624*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -104. Solve 0*l = j*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20828 times -0.982?\nAnswer: -0.20453096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-2)\/4. Suppose -3*p - 1 = 4*y + 9, -5*p = -3*y + 7. Sort m, p, 0.4.\nAnswer: p, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2015*k**3 + k**2 + 1559?\nAnswer: -6045*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001011 + 100100101101101010?\nAnswer: 100011111101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3894, 32151, 109608, 261105, 511482?\nAnswer: 885579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 581*r - 8153. What is o(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (17687\/(-7)*2)\/(229\/(-1603))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1506, -3866, -7006, -10926?\nAnswer: -15626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1773*y**2 - 2*y - 1772*y**2 + 2*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and 46140603412.\nAnswer: 46140603427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142926*a*f**2*n + a*f**2 + 3*a*f*n + 2*a*f - 77*a*n + 1169*f**2*n + 7*f*n + f - 4485 wrt f.\nAnswer: 285852*a*n + 2*a + 2338*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10450 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c. Let s(a) = -2 + 0 + 3 + a. Let d = 3 + -5. Determine d*s(o) - i(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 8*o - 105. Let j(f) = 14 + f**2 + 0*f + 0*f - 3*f. What are the prime factors of j(o)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3378485 and 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 6 + -3 - 5) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, k: 1, j: 2, m: 2}. Give prob of sequence jwkw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/443926 and 23\/221963.\nAnswer: 443926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**5 - 2*i**3 + 6948*i**2 + 2*i + 339794 wrt i.\nAnswer: 60*i**3 - 12*i + 13896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 - 597051*p + 5970810 = 0?\nAnswer: -199027, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2\/2 - 8. Let h(a) = -2*a + 3. Let f(p) = 3*p - 5. Let d(i) = 3*f(i) + 5*h(i). Calculate z(d(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -237*v + 91. Let m be x(7). Round m to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/20)\/((-2)\/(-5)). Let g = 16 + -11. Suppose 0 = -q*y + g - 1. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 20*v + 16. Calculate h(11).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-3\/2)\/g*g)\/g))\/(g*g**(-9)*g)*g*g\/(g*g\/((g*(g**(-3)*g)\/g*g)\/g))*(g*g**5)\/g assuming g is positive.\nAnswer: g**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73234 and -10.\nAnswer: 732340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320929965*d**2 - 147233*d + 78 wrt d?\nAnswer: 641859930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17015920893 + -4\nAnswer: -17015920897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9108\/1265*(30\/(-40) - (-34)\/(-8))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1687 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 88\/(-10)*30\/(-6). Let i = -21 + v. Let q = i - 20. Solve -2*k - 5*u = -15, 4*k = -0*u - u + q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*4\/(-16)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470 - 157 - 214 + 321)*(4*h + 3*h - 5*h).\nAnswer: -1040*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1422272\/39 - 108644\/3. Let p = 254 - s. Is p < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - (-13 - -21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2647*j**2. Let k(u) = -4*u**2. What is k(i(r))?\nAnswer: -28026436*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 2 + (-2*sqrt(1960) - sqrt(40))\/(sqrt(512)*1)).\nAnswer: -15*sqrt(5)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2)\/(-12)*(-19 - -3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -263*h - 11. Suppose 4*g + 0*g = 32. Suppose 10 = -p + n, -g*n + 34 = -3*p - 4*n. Is x(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 2898.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) 2 (d) 13 (e) 18.1 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.021469\nAnswer: 0.064407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -4. Let t = 5.65 + -5.85. Which is the nearest to t? (a) 2 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 6*w - 6. Let r(g) = 3*g**2 - 5*g - 5. Let h(d) = -5*m(d) + 6*r(d). Let u(o) = -33*o. Determine u(h(n)).\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -84, -36, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 + 4 + x**2 - 3*x + 1 - 4*x**3. Suppose 4*j + 3*j - 35 = 0. Let c be u(j). Calculate the greatest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29457 - 29477. Which is smaller: h or -0.316?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-822620443881\nAnswer: -822620443880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/25, -4, 0.35, 0.1, -2.42?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(-2*sqrt(300)))\/(-5*sqrt(288)*2).\nAnswer: sqrt(3)\/2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1119632, -1119631, -1119630?\n\"Answer: i - 1119633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04423 - -4.95577. Sort -1, a, 21, -0.4 in descending order.\nAnswer: 21, a, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/16 - -9\/16. Suppose 22*p - 22 = 11*p. Let k = 335 + -10387\/31. What is the closest to k in p, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-129)*15\/2*84\/140.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/341 (b) -2\/15 (c) -0.16 (d) -0.2 (e) 2 (f) -0.059 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-193)\/1 - (51 + -54). Let o = t + 195. What is the closest to -11 in 3, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 - 109. Suppose 4*p + 6 = -2*w - 2, 2*p + 8 = 0. Suppose -b = -2*s + 3*j - 19, -2*s = w*j - 6. Put -5, -1, s in decreasing order.\nAnswer: -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -1882, -3886, -6546, -9778, -13498?\nAnswer: -17622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**3 - 2*i**2 + 2*i + 6. Let n(l) = -l**3 - 32 + 15 + 16. Calculate -d(s) - 6*n(s).\nAnswer: s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/10)*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 58879*a**2 + 59633*a**2.\nAnswer: 754*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*c - 23*c + 27*c)*(817 - 817 + 9*c + 15*c**2).\nAnswer: 2520*c**3 + 1512*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 27676581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*n + 54. List the prime factors of 16\/2 - n*(-2)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*q + 304*q + 912*q - 42672 = 0 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 4. Let y be f(3). Let h(z) = -155*z + 8. Let a be h(0). Let q be (-613)\/y + (-12)\/a. Round q to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 87*y**3 - 110*y - 53 + 110*y wrt y.\nAnswer: 261*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 30 = 2*v - 8, -2*o = 4*v - 48. Let r = -11 + o. Solve -6*z + r*z = p - 16, -2*z = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5*a - 5. Suppose -a*h = -0*h. Solve -4*b - 9 + 29 = h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 868 = 62. Suppose -5*s - 3*j + 607 = 0, 5*s - d = 3*j + 427. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469015 is divided by 4398.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40301 or 40297?\nAnswer: 40301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, p: 1, i: 1, v: 1, a: 1}. Give prob of sequence avp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800 and 449725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k = 21*k - 2546. Let q = k + 134. Solve q = 5*l - 2 - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 207\/(-15) + (-8)\/40. Let s be (9 + -10)\/(2\/u). Solve 3*k - s*k = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527.51291 rounded to the nearest integer?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 9*q - 15. Determine l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39562 in 4, 1\/7, 0.1, 0.8, 1\/6, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(72)*-2*-6)\/sqrt(3))\/(sqrt(200) + -5*-2*sqrt(200)).\nAnswer: 12*sqrt(3)\/55 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 2*m + 2. Let v be t(1). Let u = 0.52 - 25.52. Are u and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 - 74 + u**3 + u**3.\nAnswer: 2*u**3 - 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -131. Solve -3*w - 9 = o*i, -3*w = -2*w - 2*i - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 300 - 130. Suppose 0 = -f + 4*g + b, 0 = -4*f + 6*g - 2*g + 656. Suppose -9*c + f = -162. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27175 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -9*u + 5*h, 13*u - 42 = 11*u - 2*u - 5*h + 43 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54149886?\nAnswer: 2, 3, 7, 19, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 54*k - 59. Calculate j(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 5*j - 47. Let d(y) = -y**2 - 2*y + 16. Let q(v) = 17*d(v) + 6*t(v). Let f be q(6). What are the prime factors of (-23)\/f*2\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:04 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 - -1 - (-81 + 78))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2*h**2 - 4*h**2)*(17*h + 6*h - 9*h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -7417, -59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 14*t**2 - 34*t + 34. Give q(-16).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -561\/7 - -80. Let x = 10\/99 - -7979\/396. Find the common denominator of w and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*m**3 + 90415*d**3*m + 3*d**2*m**4 + 2*d**2*m**2 + 6114*m**4 wrt m?\nAnswer: 18*d**3 + 72*d**2*m + 146736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 7, 1, 21, 32, -122.\nAnswer: -122, -15, 1, 7, 21, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(70) + ((2*sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70))) - sqrt(70))\/(-1*sqrt(50)))\/(2*sqrt(343)*-2 + -1*2*sqrt(343)).\nAnswer: -13*sqrt(5)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/4 (b) -0.2 (c) -0.045 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 37*f - 1 - 3 + 85*f. Let p be s(-8). Round p to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 51732 - 52587. Solve -5*c = -d - 21, 5*c - 29 = v*d - 96*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33245\/(-95))\/109*19\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3492*f - 2296*f + 49 - 47.\nAnswer: -5788*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*v + 16476 = -8*v, -2*v = 7*b - 38489. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -64. Let l be -1*(12 + (-6)\/3). Let b = l + h. Calculate the highest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(3 - 5 + 1) + 10 - 36 - 1)*(-b**2 + 19*b - 19*b).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2 + 2 - 2)*(2*h - 2*h + 14*h)*(-5 + 20 + 4).\nAnswer: -532*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 38*a**3 + 4*a**2 + 8*a - 11. Let r(p) = -35*p - 139. Let x be r(-4). What is the remainder when 544 is divided by k(x)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 407*i**2 + 2085*i - 10269. Determine j(412).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-684)*(-861)\/(-10) + -1. Let k = 584\/1995 - z. Let s(c) = c + 9. Let h be s(-9). Is k greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 15. Let l(v) = -v**2 - 4*v - 1. Determine l(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3\/2 - 715*h**2\/2 + 119*h = 0?\nAnswer: 0, 1\/3, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1751976 and 79\/53873262.\nAnswer: 215493048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13569042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3301*k - 2906.\nAnswer: 3301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -68*z + 1635. Calculate q(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -25, -42, -59, -76, -93?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:05 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/z**(1\/42)))*z)\/z)\/z**(-8)*(z**8)**3 assuming z is positive.\nAnswer: z**(1343\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5 - -2) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17557*d**2*s*u**2 + 6*d**2*u**3 + 34*d**2*u**2 + 2*d**2*u + 385231*d*s*u**3 + 2*d*s*u**2 wrt u?\nAnswer: 36*d**2 + 2311386*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2383.26 - 53.74. Let s = g - -2436.99998251. Round s to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 6. Let m be y(-12). Suppose -6*j + 4*j = -m. Let h = 1 + 3. Solve -q - q = -5*b - h, -12 = j*b + 2*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13548419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27, 47, 0.2, 1380?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-6)*(-175)\/(-5) and -56\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*112\/(-6))\/((-106)\/(-8268)). Let a be ((-880)\/14)\/(2\/o). Round a to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189424 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8345611 is divided by 1892?\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21)\/(x*x\/(x*x\/(x*x**(7\/2)))*x))\/(x*x**12*x*x\/(x\/x**(-8\/5))) assuming x is positive.\nAnswer: x**(-389\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 2. Let o be -4*(2 + -2 - 8). Suppose -o = 3*u + u. What is the units digit of f(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9482?\nAnswer: 2, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 705 and 6030.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.95879 minus -10.1?\nAnswer: -414.85879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*3 + sqrt(704) + -5 - sqrt(704)*-1*-3)**2 + (-2*(-5 + (-2*sqrt(11) + sqrt(11))*6 + 1))**2.\nAnswer: 112*sqrt(11) + 2377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 less than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 12) to base 6.\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a**2 + 92*a - 2. Let o(g) = -7*g**2 + 89*g - 2. Calculate 3*o(h) - 4*p(h).\nAnswer: 3*h**2 - 101*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 27*r = 22*r + 1, 5*x - 2*r = 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19273 + 7953 = 5*o + v, -o + v + 5450 = 0. What are the prime factors of o?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70277 or 70270?\nAnswer: 70270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 289*r - 9449. Let m be v(-39). Solve m = -7*h + 3315 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 - 437 = 3*t. Let s = 64 + t. Solve 2*u = s*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -13.5. Let t = z + -11.8. Put -1, 0, t in increasing order.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 0, 0.5 in ascending order.\nAnswer: -1.7, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 + (-1 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 999900928 a multiple of 2678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 144*n + 4891. Determine q(-32).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 764, 1712, 3042, 4754?\nAnswer: 6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3*y**4 - 78*w**3*y - 2*w**3 - w*y**4 + 3*y wrt y?\nAnswer: 24*w**3*y**2 - 12*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/69318 and -1\/2.\nAnswer: 69318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r. Suppose r*c + c = -5. Let d(m) = m**2 + 2*m - 3. What is the remainder when 22 is divided by d(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 1 + 10 = -3*l, 3*m - 13 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321434 (base 8) to base 3.\nAnswer: 200202202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1216 + -1205. What is the highest common divisor of z and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + (-2 - 1) - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 2*n + 4, 2*n + 3 = -m - 3*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + 8*g + 2. Let v(i) = -5*i**2 + 9*i + 1. Let j(h) = -4*p(h) + 3*v(h). Let w be j(7). Calculate the greatest common factor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2246 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 8*t - 3. Let r be g(-5). Let l be 1\/(((-13)\/(-6))\/r). Let o = 0 + 2. Sort o, l, 1 in increasing order.\nAnswer: l, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/84 + d**3\/14 + 5*d**2\/7 + 79*d. Factor j(a).\nAnswer: -(a - 5)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 28*o**2 + 29*o + 71. Let z be c(29). Let f = z - 35. Suppose -45 = -9*s + f. Calculate the greatest common divisor of 36 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 5*s - s - 4*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:06 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*x - 250076138 + 250076138 - x**2.\nAnswer: -x**2 - 219*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/409 - -788\/6135. Let p be (-308)\/84*(3 - (-25)\/(-10)). What is the third smallest value in p, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.046, -1, 3 in increasing order.\nAnswer: -1, -0.046, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-29 + 19 + -25)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 16. Solve 3*g - 1 = -d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 1. Let o = 437 + -303. What is the remainder when o is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 1\/68 (c) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 9. Let n(j) = 2*j - 4 + 3*j + j - 2*j. What is the lowest common multiple of q and n(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*j = 578*j - 7257 for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165\/16 + -103327\/10032. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76433 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - 2*y**3 - 2*y**3)*(-4*y + 0*y + 2*y) + 0*y**4 - 2*y**4 + 0*y**4 - 3*y**4 + y**3 - y**3 - 316*y**4 - 19115*y**2 + 19115*y**2.\nAnswer: -325*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 4. Let x be t(7). Suppose -2*f + 7 = 3. What is the first derivative of x*s**2 - 1 - 4*s**f - s**2 wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 1406.33?\nAnswer: 1383.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37295917 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94.9 + -95. What is the second smallest value in 2\/21, 0.1, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10291 or -10290?\nAnswer: -10291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2366 or 7097\/3?\nAnswer: 2366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*f = -5*c + 19, -3*c - 5*f + 23 = 0. Sort -1, c, 3 in descending order.\nAnswer: 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -2, 178?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14700 divided by 147.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*u - 5*j + 15 = 0, 3*u - j + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 - -48.6. Let a = 38.40171 + y. What is a rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 42, -1 in decreasing order.\nAnswer: 42, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/(w**3\/w)*w*w*w**9*w\/(w\/(w*w**(-8)*w)))**(-3\/8) assuming w is positive.\nAnswer: w**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -353162*h**3 + 11587705*h**2?\nAnswer: -2118972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-4*(sqrt(5) + 2) - sqrt(5))**2 - sqrt(5) - sqrt(5)) - (1*sqrt(3840))\/sqrt(12))*1 + 3.\nAnswer: 70*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 81699254 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00736381 rounded to four dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:51 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*p + 19, 3*p + 5*a + 15 = 4*p. Suppose v - 12 = -5*d, -4*v + 1 = -p*d + 3. Suppose 4*u - 3*f = -4, -36 + 10 = -5*u - 4*f. Is v at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000833222432 to 6 decimal places.\nAnswer: -0.000833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391623 is divided by 13504.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 520822110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16033\/12 + 1337. Calculate the common denominator of (1209\/(-310))\/(648\/315) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-7 + (6 - -6)) - (20 + (7 - 28))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (3 + 1)) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173\/19 - 9 - 52\/133?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13186.77 minutes?\nAnswer: 219.7795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -857 + 856.5432. Let t = -5.849 - -5.379. Let m = t - i. What is m rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21027698 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-277)\/8310*(-1098)\/4)\/(72\/(-30)) and 1\/2*(-26)\/236.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - 50*g**2 + 17*g. Let h be r(-17). Which is the third smallest value? (a) -3 (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404151691*n**2 + 318921695*n wrt n?\nAnswer: 808303382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 381 + 97?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64645.52um to nanometers.\nAnswer: 64645520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537?\nAnswer: 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y. Let w(f) = -1. Let c(h) = v(h) - 5*w(h). Let r(u) = -u + 1. Let z(q) = -2*c(q) + 10*r(q). Let m(i) = -2*i**2. Determine z(m(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:29 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78010 = -d - 541*d - 30*d - 29962 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b)*(2309*b - 2306*b - 379 + 90).\nAnswer: -6*b**2 + 578*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*z**6 - 2608*z**4 - 2*z**3 - 15*z**2 + 28*z + 6218?\nAnswer: 5400*z**3 - 62592*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 - j**3*x**2 - 72*j**3 - 2*j**2*x - 106*j*x + 2*x**2 wrt j.\nAnswer: -24*j - 6*x**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 3*c - 1. Let u be t(-5). Let l(b) = 11*b + 12 + b**2 - 2*b + 2*b. Let q be l(u). Solve 0*r - 3*r = -q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-2)\/(-1))\/14). Let z be (-16)\/(-44) - (-195)\/1430. Is v > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13966400, -13966393, -13966396, -13966415, -13966456, -13966525, -13966628, -13966771?\n\"Answer: -p**3 + p**2 + 11*p - 13966411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1491260187891.\nAnswer: -1491260187890.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: dcf12 (base 16) to base 15\nAnswer: 12d21d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = x + 7, -2*x + v - 1 = -2*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 16*b**2 + b + 8. Let n(w) = w**3 + 11*w**2 + 11*w - 7. Let d = -78 - -68. Let k be n(d). What is the hundreds digit of y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - 2*g + 2*g)*(4*g - 1 + 6*g - 34*g) to i*g + z + j*g**2 + m*g**3 and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/16301 or -8\/9?\nAnswer: 13\/16301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/3 - 1. Let d(g) = -1 + 2 - 2. Let s(q) = q + 1. Let v(r) = 4*d(r) + 4*s(r). Calculate v(c(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115215 by 5.\nAnswer: -23043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2448) + -3 + (sqrt(2448) - sqrt(2448)*-2)*4)**2.\nAnswer: -1080*sqrt(17) + 550809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3\/5 + 17047292*y**2\/5 + 13637824*y + 68189104\/5 = 0. What is y?\nAnswer: -4261819, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 1970*c**2 + 63445*c - 222580 = 0. Calculate c.\nAnswer: 4, 31, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 503*h + 6*h**4 - 165 - 37*h**3 - 6*h**2 + 165 + 73*h + 7*h**2 wrt h?\nAnswer: 144*h - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 47 = 4*y, -2*y + 25 + 5 = 2*l. Let i(w) = -15 - 23 + l*w**2 + 41. Let a(m) = -9*m**2 - 2. Calculate 7*a(f) + 5*i(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g. Let z(h) = 118877*h. Determine z(x(w)).\nAnswer: -713262*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 38*z - 1. Let a be m(1). Let x = a - 17. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 11:57 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*q - 1)*(q**2 - q**2 - 2*q**2) + 3*q**3 - q**2 + q**2 - 139*q - 159*q - 2*q**2 - 11*q**3 + 299*q to u + l*q**2 + o*q**3 + y*q and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 11 = 539 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -82548, 5, 11 in increasing order.\nAnswer: -82548, -6, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7336551613 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 1, -19, 0 in descending order.\nAnswer: 9, 2, 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 119359525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1989931. Let y(t) = -2*t. Give j(y(l)).\nAnswer: -2*l + 1989931","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 10966?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15986.\nAnswer: 2, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from afqqsxa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 113 - 60 + 4*f**3 - 2*f**2 - 49 + 2*f**3 to r*f**3 + d*f + z*f**2 + y and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893852181 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2922.519um to centimeters.\nAnswer: 0.2922519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**2 - 152*v**4 - 376 + 58*v**5 + 522 - 61*v**5 wrt v?\nAnswer: -180*v**2 - 3648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 3*w - 1. Let m(q) = -7*q**2 - 7*q - 1. What is 2*m(n) - 5*x(n)?\nAnswer: n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 20. Let f be 1\/(-3) - 49\/q. Let m = f + -11. Solve 0 = 5*v + b - m, -b - 10 = 2*v - 3*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-824286)\/(-12) - (-1)\/(-2 + 0). What is j rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1353 - -3311. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*m = 3, 23*k + 4*m = 22*k - 9. Solve -4*i + 2*u = 14, 4*i + u = k - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -610847257*t - 697020983 with respect to t.\nAnswer: -610847257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11789292*g**2 - 5894652*g**2 - 5894639*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148725, 149319, 149917, 150519?\nAnswer: 151125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**2 + r**2 - r**2 - 3*r**3 + 4*r**3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1696, -3394, -5092?\nAnswer: -6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**7 - 4*l**6\/3 + 171*l**3 - 525. Find the third derivative of a(u) wrt u.\nAnswer: -840*u**3 - 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-908)\/(-224) - 2) + (-14)\/49. Let i = z + -11\/56. Find the common denominator of i and -61\/93.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 1. Let b = -16 - -36. Let x = w + b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 2477, 5559, 9873, 15419?\nAnswer: 22197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y. Let g = 123 - 89. Let z(r) = 2 - 2 + 32*r - g*r. Determine z(x(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -4\/29, -32469?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137322, -137321, -137320?\nAnswer: -137319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028598?\nAnswer: 2, 3, 251, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93 and 0.69134456.\nAnswer: -92.30865544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 730522 from 1.4.\nAnswer: -730520.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -18 - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3264 = 12*c + 336. Let o = -13 + c. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -877 - -879. Differentiate 7*k**2 + 17*k**x + 24*k**2 + 9 + 22 - 6*k**2 wrt k.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 9 = 23. Suppose -3*y - 4*d = -13, -34*d + h = -y - 29*d. Solve -42 = -y*p - 45 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:01 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b + 14. Let k(j) = -j**2 - 38*j - 48. Let w be k(-37). Let u(d) = 18*d + 40. Let l(x) = w*v(x) + 4*u(x). Determine l(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 2*y - 12. Let w(d) = 3*d**2 - d - 12. Calculate 3*w(u) - 2*x(u).\nAnswer: u**2 + u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 814 + 58 = 0. Let g = u + 192. What is the greatest common factor of 44 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/389992 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/7)*b**8*b\/b**(7\/2)*(b**(1\/3)\/b)\/b assuming b is positive.\nAnswer: b**(191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/((14\/(-7))\/4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - 3*k)*(-2*k**2 + 2*k**2 - k**4) + 3*k**5 - 10*k**5 - 8*k**5 - 13*k + k**5 - k**4 + 40*k - 26*k + 9.\nAnswer: -15*k**5 - k**4 + k + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1844.509 + 1825.2. What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -401 or -404?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11 - 41 = 0. Let w = -40 - -28. What is the remainder when 34 is divided by (-82)\/m + 8\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - x + x + (-5 - 3 + 0)*(x**3 + 0*x**3 + 2*x**3) in the form l + a*x + w*x**2 + u*x**3 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 2*k)*(-10*k**2 - 2*k**2 + 5*k**2)*(4*k - k**2 - 4*k).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/4 - (4 - 5) - -4. Let u(w) = -w**3 - 2*w**2 + 6*w + 15. Let a be u(j). Solve -7*r = -4*g - a*r - 4, 0 = -g - 2*r - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3031*z + 27120. What is g(9)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v - v)*(-2 + 5 - 2) - 3495*v + 6177 - 6177.\nAnswer: -3497*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 682 = 778 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Let x(f) = f**3 - 5*f**2 + 6*f - 2. Let w be x(q). Let z = 69 + -27. What is the greatest common factor of z and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)*(-4)\/(24\/(-57)). Let t be -3 + (w - (-4 - 1)). Let d(b) = 2*b**2 + 34*b + 7. Let l be d(t). What is the highest common factor of 28 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 112*t. Let d(u) = 2*u**2. Give d(j(i)).\nAnswer: 2*i**4 + 448*i**3 + 25088*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:14 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 4311630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 84.988. Sort 3, n, 0.1.\nAnswer: n, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*y - 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 46*l**2 - 127*l + 210. What is w(-43)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 2*c)*(-6*c**3 + 3*c**2 - 3*c**2)*(-1 + 1 - 2)*(7 - 1 - 3).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*b = 24, 6*b + 10 = b. Solve 7*f + h = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*z + 14 + 3 = 0, -4*z = -12. Let k be 4\/(-3 + w + 3). Solve s - k = -6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*n**3 - 312*n**2 + 640*n - 384.\nAnswer: 4*(n - 6)*(3*n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 103 (c) 942 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -20*k - 724. Let q(m) = 23*m + 721. Give 7*d(t) + 6*q(t).\nAnswer: -2*t - 742","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5059 != 233\/437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*g - 1 = -16, 15 = -3*z - 2*g. Let q = z - -9. Suppose -2 = -3*h + q. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13077 and -13074 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) -2\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.5 (c) 4 (d) -0.1 (e) -423\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.2 (b) -0.02 (c) -3 (d) -33 (e) 34.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + i. Let c be s(-2). Let l = 6 - c. Solve l*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)\/p**(1\/5)*(p**(2\/5))**36)\/((p*(p*p**(2\/5)*p*p)\/p)\/p**(8\/3))**(-10) assuming p is positive.\nAnswer: p**(3523\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22907, -36980, -51051, -65120?\n\"Answer: y**2 - 14076*y - 8832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (19 - -1) + (0 + -20 - (205 - 221))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 4*t - 148272. Let h(d) = -5*d. Calculate h(y(l)).\nAnswer: -10*l**2 + 20*l + 741360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5801985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 634*a**3*n**2 - 229*a**3 - a**2*n**2 + 2*a**2*n wrt n.\nAnswer: 1268*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + 11.69. Let x = y - 16. What is the nearest to -0.1 in x, 2\/11, 3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -54, -66, -80, -96, -114?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 10*g**2 + 19*g + 30.\nAnswer: (g - 6)*(g - 5)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*x)*(-37 + 27*x + 37)*(3*x - x - 4*x).\nAnswer: -108*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98440\/72 + 44\/(-198). Which is smaller: 1366 or y?\nAnswer: 1366","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*j + (-2*j - 4*j + 4*j + (-j + 0*j + 3*j)*(-1 - 3 + 3) + 1 - 1 + j + 0*j + 2*j + 0*j)*(3 - 1 - 1).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 14, -13, -56, -109, -166, -221, -268?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/5 - 27\/10. Sort 1\/7, j, 0.08 in decreasing order.\nAnswer: j, 1\/7, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + d - d + (-2*d - 2*d + 3*d)*(-4*d - d + 6*d) + 111*d - 8*d**2 + 6*d**2 - 27*d.\nAnswer: -d**2 + 84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2416?\nAnswer: 16912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t. Suppose j + 0 - 2 = t. Find the second derivative of -j*z + 5*z**3 + 2*z - 13*z + 3*z**3 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:54 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.47729561 to five dps.\nAnswer: -1.4773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2 + 4 + sqrt(5) + sqrt(30)\/sqrt(6) + 5)**2 - (-1 + (sqrt(5) - (1 + sqrt(45) - sqrt(5))) + sqrt(80) + 1)**2.\nAnswer: 6*sqrt(5) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + (-68)\/(-5). Let j = f + -10. Suppose -1 = -j*g + 5*g, 0 = 4*z - 4*g. Sort -2, z, 0 in descending order.\nAnswer: 0, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -203*l**6\/60 - 221*l**4\/24 - l**3\/6 - 143*l**2 - 1. Find the second derivative of c(g) wrt g.\nAnswer: -2436*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 15, 26, 39, 54, 71, 90?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(544) - -1*sqrt(544) - sqrt(544))*1 + (1*sqrt(544)*3 - sqrt(544)))\/((sqrt(80)\/(sqrt(40)\/sqrt(4)))\/(sqrt(40)\/(sqrt(10)*2 + sqrt(10)))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7*s - 2*s + 10, 2*s - 45 = -5*i. 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 0.7647116ms in microseconds?\nAnswer: 764.7116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3640 and -23\/26.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/14 and 71\/190.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 13) to base 15.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*s**4 - 300*s**2 wrt s?\nAnswer: 1128*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**3 + 0*y**2 + 0 - 1\/4*y**4 - 3\/20*y**5 + y. What is the third derivative of c(j) wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -21*p + 3. Let i be l(1). Let h be (i\/45 - 2\/20)*-8. Solve 0 = s - h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {b: 2, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9.17, 1\/5, -2, 0.1, -26, 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -2 - (-9)\/(36\/(-20)). Let a be 1*b\/1 + (-12 - -22). Find the second derivative of -121*z**4 + 86*z**4 - a*z - 4*z + 60*z**4 wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*c + 93. Let h(v) = -52*v**3 - 32*v**2 - 32*v - 32. Let d(k) = -8*k**3 - 5*k**2 - 5*k - 5. What is c*d(u) - 5*h(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 31 (b) 5 (c) -1\/2 (d) -0.07 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 732960034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8209*i**3*k**2 + i**3*k - 50*i**3 + 924*i**2*k**2 - 2*i*k**2 - 860*i*k wrt i.\nAnswer: 49254*k**2 + 6*k - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)*-2 + (sqrt(14) - sqrt(686)*2))*1)\/((sqrt(448) + -2*sqrt(448)*-3)*-5))**2.\nAnswer: 289\/39200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 166.5606 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 527?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a millennium?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/2 + 1163*b**3 - 116075*b**2\/2 + 56875*b = 0. Calculate b.\nAnswer: 0, 1, 50, 2275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + d**3 - 2 + 152*d - 2*d**3 + 5*d**4 - 98*d as r*d**2 + c*d**3 + h + n*d**4 + g*d and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5544 and 14925?\nAnswer: -8274.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.7 (b) 11 (c) 0.5 (d) 5 (e) -4\/3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -2149346?\nAnswer: 2149345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = 3. Let t = m + 12. Suppose 2*p - 7 = t. Solve -j - j = -p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 19*v**2 - 9 - 6 + 15.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36586, -146454, -329604, -586066, -915870, -1319046?\n\"Answer: -5*l**3 - 36611*l**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f + f - 4*x, x - 1 = 0. Suppose -2*j - 32 = -f*j. Let s = -11 + 19. Calculate the greatest common factor of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/(-133) + -1 - 450\/57?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -35. Suppose 0 = 3*y - 12, 3*f + 3*y = y + w. Find the second derivative of -q + f*q**4 - q**4 - q**4 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4))**(-2\/71)\/((d\/d**(-2\/41))\/d**(-3\/14)))**42)**22 assuming d is positive.\nAnswer: d**(-3094278\/2911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*z + 86 = 0, 3*r + 11*z - 10 + 45 = 10*z for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828 or 85?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 16*o**2 - 5*o - 231. Determine t(0).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -144442122 (base 5) to base 12\nAnswer: -317b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15511 + 15505. Let t(b) = 8*b**3 + 6*b**2 + 9. Let o(j) = 9*j**3 + 7*j**2 + 8. Give w*o(f) + 7*t(f).\nAnswer: 2*f**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1313*h + 1616*h - 441*h.\nAnswer: -138*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2\/9, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06801 and 0.2?\nAnswer: 0.13199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -9 (b) 2\/7 (c) 0.2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15140 - -4?\nAnswer: 15144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 394391 and 394441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfoffbboy. Give prob of picking 2 o and 2 b.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6787*w - 6736*w - 473 = 179 + 317 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (268 - 146)) + -16?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -6d?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 92 = -252. Let b = 137 - m. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3)*o**(1\/5))\/(o**1)**(1\/4)*(o**(1\/4))**(1\/14)*(o**1)**(-1\/48) assuming o is positive.\nAnswer: o**(-3449\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -24*x**2. Let f(i) = 80*i - 4. What is f(p(z))?\nAnswer: -1920*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/97 and 28\/12 - (3 - 0).\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**8\/1344 - y**7\/1680 - 4*y**3\/3 + 1. Let g(p) be the third derivative of z(p). Let g(b) = 0. Calculate b.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002164 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 16. Suppose 0 = -5*b + 3*b + 2. Calculate the remainder when t is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/36)\/((-102)\/(-68))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 - 93*m**2 - 24*m - 275. What is f(19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4659*m + 2*m**3 - 4659*m + 510 as a*m**3 + t*m**2 + x + f*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71\/42 - 19\/14. Let m(z) be the first derivative of 0*z**3 - 1 - l*z**6 + 0*z**2 + 0*z**5 + 0*z + 1\/2*z**4. Factor m(i).\nAnswer: -2*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 82*o**2 - 2591*o + 13. List the prime factors of n(38).\nAnswer: 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 744\/80)\/((-6)\/25)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*a + 13017 + 28327. Calculate the greatest common factor of a and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*z + 411*z - 36669 = 979*z + 75567 for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 17612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -46. Let b = -2 + l. Calculate the greatest common factor of 77 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 520*b**5 + 241*b**3 - 26*b**2 + 7193*b.\nAnswer: 31200*b**2 + 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*i + 14, 6 = -5*x - 0*x + 4*i. Suppose 20 = -5*w + x*t - 7*t, 4 = -t. Which is the closest to -0.1? (a) 2\/5 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3)*n\/((n*n*n*n**(2\/5))\/n*n))\/(n*n**0)**16*(n**(-1\/4))**(-7)*(n**(-1))**30 assuming n is positive.\nAnswer: n**(-2699\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -53\/209?\nAnswer: -53\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 4 + (8 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201412, -402827, -604242, -805657, -1007072?\nAnswer: -1208487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8619 divided by 3.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43108.869 - -43109.05899921. Let x = 0.0109 - -0.1791. Let s = h - x. Round s to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 2)*(-2*x**3 + 2*x**3 + x**3) - 26*x**3 + 22*x**3 + 4*x + 0*x.\nAnswer: -9*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007414145 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 42142212?\nAnswer: 42142212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -21 (b) 2\/289 (c) 2 (d) 0.5 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.972 + -0.028. Let i = 2 + 5. Let k = i + -8. What is the second biggest value in q, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 133119, 11, 1\/6 in decreasing order.\nAnswer: 133119, 11, 1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2890*c = 2881*c + 49887. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqrr when four letters picked without replacement from rrrrfzrqrzrz.\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 2.5, -5 in increasing order.\nAnswer: -5, -0.09, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1239 = -3*d, -3*s - 2*d = 946 - 2811. Suppose 3*n + 381 = -s. What is the tens digit of 28\/63 - n\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naap when four letters picked without replacement from {n: 1, d: 1, b: 1, p: 1, a: 2, k: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 q when three letters picked without replacement from eyqqeyyeyqeyyeyygyiy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0. Let s be (1\/(-2))\/(2\/4). Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m + 12. Let y = 7 - m. Suppose 5*z - 10 = -y*w, 2*z = 4*w + w + 35. Sort w, 0.3, -2 in descending order.\nAnswer: 0.3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-2)*(-160)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/5 + 496*r**3\/5 - 68442*r**2\/5 - 279752*r\/5 + 6939. Suppose c(q) = 0. What is q?\nAnswer: -2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 - n**2)*(39*n**3 - 4*n + 3*n - 42*n**3).\nAnswer: -3*n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 258, 50743 in decreasing order.\nAnswer: 50743, 258, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232131 + 11?\nAnswer: -232120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 3*b**2 - 12*b**2. Let c(v) be the second derivative of v**6\/180 - v**3\/6 + 3*v. Let y(d) be the second derivative of c(d). Give s(y(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1574462441 rounded to 4 decimal places?\nAnswer: -0.1574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100112110012011 (base 3) in base 10?\nAnswer: 5067418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 693869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - -3*sqrt(147))*-5)**2 + -1 + -5.\nAnswer: 58794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739452, -738965, -738476, -737985, -737492, -736997, -736500?\nAnswer: -736001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 849626250 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2)\/2 + 2. Let s be (-45)\/(-27) - (-2)\/6. Solve 2*m = 5*t - s - 0, t = 3*m + h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 + 97. Put 2, k, -2 in ascending order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llffctf. Give prob of sequence llt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590 + 10704 = 1366*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 2894709?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -605 (base 11) to base 16.\nAnswer: -2db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.6. Let b = x + -0.3. Let q = b - 0.3. What is the closest to 1 in -1, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4578019310, 4578019311, 4578019312, 4578019313, 4578019314?\nAnswer: 4578019315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:29 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 bigger than -308735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at least as big as 26513\/603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-83)\/83)\/((-45)\/(-3))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 2, 14 in decreasing order.\nAnswer: 14, 2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h + 10, -5*s = 2*h - 16. Let c(z) = 2*z**2 + z - 1. Let k be c(s). Solve 0 = -39*f + k*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2732461 and 1139.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 1632*c = 806*c + 824*c - 9, 4*c = -10*g + 90 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 8094 - 10642 = 0. Calculate the highest common divisor of 351 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*t - 3, -2*w + t = 3*w - 1. Let r = 19 + -15. Let h be -3*(r\/(-6) + 2\/6). Put h, w, 4 in descending order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987*q**3 + 371925*q - 371925*q.\nAnswer: 1987*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02383 > 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20134)\/28 - 42\/98. Let l = -706 - n. What is the common denominator of l and 34\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1 + 1 - t**2 + 2*t + 0*t**2. Let l(c) = -935*c**2 - 153 + 156 + 3*c + 933*c**2. Determine -3*b(z) + 2*l(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10201441 (base 6) to base 4\nAnswer: -1020033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {i: 2, q: 4, l: 10}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7900\/(-36) - -3 - -3. Let p = o + 213. Is -1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2754 = 3*p - 5*p - 4*q, -5*q + 1371 = p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 0.5 (c) 9.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 2:03 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*l - 461, 2*g = 5*g + 5*l - 267. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 3*p + 3. Let n(x) = 4*x**2 - 2*x - 2. Calculate 3*n(k) + 2*u(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 32 - 52. Suppose 2*r - j*r = -d + 21, 4*d - 84 = -r. What is the remainder when 62 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 3*j - 2 + 2 + j - 3*j - j + 6*j + 0*j - j + 3*j + (3 - 3 + 2*j)*(2 - 3 + 2) + j + j + 0*j + 2*j - 3*j + 0*j)*(5*j - 3*j - 3*j)*(35 - 5 - 4).\nAnswer: -182*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 10*l**2 - 2*l - 31. What is o(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = u - 74, 3*w + 3*u - 54 = 0. What is the least common multiple of w and 2304?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = r - 3, 5*o + 9 = -3*r - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2\/7*p**2 + 12\/7 + 4\/7*p**3 - 26\/7*p = 0.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -24 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 - 3*s + 6. Let c be m(-6). Let r = -113 - c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 6963.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 + 63*j**3 - 43*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130082351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 3 - 3)*(3 + 0 - 4)*(-2*j**4 + 2 - 2) in the form z*j**3 + c*j + n + t*j**2 + y*j**4 and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1011 or 11.5?\nAnswer: 1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-54)\/126*(-2555)\/(-219).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-7)\/(-4). Let l be ((-5)\/(-3))\/(3\/9). Let w(v) = 5*v - v + v + l - k*v. Let m(b) = -2*b - 4. Give 4*m(r) + 3*w(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6323 - 1723. List the prime factors of s.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/(2\/(-50)). Solve -1 = l - d, -3*d - g = -8*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-5\/3))*c\/(c**(-1\/6)*c))**(-3\/26) assuming c is positive.\nAnswer: c**(-11\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -4.4. Let v = 0.1 + j. Suppose -q = -o - 8, 0 = -q + 2*o - 0*o + 13. Which is the second smallest value? (a) 0.4 (b) -2 (c) q (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/60)\/(9\/(-15)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/7)\/((-12)\/(-42)). Suppose v*c - 6*c = 4*b + 8, -4*b + 17 = -c. Let i = 7 + b. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-14))\/((-165)\/100))\/(160\/1120)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 11:11 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/((-15)\/25 + 1). Suppose -f*a + 121*a + 24 = 0. Solve 4*j + 2*g = a*g - 4, -4*j + g = -8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 8*f**2. Let d(b) = b**3 + 3*b**2. Let s be (0 + -4)*((-798)\/56)\/19. Calculate s*q(y) - 8*d(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 53, 60, 67, 74?\n\"Answer: 7*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/33*((-60)\/70)\/((-60)\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5 - j + 1 - 3 + 6. Let w be x(-4). Solve -h + 0 = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13798650 and 1950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1032\/108 + -10 + 2*2 and -3\/145.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u - 966 = -71*u. Suppose -17*m = 6*m + u. What is the third smallest value in -1, m, -5, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 150*x**2 - 5*x - 3. Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 2. Let d be u(-4). Let b(o) = 4*o - 3 + 4 + 2*o**2 + 7 + 3*o. Let f be b(d). What is the highest common divisor of 95 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g - 20 = 0. Let x = 5 + g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3527 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -99562.1203164 and 1.8.\nAnswer: -99560.3203164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 - 20*x + 192 = 0. Calculate x.\nAnswer: -16, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 10:52 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296\/715 + -2\/143. Which is the closest to l? (a) -7 (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-59)\/18)\/((-2)\/(-42)). Let i = c + 69. Let y = -0.9 - 1.1. Put i, y, 0.5 in decreasing order.\nAnswer: 0.5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -147 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -809c63b - -2?\nAnswer: -809c639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(-5 + sqrt(605) + 1) - (5 + sqrt(605) + -1*sqrt(605) + 1 + 0 + sqrt(605)))**2 + 1.\nAnswer: -3300*sqrt(5) + 16024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 18 - -15.95\nAnswer: 33.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1540 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6911 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v + 6*v - 6*v**2)*((-1 - 3 + 3)*(2*v - 3*v + 3*v) - 2*v + 2*v - v + 1 + v - 1) as p + y*v**3 + f*v + j*v**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -108. Let s = -18 + g. Which is the closest to -0.5? (a) 5 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23140 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -35*l - 53. Let h(y) = y**2 - 11*y - 7. Calculate h(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/3*28)\/2. Suppose 16*q - x*q = -8. What is the smallest common multiple of 13 and q\/2 - 0 - 119\/(-17)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -7 (b) 2 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 726119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.098994\nAnswer: -0.049497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25218.99ml in litres?\nAnswer: 25.21899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-9)*t)\/(t**2*t)*(t**3)**(19\/2) assuming t is positive.\nAnswer: t**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*w - 66*w + 7. Sort 1, 3, 0, w in increasing order.\nAnswer: w, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25\/196 (b) -4 (c) 104 (d) 3 (e) 1 (f) 3\/2 (g) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5, -1, 410, -55 in decreasing order.\nAnswer: 410, 5, 4, -1, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnaanannnn. What is prob of sequence an?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211831.\nAnswer: 19, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79257457*r**3 + 2619408*r**2 + 9 wrt r?\nAnswer: 475544742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**5\/10 + 2*o**2 + 21. Let i(c) be the second derivative of g(c). Let w(u) = -7*u. What is i(w(z))?\nAnswer: -294*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from uuxxuuuuxuuuxuxuux.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/6 + 4*j**2 + j + 1. Let h(f) be the first derivative of o(f). Differentiate h(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177357 - -177450. Let w be (1\/(-2) - -1)*6. Calculate the greatest common factor of f and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 2. Let j(s) be the third derivative of s**6\/15 - 13*s**2. Suppose 27 = 8*d + 19*d. Let o be j(d). Give c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -361956, -723891, -1085826, -1447761, -1809696, -2171631?\n\"Answer: -361935*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 975\/214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -4*n. Suppose n*p - 2035 = -j - 4*j, -j + 4*p + 417 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i - 6. Let z(h) = -h**2 - 5. Give -2*m(w) + 3*z(w).\nAnswer: -w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37f79 (base 16) in base 15?\nAnswer: 47dcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188\/87 - -24\/29. Let g(w) = w**2 + 2*w + 3. Let j be g(-2). Let o be (-1*(-3 + j))\/2. Which is the nearest to o? (a) -2\/7 (b) -9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30603 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*l + 10 - 16 + 6 to the form y*l + g and give y.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or 119?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6394871?\nAnswer: 7, 191, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 442*z - 431. Let o(t) = 4*t + 2. Let f(y) = -5*o(y) - p(y). Solve f(m) = 0.\nAnswer: -421, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2338 - -1218. Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2, t: 4}. Give prob of sequence tr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 707, 0.7, -1\/15, 2\/3, -4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522180 and 4320.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 27. Let k = -7 - 3. Let p = k + 9.8. Sort 2, m, p in descending order.\nAnswer: 2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3521400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b*b*b**(-5)*b*b)\/(b**3*b**3) assuming b is positive.\nAnswer: b**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 88\/143 - -1*3\/(-6). Let z = l + -73\/182. What is the nearest to z in 0.4, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -16 + 20 + 18*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c = 88 + 207 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 43180*d - 12390000.\nAnswer: -4*(d - 10500)*(d - 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3773.569cm to kilometers.\nAnswer: 0.03773569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189809794 is divided by 11774?\nAnswer: 11772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77269965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/60 - a**4\/8 + a**3\/3 + 5*a**2 + 4*a. Let b be m(1). What is the tens digit of (-1316)\/(-6) + (-4)\/(12 - b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(10)*2))\/(sqrt(21)\/(sqrt(6)\/sqrt(2))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 44 + 47 + 8*a**3 - 6*a**3 - 91.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbff. What is prob of picking 1 f and 2 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(13\/5)\/(t*t*t**12*t*t)*t**(-6\/13)*t\/(t\/(t*t**(2\/59)\/t)) assuming t is positive.\nAnswer: t**(-53029\/3835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37178 + -0.17178. Which is the third smallest value? (a) -0.4 (b) m (c) -8 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ce4 (base 16) to base 6\nAnswer: -23140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4073fa (base 16) to base 8.\nAnswer: 20071772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - f - 12*f)*(-4*f - f + 6*f)*(2 - 4 + 1 - 4 + 4 - 1 + (2 + 0 - 3)*(-3 + 0 + 2)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10919163 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 14) to base 9.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330296 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 168892721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 328579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - 0 - -1 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103762 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 2. Let b be k(2). Let w be (-22)\/30 - 4\/(-10). Let r = 22\/3 - 104\/15. What is the closest to r in 4, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*t + 39 - 7, k = t + 10. Let a = 4 - k. What are the prime factors of (-1 - a)*-1 + 19?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 s when four letters picked without replacement from {i: 8, s: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 - 11*h + 24 = 0. Calculate h.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p - 12 = 0. Let c be 0*(-3 - -2) - p. Suppose 22 = -2*n + c*n. Calculate the least common multiple of n and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/228 and 127\/161880.\nAnswer: 161880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 - 268. Suppose 2*x + 7 - 1 = i, 2*x - 2 = -p*i. Solve -i*c = -5 - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.6 (b) -1 (c) 7 (d) 1 (e) 3 (f) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + y + 1. Let a(f) = -3*f**2 - 4*f - 4. Let r(x) = -3*a(x) - 12*c(x). Let j(v) = 4*v. What is r(j(k))?\nAnswer: 528*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/20 - 1\/(-5). Suppose v = -0*b + 2*b - 4. Suppose 26 = b*m - 12. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2. Suppose -8 = -5*k + 12. Suppose k*o + 24 = o. Let i = o - -7. Determine t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/((-7425)\/(-20)))\/(12\/150)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0375106 to three decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 33 = -45. Let f be 4\/q + (-165)\/(-143). Suppose 3*w - f + 4 = 0. What is the biggest value in w, 0.5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1319649*z + 2639290. What is p(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (13 - 59) + 69.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.8164, -1, 1, 26, 1\/3 in descending order.\nAnswer: 26, 1, 0.8164, 1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 254\/(-96)*3 + (8 - 0)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/24881 and 13\/593.\nAnswer: 14754433","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - -49 - (2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 920382 and 271898.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.3. Let r be (-2)\/1*20\/220. Which is the nearest to p? (a) -5 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (819\/(-54))\/(-7) - 15\/5.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.049 (b) -2 (c) -1\/4 (d) -5 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6918 or -9470?\nAnswer: -6918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 431820 and 143940.\nAnswer: 431820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**(1\/11)\/(h**(5\/3)*(h**(1\/9)\/h)\/h)*(h\/h**(-2\/5)*(h**5\/h)\/h)**(-6\/17) assuming h is positive.\nAnswer: h**(-10892\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(504\/(-40))\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 522795956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 + 628. Suppose 356*g - 15258 = i*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - k)*((1 + 1 + 1)*(1 - 2 + 3) - 4 + 5 + 0)*(5*k - 3*k - 4*k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1173*q**2 - q - 1127.\nAnswer: -2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-105)\/(-56))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788 = -2*s + 4*s + 5*c, -1546 = -4*s - 5*c. Calculate the remainder when s is divided by 112.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 1468*v**2 - 2297440*v + 454563776.\nAnswer: 4*(v - 332)**2*(v + 1031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, 74, 181, 376, 689?\n\"Answer: 5*k**3 - k**2 + 17*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - t**2 + 1 - 4*t + (-1 + 3*t + 1)*(t + 2*t - 5*t) + 2*t**2 - 2*t**2 + 2*t**2.\nAnswer: -5*t**2 - 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 5. Let d be s(-5). Let l be 351\/65 + 2\/(-5). Put -3, d, l in decreasing order.\nAnswer: l, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1123080 and 336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(128)*3)**2 + 1 + ((-3*(sqrt(96) - sqrt(96)*-2))\/((sqrt(84)*2)\/sqrt(7)))**2.\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 359 + -354. What is the hundreds digit of (-680)\/(-3)*15\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(1\/6))**(30\/7) assuming a is positive.\nAnswer: a**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1*(-2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = -4*n, -3*n + 2*o + o = -15. Let c be ((n\/2)\/157)\/(-15 + 13). Is -1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(1 + 8582\/(-8666))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 - 2 + 174*r - 175*r. Let d(i) = 37*i. Give d(w(y)).\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130867447 to the power of 1\/2, to the nearest integer?\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:39 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 118152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/16145 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j - 5*c + 442, -2*c - 221 = -j. Let s = j + -255. What is the second smallest value in 3, 5, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:03 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 4, b: 2, h: 2}. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110.9 + -45411485?\nAnswer: -45410374.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 2.37246?\nAnswer: 0.948984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1325*l + 88810. Calculate b(-67).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**3 + 110*l**2 - 39*l - 59. Calculate the remainder when 784 is divided by t(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - r + 122 = 0, 4*r + 528 = 3*o - 7*o. Suppose 13*s - 1536 = 5*s. Let b = o + s. What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 16*n**2 + 64*n - 9. Let i be t(9). Put i, -3, 36 in increasing order.\nAnswer: -3, i, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37774934\/7 and 5396420 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -245*f - 446 + 115*f + 131*f + (0 - 1 + 3)*(-f + 6*f - 4*f).\nAnswer: 3*f - 446","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 15*i - 8. What is v(-12)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8793 and 8577.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 10109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15214b + -80?\nAnswer: 15208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*c = -110, -4*h + 80 = c - 5*c. Suppose -4*v = 4*r - 44, h = 2*r - 3*v + 6*v. Calculate the least common multiple of r and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*x + 6*x + 23*x to the form l*x + a and give l.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -416 + 217. Let f = -199.0000557 - g. Round f to 6 decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1242178 + 13822. Round x to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238943 is divided by 98.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -140*i + 135*i. Let c be -129*10\/(-105) + i\/(-21). Suppose -4*v + c = -2*v. Solve -3*p = -v - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 + 4*d**3 - 4*d**2 + d**2 - 2*d**4 + 3*d - 7*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214324?\nAnswer: 2, 11, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k + 48. Let v be c(9). Sort v, 4, 1, 2 in decreasing order.\nAnswer: v, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/42 - (-20)\/(-4)*-1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2361 and 2823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758 divided by 4758?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 2*l**2 - 2*l + 4. Let d be a(5). Suppose 5*n - 81 = d. Let x = -1411 + 1430. Calculate the remainder when n is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, j: 1, x: 1, v: 1}. Give prob of picking 1 r and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.8. Let v = -7.2 + 7. Which is the biggest value? (a) v (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/50 - (-108480)\/49600?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvfhfffvhuffu. What is prob of picking 1 u and 1 h?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 47*m = 44. What is the second derivative of -9*s**2 + m*s**2 - 34*s**2 + 342*s - 328*s wrt s?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2. Let b(j) = -9*j**2 + 0*j**2 + 2*j**2. What is b(p(s))?\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109990646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.78 - -0.6. Let n = -0.68 - u. Which is the closest to 1? (a) n (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 + (71 - 61).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/2)\/15)\/((-10)\/25)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1755692*v**5 + 118*v**2 - 629*v + 2 wrt v?\nAnswer: 105341520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.79768 to 2 decimal places.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1980*a*d**2 + a - d**4 - 164 wrt d?\nAnswer: 3960*a*d - 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v*x**3 + 7540*v*x**2 + 8*v*x + 1710313*v - 2*x**3 - 151*x**2 wrt x.\nAnswer: -6*v*x + 15080*v - 12*x - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((24\/(-9))\/8)\/(75\/72). What is the smallest value in -3, -2\/9, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 0*g + 16*g**3 + 0*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -60*v. Let p(d) = 5*d. Let a(s) = -3*m(s) - 35*p(s). Let k(h) = -5*h**2. Give k(a(x)).\nAnswer: -125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*t - 130, -2*t - 56 - 20 = -3*h. Let y be (h\/9)\/1*36. Suppose -k + y = 12. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a + 1\/16*a**4 + 0*a**2 + 2 + 1\/6*a**3. Suppose h(p) = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 128 = -5*j + 343, 68*z - 140*z + 69*z = -j + 43 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/(-5)*(-156)\/10 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -6*f + 264. Suppose f = 4*m + 79. Put 0, m, -5, -4 in descending order.\nAnswer: 0, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -24, -49, -82, -123?\n\"Answer: -4*h**2 - 5*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -296 + 716. Let z = 0.33 + -0.13. What is the second biggest value in z, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 15\/2*l**6 + 7\/2*l**2 + 0*l**4 - 38 - 2\/3*l**3 + 0*l**5 + 0*l. What is the third derivative of c(u) wrt u?\nAnswer: 2700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 2, d: 1, f: 1, j: 1}. What is prob of picking 1 f and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -431 - -622. List the prime factors of b.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5\/7 - 135756*y**4\/7 + 543064*y**3\/7 - 814616*y**2\/7 + 543084*y\/7 - 19396 = 0. Calculate y.\nAnswer: -33943, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*b**2 + 2\/3*b**3 + 34\/3*b - 20\/3.\nAnswer: 2*(b - 5)*(b - 2)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-66))\/(74250\/5250)*(-4)\/(-7).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26805 <= 26806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11419 - -11419. Solve y + 2\/5*h**2 + 2\/5*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365617 (base 8) to base 13.\nAnswer: 4537c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.551 + 0.06\nAnswer: -1.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 2.40366, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -2, -2089848?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 0*b + 3\/2*b**2 - 12. Let r(z) = 32*z. Give r(g(m)).\nAnswer: 96*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h - 6. Give w(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 159 + 184 = -2*q, 2*q + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b (base 12) in base 5?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = -j - 13, -5 = 5*j. What is the third derivative of -43*g**6 - 42*g**k + 92*g**6 + 3*g**2 wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 528 = 5*q + 122, 228 = 3*q + 4*d. Let t = q - 78. Suppose 3*w - 2 = -t*l - 0*l, -4*l - 16 = w. Solve -3*h = u + w, -h - 5*u + 12 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9457.98 - 9589. Let g = c + 131. What is the second smallest value in -5, g, 0.2, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244.6 - -244. Let i = 5.02 + -5. Let r = i + -3.02. Sort m, r, 2 in descending order.\nAnswer: 2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4816113 weeks?\nAnswer: 291278514240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93312 + 36*x**3 - 40*x + 28*x**2 - 28*x**4 + 4*x**5 + 93312 = 0. Calculate x.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 1:10 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away -1.79?\nAnswer: -17.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 529308 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 39 (c) 3 (d) 0.1 (e) -4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58353 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 7. Let s(m) = -5*m**3 + 3*m**2 - 26*m - 42. What is -6*j(r) + s(r)?\nAnswer: -5*r**3 - 3*r**2 - 26*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8102638340 to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 7\/24*s**4 + 19\/120*s**6 + 0*s + 0*s**5 + 0 + 0*s**3 + 2*s**2. Find the second derivative of g(z) wrt z.\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 91 = 6*n. Let b(s) = 2*s - 7. Let y be b(5). Suppose -a = 4*u - 33, -3*a = y*u - 4*u - 34. Calculate the greatest common divisor of n and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 552?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2152*x = 26512 + 5768 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1 + 3854*c**3 + 4657*c**3 - 2*c**2 + 2289*c**3. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -17*p**2 + 54*p + 47*p**2 - 3 - 55*p. What is the units digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, -66, -169, -310, -489?\n\"Answer: -19*t**2 - 8*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 16*h**3\/3 + 2*h**2 + 8*h + 49. What is the hundreds digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40609489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 12*h + 5. List the prime factors of s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 10. Let y be b(-8). Let x(l) = 5*l - 2 + 5*l + l**3 - 4*l**y - 8*l. Let m = 168 - 165. Calculate x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 12*m**4 + 15 + 0*m**4)*(-4 + 3 - 1)*(2 + 18 + 6).\nAnswer: -624*m**4 - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6089, 12184, 18293, 24422, 30577, 36764?\nAnswer: 42989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178589, -179690, -180791, -181892, -182993?\n\"Answer: -1101*h - 177488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t**2 - 3 + 53*t**2 - 30*t**2)*(-9*t + 949*t**2 - 3*t - 12*t + 24*t).\nAnswer: 949*t**4 - 2847*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2910*h**3 - 970. Let f(p) = 2*p**3 - 1. What is 970*f(r) - n(r)?\nAnswer: -970*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - a + 2*a = -3, -x + 3*a + 4 = 0. Suppose -5*k + 19 = -4*h, -2*h - x = -3*k + 12. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxxvxgvvhxvgvvxvv. What is prob of picking 1 x and 1 v?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.038 + 19.962. Let o = -9 + s. Let f = o + -10.999997. Round f to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 146. Suppose -4*a - 6 = 3*o + 3, 3 = -a - o. Solve a = g - f*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1565?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 25. Let f be l(-7). Calculate the remainder when 102\/(-170) + 1396\/f is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107922402707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 76 + 368. Let h = -149\/2 + b. Sort -3, h, 2\/7 in decreasing order.\nAnswer: 2\/7, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796, -795, -794, -793?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, -20430, -5, 1 in increasing order.\nAnswer: -20430, -5, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73540.\nAnswer: 2, 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -15*p - 191. Let y be (-13 - 4 - (0 - -1)) + 3. Let q be j(y). Solve 4*w = -14 + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**2 + 24*u**2 + 23*u**2 to the form g*u**2 + x + r*u and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*y + 885*y - 455*y + 4 in the form m*y + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/18)\/(5\/(-3)). Let w = 0.1932 + 0.1068. Which is the biggest value? (a) w (b) -0.4 (c) -2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1802*p + 443. Let y(z) = 901*z - 265. Let j(a) = -3*u(a) - 5*y(a). Let x(o) = -o**2. Determine j(x(n)).\nAnswer: -901*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 6*h**2 - 2*h + 14. Let v be w(6). Suppose 3613308 = -v*q - 66386692. What is q rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-12)\/(-16))\/(6\/10). Which is the nearest to l? (a) 3 (b) 7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-7) - (-1 + 1). Suppose 5*g = -c*x - 12, 0*x - 4*x = g + 12. Solve g = q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 0.362 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 5*q**2 + 33*q + 9. Determine c(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3068 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712987638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 34. Suppose 2*s - 124 = -3*k, u*s = -k - 4*k + 200. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2. Let q(o) = 10*o**2 + 2*o - 1. Let r be q(1). Let u(z) = r - 11 - 2*z**2. Calculate s(u(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -14. Suppose 0 = 3*i - i - b. Let a be ((i - 3) + 1)\/1. Solve 2*c = -x - 3, -x - 2*x + a = c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106169519 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:56 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 356240363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 - (4665\/(-156))\/5 and (9\/72)\/(1\/(-190)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*m + 88*m - 985*m.\nAnswer: -1062*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624857.8 micrograms to grams.\nAnswer: 0.6248578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115258, 115241, 115224, 115207, 115190?\n\"Answer: -17*p + 115275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3*k - 8 + (-4 + 1 + 0)*(-10*k - 3 + 3) as l*k + x and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -733, -0.014, 2, -3?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/((-40)\/(-116)))\/(2\/(-48))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731766421.\nAnswer: 731766421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 4*k + 5. Let p be z(-6). Suppose 3*q - 34 + 4 = -2*d, 0 = -4*q - 4*d + 44. Calculate the least common multiple of q and (-4)\/14 + p\/7.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33575826.012 to the nearest ten thousand.\nAnswer: 33580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 110\/(-25) + 2\/5. Let w be o\/(-26) - 647412\/78. What is w rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 5*s - 4*c, 5*s = -35*c + 26*c - 5 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*g*m**4 + 10*g - 8*m**3 - 2 with respect to m.\nAnswer: 84*g*m**3 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(15))\/sqrt(3) - (sqrt(20) + 3).\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -5*q - 1\/4*q**4 + 0*q**2 + 1\/3*q**3 + 0. Suppose b(s) = 0. What is s?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = q - 10, -2*q = 4*d - 4*q - 20. Suppose 85 = -d*t + 25. Let a = t + 20. What is the remainder when 14 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 + -6. Round n to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.87501um to millimeters.\nAnswer: 0.04887501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -11\/6*f**3 + 0 - 1\/12*f**4 - 5*f**2 + 77*f. Factor x(l).\nAnswer: -(l + 1)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Let o be j\/10 + (-4118)\/(-30). Let b = -965\/6 + o. Calculate the common denominator of 71\/2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082872087.\nAnswer: 3, 342541343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28034.\nAnswer: 2, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 6*b - 1712. List the prime factors of b.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4696050?\nAnswer: -1\/939210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3980 by 4.\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {o: 1, a: 10, u: 8}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 830178 + -2?\nAnswer: 830176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*z**5 - 951631*z**4 + 384*z - 22089?\nAnswer: 4980*z**3 - 11419572*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.6 + 0.4. Let d = j + -20.99999993. What is d rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h. Let d(i) = 5581058*i. What is m(d(c))?\nAnswer: 50229522*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7830 divided by -4\nAnswer: -3915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n + 142. Determine m(8).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 293*t**2 - 2296*t - 672725. What is j(-293)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 36*z + 32*z = -2418, 0 = 2*y + z + 975. Let s = -275 - y. Which is the third smallest value? (a) s (b) 0.1 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7140*q - 57649. What is u(8)?\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 - 213. Let k = 75 - v. Let b = k - -30.0087. Round b to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 1580 = -463 + 275. Solve 138*s - w*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of (9 + (3978 - 1))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669841 is divided by 11961.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 6.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 22.\nAnswer: -10, -4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 37 - 242. Let j(y) = y**2 - y + 7. What is the remainder when f + 7 + -5 + -9 is divided by j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(2 + sqrt(567))*4 - ((3*sqrt(567)*2)**2 + (-2 + 2*sqrt(567) + sqrt(567) + sqrt(567))**2)) + 5.\nAnswer: 432*sqrt(7) + 177221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c19 - 1d?\nAnswer: -c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(153)*6 + (sqrt(68)\/sqrt(4))**2*-1).\nAnswer: -90*sqrt(17) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n = -25. Suppose -37 = -n*y + 173. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98035 and 10115.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j. Let d(o) = 11*o. Let l(a) = a. Let g(r) = -d(r) - 2*l(r). Suppose -5 = -q, 0 = 3*z + 2*q - 2 - 20. Let x = -9 + z. Calculate x*g(h) - 7*b(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/37 in 2\/9, 0.05, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1121120220 (base 3) to base 5\nAnswer: -2004101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 24*j - 18. Let t(r) = r**3 + 9*r**2 + 31*r + 286. Let y be t(-9). Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 5, 0.3, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219457479419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let p(o) be the first derivative of -o**3\/3 + 1321*o + 1489. Determine n(p(y)).\nAnswer: -y**2 + 1321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-110)\/160)\/((-1)\/4). Factor -1\/2 + g*m + 17\/4*m**3 - 21\/4*m**2 - 5\/4*m**4.\nAnswer: -(m - 1)**3*(5*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 39*t**3 - 5*t**2 + 14*t + 5. Let b = 39 - 36. Is p(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*b**4 + 197 wrt b.\nAnswer: 576*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 74. Let h(m) = 2*m + 4. Let o(f) = 1. Determine r*h(w) - 2*o(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (17\/(136\/(-256912)))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a4b52 - 8?\nAnswer: 2a4b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/3*j + 40\/3*j**2 + 32\/3*j**3 + 2\/3 = 0.\nAnswer: -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20647, -43073, -65501, -87931, -110363, -132797, -155233?\nAnswer: -177671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15755 at most as big as -15787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annnknbzn. Give prob of sequence bk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**5 - 1575*m**4 - 12885*m**3 - 11305*m**2 = 0.\nAnswer: -7, -1, 0, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*l - 18, -3*l = -3*w - 2*l + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001891 rounded to 5 dps?\nAnswer: 0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392 is divided by 1174?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z = 2234 + 146. Let x be (-36)\/(-14) + 5*(-6)\/z. Solve -x*g + g = 5*u + 30, 0 = 2*g - u + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4809?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*4 + (-3 - -1). Suppose -p = -13 - s. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75700 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 7*i**2 + 6*i + 3. Let h be f(-6). Find the second derivative of -h*m**4 + 20 - 8*m - 20 wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 358.671941 * 0.5\nAnswer: 179.3359705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3275*a - 879 - 1 - 755 - 518 - 7063*a wrt a?\nAnswer: -10338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 104723563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiifiiff. What is prob of picking 4 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 + 1)*(-3 - 1 + 6) + 86 + 90 - 191)*(3*l + l - 2*l) to the form c*l + k and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-12)\/5)\/((-2)\/10). Suppose -2*b + 3*t = 104015, -p*t + 5 = -5. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -22017*x - 4393. Determine v(0).\nAnswer: -4393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -30*y**3 + y**2 + 4*y + 3. Let l be z(-2). Suppose v = -g + l, -v + 5 = -0*v. What is the highest common factor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*i + 27, -i + 3*j = 2*i + 3. Calculate the remainder when (0 - 1\/(-4)) + 243\/i is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6151464 divided by 46602?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 325675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t**2 - t. Let k(y) = -y**3 + 4*y**2 - 3*y + 1. Let b be ((-3)\/9)\/(2\/(-18)). Let m be k(b). List the prime factors of o(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628*v - 315 = 623*v. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166*q*t*z**3 + 6*q*t*z**2 - 2*t*z + 2*z**2 wrt z?\nAnswer: 996*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77564181 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + 22. Is v >= 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/27 (b) -60 (c) 26 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -x + 2*o + 7, x = 4*o + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 1. Let u = 38 - 26. Let m = 18 - u. Give c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**5 - 194*k**4 - 13*k**2 - 27488*k - 232.\nAnswer: 60*k**3 - 2328*k**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27344 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*g - 715, 127 = -q - 22*g + 26*g. What is the units digit of (-8722)\/q*(-126)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8027017\/164 + -48945. Let h = -1\/41 - s. Let w be (-4)\/(-14) - 4*6\/280. Which is the second biggest value? (a) h (b) 3\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -4ab4fe?\nAnswer: 4ab508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1511 + -26?\nAnswer: 14a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 - c - 191. Does 21 divide w(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.54 + 21.46. Let x = -26 + l. Let z be 0 - 1 - 1\/((-5)\/3). Which is the second smallest value? (a) -2\/9 (b) z (c) x (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/2*4\/6. Let y = 3 + k. Let u(b) = y*b - 2 + 2*b + 0*b + 5. Calculate u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (78\/52)\/((-6)\/(-3352)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 125, -4, 1, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -288\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36341*k = 36339*k - 5*z + 1, -2*k = 4*z + 2 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 53. Suppose u + 2 - 5 = z. Solve 4*q + 2 = -u*v, 0*q + 3*v + 4 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 2. Let n be y(4). Suppose 3*a - 18 = -n. Suppose 0 = x - 4*g - 0*g - 2, a*x = 2*g + 8. Solve 0*r + x*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -8\/211, -17, -0.4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2)\/11 - (-1355)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/780 - 751*q**5\/390 - 1505*q**4\/156 - 251*q**3\/13 - 8*q**2 - 2*q + 137. Determine t, given that s(t) = 0.\nAnswer: -1, 753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/5))\/(v**(-7\/3)\/v))**(5\/4)\/((v**(-2)*v)\/(v\/((v*v*v\/(v*v**(-4\/3)\/v)*v)\/v*v)))**(-2\/29) assuming v is positive.\nAnswer: v**(313\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-20)\/h*h)\/(h*h*(h**10*h*h)\/h) assuming h is positive.\nAnswer: h**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -35, 92?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 9:52 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4595, 17902, 40059, 71066, 110923, 159630, 217187?\nAnswer: 283594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 2*i**2 + 8*i + 7 - 9*i. Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-75 - (-42 - 15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:48 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, l: 4, y: 2, q: 2, z: 1, r: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6008*l**3 + 548*l**2 - 2*l wrt l.\nAnswer: -36048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000195 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*f + 4*f + 32 = 0, -5*f - 32 = y. Let c = 5 + y. Let o = 1 - c. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.21399351 to one decimal place.\nAnswer: 33.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*20\/40*(-66)\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 - 1013 + 4752*v**3 - 3*v - 4752*v**3 + 2*v to b*v**4 + i*v**2 + d*v + m*v**3 + z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81921\/11044 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/2 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 223 - 181. Let x = 42 - 30. Let z = -2 + 7. Solve z*c - o = x, -5*c - o = -c - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -16a?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 744*r - 4748. Calculate the remainder when b(7) is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t. Let n(v) = -2*v**2 - 11*v. Let l(o) = -4*n(o) + 11*u(o). Let r(p) be the third derivative of -25*p**4\/24 - 1450*p**2. What is l(r(q))?\nAnswer: -1875*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/7 - 120*f**3\/7 - 512*f**2\/7.\nAnswer: 2*f**2*(f - 64)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/388*773\/(-3092).\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6261942*a*d**3*f**3 + 18*a*d*f**3 + a*d*f**2 + 11*a*f + 2*d**3*f**2 + 2*d**2 + 4*d*f**2 - 9741*d wrt f.\nAnswer: 37571652*a*d**3 + 108*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11400)\/2100)\/(((-30)\/21)\/5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*548\/6987*2\/(-4)*-11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 251 + -252.13. Let m = c + -2.87. What is the second biggest value in m, 0, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359337088 by 16.\nAnswer: 22458568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*-2*((sqrt(200) + sqrt(200) + 1)*-4)**2*-5.\nAnswer: 19200*sqrt(2) + 384476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**6\/105 + 2*p**5\/35 - p**4\/7 + 4*p**3\/21 - p**2\/7 + 11*p. Factor n(j).\nAnswer: -2*(j - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1048, -1044, -1040?\n\"Answer: 4*f - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -32. Is 10 a factor of (-6)\/l - 278*(-1)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. What is the least common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(170)*-6 + sqrt(170) - sqrt(170))\/(sqrt(10) + (sqrt(100) - -3*sqrt(100))\/sqrt(10))*-3 + 1)**2.\nAnswer: -144*sqrt(17)\/5 + 88153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207 + 64. Let j = s + 148. Which is the biggest value? (a) j (b) -8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 38*c + 345. Let f be r(23). Let z(d) = -d**2 + 2*d - 25. Give z(f).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1134, 10220, 34912, 83022, 162362, 280744, 445980?\nAnswer: 665882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.054 - 8.946. Let a = -12.8 - k. Let t = 3.6 + a. Which is bigger: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*j + 140, 3*j - 5*w - 350 = -2*j. Suppose -5*b + j = 2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.49946 to 3 dps.\nAnswer: -1.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55208, 55251, 55402, 55715, 56244, 57043, 58166?\nAnswer: 59667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/17)\/(u\/(u*u**(-6\/5))*u)*(u**(-3\/5))**28 assuming u is positive.\nAnswer: u**(-324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -75.56 (b) 2 (c) 3692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011113 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.7. Let k = 4 + b. Let f = 0.4 + -0.3. Put k, f, 1\/6 in descending order.\nAnswer: k, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n. Let r(f) = 66*f**2 - 16*f - 3. Determine -7*m(v) - r(v).\nAnswer: -73*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:43 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) - (-107)\/((-22470)\/(-28)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458161*y**2 - 934262*y**2 + 464945*y**2 to o*y**2 + m*y + d and give o.\nAnswer: -11156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62\/5 or -13?\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*a**4 - 24*a**2 - 3 wrt a.\nAnswer: -5712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -134 times -0.839\nAnswer: 112.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 9*d**2 + 16*d + 24. Let u be f(-11). Let v be u + -2 + (-3 - 0\/1). Suppose -463 = -4*w + 5*p, v = 2*w + 4*p - 153. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -33.77. Let g = s + 0.230045. What is g rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -2.5. Let v = 1.97 - l. Let a = v - -0.03. What is the second biggest value in a, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -0.0333750585475?\nAnswer: 0.5333750585475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -23, -1.9, 23, -3, 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017981974 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = 28. Solve 6*u - u = -r + i, 5*r - 10 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364303 and 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -1\/7, -2.5, 1\/4?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.2. Suppose 32 = -6*v + 2. Which is the smallest value? (a) q (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4483993 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 44 - 20)*(0 - 2 + 3)*(2*q + 2*q - 2*q).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*w - 1139*w + 1933*w - 483*w.\nAnswer: -726*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 879095308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 41*n**2 + 2*n - 9. Let f(c) = -123*c**2 - 5*c + 25. Give 3*f(b) + 8*k(b).\nAnswer: -41*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n - 16. Let f(w) = -7*w - 11. Suppose 4*z = 5*b + 16 + 7, 5*b = -z + 12. Calculate z*f(t) - 5*o(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/(g\/g**(-3\/7)))\/(g**1)**(-3\/16))\/((g\/(g\/(g\/(g*g**(2\/15))))*g**4)\/((g*g**(2\/9))\/g**(4\/7))) assuming g is positive.\nAnswer: g**(-5369\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 22. Let f = 139 + u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0690423*-5\nAnswer: -0.3452115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.215908 take away 3353.193?\nAnswer: -3358.408908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/6 + 11*z**2 + z. Let w(a) = a + 13. Calculate the remainder when l(0) is divided by w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a + -21?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/10 (b) 4\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-7 - (-16 + 24) - 35)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 966\/(-46)*(-1)\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -37403*k - 635833. Determine u(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032 * 1801.01.\nAnswer: 57.63232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -18*d**3 + 2636*d**2 - 10520*d\/9 + 1168\/9 = 0.\nAnswer: 2\/9, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 21.1. Let y = 1 - k. Let p be ((-2)\/(-36)*2)\/1. What is the third biggest value in p, 4\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 176.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 3*s + 3*s)*(2*s**3 - 1 + 1)*(-s + s - s).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278296 is divided by 135442?\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*z + 19 = 3, -b + 26 = 2*z. Let s(l) = l**2 - 3*l - 16. Let h be 7\/((1\/(-1))\/1). What is the lowest common multiple of b and s(h)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 6*c. Let n be b(5). Sort -2, n, -5, -3 in decreasing order.\nAnswer: n, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 9, i: 1, a: 4, c: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 475075 + 475092 = 5*v, v - 16*l + 7*l = 123 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -120121111020 (base 3) to base 16\nAnswer: -4b042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186948 and 2268?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1065380 times 0.5\nAnswer: -532690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 289 = -5*w, -t + 5*w - 64 = 27. Let l be 32\/(-144) + t\/(-18). What are the prime factors of 1\/((-1)\/(-54)) - l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3400025 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3217427279569\/92808 - 34667564. Find the common denominator of 67\/10 and t.\nAnswer: 464040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 53?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787626 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {b: 2, s: 10}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-18 + (-9 - -18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 330*i - 316*i. Solve 4*q - 6 = 2*l - 20, i*l = -4*q - 26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y**3 + 117*y**3 - 90*y**3.\nAnswer: 78*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.8235*-0.0081.\nAnswer: -0.17677035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + k - 6. Let f be v(2). Let z(p) = -33*p**2 - f - 11 + 15. Let g(l) = -3*l**2. Determine g(z(c)).\nAnswer: -3267*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 17*d + 12. Let w be b(-12). Let a = 261 - w. List the prime factors of ((-12)\/9)\/(2\/a).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 68 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6321.4 - -6321.5. Let p = -18 - -13. What is the fourth biggest value in -4, 3, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 9*f - 10. Determine j(-9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0925 * 0.025\nAnswer: -0.0023125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144 - -85) + 118 + -22?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t + 6, 3*t - 41 = -r. Let p = r + -63. Is p bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -35, -36, -37, -38, -39?\n\"Answer: -d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + 2*b)*(-b**3 + 0*b**2 + 0*b**2) - 3*b**4 - 4*b**4 + 5*b**4.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1. Let i(b) = 8*b - 3*b - 1812 + 1808. Let r(k) = -i(k) + 4*v(k). Let y(d) = 2*d**2. Determine y(r(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, 39228 in decreasing order.\nAnswer: 39228, 4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/279 + 325\/6975?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1270750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1592.\nAnswer: 7960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(-19469 + 4693*x + 19469).\nAnswer: 9386*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -8, 5, 36, 91, 176?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 13*i**2 - 11*i**2 as h*i + k + a*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/9*28\/70*17\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (-75 - -67) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 86, 93, 102, 113?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*n - 0*n + 2*x - 110 + 81, 4*n + 121 = 3*x for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t)**(-16\/3)\/(t**22\/t**(2\/7)) assuming t is positive.\nAnswer: t**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 26. Let c(q) be the third derivative of -2*q**2 - 1\/120*q**5 + u - 1\/48*q**4 + 0*q**3 + 0*q. Factor c(o).\nAnswer: -o*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/2*6. Suppose -4*m - w = -6. Is 64 + (2 - (m - -2)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41030 + 2031?\nAnswer: -33444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3, 0.15, -0.004724?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*l - 38 - 129*l + 7*l**2 + 38.\nAnswer: 7*l**2 - 531*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1842 - -2743. What are the prime factors of s?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.48 rounded to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-3\/8)*r))\/(r*r*r\/(r**(-5)\/r)*r*r*r))\/(r**(-6)*r*r*r*r\/r**(1\/3)*r*r) assuming r is positive.\nAnswer: r**(-271\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56945 + 272004. Let w = 243609 - 58668. Let h = q + w. What is h rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/9 (b) 12\/11 (c) 0.09 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 139*l**3 + 2*l**2 - 2*l - 1. Let u be b(1). What is the highest common factor of u and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + -696. Let v = -678 - w. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/31 or 0?\nAnswer: 28\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Let v(u) = -u**2 - 8*u - 2. Let r be v(-7). Suppose w - 6*w = 5*a - 50, -r*a - 49 = -p*w. Solve -c + 4*q + q - 16 = 0, w = c + 4*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124164253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*t - 1, 2*t - 5 = -26*a + 31*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 10*i**2 - 8*i + 11. Let u be k(-9). Solve 4 = -u*t - 3*m - 4, 4*t + 8 = -4*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 23. Let y = b + 17. Let j be y\/(-28) + (-18)\/(-8). Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 10*f**2 - 12*f + 9. Suppose -n - 2071 = 3*v, -10*n + 3449 = -5*v - 13*n. Let y = v + 682. What is q(y)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 - 2 - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-245))\/((-4)\/10). Let a be (-1 - -4)\/3*1. Let n be 8\/(-12)*6*1 - 0. What is the nearest to k in -1, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 715373855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/((-4)\/(-18)). Let v be 45\/27*(d + 0). Solve -a - 13 = -4*o, o + a - v = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-15 + -4 + 28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13 (b) 1\/20 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22924.\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/21)\/((-2)\/117*1). Let l = n + -17. Solve q = -4*t - l, 0 = 2*q + t + 9 - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*g + 216*g + 114*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 + -5 + (-1 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c - 1. Let l be h(3). Let r be l*1 + (5 - 1). Let k(j) = j**3 - 5*j**2 - 9*j + 7. Give k(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19340, -19164, -18886, -18506?\n\"Answer: 51*f**2 + 23*f - 19414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 + z**4\/6 - 2*z**3\/3 - 5*z**2\/2 - 2*z + 64. Let f be m(-2). What is the third smallest value in f, -0.031, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 6*f - 5*o - 18, 3*f + 4*o - 1 = 0. Solve -4*v + 14 = -f*v - 4*l, -2 = 4*v + 2*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.87 + -18. Let r = o + 0.08. Let b = r - 0.05. Is b greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195574 plus -0.0624?\nAnswer: -195574.0624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -390*u - 4252. Give i(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-6 - 7 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2004 - 247\nAnswer: -246.7996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 1003 = 3*t + 949, -2*t + t = 4*t + 5*u - 70 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*k**5 - 62\/7*k - 8\/7*k**4 - 20 + 148\/7*k**2 + 64\/7*k**3 = 0. Calculate k.\nAnswer: -7, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 272, 236, 186, 128, 68, 12?\n\"Answer: v**3 - 13*v**2 - 4*v + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 - p - 1. Let x be k(-1). What is the common denominator of (x\/4)\/((-270)\/(-198)) and (-1436)\/120*-1 + -9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220212 + -1121122120?\nAnswer: -1200120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 1 (b) -2\/5 (c) 38\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 520.8213um?\nAnswer: 0.0000005208213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 10 - 10)*(5*s - 5*s - 21*s**2) + 120*s**3 + s - 17*s**4 - 120*s**3.\nAnswer: -38*s**4 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -344 - -4?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + 11*t**3\/6 - 25*t. Let w be k(11). Let n(l) = l**2 + l - 2. Give n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128817 greater than or equal to -128816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -0.5, -0.1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3 = p + 1, -u = 3*p - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 16) to base 10.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27270, -27276, -27280, -27282, -27282, -27280?\nAnswer: -27276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 13*v**2 - 3*v - 9. Let c be 4\/18 + 370\/(-45). Let t be ((3 - 5) + (5 - 2))*c. What is the units digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -350.45 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3891.996127 - -3892. What is h rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 308 + 52 = 0. Let s(f) = f**3 + f**2 - f + 2. Let p be s(-2). Suppose p = 4*i - 7 - 1. Calculate the smallest common multiple of i and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*d - 33800 + 34241 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 3*p**2 - 5*p + 1. Let c be n(-4). Calculate the remainder when (2\/c)\/((84\/1230)\/7) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*w - 4*p, w - 19 = -4*p + 14. Solve 35*x = w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1102.995 - -1104. Let k = -2.005 + o. Let f be 22\/8 + 1\/4. What is the closest to k in 2, 4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + -531\/5. Let x(m) = m + 1. Let v(q) = 2*q - 4. Let b(c) = -v(c) + x(c). Let d be b(6). Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsyynesrsra. Give prob of sequence ry.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-40)\/30*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 7, 5, -3 in increasing order.\nAnswer: -25, -3, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 166 (b) 0.07 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 - 513\/12. Suppose -290 = -5*o + 8*o - s, 4*o + 3*s = -404. Let m = d - o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Which is the nearest to -3\/7? (a) -86 (b) -3\/2 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 + 132. Is -29 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*i = 118, 3*t + i = t + 69. What is the remainder when -2 - -1 - (2*224)\/(-4) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/20? (a) -0.2 (b) 0.423 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -28, -36, -42, -46, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137715 by -45905.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/115)\/((-2)\/(-20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0*n + 8*n - 3*n + 2 + 3 - n**2. Suppose -2*f = -f - 4*m - 25, 0 = m + 5. Determine c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 - z - 2. Let n be v(0). Suppose 3*y - 21*x = -20*x + 1, 0 = 2*y - 4*x - 14. Put n, 5, y, 0 in ascending order.\nAnswer: n, y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -715, -1666, -2613, -3556, -4495, -5430?\n\"Answer: 2*v**2 - 957*v + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5 = -4*y + 3, 0 = 4*y - c + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 16*d**2 + 3*d - 5. Let q = -19 - -24. Suppose 0 = -i, -q*h - 3*i = -8 - 2. Is 15 a factor of g(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1659*m + 327*m + 48210 - 12246 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21954048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 185665425 to the power of 1\/2, to the nearest integer?\nAnswer: 13626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**1*y))\/y**1*y**(41\/2)*y**(1\/6)*y**(3\/2)*(y\/((y\/(y**(-3\/4)*y*y*y))\/y))\/y**(2\/5) assuming y is positive.\nAnswer: y**(1381\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -360784776 + 0.2\nAnswer: -360784775.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18312989 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 -511304, -1022610, -1533916, -2045222?\n\"Answer: -511306*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 3*x + 0*x - 248 + 248 - 25*x + 7 - 7 - 5*x + (2 - 2 - x)*(3 - 3 + 1) as r + c*x and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -31.2. Are -0.1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 4. Let p(q) = q**2 + 3*q + 6. Let c be p(w). Suppose 3*a - 20 = c. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17 - 218*m - m**3 + 427*m - 215*m. What are the prime factors of c(-10)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1300) + -1)**2 + sqrt(1300) + -2*(sqrt(1300) - (sqrt(1300) + 3)) + 3.\nAnswer: 90*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48406 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millisecond in microseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**2 - 60*h**2 + 11*h**2)*(-1 - 4 + 3)*(3 + 3 - 1)*(-3 + 6 + 8).\nAnswer: 4290*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 1\/30*u**4 + 0 - 2\/15*u**3 + 0*u**2 - 9*u. Find h, given that l(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3)\/(612\/1170 - (-3)\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13456 to the nearest one hundred.\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153585*r + 153569*r + 322 = 262 - 404 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than 40756986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12167, -3, -0.2, -1.6 in increasing order.\nAnswer: -12167, -3, -1.6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -148*j + 774. What are the prime factors of i(-19)?\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13250 and 35139.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4010*p + 52133. Give g(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 37625600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.961 + -0.039. Let h be (-2)\/10*(297\/36 - 7). Which is the closest to 1? (a) 25 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12185 - 797 - 11039 - 1859 - 2319)*(u + 0 + 0 - 1) in the form a + t*u and give t.\nAnswer: -28199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 43*s - 5*s**2 + 36 - 11 + 5*s**2. Let q be f(-22). Solve 5*j = -2*g + 15, -4*g + 22 = 5*j - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38830151.\nAnswer: 337, 115223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-102)\/85*10\/(-28). Let g = 0.8 - 1. Which is the third smallest value? (a) 2 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116627581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.2 + -38.3. Which is smaller: w or -5304?\nAnswer: -5304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(21\/5)\/f)\/f**(3\/22)*(f\/(f*f\/f**(-27)))\/(f\/(f**(-25)\/f)))**(-11\/2) assuming f is positive.\nAnswer: f**(5493\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182322215 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) -4 (b) -0.5 (c) 0.04 (d) 3\/4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/698250 and -157\/379848?\nAnswer: 47481000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10028, 10027, 10026, 10025, 10024, 10023?\nAnswer: 10022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225508847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.3 (b) -0.02 (c) -6 (d) -0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least as big as 231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11382 and 38482.\nAnswer: 808122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1618 + -596. Let n = 2929 + -2915. Calculate the highest common factor of n and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 5 - 5. Let d be a(-3). Suppose -4*g - 5*j + 45 = 0, 3*j + j = 5*g - 5. Solve -5*o - g = d*c - 2, c - 7 = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:01 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*y - 62, 0 = 5*y - 3*t - 134 - 5. Let x(n) = 23*n**2 - 54*n**2 + y*n**2. Let z(f) = f - 34. Give z(x(u)).\nAnswer: -2*u**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 + 15975*t + 47898 = 0.\nAnswer: -5322, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlxllliilxliiixiix. What is prob of picking 2 x?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -31?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 758861751, 758861752, 758861753, 758861754, 758861755?\n\"Answer: z + 758861750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -123*q - 1024. Calculate c(-10).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2) - 390\/182 - 16328\/364?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 118. Let d(p) = 116*p**2 + p**3 - 57*p**y - 56*p**2 + 2. Calculate d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10556 divided by 364.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 2*s**6\/45 - 722*s**5\/15 + 42956*s**4\/3 + 116644*s**3 + 263538*s**2 - 212*s - 7. Let x(y) = 0. Calculate y.\nAnswer: -3, -1, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02773 and 0.02.\nAnswer: -0.0005546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9695, 9693, 9691, 9689, 9687?\n\"Answer: -2*b + 9697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 229\/6. Calculate the common denominator of 87\/22 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 544\/680*(-10)\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -579\/5*y**3 + 1\/5*y**2 + 579\/5*y + 0 - 1\/5*y**4.\nAnswer: -y*(y - 1)*(y + 1)*(y + 579)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 1136621 = -l - 2*a + 1136735, -2*a = 2*l + 84 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 7*t**2 + 0*t**2)*(337*t**2 + 222*t**2 - 1058*t**2) as i*t**3 + r*t**4 + a + p*t + s*t**2 and give r.\nAnswer: -2994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*l + 94*l - 390. Solve l*m + 33 + 42 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1340 divided by -335\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*m - 72, -3*y + m = 5*m - 49. What is the remainder when 56 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -1.349\nAnswer: 16.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 416755, 1667081, 3750947, 6668347, 10419275, 15003725?\n\"Answer: -p**3 + 416776*p**2 + 5*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 + 682*b**4\/7 - 66*b**3 - 874*b**2\/7 + 68*b + 192\/7 = 0. Calculate b.\nAnswer: -1, -2\/7, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 92745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 26 - 6 - 7.\nAnswer: -q + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 4. Let y(j) = -j + 2. Let n be y(-4). Let z be p(n). Suppose -2*a + z = -a. Is a equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i. Let w(l) = 28*l**2 + l**2 - 25*l**2. Determine t(w(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6371*v. Let s(p) = 11*p - 24. Determine s(f(k)).\nAnswer: -70081*k - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1541 + 1540.9999483. Round t to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 182490*i**2 + 56*i + 24. Let p be u(6). Round p to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.71 - 3.51. What is the second smallest value in z, 0.027, -3\/5?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h + 4*h - 440 - 766.\nAnswer: 3*h - 1206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 1\/2, -3\/11, 116\/619, 1\/5 in increasing order.\nAnswer: -3\/11, 116\/619, 1\/5, 1\/2, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.9 and 5096.\nAnswer: 5099.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(304) - (0 + sqrt(304) + 3)) + 3*(sqrt(304) - (4 + sqrt(304)*2)))**2.\nAnswer: 408*sqrt(19) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*c = -75*c - 27*c - 1570 + 3850 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -451*i + 12*i**3 + 451*i + (-i**2 - 4*i**2 + 3*i**2)*(1 - 1 + 2*i + (-797 + 98*i + 797)*(-1 + 0 - 1)) as o + k*i**2 + a*i + y*i**3 and give y.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 2, -0.1, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = 4*i + 12, 4*m + 2*i - 16 = 0. Suppose m*f = 5*f. Which is bigger: f or -1\/14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3015? (a) 0.5 (b) -2\/33 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418130 by 2.\nAnswer: -209065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/80 and -37\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -8\/247 (c) 1 (d) 1\/10 (e) -144\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - z + 4*z. Let j(b) be the third derivative of -b**7\/5040 + 11*b**5\/60 + 9*b**2. Let x(i) be the third derivative of j(i). Calculate x(r(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 10*j - 10 = 5*j, 2*p - 2 = -4*j. Let y be ((-8)\/(-72))\/(16\/36). What is the nearest to -3 in p, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.312, 2\/9, -0.5, 0.3 in decreasing order.\nAnswer: 0.312, 0.3, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + 13*u**3 - 13*u**3 + (18 - 10 - 12)*(2*u**4 - 4*u**4 + u**4) + 0*u**4 + u**4 + 0*u**4 as y + d*u**2 + z*u**3 + f*u**4 + g*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20058795.\nAnswer: 3, 5, 67, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -388 - -28553?\nAnswer: 28176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(10\/(-12) - (-8 - -7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 679, 5289, 17735, 41935, 81807, 141269, 224239, 334635?\n\"Answer: 653*w**3 + 39*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.07, 29, -0.005, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 a, and 1 j when four letters picked without replacement from {b: 2, s: 1, i: 5, j: 3, a: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-5 + 7)) + -8 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 + -1)) + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s = -42*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z = -23*z - 55. Solve i + 0*i + z = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/4*h - 3\/8*h**2 + 45\/8.\nAnswer: -3*(h - 1)*(h + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 18*m + 245508. Let t be (-5)\/(120\/m) - 4\/(-24). Round t to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(16))\/((2*sqrt(99))\/sqrt(11)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000044036744 to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 40 = -9*p, 108717*z = -p + 108712*z + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 567837184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-4)*275\/(-7095) and 55\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v + 2, 36 = -4*l + 4*v. Let w be -5 + (l - 16\/12)*-3. Let g = 1 + -1. Solve 5*j - 1 - w = g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(7))*4.\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25086596 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105.1 - -105. Which is the closest to k? (a) 4 (b) -2\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 3. Let z = 7 - b. Suppose z*h + 5647904 = 1487904. Round h to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*y + 622*y + 4584 = -460*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 21642408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-520)\/720)\/(-13)*(18\/(-40))\/((-6)\/(-4)).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from qdqkdqddnqnqkqk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Suppose -5*s - 5 - 10 = 0, -14 = -2*u - 2*s. Suppose 2*i + 0 - u = 0. What is the greatest common divisor of i and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/30 + (2079405\/25 - (-16)\/40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577395 is divided by 68?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v - 10. Suppose -2*o = -13 + 25. Does 12 divide (o\/v)\/(6\/92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*d = 20, 4*t + d + 25 = 6*d. Solve -9 = 2*x - t*x - w, 27 = -x + 5*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 9*c + 8. Let f be n(9). Let g be -2*20\/f - -3. Calculate the common denominator of (g - (-91)\/12) + 2 and 143\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*x - x + 3*q, q + 3 = 0. Let a(h) = 1. Let y(t) = -t**3 - 5*t**2 - t - 5. Let n(p) = 2*a(p) - y(p). What are the prime factors of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 8 + 5*h - h**3 - 33 - 27 + h**2 as t*h + b + z*h**2 + o*h**3 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 11*n - 30. Let y be a(14). Let k be (-5 - (-56)\/y)*-12. Let t = -0.34 - -0.04. Sort k, t, 1 in ascending order.\nAnswer: t, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2952 - -3136. Do 733\/4 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*o + 668 = -160 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 465626484 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -2, -27\/5, 17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 29516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -10. Calculate the common denominator of 82\/33 and (a*(-10)\/5)\/((-6)\/10).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*w - 72*w + 24. What is the smallest common multiple of 3 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + -71. Suppose 5*v = -t + 461, -2*v - 3*t + 148 = -m. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/7178?\nAnswer: -13\/7178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 636*r**2 + 370*r + 651*r + 398*r**2 + 447*r wrt r.\nAnswer: 2068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 9*l. Give s(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-40)\/3)\/(-20))\/((-2)\/(-3)) + 5705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/4 - (-12)\/24. Let x(i) = -245*i + 247*i - 10 + t. Determine x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16926 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**8)**(1\/27))**(-1\/5))**(-17) assuming w is positive.\nAnswer: w**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 41, 113, 243, 449, 749, 1161?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 3. Calculate l(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78 + -4530?\nAnswer: -45a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 1147, -4 in decreasing order.\nAnswer: 1147, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42362?\nAnswer: 2, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g - 5*q = 11, 3*g + 4 = 2*q. Let f = g - 6. Let m be (-9)\/(-12) + 6\/f. Solve m*p - 2*p = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:56 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)\/((-8275)\/275 - -30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 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: Expand -4*n**4 + 7*n**4 - 1 + n**4 + (2 + 2*n - 2)*(-2*n**3 + 4*n**3 - n**3) + 2*n**4 - 2*n**4 - 7*n**4.\nAnswer: -n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1 + 939424 + -104 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -37. List the prime factors of 642\/8 - p\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5)*q*(q\/(q\/((q*q**(-12)\/q)\/q)))\/q*q)\/(q\/(q*q**13*q)*q\/(q*q*(q*q\/(q\/q**13))\/q*q)) assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.4. Let u = o - -0.1. Let v be (2 + (-32)\/18)*6. What is the third smallest value in v, -0.1, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 62*q**2 - 979*q + 918.\nAnswer: -(q - 34)*(q - 27)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58\/3 - -259\/12. Find the common denominator of 133\/(-10)*1 - (-69 - -66) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. Let b(t) = t**2 - 3*t + 3. Let u be b(x). Solve u*n + 12 = -0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -2, 8, -6 in descending order.\nAnswer: 13, 8, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(98))*-1 + -1)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73099036*t**2 - 73099036*t**2 - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 1020?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166546 - -123?\nAnswer: -166423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 689\/9. Let b be (2 - -3 - 4)*-3. What is the smallest value in b, 1\/10, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 77 - 35*n**2 - 226 + 77 + n as h*n + b*n**2 + p and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 16*z**2 + 38*z + 145. Give t(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 42*w**2 + 10*w - 89. What is a(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 2*d - 14. Determine s(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 11*s**2 + 11*s - 12. Let m be y(-12). Let v = -59.79 - -55.79. Let u = 1\/5 + 2\/15. Which is the closest to 0.03? (a) u (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 543400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -70857 divided by -3\nAnswer: 23619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221120122 (base 3) in base 2?\nAnswer: 110100100110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5186755 divided by 1037351.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/15)\/((-2)\/20). Let b = -1117\/90 - -123\/10. Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23.8 (b) -0.2 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-315)\/(-189) + (-80)\/12 + 2. Let n(t) = 4*t**2 - 21*t + 3. Let s(h) = -2*h**2 + 10*h - 2. What is v*n(p) - 5*s(p)?\nAnswer: -2*p**2 + 13*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39304275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -5*i - 7. Suppose -38 = i*p + 4. Let m be (4\/6)\/(p + (-336)\/(-54)). Solve -m*t = t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-78)*-13)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 73?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1642 + -442. Suppose 4*i = -5 - 3, -4*i - y = -4*v. List the prime factors of v.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2388480 and 128000?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 at most -700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34605 - -4?\nAnswer: -34601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, -18 in decreasing order.\nAnswer: 5, 4, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**6\/24 - x**5\/12 - 5*x**4\/12 - x**2 - 6. Factor k(b).\nAnswer: 5*b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 1060044944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 246?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 32*p**3\/3 - 3*p**2\/2 - 20*p + 228. Is 12 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8624*v**2 + 8626*v**2 - 43104*v**2 + 8618*v**2 + 8618*v**2 + 8625*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/10, -6, 3, 2\/69, 296?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, 0.7, 1\/8, -15\/26 in descending order.\nAnswer: 2, 0.7, 1\/8, -0.1, -15\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.132 + 0.132. Let q = d - -72.94. Which is the nearest to -4? (a) q (b) -2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - n + 257 = 0, 5*x + 2*n - 269 = 5*n. Suppose -2*j - 2*j - x = 0. Let y = j + 49. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137.0182 - 137. Round d to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let k = 2 - r. Let p = -27 - -82\/3. Is p > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35089 divided by -19539\nAnswer: -35089\/19539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 938*j**2 - 14*j - 10. Does 34 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 228748 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6470.638 litres to millilitres.\nAnswer: 6470638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26926*d**3 - 13463*d**3 - d - 27*d**2 - 2 - 13459*d**3 - 2*d**4 to the form l + n*d**3 + i*d**2 + c*d + b*d**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-297)\/(-308) + (1 - 2). Let g = -703\/84 - u. Find the common denominator of g and (-178)\/(-16)*(-2 - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, l: 1, g: 5, e: 1, z: 2}. Give prob of picking 1 e, 2 k, and 1 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(3)*1)\/sqrt(2) + sqrt(24)\/(sqrt(60)\/sqrt(20)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91339 is divided by 120.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-16625)\/(-76)))\/((-4)\/3*63\/1260)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 5. Let a be m(-4). Let p = a + -7. List the prime factors of p\/7*(-189)\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than 0.03279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.9 - 15.9. Let w = 38 + -33. What is the fourth smallest value in x, w, 1\/3, 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 140 = 40. What is the remainder when 18 is divided by (-15)\/n + (-15)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 + -531. Let w = 1276\/5 + b. Calculate the common denominator of w and -83\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222310 (base 7) to base 4\nAnswer: 21211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -24*a + 3 + 20*a - 1. Let s be w(1). Is 3\/s - (-46)\/4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4873.161 millennia to months.\nAnswer: 58477932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -646437.054809 - -646716.856. Let o = y + -279.8. What is o rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:32 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233 - -264. Let b be ((0 - -1) + -1)*-1. Suppose b = -n + 2*t + 22, 0 = 3*n + t - 83 + s. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150520 - -1.3\nAnswer: 150521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.114119 milliseconds to microseconds.\nAnswer: 9114.119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*b**3*w**3*z**2 + 12*b**3 - 6*b**2*w*z + b*z**2 - 40*w**3*z wrt b?\nAnswer: 156*w**3*z**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3)*288\/(-600))\/(22\/(-55))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6590973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*q**2 + 657*q**2 - 2377*q**2.\nAnswer: -2115*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108899, -108591, -108287, -107987?\n\"Answer: -2*o**2 + 314*o - 109211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -s + 26. What is the highest common divisor of 171 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f**3 + 13*f**2 - 13*f + 13. Let v(o) = 430 - 9*o**3 + 9*o**2 - 6*o - 424 - 3*o**2. Calculate -13*v(t) + 6*z(t).\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 14 + 9122*u + 8 - 9130*u + 0*u**2. Suppose q + 4*q + 3*r + 40 = 0, q + 8 = -5*r. Determine y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4015*l = 4021*l + 42 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 7596118.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263835, 525570, 787305, 1049040?\nAnswer: 1310775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.9584 - 0.0716. Let n = j + 0.03. Let c = n + 42.05. Round c to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/12 (c) 1\/23 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 3 + 5 + -13 - 0) + -16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r. Let l(k) be the second derivative of 0*k**3 + 11\/12*k**4 + 0*k**2 + 0 - 153*k. Calculate j(l(o)).\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, 4\/5, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 148 = -2*j, 4*v = -v - 2*j + 370. Let l be ((-1)\/(32\/1776))\/(33\/(-440)). What is the highest common divisor of v and l?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8.16. Let q = 5.15 - 0.43. Let f = q + -0.72. What is the closest to 2\/7 in f, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1298*0.1.\nAnswer: 0.01298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 18, k: 1}?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 96 = -111. Solve 5*y - 10 = f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + -15 + (6 - 25) + 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235800.\nAnswer: 2, 5, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20323 + -31123?\nAnswer: -51450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14127 and 535449?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15646150 is divided by 344.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-34))\/((-19)\/(245157\/(-33))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9229*a**2*k**5 - 11*a**2*k**2 + 456*a**2*k + 2*k**4 wrt k?\nAnswer: -553740*a**2*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109870741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249 - (-10)\/(-40)*-20 and 1270.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 3807, 2, -7 in descending order.\nAnswer: 3807, 2, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4\/11, -34, -2 in descending order.\nAnswer: 1\/5, -4\/11, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -q - 5709 + 5720, -q + 15 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**3 - 2*k**2 - 2*k - 6. Let s be (-5 + 145\/20)\/((-75)\/200). Let x(f) = -15*f**3 + 4*f**2 + 4*f + 13. Calculate s*x(n) - 13*h(n).\nAnswer: -n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/42)\/((-32)\/(-56)). What is the biggest value in 0.1, 0, a, -21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -96*o**2 + 2*o - 3. Let x(y) = -91*y**2 + y - 2. Determine 2*d(a) - 3*x(a).\nAnswer: 81*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**2 + 12*t + 40 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*q + 34*q - 125*q + 40*q + 43*q**2 + 8*q**2 - 2 wrt q.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 974735\/56 - 17404. Find the common denominator of -99\/952 and c.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 4. Let j be i(-8). Suppose -1 = j*w - 5. Is w > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -40*l + 4. Let i be k(-2). Suppose -4*t = -3*m + m + i, -2*m + 49 = 3*t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79cd (base 15) to base 10.\nAnswer: 25843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5033208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2979 divided by 5\nAnswer: 2979\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 0 + 0 - 4 - f + 4 + (-2 + 3 - 3)*(-2*f - 4 + 4) - 188*f + 371*f + 244*f.\nAnswer: 432*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 52, 50, 46, 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, -1, 3 in decreasing order.\nAnswer: 3, 2, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*z + 23 = 0, -n - 116*z + 27 = -111*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31530 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0. Which is the closest to -1? (a) 2\/17 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3799160 * -0.03.\nAnswer: -113974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0.2. Let k = -0.1 + 0.1. Let l = 0.51827 + -1.01827. Sort l, a, 1\/4, k in descending order.\nAnswer: 1\/4, a, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11146 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 258090803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r + 20 = 4*c, -2*r = 3*c - 11. Suppose -l = 3*i - 5, 0 = -i + 2*i - r*l - 6. Suppose i*f = 20 + 86. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-73)\/(3 + ((-5)\/(-165))\/((-3)\/300)) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476 and 8302.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 59*x**3. Suppose 10 = 2*c + 22. Let n be (-9)\/c*4\/6. Is 16 a factor of w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 + 193. Solve u = -n*j - 10, 2*u = 4*u - j - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = 0. What is the remainder when 25 is divided by (b - -1)\/(2\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*h - 1874 - 1230 = 958 + 1013 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**3 + 7*g**2 - 10*g + 3. Let m be u(3). Suppose -m = 8*f - 25*f. Calculate the greatest common divisor of 81 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 4. Suppose 4*t - 8 = -24. Let n be i(t). Let o = 13.708 - 6.708. Which is the closest to 0? (a) o (b) n (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 4, o: 2, u: 4, e: 1, c: 1}. Give prob of picking 1 c, 1 w, and 1 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46942, -93568, -140194, -186820, -233446, -280072?\n\"Answer: -46626*v - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*h + 2*z, 17 = -5*z + 42. Find the third derivative of v**6 + 25*v**5 - 25*v**5 - h*v**2 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/7 - 11938*n**4\/7 - 83434*n**3\/7 + 202690*n**2\/7 - 107316*n\/7 = 0. What is n?\nAnswer: -5962, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14281, -14289, -14309, -14347, -14409, -14501, -14629?\n\"Answer: -n**3 - n - 14279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3, -10, -1\/29, 1, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12+-8.13\nAnswer: 3.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3, 8207 in ascending order.\nAnswer: -3, -2, -1, 8207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -10\/3. Let z = -64 - -61.3. Let u = 2.1 + z. Are u and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/60 + 7*v**4\/24 + 7*v**3\/6 - 2*v**2 + v. Let u(y) be the first derivative of b(y). What are the prime factors of u(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -52. Solve -a*o - 2*o = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 66*g)*(16 + 0 + 3) in the form a*g + z and give a.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 48\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliiyiiiiiiyiiyiiiii. What is prob of sequence yii?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 6*o + 29525 = 29432, 0 = q - 2*o + 17 - 6 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 - 0 - (6 - (14 + -15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1165751418?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 14) to base 4\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0288981959 to five decimal places.\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/280008 and -61\/16555473.\nAnswer: 132443784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73801764373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -313204?\nAnswer: -313224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10987152 divided by -1831192\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1\/3, 3, -2\/7653, 1\/4, 11, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -0.1, -4\/17, 221\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/13 - 500*y\/13 = 0 for y.\nAnswer: 0, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 300.04 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4))\/((-130)\/312). Let b(q) = 4*q**2 - 2*q + 1. Let o be b(1). Find the second derivative of -o + 3 + c*z - 2*z**2 wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**7\/462 + j**6\/330 - j**5\/55 - j**4\/33 + j + 746. What is i in m(i) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4466 or -4463?\nAnswer: -4463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 1. Let m = -0.22 - i. Let f = m + 0.32. Which is the closest to 0? (a) 4 (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6113.99977124 + 6114. What is g rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 147. Let l be b(34). Solve 4*t + q = -l, 15 + 6 = -4*t + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 124.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -380?\nAnswer: 37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/2 - 193*r + 384 = 0.\nAnswer: 2, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 3. Calculate the smallest common multiple of o(3) and 12\/10*(7 - -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 6*c**2 - 41. Let y be g(-7). Calculate the greatest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 4*p + 4. Suppose q = -74 + 77. Give w(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9341.3322512 - 109.2322612. Let u = -9232 + v. Let t = u - 0.1. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l. Let i(t) = 7*t**2 - 668*t - 174. Let p(c) = -6*c**2 + 670*c + 145. Let o(r) = 5*i(r) + 6*p(r). Give m(o(d)).\nAnswer: 6*d**2 - 4080*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -45. What are the prime factors of (-36)\/(-8)*x\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-13\/4))\/t**(2\/29))**(1\/40))**(-10) assuming t is positive.\nAnswer: t**(269\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14*1\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*o - 96*o + s + 18 = 0, 2*s - 20 = 3*o. Sort -4, -5, 4, o.\nAnswer: o, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (52 - (-9 - -31))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65139741 minus -0.0287?\nAnswer: 65139741.0287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325031112 a multiple of 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88026 + -88032.6961. Let r = s + 6.7. What is r rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-714)\/444) - (-6)\/14. Let h(b) = 2763627*b + 103. Let p be h(t). What is p rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -535022*z**4 + 2*z**3 - 5637*z - 71?\nAnswer: -6420264*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1392\nAnswer: 278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 24*z - 49. Suppose 0 = -2*q + 2*l - 28, q + 3*l = -4*q - 118. Give o(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2367222 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -595 + 590. Put b, 2, 0.3, 3 in ascending order.\nAnswer: b, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -28 (b) 1\/12 (c) -0.116 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/3 (c) 5 (d) -1 (e) 0.1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18984a4 (base 11) to base 10.\nAnswer: -3202984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**3 + 7*p**3 + 5*p**3 - 24*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6018 divide 717159042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/26864 and 123\/960388?\nAnswer: 3841552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 5)*(-8)\/(-2). Let g = 4 + h. Let v = -25 + 41. Calculate the smallest common multiple of v and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -67*z**6\/120 + z**5\/30 - 3*z**4\/8 - 7*z**3\/3 + 227*z**2 - 2. Find the second derivative of n(v) wrt v.\nAnswer: -402*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3323545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 2*z - 11, 4*z + 4 = 0. Let t be (g\/16*2)\/(3\/6). Let u = -16\/107 - -538\/5029. Is t greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/6 + w**2\/2 - 4*w. Let s be z(5). Let b be s*3*11\/6. Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 + 6. Let m = 51 + -46. Is j(m) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u - 72365 = -3*x - 63*u, x - 24119 = u. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r**2 + 15*r - 36. Let f(z) = -3*z**2 - 2*z + 5. Let i(b) = 30*f(b) + 4*t(b). What is the first derivative of i(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 + 78 + 2732*s + 80)*(3 - 2*s - 3).\nAnswer: -5464*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 5*k**7\/42 - 19*k**6\/12 + 8*k**5\/5 + 31*k**4\/12 + 7*k**3\/6 + 241*k**2. Factor u(p).\nAnswer: (p - 7)*(p - 1)*(5*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80b + 0?\nAnswer: 80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 416.646 millennia?\nAnswer: 4999752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = 22*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255\/(-85)*(-2)\/(-6)*(-33)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Suppose -y + 4*i + 18 = n, y = -0*i - 3*i - 10. Solve 12 = -y*d + 3*b - 0, -2*b = -5*d - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 48. Let g be (0*4\/t)\/(-1). Suppose 4*o - 5 - 10 = -a, -2*o - a + 7 = g. Solve 0 = 4*f + o, -5*p - 3*f = -7*f - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 191*c - 190*c + 5*c**4 - 2*c**5 - 3*c**5 - 48 wrt c?\nAnswer: -100*c**3 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12779 and -108564.85?\nAnswer: 121343.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 464\/80 - (-4)\/(-5). Suppose -c*d = -d - 12. Calculate the least common multiple of 11 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755229*t**3 + 5 - 3755180*t**3 - 5.\nAnswer: 49*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 647, 649, 657, 677, 715, 777, 869, 997?\n\"Answer: a**3 - 3*a**2 + 4*a + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) - (sqrt(11) + sqrt(55)\/sqrt(5))*-2).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.032 - -27.968. Let m = n - 28. Let p(g) = g**2 + 13*g + 17. Let y be p(-12). Which is the closest to m? (a) 3 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 40) + 2 + 2 + -36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740953747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 + 41651160*j - 108426195584100 = 0. Calculate j.\nAnswer: 5206395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from dddddmm.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4837\/20 + 965\/4. Put u, 1\/5, 2\/17, 59 in decreasing order.\nAnswer: 59, 1\/5, 2\/17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x + 4. Which is greater: -4\/11 or x?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 477*y + 4290. Let q be n(-9). Put q, 3, -584 in increasing order.\nAnswer: -584, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13290 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/3*(-7)\/(-147)*6*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*f = -116 + 134, f + 7 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 1.23. Let w = g + 0.17. What is the nearest to 2 in -2, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -267.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3103, 39, -1, -4 in descending order.\nAnswer: 3103, 39, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/20)\/(4\/(-2))*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:03 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058115256.\nAnswer: 2, 23, 11185409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200800 and 602400.\nAnswer: 602400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, w: 2, o: 3}. Give prob of sequence ocw.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(1 - 0)*395\/(-20). Suppose -d + k - f = -3*d, 0 = -3*d - 2*k + 120. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7617 divided by -696.\nAnswer: 2539\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scsssscssfeessfcsef. Give prob of picking 1 c, 1 e, and 1 s.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 3*j - 7 = 22*h, -h - j + 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 14*j**2 + 0*j**3 + 3*j**3 + 8*j**2 + 9*j**2 to g + r*j**3 + u*j + b*j**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 731, 4, -3.\nAnswer: -3, -1, 4, 12, 731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/80 - 3*l**4\/4 + 4*l**3 - 25*l**2. Factor q(v).\nAnswer: 3*(v - 2)**2*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-72))\/(69\/(-6))*4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 49*y**2 - 21*y - 31. Let h be u(-11). What is the greatest common divisor of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(200)\/(sqrt(4)*-1)*-6)\/(sqrt(1000) + (sqrt(1000) - 2*sqrt(1000))*2 - sqrt(1000)).\nAnswer: -3 - 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 5, o: 1, d: 1, u: 4}. Give prob of picking 1 u, 1 r, and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a. Let z(w) = 2*w**2 - 10*w + 10*w. What is x(z(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 267 = -45*l + 3*v, -4*l = v - 1029. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*p - 14*p + 23*p - 420 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 + 6*d - 5. Let u be b(-7). Suppose u*x - 149 = -3*x + i, 0 = x - 3*i - 41. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21341057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 776*s**3*u + s**3 - 20*s**2*u - 20*s**2 - s*u + 4*s - 2479485 wrt s.\nAnswer: 4656*s*u + 6*s - 40*u - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 11*c**2 - 5*c**2 - c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 26 = -4*w. Let n(m) = -2 - 2*m**w - 27*m + 31*m - 6 - 4*m**2 + m**3. Let d be ((-8)\/16)\/(1\/(-12)). What is n(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**2 + 2*w**4 + 3*w**3 - 3 + 0*w**4 + 6*w**2 - 16*w**2 to j*w**3 + z + n*w**4 + p*w**2 + u*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10745 is divided by 114.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + 1)*2\/6. Suppose y = -2*x + n + 3, 5*x + 2*n - 16 = 0. What is the units digit of 69\/9*(x - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 942, 1105, 1374, 1755, 2254, 2877, 3630?\n\"Answer: y**3 + 47*y**2 + 15*y + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j + 1040000 = 0. Round j to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 1058 - 8954. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2\/(-116) - 0) + 13500\/(-56550).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 125*j**2 - 2.\nAnswer: 125*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7263\/8 - -5433\/8. Which is greater: l or -230?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0*n = -4*n + 182, 3*t + 4*t - 4*n = -258 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 149, 210, 275?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/2)\/(1\/(-2)). Suppose f + 2*f - y = 0. Solve -2*q = l + 4, -3*q - f*l - 1 = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*y**2 + 349 + 2*y**4 + 148 - 114*y**2 in the form i + x*y + t*y**2 + m*y**4 + b*y**3 and give i.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 2*b**2 + 0*b**2 - 6*b**2 - 3*b**2.\nAnswer: -11*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -402, -404, -406, -408, -410, -412?\n\"Answer: -2*c - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znc when three letters picked without replacement from ccdkdzcznz?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1712 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16548 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 409*f**2 - 854*f + 147812. Calculate q(-406).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*18653\nAnswer: -9326.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -503394682 or -503394681?\nAnswer: -503394681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (4 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-84))\/(6\/27)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i + 310. Does 11 divide l(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4\/105, -6.3, 4, -0.3?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 244 = -2*n - n. Is 325\/9 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbfffffffbfffffffff. What is prob of sequence bffb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3935 - 3935.02647. Round y to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + m**3 - 3*m**3 + 3*m - 3*m - 4*m**3 + (5*m + 3*m**2 - 5*m)*(2*m + 2*m - 3*m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g, -3*u - 2127*g + 135 = -4253*g + 2128*g - 25 - 89 for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let l(y) = -4*y**3 + 7*y**2 - 10*y + 19. Let p(g) = 3*b(g) - l(g). Let z(x) = x**2 - 1. Let d be z(-3). Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + z - 11 + (-z + 2 - 2)*(4 + 1 - 1) + (-3 + 4 - 2)*(3*z - 4*z - z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 7}. What is prob of picking 2 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45886964209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -157, -176, -211, -268, -353?\n\"Answer: -c**3 - 2*c**2 - 6*c - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*k + 3531139*f + 5*k**3 + 57970*k wrt k.\nAnswer: -f + 15*k**2 + 57970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*f - 5*f + 75, 4*f + 5*d - 145 = 0. Let y(g) = g**2 - 87*g + 101. Let t be y(86). Calculate the greatest common divisor of f and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 a factor of 71421084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-2 - 1 + 4)*(20*r + 11*r - 10*r).\nAnswer: -63*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8330434794 to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 11*g - 85. Let h be (-6)\/(-4) - (-235)\/94. Solve -h*x = -g*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3439, -8750, -15847, -24730, -35399?\n\"Answer: -893*x**2 - 2632*x + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*d - 260 = 0, 3*f = -0*f + 2*d + 268. Let x = f - 23. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -43*w - 5. Let r(q) = 21*q + 2. Calculate 3*m(f) + 7*r(f).\nAnswer: 18*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 31. Let c be (42\/l)\/(3\/(-20)). Solve 5*r + 4*q = 29, -4*r - 2*q = -c - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*h - 18 = 0. Let k be (-40)\/(-15) + (-4)\/h. Suppose -k*p = -85 + 1. Calculate the greatest common factor of 147 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, 2439071.\nAnswer: -5, -3, 3, 2439071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 20303231?\nAnswer: 20303231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from {t: 6, c: 3, n: 3, m: 1}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -175, 5, -5, -1, 11.\nAnswer: -175, -44, -5, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304931, -304983, -305075, -305207, -305379, -305591?\nAnswer: -305843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11403 + 0?\nAnswer: -11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/6 (b) 0.05 (c) 0 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 5*b**2 - 2*b + 4. Let q be p(4). Suppose 6*a - q*a = -318. Calculate the remainder when a is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5954 weeks in seconds?\nAnswer: 22132897.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 11:58 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8672954 and 10882?\nAnswer: 8672954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622.095142 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/(-33) - (-1 + -1). Let v = 8 + -6. Sort v, p, -2\/5, 1\/2 in ascending order.\nAnswer: -2\/5, p, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/184504 and 119\/20?\nAnswer: 922520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -367 + 734. Differentiate r*s + s**2 - 119 - 352*s + 41 with respect to s.\nAnswer: 2*s + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 6*m + 3. Let x be w(-6). Suppose 6 = -3*v + 6*v. Suppose x*b = g - 5*g + v, -g - 9 = -4*b. Solve b*c = 6*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-81)*(-6)\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 16 = -o + 4*w, 4*o + 3*w = 66. Suppose 0 = 2*q - i + 3 - o, i - 1 = 0. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 38 = 46 - 40 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 31, 33, 35, 37?\n\"Answer: 2*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88873 is divided by 803?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 divided by -13?\nAnswer: -874\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/56, -25, -2119 in descending order.\nAnswer: 1\/56, -25, -2119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (53 - 115) - -67.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 96*a + 180.\nAnswer: 3*(a - 30)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37.25128 decades?\nAnswer: 372.5128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 3 - 10092*z.\nAnswer: -10092*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10568, 0.5, 0.138 in ascending order.\nAnswer: -10568, 0.138, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -88*a - 9241. Give f(-105).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/7 - 10*w**4\/7 + 1093*w**3\/7 + 1102*w**2\/7 = 0.\nAnswer: -38, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7023510 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/3 - 2*p. Let l(i) = -34*i**2 - i - 18*i + 19*i. Calculate a(l(f)).\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drl when three letters picked without replacement from lcltlkkdltclrrlll.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (-10 - (-16 - (-6 + 11))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:54 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2))**(-1\/9))**(-26\/3) assuming u is positive.\nAnswer: u**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.1\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 599 and 2785949?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 6*b - 3. Let s be g(-4). Let o = 14 - s. Suppose 4*u - 15 = 4*q + o, u + 4*q + 4 = 0. Calculate the least common multiple of 6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 - 19)\/((-2)\/3). Suppose -5*o + 13 - j = 0. Suppose -o*y + 8 = 4. Solve 3*s - 19 = 5*z, -y*z = -0*s - 4*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55294760 or -55294759?\nAnswer: -55294760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khddhbdbhd. What is prob of picking 2 h and 1 k?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3985, 42 in descending order.\nAnswer: 3985, 42, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2069, 4724, 7925, 11666, 15941?\nAnswer: 20744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40869, -81713, -122557?\nAnswer: -163401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70114 by 2.\nAnswer: 35057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*k + 2*k. Factor -42*d**2 + 13*d**4 + k*d**3 + 7*d**4 + 50*d**2.\nAnswer: 4*d**2*(d + 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Let m be (-1 - -36)*(d + -4 + 7). What is the highest common divisor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 54 (b) -2\/11 (c) 1\/3 (d) -237 (e) -0.5 (f) 4 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0*r**2 + 29\/6*r**4 - 233*r + 0 + 0*r**3 + 0*r**5 - 8\/3*r**7 + 0*r**6. What is the third derivative of u(o) wrt o?\nAnswer: -6720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40758 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(50))\/sqrt(10) + -4 - (2 + sqrt(605) + 2)**2)*-5.\nAnswer: 430*sqrt(5) + 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121 + 2010?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let d(z) = z**2 + 3*z - 6. Give d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 10:58 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*b - 19 + 74, -3*i - 3*b + 105 = 0. Let y be 168\/(-20)*i\/(-12). Let t = y + -9. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let r be d(-4). Let j(f) = -f**2 - 3*f + 10. Let c(w) = 152*w**2 + 0*w - 2*w + 9 - 153*w**2. Let l(n) = r*j(n) + 5*c(n). Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 423 + 407 - 97*j - 841 to d + n*j and give n.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 7. Let h(j) = -2*j + 15. Let y be h(w). Suppose -4*z = z. Put -5, y, z in descending order.\nAnswer: y, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835) + sqrt(2835)*4 + sqrt(2835))\/(sqrt(20)\/(sqrt(4) - sqrt(16))))**2*-2.\nAnswer: -40824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s + 0*s)*(0*s**2 - 3*s**2 + s**2) + (5*s**2 - 2*s**2 - 2*s**2)*(-2*s + 2 - 2) + 3*s**3 + 0*s**3 - 2*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -148045559, -148045552, -148045539, -148045520, -148045495, -148045464?\n\"Answer: 3*s**2 - 2*s - 148045560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 121602*m. Let t(w) = 4*w**2 - 37*w. Calculate t(a(n)).\nAnswer: 59148185616*n**2 - 4499274*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, -11, -151.\nAnswer: -151, -11, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 12*g**2 - 11*g - 26. Let p be f(11). What is the thousands digit of -8 + 1326\/169 + (-28136)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.6. Let g = -1.3 + 2. Let y = -0.9 + g. What is the third smallest value in 3, v, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 59. Find the second derivative of -b + 12*b - 2*b - b + u*b**2 wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfar when four letters picked without replacement from nrnffirea.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638532808 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56803 + -36505. Does 398 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16140976 divided by 20908?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g + 16*g - 10*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 21 = 3*v, -v - v - 6 = -3*w. Suppose w*u = 3*u + 48. Suppose -u = -2*r - 2*r. What is the smallest common multiple of 20 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1025221 (base 6) to base 9.\nAnswer: -76134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -334.5123?\nAnswer: -333.5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:10 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93330656987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -444793850.13290037 + 444773675.6639. Let m = x - -20174.49. Let r = m - 0.021. What is r rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/103 (c) 4\/3 (d) 16253 (e) -0.3 (f) -1\/9 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 2*j + 2. Is r(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5)**(2\/7))**19 assuming y is positive.\nAnswer: y**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 203564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 67. Let u(b) be the second derivative of 4*b**3 - 5483*b. Calculate c(u(i)).\nAnswer: 48*i + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -22 (b) 0 (c) -2\/9 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, -1\/18, 35, -1\/2?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278*q**3 - 4785*q**2 + 2707817*q.\nAnswer: -1668*q - 9570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4 + 1)*2. Let b be 3 - (3 - (2 + 0)). Suppose -q = b*q - 3. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:59 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 22 = 65. What is the tens digit of ((-3)\/(-1) - 2)*(0 - z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9302021273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1183 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4508 + -4?\nAnswer: -4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-1))\/(6\/15). Let l = x - -10. Suppose -l*a = 0, -2 - 28 = -5*v + a. Solve -7*s + 2*z - 2 = -3*s, -5*s - z = v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7996 + -199901\/25. What is the second biggest value in 2\/15, -2\/9, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**6\/120 + j**5\/30 - j**4\/8 + 21*j**2\/2 - 37. Let m(l) be the second derivative of z(l). What is the units digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(384) - (sqrt(13) - (4 + sqrt(1872))) - 4*(-2*sqrt(13)*-6 + sqrt(104)\/(sqrt(24)\/sqrt(3))))**2.\nAnswer: -327*sqrt(13) + 1391101\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 299*b - 299*b - 13*b**2 + (-4 - 2*b + 4)*(-2*b + 3*b + 16*b)*(-32 - 13 + 28) + 0*b**2 - 4*b**2 + 2*b**2.\nAnswer: 563*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 29 - 14)*(-20*z**2 - 15*z**2 + 2*z + 28*z**2) in the form l*z**2 + w + o*z and give l.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*y + 10 - 8 + 792*y + 790*y.\nAnswer: 988*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 33, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:58 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/13 + 18*o**3\/13 + 8*o**2.\nAnswer: -2*o**2*(o - 13)*(o + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310.9279 + 334.143. What is u rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9)*(-15)\/14. Which is the third smallest value? (a) -2\/7 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -84922?\nAnswer: -84928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*z - 2125 + 6594. Calculate the remainder when z is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 6, 20, 38, 60, 86, 116?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-49)\/(g\/g**(-5\/3)*g*g*g**(4\/9)*g) assuming g is positive.\nAnswer: g**(386\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2103221, 2103225, 2103229, 2103233, 2103237?\nAnswer: 2103241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 22*t**3 - 3*t**2 - 3*t - 5281. Let l(w) = -7*w**3 + w**2 + w. What is 3*l(x) + s(x)?\nAnswer: x**3 - 5281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142529941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-38)*(-5)\/((-75)\/12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/55 and 41\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/5756508 and 109\/22.\nAnswer: 63321588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1182 + 1752. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 0. Let q = 5.3525 + -5.3. Let h = i - q. What is h rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/8 or 0.41719839?\nAnswer: 0.41719839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u + 5. Let s = -420 + 411. Give t(s).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8767\/711 - -2\/711. Let k = h + -13. Put -4\/3, k, -0.5 in decreasing order.\nAnswer: -0.5, k, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-15))\/(6\/54). Let v = -2.98 + -0.02. Which is the third biggest value? (a) 2\/9 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -48.09.\nAnswer: 5.7708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*o**2 + 4)*(-2*o - 6*o + 18*o + (-1 + 4 - 1)*(o + 2*o - 4*o)) in the form d*o**3 + h*o**2 + p + t*o and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/4 + -2 - 394\/(-504). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -5. Suppose 0 = -7*d - d + 160. Let n = r + d. Solve n*p - p = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Let h be 3\/((-1)\/2 - -2). Suppose 4*k = -5*d + 41, -5*d = v*k + h*k - 40. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 253419485?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:37 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -120, -3, -5\/6?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.94014 - 0.999149. What is p rounded to 3 decimal places?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*z**4 + 54913*z**3 + z**2 + 18020998*z?\nAnswer: 84*z**2 + 329478*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**5 - 22*h**4 + 972*h wrt h?\nAnswer: -200*h**3 - 264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 185*n**4\/2 + 188*n - 590. Find the first derivative of y(f) wrt f.\nAnswer: 1110*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyovnernyyeyre. What is prob of picking 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 1)\/((-2)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*y**3 + 1 - 114*y**3 + 6*y - 1 as h + m*y + i*y**2 + j*y**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 152 = -163. Let z = -538\/3 + 181. Does l = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:07 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 5. Let j be z(8). Let q(d) = -d**3 - 2*d**2 - 4. Let l be q(j). Factor 3*u**5 + 0*u**4 - 4*u**l + 2*u**4 - u**4.\nAnswer: -u**4*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 14*h**2 - 21*h - 94. Calculate f(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -571\/2 - -285. What is the smallest value in -2\/25, -6, -5, b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/884780 and 65\/332.\nAnswer: 884780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 149*r**3 - 2*r**2 + 2*r - 1. Let x be k(1). Let w = x - 60. Suppose 0 = -0*m - 4*m + w. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -84, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:57 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19887286 divided by 2?\nAnswer: 9943643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3 + 6 + c**2 + 9*c**2 - 3*c - 2*c. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15410.9 seconds in microseconds?\nAnswer: 15410900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p - 1. Let y(o) be the first derivative of o**3\/3 + o**2 + 2*o + 3. Let f(j) = 2*d(j) + y(j). Let r(x) = -4*x. What is f(r(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81888*j**3 - 6*j**2 - 137*j - 5 wrt j.\nAnswer: -491328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19109 - 95998\/5. Let k = t - -91. Which is the third smallest value? (a) 3 (b) 0.7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21 - (-2)\/(5262\/327 + -16). Suppose 112\/5*i + 32\/5*i**3 - t*i**4 - 92\/5*i**2 - 48\/5 = 0. Calculate i.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 8*g - 15. Let j be q(6). What is the units digit of j - (2\/(-1))\/(4\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Let s(n) be the third derivative of -9*n**5\/10 - 1849*n**2. Determine h(s(y)).\nAnswer: 5832*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -3*g. Suppose 4*s + 5*h = h, -2*s - 3*h = -g. Which is the third biggest value? (a) -4 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 + 218*h**2 - 2*h + 7. Let b(w) = 2*w**3 + 73*w**2 + w + 2. Give 7*b(d) - 2*g(d).\nAnswer: 2*d**3 + 75*d**2 + 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) -6272 (c) 5519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62511 is divided by 20544.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236351\/8 + 29543. Is -9\/7 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*p**3 + 160*p**2 - 31326 wrt p.\nAnswer: -78*p**2 + 320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/234*2*-6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 5*b + 47 - 40 - b**2. Let d be c(-7). Suppose -5 + 1 = 4*t. Sort 4, t, d in increasing order.\nAnswer: t, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 36 = -2*u + 82 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08151 and -0.11.\nAnswer: -0.02849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-11)*h*h*h*h*h*h*h**18)**(-42))**(-20) assuming h is positive.\nAnswer: h**30240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -16. Let n(m) = -3*m**2. Suppose 0 = -8*g + 11*g - 48. Suppose 0 = 4*z + g, 12 = 4*f - 2*z + 4*z. Let a(r) = -r**2. Determine f*a(d) + k*n(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:39 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(190) - 2*sqrt(190)) + 2*(sqrt(190) + 1*sqrt(190) + sqrt(190)))\/((sqrt(10) + sqrt(450)\/sqrt(5))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/43 + 14\/129. Sort h, -1\/2, -0.03, 2.\nAnswer: -1\/2, -0.03, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 11*h**2 - 2*h + 24. Let l(q) = -q**2 + 14*q - 12. Suppose 3*r - 4*r = -12. Calculate the remainder when n(-11) is divided by l(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 5*u - 5*u + 28*u - 5*u - 172. What is the tens digit of d(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*w = 10141, 2*x - w = 12473 - 2350. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 1, x: 1}. What is prob of sequence cmc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9045 by -1809.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 377402351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72.004? (a) 0.072 (b) 4 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-6))\/((-3)\/(-6)). Suppose 5*u + 4*i + 87 = 0, -f*u = -3*i + 20 + 46. List the prime factors of -2 - (-4)\/((-12)\/u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 6. Let d be u(-6). Suppose -5*c = 2 - d. What is the units digit of (-3 + c)\/((-3)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -23\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*u - 46. Suppose -s = -u*l - 14, s + 3*s - 2*l - 14 = 0. Let b(k) = -39*k - 5*k**s + 39*k. Let m(c) = -2*c. Determine m(b(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/((-6)\/2) - (2620720\/1428)\/(-235).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163968*g**3*j + g**3 + 49768*g**2 - 6*j wrt g?\nAnswer: -983808*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11700 and 6629220.\nAnswer: 33146100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) - (3 + -3). Suppose -3*j - 3 = z, j = 5*z - y*j + 55. Let v be -6*(6\/z)\/2. Solve -a - 6 = v*c - 4, -4*a = 5*c + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 433*t**2 + 2*t + 429*t**2 - 3*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + n - 5, n - 22 = -27 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687317500 rounded to the nearest one million?\nAnswer: 687000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637160 bigger than 27822959\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1\/(-2))\/((-30)\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5520 divided by -5?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6192 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010 - 122?\nAnswer: -100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2408, 2406, 2404, 2402, 2400?\n\"Answer: -2*p + 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7395278 and 30559?\nAnswer: 7395278","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**2\/2 - 26641881*g + 53283759\/2 = 0.\nAnswer: 1, 17761253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**3 - 4 + 4\/3*t**5 + 4\/3*t**4 - 44\/3*t - 56\/3*t**2.\nAnswer: 4*(t - 3)*(t + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4012, -4019, -4038, -4075, -4136?\n\"Answer: -j**3 - 4011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**11*m**(-3\/7)\/m*(m**(-1\/5))**(14\/3) assuming m is positive.\nAnswer: m**(907\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13*p + 3872 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 14873*n + 59470. Calculate p(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 3. Let t be k(-3). Let b = t - -4. Sort b, 5, -4.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -15. Find the second derivative of -2*g**4 - 3*g**4 + 4*g**4 + g - s*g wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(40\/(-72)) - 1241\/(-146).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 115, -10, 2\/7, -0.29?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n - 32*n - 1 + 8 + 3*n**2. What is the units digit of w(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.095377988?\nAnswer: 0.404622012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(13\/3)\/(j*j**(2\/19)) assuming j is positive.\nAnswer: j**(184\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.07 (b) 0.02 (c) -8\/15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/2 + v**3 - 2*v**2 + 3*v + 9. Let c(k) = -k**3 + 2*k**2 - 3*k + 2. What is -3*c(f) + 2*l(f)?\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8220.89ug?\nAnswer: 8.22089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1526553*-14\nAnswer: -21371742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*b + 24 = 2*t, 0 = 2*t + 2*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 236*b\/3 - 394397\/3.\nAnswer: (b - 757)*(b + 521)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/(-48))\/((-2)\/(-16)). Solve 0 = 5*l + 2*h - 7 - 11, d = -5*l + 5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185198 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 135, 319, 823, 1809, 3439?\n\"Answer: 27*r**3 - 2*r**2 + r + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1421813, 1421811, 1421809?\nAnswer: 1421807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**4 + 0*p**2 + 1\/3*p**3 + 0*p + 0*p**5 - 1\/7*p**7 + 0*p**6 + 5. What is the third derivative of y(r) wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < 59\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-100)\/132 - (-8)\/12. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38433 (base 15) in base 10?\nAnswer: -179823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1049*w**4*y**2 + w**3 - 20*w**2 - w*y**2 + 26180*w*y wrt w.\nAnswer: 12588*w**2*y**2 + 6*w - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/(-8) - (-4 - -7) and -137\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8425 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r + 18*r - 52*r - 2543 = -233 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158070361 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84074, -168149, -252224, -336299, -420374?\nAnswer: -504449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010572438 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960182 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/8*289\/4335\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and 596.\nAnswer: -226.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579802 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**9\/504 + w**6\/30 + 4*w**5\/15 - w**2 - 8*w. Find the third derivative of q(k) wrt k.\nAnswer: -120*k**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*g = -6*g - 8416 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -183, -1, -4, -5 in ascending order.\nAnswer: -183, -5, -4, -1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572732514.\nAnswer: 2, 11, 116942387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {c: 7, j: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -17*d + 20*d. Suppose -3*m - d = -72. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2593, 40.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/704 (b) 0 (c) 2 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*o - 2 = 2*o, 10 = -3*p + 5*o. Let l(d) be the first derivative of 4\/21*d**3 + 2\/35*d**5 + p*d + 0*d**2 + 2 - 3\/14*d**4. Factor l(u).\nAnswer: 2*u**2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10437 and 4615653?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32792 by -1072.\nAnswer: -4099\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 6}. What is prob of picking 3 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*k + 65 = -477*k. Suppose -12*w + 22 = 82. Put w, 17, 1, k in decreasing order.\nAnswer: 17, k, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**4 - 853*h**3 + 76*h**2. Let v(x) = -3*x**4 - 851*x**3 + 77*x**2 + 2*x. Let y(g) = 5*o(g) - 4*v(g). Find the third derivative of y(f) wrt f.\nAnswer: 48*f - 5166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4, -55 = -r - 4*y + 10. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 1\/3*z**3 + 5\/12*z**6 + 0*z**2 + 9\/8*z**5 + 0 + z**4 - 8*z. Factor q(f).\nAnswer: f*(f + 1)*(5*f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/72 - j**3\/18 + 2*j + 3. Let m(o) be the first derivative of h(o). Factor m(i).\nAnswer: -i*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -123, -193, -315, -495, -739?\n\"Answer: -a**3 - 20*a**2 - 3*a - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-96) - 11374\/(-2256). Let k be (-4)\/14 + 24\/(-14). Put 2, m, k, -5 in descending order.\nAnswer: m, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 57. Let z be 296\/10 - 20\/r. Let j be z\/9*(-3 - 48\/(-10)). Solve -3*c - 18 = -j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 16. Let d(m) = -2*m + 5. What is 11*d(p) - 4*z(p)?\nAnswer: 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49258*x**5 - 596*x**4 + x**3 + 16868*x - 1705?\nAnswer: -985160*x**3 - 7152*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -39 in ascending order.\nAnswer: -39, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 12. What is the smallest common multiple of n and (-13)\/(-1) + 0 - -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -99, -150, -201, -252, -303?\n\"Answer: -51*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-5 - -6 - 24).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18986696 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/z**0)\/((z\/((z\/(z**(1\/4)*z)*z)\/z))\/z*z**14) assuming z is positive.\nAnswer: z**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + (0 + -4 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 - 12 = 0. Let h be 33*(12\/(-9))\/(-4). Let p(g) = -h*g + 18*g - 8*g. Determine p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 798 - 17430 = 0. Let h = j + -166281\/20. Find the common denominator of h and (1\/2)\/((-12)\/636).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/3 - 2145*b + 6434\/3 = 0. Calculate b.\nAnswer: 1, 6434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377102531.\nAnswer: 3, 7, 65576311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6436 + -1783. List the prime factors of x.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 + 45*b**4 + 225*b**3 + 435*b**2 + 360*b + 108.\nAnswer: 3*(b + 1)**3*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56289, -112576, -168863, -225150, -281437?\n\"Answer: -56287*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrtu when four letters picked without replacement from {u: 1, r: 3, x: 1, q: 4, t: 2}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96851197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -462 + 467. Suppose k + 12 = -z. Which is the second biggest value? (a) 3\/7 (b) -1\/2 (c) z (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 5*l - 25, -3*m + 501*l - 491*l = 50 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 9585*n**2 - 4598400*n + 4588820.\nAnswer: -5*(n - 958)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -7 (c) -2\/9 (d) 186\/41 (e) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67171009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose 0*p - 84 = -z*p. Suppose 3*t - 67 + 31 = 0. What is the remainder when p is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -233.1, -1.4, 2\/35, -3\/4 in descending order.\nAnswer: 0.1, 2\/35, -3\/4, -1.4, -233.1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 27*q**2 - 5*q**2 + 50*q**2.\nAnswer: 65*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -20 + 2 + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - b + 37, 0 = -2*t + 4*b - 3*b + 31. What is the highest common factor of t and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1001101110?\nAnswer: -1001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -165*j + 51*j**2 + 491*j - 65*j**2 + 324 + 16*j**2 = 0.\nAnswer: -162, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/3 + 17*t**2\/2 - t. Let x be z(-7). What is the derivative of -13*i**3 + 19*i**3 - 5*i**x - 13 wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*u + 4*w, 3*u - 3*w - 11 = -32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3732329 - 22774671491\/6102. Calculate the common denominator of p and 31\/162.\nAnswer: 18306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 11 + 1. Let w be (-2 + 0)\/(4 + (-66)\/15). Suppose -w*s - 25 = 0, -9 = -4*m + s + 4. Solve -x - 5 = -j*k + 2*x, -m*k - 9 = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (2 + 0 + -9) - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**0)*q)**(-44)*((q\/((q*q\/(q*(q**(-2)*q)\/q))\/q))\/q*q)**(-23) assuming q is positive.\nAnswer: q**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32627299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -14, 31 in decreasing order.\nAnswer: 31, 3, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1293 - 354*i**5 - 4821*i**5 - 1078*i**5 - 4*i**2 - 1537*i**5 + 1132*i**5 wrt i?\nAnswer: -399480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g - 20. Suppose -4*p = -g*x + 12, 0*x = -2*p - 4*x + 18. Is p smaller than 1\/182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 1802628.9?\nAnswer: -1802628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -753079\nAnswer: 1506158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwx. What is prob of sequence xwx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16160 + -16070 + -1 + -47.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -5*(-8)\/40. Suppose v + 4*v = 60. Let q be (6\/v)\/(0 - r). What is the second smallest value in q, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84332*p - 1015556 wrt p.\nAnswer: 84332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 851, 1275, 1699, 2123, 2547?\nAnswer: 2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21906999 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 16 - (62 - -53 - 112)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r + 16 - 3*r**3 + 3 + 1. Suppose 18*m = -13*m - 186. Let v(z) = -z**3 - 4*z + 7. Let q = -16 + 33. Give m*a(s) + q*v(s).\nAnswer: s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/21776 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130019.\nAnswer: 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + -2*sqrt(567) + 5 + sqrt(567) + 1*(sqrt(567)*-1 + sqrt(567)))**2 - (-1 + 4*sqrt(70)\/(sqrt(250) - sqrt(10)))) + 4.\nAnswer: -sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = -5*o - 5, -5*v = -3*o - 5. Calculate the greatest common factor of 73 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1883086 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 36*w - 12. Calculate m(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -805, -1077, -1361, -1663, -1989, -2345?\n\"Answer: -v**3 - 265*v - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x + 2*x + 29 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1076655 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 1)*(0*k**2 + k**2 + k**2) to the form q*k + c*k**2 + h and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2\/7, 2\/19, -7, -107 in descending order.\nAnswer: 2\/7, 2\/19, 0.05, -7, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*w + 411*w = -6. Find the second derivative of 119*i**2 - 146*i - 13*i**2 + w*i wrt i.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 10*t**2 - 16*t - 9. Let x be j(5). Suppose -3*w - 24 + x = 0. Let h(m) = 3*m - 16. Determine h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/15)\/(o\/((o\/(o\/((o**12\/o*o)\/o))*o)\/o)*o*o))\/((o\/o**8)\/(o**2*o)) assuming o is positive.\nAnswer: o**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1396030 and 1370.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 6, k: 2, r: 2}. Give prob of picking 2 e.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610542457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 74*w**2\/5 - 518*w\/5 + 594\/5.\nAnswer: -2*(w - 1)*(w + 11)*(w + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946793.8ml to litres.\nAnswer: 946.7938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*w + 7 - 39, -4*w = -5*s + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30373138 to five decimal places.\nAnswer: -0.30373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178556 is divided by 464?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 24*t**2 + 57*t + 38. What is w(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/19 - 42*t\/19 + 260\/19 = 0. What is t?\nAnswer: -26, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 4*f + 6. Let s be (-25)\/4 + 4\/16. Let m = 12 - 31. Let j be m\/3 - 2\/s. What is b(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x + 180. Let y be l(-44). Suppose -4*q = 3*f - 11, 0 = y*f + 2*q + 3*q - 15. Solve f*j = 3*t + 11, -j + 2*t + 5 = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w - 2. Let f(q) = 2*q**2 - 2 - 11*q + 91 - 94. What is -6*f(o) + 13*v(o)?\nAnswer: o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323669304 by -3816.\nAnswer: -84819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 5.1 (b) 0.4 (c) 1.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 667 + -638. Calculate the remainder when 81 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-4)\/2 + 0). Let q be 1\/(-1 + 0\/2). Let u be 0 + 0*(2 + q). Put -3, u, h in descending order.\nAnswer: h, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7163 + -351304422.1\nAnswer: -351297259.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 31 = -2*c, 5*c - 4*c = -5*x + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 0.42 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1189510111284 - 0.02.\nAnswer: 1189510111283.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 258*x + 4 = -254*x, 0 = -5*h + 4*x - 49 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, i: 2, c: 2, z: 1}. What is prob of picking 2 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 19. Let h = -4729\/30 + 804\/5. Which is bigger: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9192 = -8*s + 6008. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500 a factor of 1426438706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*y**3 + 3)*(-441 - 1448 - 1301)*(-y - 5 + 4 + 3) in the form i*y**4 + q*y**2 + s*y**3 + z + u*y and give s.\nAnswer: -12760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60893*l**3 - 121794*l**3 + 60898*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62*1 + 2 + 8\/(-2) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = -3*c - 751. Let r = c - -655. Let b be (-4)\/28 - r\/(-14). Solve b - 5 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(187)*1 - ((1*sqrt(187) - sqrt(187) - sqrt(187))*2 + sqrt(187))))\/(-4*(sqrt(1100) - (-5*sqrt(1100)*2 - sqrt(1100))))*-1.\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*z = 8, 3*l + 0*l = 3*z - 12. Suppose 3*g + g + 8 = 0. Put 4, g, -7, l in decreasing order.\nAnswer: 4, l, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1\/30*f**3 + 1\/300*f**5 + 0*f + 0 + 0*f**4 - 3*f**2. Suppose q(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 41*w + 1255. Let o be z(-30). Solve -4*h + 5*n = o - 11, 12 = 2*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*15)\/(-3 + (-510)\/(-160)). Let o = 88 + t. Solve -k - o = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21465, 21466, 21467?\n\"Answer: q + 21464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 147*y + 3 + 16*y**2 + 2*y**3 + 149*y + y**3 to x + b*y**2 + j*y + z*y**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 82. Let l = q - -67. Suppose l = -2*k - 10 + 154. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 28*k**2 + 26*k - 7. Let a be q(-27). Let j be (315\/a)\/3 - 3\/12. Solve j*p = 12 - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*l**2 - 221*l**2 + 659*l**2 - 222*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.309 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p**5 + p + p + 0*p - 4*p wrt p.\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2214912 and -5.\nAnswer: -11074560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.041 - -0.05444. Round s to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927 = 10*x - 3033. Let j = x - -161. Suppose -3*y + o + 0*o = -j, -y - o = -191. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -156, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*c - 23 = 0, -2*n + c - 2*c + 11 = 0. Suppose 46 - 60 = -7*l. Let d(z) = -z**l - 3*z + n*z**2 - 5*z**3 + 4*z**3 + 1. Determine d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2589015943 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*g - 11807, 2*g + 18*c = 13*c + 4755. What is the lowest common multiple of g and 3245?\nAnswer: 25960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -11541, -0.38, 3?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(504\/(-60)) + 4\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.354 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 5*g + 2. Let y be r(-3). Suppose 6*c - 3*t - y = 2*c, 2*t + 4 = 3*c. Solve -2*q = c*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (476\/6)\/(8\/51). Let q = -499 + x. Calculate the common denominator of -9\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d - 0. Let y = d + 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*v + 126*v - 1 + 1 + 3*v**2.\nAnswer: 3*v**2 + 256*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3244, 3730, 4216, 4702?\nAnswer: 5188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 + 145. Which is the closest to -0.1? (a) p (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhshhthhhtu. What is prob of sequence ush?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.26115 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -62*p**3 - 4*p**2 - 4*p - 6. Let f be -4 + 3\/9*3. Let i be d(f). Suppose -i = -10*l - 414. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*a = 5800009, a - 3468169 = z - 568172. What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29600 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 22*n - 20*n. Suppose -9 = -2*p - f, 2*f + 2*f - n = 2*p. What is the least common multiple of 33 and (4 + -5)*15*(-2)\/p?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*1*1)\/(92\/(-270388)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 131 = -2*x, -82 = -3*w + 5*x - 22. Suppose 0*q - w = 5*q. Is (5\/q)\/(2\/(-108)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = g + 5*x, 0*g = g - x - 5. What is the remainder when 18 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007964 to five decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*s**3*z**3 - 2*c*z**2 - 1739*c - s**3*z**3 + 2*s**3*z - 7*s - z**3 with respect to c.\nAnswer: 2*s**3*z**3 - 2*z**2 - 1739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-392)*-3*20\/225*-3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3326334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 4*x + 5*x)*(2*x - x**2 - 2*x) + 0*x**3 - 3*x**3 + 5*x**3 - 2*x**3 + 6*x - 6*x + (2 - 7 + 3)*(-4*x + 4*x - x**3).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 20 = 2*b - 17, -4*x + 13*b + 140 = 49*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 8*m**2 + 0*m**2 + (1 - 1 - 2*m)*(1 - 1 - m))*(5 - 2 - 2).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**5\/60 - k**4\/4 + k**3\/2 + k**2\/2 + 1. Let j(v) be the second derivative of o(v). Let a = -1933 + 1938. Calculate j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*j - 24*j. Solve -24*q**2 + 400 - j*q**3 - 581*q + 350*q + 291*q = 0 for q.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 - (31 + 16) - (5 + -14 - 1)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 9, d: 1, c: 4}. What is prob of picking 1 d, 1 p, and 2 k?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72 + 0 + -4 + 1. Let g(a) = -2*a**3 + a**2 + 14*a - 7. Let d be g(-3). Let n = y - d. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - 13\/(-2). Let z be 0*2\/b*1. Suppose -4*c + 5*o = -53, -2*c = -z*o - 4*o - 28. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -4.29?\nAnswer: 31.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 1208*i - 254608. Determine m(272).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1565, 4\/5, 0.1, 3, -1 in descending order.\nAnswer: 3, 4\/5, 0.1, -1, -1565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 2*h - h + (-1 + 2 + 1)*(-2*h + 3*h - 2*h) - 2 + 2 - 3*h + (h + 2*h - 4*h)*(1 + 1 - 1) - 2*h + 5*h - h to the form g*h + u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 79?\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 72b0 (base 16) to base 15\nAnswer: 8a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 1?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1045 (base 6) to base 15.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3416 and 662?\nAnswer: -2261392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - -2.0826.\nAnswer: 2.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/217)\/((-3)\/((-12)\/4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56369729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 10*y**3 - 5*y**3 - 22*y + 2*y**2 - 4*y**3 as n*y**2 + q + f*y + h*y**3 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 192055*n + 576217. Calculate r(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*s - 118 - 6, 0 = 2*s - 4*m - 128. Calculate the highest common factor of s and 2072.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**3\/2 - 5*c. Let v be ((-4)\/(-4))\/(0 + -1). Does 5 divide q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 535\/15 - 1\/(-3). Let v be ((-81)\/b)\/(6\/(-16)). Find the third derivative of -6*n**6 + 5*n**2 + 3*n**v + n**6 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11338 - -11341. Solve 0 = s*r - f + 1, -9 = r - 0*r + 4*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 990 = 3*o, -5*o + 4*o + 330 = 5*u. Let q = 709 - o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from {m: 8, x: 4, h: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 + -104. Calculate the remainder when 58 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36401778 and 567?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98053895.95711227 + -98053897. Let o = l + 91.04283873. Let v = -90 + o. What is v rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982895 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 56 = -4*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 17*v**4 + 7 - 5*v + 0*v**3 + 13*v**3 - 38*v**4 + 22*v**4 to g + i*v**2 + d*v**3 + c*v**4 + u*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011542317 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4))**2*-3 - (sqrt(48) - ((sqrt(48) + -1)**2 + 0))) + -5 + (sqrt(3)*-3 + 3 + sqrt(3) + sqrt(75)*-5)**2 + -2.\nAnswer: -174*sqrt(3) + 2094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 311 and 5287?\nAnswer: 5287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (1 + 1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 3*t - 5. Let b be n(2). Let m be (-305)\/b + -1 + (-3)\/(-9). Suppose -4*f + m = w, -5*f = -4*w + 9*w - 460. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n + 14. Let b be f(6). What is the second derivative of -3*u - b*u**2 - 6 + 6 - 12*u wrt u?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -4665.\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259920285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/12 - 2*q**3\/3 + 3*q**2\/2 - 2*q. Let z be (2\/(-2))\/((-1)\/(-2)). Let k = z + 4. What is d(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - z**2 + z - 1. What is the remainder when w(2) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/90*-5*5\/9*3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-4\/21))\/w)**(-4\/15))**(-1\/6) assuming w is positive.\nAnswer: w**(-8\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129623516 a multiple of 3916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12189, 24398, 36607?\n\"Answer: 12209*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 31*w = 29*w - 14, 25 = -5*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1. Suppose 2*m = -0 + 2. Let b(v) be the second derivative of -v**3\/3 + 3*v**2\/2 + 2729*v. What is m*b(o) + 3*z(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71, -78, -91, -110?\n\"Answer: -3*g**2 + 2*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let g(c) = 6*c**2 + 8*c. Give g(w(a)).\nAnswer: 54*a**2 + 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12957)\/(-4936)*120\/9.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -10.8. Let g = k + -0.3. Let d = 30 + -30. Sort d, -5, g in increasing order.\nAnswer: -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 4*v + 1. Let j = 5 + -2. Calculate the least common multiple of x(j) and (((2 - 1) + -15)*-2)\/2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 6*h + 3. Let d = 20 - 15. Let w be m(d). Let c(o) = o**3 + 2*o**2 - 2*o - 2. What is c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 76*h**3 + 26*h**2 + 8*h + 3592. Let x(n) = 77*n**3 + 30*n**2 + 9*n + 3592. Let b(c) = -7*o(c) + 6*x(c). What is the first derivative of b(j) wrt j?\nAnswer: -210*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 90*h + 34*h + 1)*(-4 - 1 + 6) as c*h + y and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 7*s**5\/5 - 95*s**4\/4 - 37*s**3 + 637. What is the third derivative of q(w) wrt w?\nAnswer: 168*w - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*y**2 + 3 - 1 + 2 + 7*y**2 wrt y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(sqrt(192)*-1)**2 + 0.\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9357, 9225, 9003, 8691?\nAnswer: 8289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (183 + -3)\/(2\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7618.6 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*q + 0*q - 12 = -6*i, 33*q - 669 = 3*i - 190*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z**4 + 0*z**3 + 42 + 71\/60*z**5 - 11\/12*z**6 + 0*z - 2*z**2. Find the third derivative of m(o) wrt o.\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313233233 (base 4) to base 13.\nAnswer: 7cc13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 21 = z - 58, 0 = -3*z - 3*b + 93. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 473 - 473 + 10*s**3 - 28*s**2 wrt s.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (-20 - -87) - (36 - (0 - 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -0.4, -23 in increasing order.\nAnswer: -55, -23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2644499 * 7.01.\nAnswer: 18537937.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.1, -1\/5, 60.6, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2825075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3662 in 9, -2, 2\/3, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5216 + -4908. Calculate the greatest common divisor of 252 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(40) - sqrt(160)))\/(-4*sqrt(288)) - ((0 + (0 + sqrt(1620) - sqrt(1620)))*-4)**2.\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**3 - 9*g**4 + 3*g**3 + 18*g**2 - g**2 wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4268*t**2 - 2*t. Let s(a) = -3937*a**2. Calculate q(s(f)).\nAnswer: -66153867692*f**4 + 7874*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 0*h**2 + 12*h**2 to p*h**2 + r*h + g and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.279 in -2\/9, -3, -1, 0.0479?\nAnswer: 0.0479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*v + 1184*v - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, -97 in descending order.\nAnswer: 0, -2, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-10) - 13\/130. Suppose 2*g - 3 - 15 = n. Let u = 13 - g. Solve -u*r + 2*r - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/30 and 53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/5*q**3 + 27\/5*q**4 - 6\/5*q**2 + 0 + 0*q.\nAnswer: 3*q**2*(q - 1)*(9*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1067961854, -1067961853, -1067961852, -1067961851, -1067961850?\nAnswer: -1067961849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -341, 4, -0.18, -0.4, -212?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = -40 + 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/12 - p**3\/6 - 8*p**2. Suppose -4*w + 3*w + 7 = 0. Calculate the remainder when y(w) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 336*g**3 + 41*g**2 + 27*g + 1. Let o(w) = 84*w**3 + 10*w**2 + 6*w. What is -9*o(t) + 2*u(t)?\nAnswer: -84*t**3 - 8*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i. Let b be k(-1). Suppose 0 = -b*m + a - 25, -6 - 23 = 4*m - 5*a. What is the least common multiple of 2\/m - (-93)\/9 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 56, 107, 180, 275, 392, 531?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8 and ((-12)\/(-16))\/(((-55)\/6)\/(-11)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -580023440 divided by -20?\nAnswer: 29001172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 10*s**2 + 11*s - 1. Let j be u(-11). Let d = j + 5. Suppose 83 = 5*c + 4*f, d*c + 4*f = 3*f + 62. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*u = 331*u. Let k(d) be the second derivative of 0*d**2 + 0*d**3 - 1\/3*d**4 - 6*d + u. Let f(o) = 3*o**2. Give k(f(x)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i + 0 + 0*i**3 - i**2 + 1\/140*i**6 + 2\/735*i**7 + 0*i**5 - 1\/84*i**4. Determine z so that g(z) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 1, b: 1, a: 5, d: 1, g: 3}. Give prob of picking 1 g, 1 d, and 1 a.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*v - 12, 32*v - f + 14 = 28*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2298067 * 0.5.\nAnswer: 1149033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**8\/504 - h**6\/60 - h**5\/45 + 8*h**2. Factor t(s).\nAnswer: 2*s**2*(s - 2)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15*r + 203. Let y be v(25). Let p = 342 + y. What is the highest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -1485, -5480, -13295, -26202, -45473, -72380?\nAnswer: -108195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgrqdggkgdx. Give prob of sequence gdrq.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 1 (c) -0.07 (d) -12\/265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*n + 57*n = 48*n - 3660. Calculate the least common multiple of n and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4856.325km to nanometers.\nAnswer: 4856325000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (-32 - (17 + -29 + 0))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsqssss. What is prob of picking 1 q and 1 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182996, 182538, 182080, 181622?\nAnswer: 181164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 49 = -147. Suppose i + 5 = -k, -i + 4*k + n = k. What is the second smallest value in i, -5, -0.4, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37901 is divided by 9450?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/15609 or 0?\nAnswer: 31\/15609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 21916, 1, 3, -1, -0.2 in decreasing order.\nAnswer: 21916, 5, 3, 1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2835 * -0.3\nAnswer: -850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 36*c + 8. Let j be y(1). Suppose 0*l = -l + j. What is the greatest common factor of l and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415100 and 875?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 795430*l**2. Let f(n) = 6*n. What is f(d(w))?\nAnswer: 4772580*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -8*x + 87. Let j(w) = 122 - 258 + 136 + 6*w - x*w. Let t(c) = 15*c**2 + 85. Let a(y) = y**2 + 6. Let i(q) = -85*a(q) + 6*t(q). What is i(j(h))?\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*f**5 + 5359236*f**4 + 71936*f**3 = 0. Calculate f.\nAnswer: -17984, -2\/149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9260845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 30 = -5*h, 5*h = 4*h - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -46. What is the least common multiple of b and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4653, 4740, 4827?\n\"Answer: 87*h + 4566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*i - 13, -z + 5*i - 12 - 2 = 0. Let h = -0.1 - -0.1. Which is the closest to z? (a) 3\/4 (b) -2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 185. Let s = 0.2566 - -0.0434. Is s >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -2*a + 70. Suppose -a*u = -10*u - 18. Let m(g) = -3*g - 7. Let z(v) = 2*v + 6. Let t(w) = u*m(w) - 7*z(w). Let p(h) = -16*h**2. Calculate p(t(k)).\nAnswer: -256*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + -3.4. What is the biggest value in q, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(7))*-3 - sqrt(7)) + -3)**2 + -4 + -2.\nAnswer: 24*sqrt(7) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 26645*c**2 - 11*c - 83936*c**2.\nAnswer: -57291*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108970879 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 7*j**4 + 17*j + 9*j + 4*j - 32*j + j**2 to u*j**2 + b*j**4 + o*j + n + r*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 1 + 32)*(2*z**2 + 2*z**2 - 2*z**2).\nAnswer: 166*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4828 (base 12) to base 10.\nAnswer: -8096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-1395))\/((-1)\/(-3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28128, -5, -24 in increasing order.\nAnswer: -24, -5, 28128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680157 and 1053405.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/8 + 657\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2538676*r - 1785985?\nAnswer: 2538676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 + 0?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88863.25 years to decades.\nAnswer: 8886.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -31 - -13) + -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012210908 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0562359293 to six dps.\nAnswer: 0.056236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -4, 30 in increasing order.\nAnswer: -55, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-3))\/((-1)\/11 + -26*(-15)\/51480)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1304 - -5123\/4. Calculate the common denominator of (1 + 1)\/((-24)\/159) and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112020 + -100022?\nAnswer: -10212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, c: 1, q: 1, l: 5}. Give prob of picking 2 l.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35*0.34\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -69*0.084\nAnswer: -5.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5663957659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -563826*i**2 + 89*i + 5911 wrt i.\nAnswer: -1127652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/8 - 3*q**2 + 9*q\/2 + 54.\nAnswer: -3*(q - 4)*(q + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - g - 4*g)*(-1 + 5 - 1) - 3*g + 1 + 2 + g + (3 - 2 + 1)*(2*g - g - 2*g) + 2*g - g + 0*g.\nAnswer: 9*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**3 + 18*u**3 + 44*u**3 + 19*u**3 - u**3 + 3*u**3 + 0*u**3 - 3*u**3 + 2*u**3 + 2*u**3 + (0*u - 2*u**2 + 0*u)*(2*u - 5*u + u).\nAnswer: 74*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -266\/3. Let z(t) = -t**2 - 20*t - 38. Let k be z(-18). Which is the nearest to -2\/5? (a) 3 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tretzz. Give prob of picking 1 e and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 62, 161, 300, 479?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 <= -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4862 - -5143. What are the prime factors of l?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(24)*-1 + sqrt(600)*-2)\/(-1*sqrt(1152) + 3*(2*sqrt(8) + sqrt(8))))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*g + 120, 37 = x + 2*g + 13. Suppose -24*t + 312 = -0*t. What is the remainder when x is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -11*b + 24. Suppose 20 = -b*s, 7*s - 3*s - 1515 = -5*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d**2 + 57*d + 27. Give f(8).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-305)\/5)\/(3\/(2 + 1)). Let p = l + 52. Which is the closest to 0? (a) -4\/3 (b) 1\/10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 126c9 - -9?\nAnswer: 12705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n**2 + 13*n + 31. Let c(f) = 7*f**2 - 7*f - 17. Give -11*c(q) - 6*l(q).\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 365380.9mm in centimeters?\nAnswer: 36538.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -50. Let n = g + 20. Let p(u) = 3*u - 3. Let k(j) = 2*j - 2. What is n*k(m) - 3*p(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ea + 5c?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, a: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28955 divided by 5791?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -8. Suppose -3*h + 4 = h. Calculate the greatest common factor of h and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 4*w - 4. Let h be p(6). Suppose 5*j + 7 = -h. Put 5, j, -1 in decreasing order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119584008 and 279029352?\nAnswer: 837088056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 108e (base 16) to base 2\nAnswer: 1000010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from {e: 5, t: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 55 = 3*w, -w + 2*w = 3*j + 5. Let c be 615\/27 + w\/(-45). Suppose 0 = 18*r - c*r + 55. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1577.43 centimeters to millimeters.\nAnswer: 15774.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 - 12 = 0. What is the common denominator of (-52)\/(-8) + (-4)\/(-10) and 303\/18 - (-1)\/s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + t = -18, 0 = 2*b - 2*t + 514 - 520. Solve -4*v - 10 = -v - 2*a, b*v + 8 = -a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(363) + sqrt(363) + (-2*sqrt(363) - sqrt(363))) + 0.\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.19 + 1.035. Let b = i + 0.075. Round b to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b + 3. Let q(z) = 16*z + 2. Let f(g) = 4*q(g) - 3*t(g). What is the tens digit of f(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200059, -400106, -600153, -800200, -1000247, -1200294?\nAnswer: -1400341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162756 and 922284?\nAnswer: 2766852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from {o: 6, y: 1, q: 3, m: 3, r: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*u = 235*u + 76. Let r(c) = -3*c**2 - 3 - c**2 + c**2. Let g(q) = 3*q**2 + 2. Let n be -1 - (-4 - (-2 - -2)). Calculate n*g(a) + u*r(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1000656 divided by 8\nAnswer: 125082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525899900 a multiple of 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-216))\/((-10)\/16*1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-18) - 254\/(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1079*p**2 - 1079*p**2 - 6*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48560 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 minus 0.034?\nAnswer: -358.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 36, 53, 70, 87, 104?\n\"Answer: 17*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*m - 96*m + 4*h - 227204, 0 = -3*h - 12. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1.1, 2\/13, 3, -1.29?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/5)\/i)\/(i**(2\/5)\/i*i))**42 assuming i is positive.\nAnswer: i**(-336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2082*u - 59715 = 42303 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-6 - (-7 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 7:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 66 + 14. Suppose -33 = -11*v + 11. What is the remainder when g is divided by -7*(v\/2)\/((-26)\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-793 - 853 - 234 - 917 + 621)*(3*z**2 - 5*z**2 + 0*z**2) to the form k*z + i*z**2 + q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.962 times 5?\nAnswer: -24.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/126 - (-18)\/81. Let p be (70\/(-50))\/7 + (-2)\/40. What is the closest to 1 in m, p, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78115 - 547817\/7. Let c = -8579\/56 - v. Calculate the common denominator of 90\/27*(-14)\/(-12) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y - 3*y)*(-11191 - 14873 + 1105 - 3061 + 2694) to the form u*y + c and give u.\nAnswer: 50652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**26)**(14\/3)\/((y\/y**(-2\/13))\/(y**(-2)*y))**(-46) assuming y is positive.\nAnswer: y**(2512\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + 7\/(-140)*-76?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 3*i**2 + 0*i**2 - 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(4\/3)*n*n*n\/n**(-10))**(-7) assuming n is positive.\nAnswer: n**(-287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1334\/464*24\/92)\/(2 + (-532)\/272).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204739 is divided by 626?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 665, 652, 643, 644, 661, 700, 767?\n\"Answer: m**3 - 4*m**2 - 8*m + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -42 and -290\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + t + 5683 = -543, 5*r - 6224 = -t. Calculate the highest common factor of 83 and r.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j + 4. Suppose -41*r + 44 = -45*r. Let o(l) = 11 + l**2 - 8*l - l**2 - 3*l**2. Calculate r*u(t) + 4*o(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1491\/781*(-44)\/3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 * -0.1\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -71, 5, 3 in increasing order.\nAnswer: -71, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1724, -4\/7, -53, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 219*g**2 - 9*g - 23. Let y(l) = -107*l**2 + 4*l + 10. Give -4*u(a) - 9*y(a).\nAnswer: 87*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -34*g - 6. Let w be p(6). Suppose 1055 = -19*j - 12*j + 26*j. Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -14 + 14. Let d be a + (-2 - -3)\/1. Solve -6*y - d = -25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -5683043?\nAnswer: -5683043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 37*o + 13. Let p be b(18). What is the second smallest value in p, -128, 4, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3088\/229 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4188.1328 and -22596.2.\nAnswer: -18408.0672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.15, -19, 0, -5, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3) + 84\/1. Suppose 141 = 4*z - r. Suppose -2*x - z = -6*x. Calculate the least common multiple of 4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1904.1 to the nearest 10.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = -77*l + 84*l. What is the remainder when l is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478797 divided by -1.\nAnswer: 478797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -42 - 44 - 6*i + 86. Let t(m) = 3*m - m - 4*m. Give t(k(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 7*o + 8. Let k be x(7). Suppose -k*m = -11*m. Suppose m*s + 3*s = -2*a - 3, a = -4*s + 1. Let f(w) = 2*w**2 + w. What is f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 84*g - 860 = -9*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 73?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.0894721.\nAnswer: -4.0894721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -48. Let s(c) = -3*c + 1. Let t be s(6). Let k = t - a. What is the nearest to 2 in k, -0.2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133671543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let f(s) = -2*s**2 - 11*s + 11. Let g(z) = -z**2 - 6*z + 6. Let t(o) = -6*f(o) + 11*g(o). What is -5*t(x) - y(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/9, -4, 0.01, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b + 2*b)*(-b - 2*b - b + (-6 + 8 + 5)*(-3*b + 6 - 6)).\nAnswer: -175*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 16*j - 28. Calculate f(-23).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 1 q when three letters picked without replacement from {h: 3, k: 10, q: 2, m: 2, b: 2, n: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-51)\/85*(3700\/(-13290) - 0). Is 0 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.052 + 0.0519934. What is g rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33646618?\nAnswer: 2, 127, 139, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/5)\/k*k)**(-10)*(k**(-2)\/k)**(2\/19) assuming k is positive.\nAnswer: k**(-158\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 45*c = -50*c + 34, -196*c + 276 = -58*c for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, -1, -0.06, -0.03, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084320301 to the power of 1\/3, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*t + 2*v, -3*v = 3*t + 2*t - 192. Calculate the highest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 + 0.5. Let g = 9\/4 + -2. Let u(t) = -63*t + 377. Let h be u(6). Which is the third biggest value? (a) h (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (-49)\/(490\/76200000). What is l rounded to the nearest one hundred thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f - 52. Suppose 0 = -5*k - f - 16. Let p(c) = -c + 11. Is 18 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00884 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 3*b + 5*k, -k + 4*k = b - 42. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*l - 12, -165*l - 16 = 3*v - 161*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - a + 4613 = 7*c, -3*c - 3*a = -3453. Let k = c + -250. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -40.\nAnswer: -81\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -2. Let p = 1.1001 + i. Round p to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 728.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 5*m**4\/2 - 17*m - 43. Differentiate c(b) wrt b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.017 - -5.017. Which is the biggest value? (a) -1 (b) -0.04 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182077354 rounded to the nearest ten thousand?\nAnswer: 182080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4239386399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q + 2*t + 1, -4*t + 4 = -2*q. Let w be 3*(q + 1)\/1. Find the second derivative of w*j - j**2 - 2*j + j**2 + 2*j**2 wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2 + 84*i + 882 = 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 - 3231*t + 6450 = 0.\nAnswer: 2, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Suppose 0*j - 48 = -i*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 4. Suppose 6*b - 70 - 236 = 0. Suppose -5*d - 4*q = -b, q + 2 = -q. Suppose 0 = 9*l - d*l. Determine z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*p - 37*p - 61*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 50*i + 72. Let h be j(-50). Which is the fourth smallest value? (a) -4 (b) 2 (c) 0.5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 1. Let r(y) = 5*y - 1. Let i(w) = 5*r(w) + 8*x(w). Let k be i(-3). Solve k = n + n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/2 - m**2. Let i(r) = -2*r + 685. Let s(y) = y - 548. Let k(u) = -4*i(u) - 5*s(u). What is q(k(h))?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109964 - 53218. What are the prime factors of h?\nAnswer: 2, 17, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413 is divided by 107?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95308089?\nAnswer: 3, 1019, 31177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013223 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 2123495\nAnswer: 8493980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1\/5, 4.\nAnswer: -3, 1\/5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from wwwqq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*3 + 0. Let o be (-2)\/(-12) + p\/(-3). Let f be (4\/(-6))\/(7 + 20\/(-3)). What is the second smallest value in -5, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2290 (base 15) in base 3?\nAnswer: -101001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -3*r + 672, 0 = -f + 3. What are the prime factors of r?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.089 times 2923\nAnswer: -260.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/((r**(-4\/3)\/r)\/r) assuming r is positive.\nAnswer: r**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t - t**2 + 20*t - 8*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18 + 3*g + 15 - 14. Let c be m(0). Suppose -t - 2*n - 3*n = -c, 5*t = -4*n + 200. Calculate the highest common divisor of t and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-102) + (-3 - (-1044)\/306))\/(6\/(-4))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 503 = -513. Factor 16\/5 - 12\/5*i**p + 2\/5*i**4 - 2\/5*i**3 + 8\/5*i.\nAnswer: 2*(i - 2)**2*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.01035 kilograms to milligrams.\nAnswer: 62010350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10\/(-36) + 14\/(-63))*-22 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 347436912 - -3?\nAnswer: 347436915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 51*b + 26*b - 3*b + 27*b.\nAnswer: -b + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1505\/39 + 506\/13. What is the nearest to 11 in -4, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371384161.\nAnswer: 3, 87829043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -155.1, 0.4?\nAnswer: -155.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*r + 29 = 0, -2 + 0 = -r. Suppose -45*v + y*v + 300 = 0. What is the smallest common multiple of v and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j = -94*j - 72 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Let t(p) = 11*p - 47. Let a(o) = -5*o + 23. Let f(r) = 13*a(r) + 6*t(r). Let m be f(-13). Solve -x + 15 = x - b*d, x = -m*d - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, -16\/19.\nAnswer: -17, -5, -16\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let y = i - 1. Factor -8*l**3 - 4 + 4*l**3 + y - 10*l**2 - 8*l.\nAnswer: -2*(l + 1)**2*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2078865, 2078870, 2078875, 2078880, 2078885?\n\"Answer: 5*q + 2078860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 2 - 1)*(5 - 5 + 4*f**2) + 2 - 2 - f**2)*(13*f - 14*f - 3 + 2) in the form q + l*f + g*f**2 + c*f**3 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*j + 169 + 58 = 0, -y = 4*j - 39. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2837 + 4127. What is the greatest common factor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - u + 68 + 65, 0 = 3*d - 3*u - 87. Suppose d*c - 16*c - 1320 = 0. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3060205 + 1580551 = 73*k. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401319 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738240 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -67, -61, -53, -43, -31?\n\"Answer: c**2 + c - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w + 17. Let h(u) = 5*u + 6. Let l(c) = c**2 - 64*c - 734. Let g be l(74). Calculate g*y(t) - 17*h(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2073345 and 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -13*b + 19*b. Let u(p) = p**2 + 2*p - 2. Let x be u(-3). Calculate the common denominator of x - (-178)\/b*-2 and 3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 101909610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -997*u - 759. List the prime factors of q(-9).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269169641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 27*x + 4*a - 20 = 0, -x = -4*a + 20. Which is greater: -2\/45 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 33*q**4\/4 - 5*q**2\/2 + 5*q + 200. Let w(m) = 82*m**3 - 12*m + 12. Give -5*w(i) + 12*x(i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let x(a) = -354*a**2 - 15. Let g(s) = 2478*s**2 + 108. Let f(d) = 5*g(d) + 36*x(d). Determine f(p(j)).\nAnswer: -354*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, 6 in descending order.\nAnswer: 6, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 31 = -5*g, 0 = h - g - 8. Let f be 2\/(35\/(4 - h)). What is the nearest to 2 in 2, 4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6096456.\nAnswer: 2, 3, 84673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(152\/950)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5523516.\nAnswer: 2, 3, 71, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783544 is divided by 261048.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-198)\/24)\/11*-7800. Factor -180*t + 5845*t**4 + 100 + 87*t**2 - f*t**4 - 2*t**2.\nAnswer: -5*(t - 2)**2*(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/275*5*(-435)\/(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29690483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*w - 8, 2*g - w - 2*w + 12 = 0. Suppose 0 = -t - g - 7. Let z = t + 11. Solve -z*d - 9 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 93 + 1187*c - 30 - 29.\nAnswer: 1187*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/1 - 22\/3. Let w be m - -6 - (-2 - -5). Let j(r) = -9*r**3 - 2*r + 3. Is j(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5771250 divided by 192375?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*y + 1794 - 417, -y + 475 = -4*g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.2 (c) 4\/5 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2814082 nanoseconds in hours?\nAnswer: 0.0000000000006337245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37807*h**3*p + 7482*h**3 + 3 wrt p?\nAnswer: 37807*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 790812*y**2 - 842393?\nAnswer: 1581624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 45. Put 4, k, -1 in decreasing order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v + 55*v + 50 + 33*v + 35. Let k(y) = 5*y + 6. Calculate 85*k(x) - 6*p(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d + 1. Let s be v(-2). Suppose p = o, s*p + 0*p = -o + 16. Let u be (-12)\/(-48) + (-14)\/(-8). Solve -4 - 10 = -o*b + u*g, b = g + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.02274 + -89.00314. Let y = -1.43 + -82.57. Let a = y - s. Round a to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/609 and 46\/45327?\nAnswer: 317289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.03 and 3.\nAnswer: -33.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -92*k - 408. Let w be v(-5). Calculate the greatest common divisor of 10 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -4, -1\/13, 3, -16 in descending order.\nAnswer: 5, 3, -1\/13, -4, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -w + 6*w. Let v = 199 + -196. Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7476965, -14953935, -22430905?\nAnswer: -29907875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 240 = -b, 0 = -5*b - 3*m + 1168. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b52 (base 14) in base 7?\nAnswer: -64332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 610*n + 331. Let b be k(12). What is the highest common factor of b and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 5*i - 2. Let m = -13 + 16. Suppose 4*a + 3*f - 20 = 0, 0 = -a - 4*f + 2 + m. Let k(l) = -l**2 + 3*l + 1. What is a*k(h) + 3*r(h)?\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + -1 - (3 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 1*sqrt(405) + 5 - sqrt(405).\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115412941.\nAnswer: 1115412941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4684166?\nAnswer: 2, 109, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g**5)\/(g*g**0*g)**(2\/39)*((g**1*g)**(15\/11))**(4\/7) assuming g is positive.\nAnswer: g**(93932\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 188*a**2 - 347*a - 17143. Calculate b(-95).\nAnswer: -2228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114602?\nAnswer: 2, 57301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-14))\/((-356)\/(-1246))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/225*-5*(-1)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15162 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-32)*6\/(-1))\/((-26)\/(10400\/(-175))).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -618, 31, 3, 0.24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/25 (b) 0 (c) 5\/44 (d) -1\/4 (e) 8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 90385 = -162200. Is q a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -11293 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/2 + 99*t**4\/2 + 1127*t**3 + 5964*t**2 - 27520*t - 70656 = 0. What is t?\nAnswer: -69, -16, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -813 or -878?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5301*n - 196191. Calculate w(37).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -4, -7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-36) - (-25)\/6. Suppose -g = -t*y + g - 52, y + 27 = 4*g. Are y and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*b + 128*b + 15*b**4 + 2*b**4 - b**4 - 2*b**4 + (-b + 4 - 4)*(0*b**2 + 2*b**3 + 0*b**2) - 40*b - 6*b**2 + 20*b - b**4 + 21*b.\nAnswer: 11*b**4 - 6*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:26 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 10*l + 19*l - 10*l + 2*l**3 + 7*l**2 + 28*l**2 - l**4 to g*l**2 + k + s*l + a*l**4 + c*l**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-0.18521.\nAnswer: -1.66689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 59819656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + 19*u + 35. Let c be g(5). Solve c = -9*b - 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229848 divided by 314.\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52155, -104356, -156557, -208758, -260959?\nAnswer: -313160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12628 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-72038.\nAnswer: -36019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1159 + 884664.\nAnswer: 883505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3043608 is divided by 276690.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1809 is divided by 259.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3091622330 to the power of 1\/2, to the nearest integer?\nAnswer: 55602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Suppose 2*c + i - 112 = 4*i, 5*c - 294 = j*i. Suppose 2*l + 0*o - 12 = 2*o, -3*o = 5*l - c. What is the least common multiple of l and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*w - 2*w**2 + 51*w - 7)*(2 + 105*w - 12*w**2 - 105*w).\nAnswer: 24*w**4 + 80*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27\/2887 or -1?\nAnswer: 27\/2887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1254.63 + -1260. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*r + 25*r - 58 + 19*r + r**3 + 20*r - 352 as j*r**2 + u + l*r**3 + w*r and give u.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86\/7 - 12. Let y = 486.8 - 487. What is the nearest to h in y, -3\/4, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 806\/5*q + 807\/5 - 1\/5*q**2.\nAnswer: -(q - 807)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164259, -163530, -162801, -162072?\nAnswer: -161343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*q - 2*n, 3*q - 22 = 3*n - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 432 = 12*n. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10\/(h\/(h\/(h\/(h**12\/h))))*(h*h**(-1\/5))**22 assuming h is positive.\nAnswer: h**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 34632*y**3 - 138464*y**2 = 0. Calculate y.\nAnswer: -8654, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2930 + -2930.14. What is the third biggest value in y, 4\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25649 or 25646?\nAnswer: 25646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**5 + u**4 - u. Let t(p) = 14*p**5 + 12*p**4 - 2*p**3 - 7*p. Let m(s) = 2*t(s) - 14*v(s). What is r in m(r) = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*h + 19 = 301*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*93398\/41205?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (10 + -17 - (-1 + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6381 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 277 times 0.07\nAnswer: 19.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 10. Let l = 25 + n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -220*z**2 + 13*z + 39. Let i(k) = -110*k**2 + 6*k + 16. Give 5*i(o) - 2*y(o).\nAnswer: -110*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2019, -8000, -17961, -31896, -49799, -71664, -97485, -127256?\nAnswer: -160971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-9 - 10) - (-4 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 141*h - 8. Let x(a) = -148*a + 9. Determine -3*l(n) - 4*x(n).\nAnswer: 169*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*y - 4*y - y)*(-y - 589 + 3*y + 632) in the form p*y + b*y**2 + n and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) - (-162)\/24. Suppose 2*z = -5*m + 282, 3*m - 2*z - 38 = 128. What is the greatest common divisor of x and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:49 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z + 988 = 135*z - 140*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29607 and 6603?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000205728383 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c7c (base 15) in base 6?\nAnswer: 135530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(30) - (sqrt(30) + (sqrt(30) - (sqrt(30) + sqrt(240)\/sqrt(648) + sqrt(30)))))\/(sqrt(490)*-1))*4.\nAnswer: -40*sqrt(3)\/63 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*-1*(-1 - -2) - 94. Let v = -38 - u. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - (513\/(-258) + 2)*-47\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Suppose y*u = 4*r - 1399975, 2*r - 976487 = -4*u - 276467. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159580 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 2}. What is prob of picking 1 u and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*1 - 0 - 0\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30661 take away -492672415?\nAnswer: 492641754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1746*r**4 - 14*r**3 + 730*r + 16*r**3 - 1747*r**4 as t*r**2 + y*r + d*r**4 + q*r**3 + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 - 1. Suppose -17*j = -11 + 164. Let i(m) = 5*m**3 + 5*m**2 - 3. What is j*l(b) + 2*i(b)?\nAnswer: b**3 + b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*20\/(-90) - (0 + 236). Let i be 5 - 6 - y - 3. What is i rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -249, -250, -251, -252, -253?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 20, -5*b - n + 5 = 6. Let t(v) be the second derivative of v**3\/6 + v**2\/2 - 58*v. Let k(i) = 3 - 4 - i + 2 + i**2. Give b*k(o) + t(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 28 + 22 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2. Let v(h) = -41*h - 61. Let f(n) = -5*b(n) + v(n). Does 9 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435231 (base 6) in base 7?\nAnswer: 210301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-46)\/v)\/v*v)\/(v*v**(-17\/3))*(v*v\/v**23)\/v**33)**(-33) assuming v is positive.\nAnswer: v**3179","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14989198?\nAnswer: 2, 7, 43, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9 + 0*z + 8*z + 5*z - 8. Is 34 a factor of w(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2390 and 510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Suppose -l*d = -d - 16. Suppose d = 2*b - t - 20, 4*t = 5*b - 87. Calculate the greatest common divisor of 133 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280 is divided by 426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147569*c + 14285*c + 575965*c + 3.\nAnswer: 737819*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 10*v**2 + 10*v - 7. Let f be d(-11). Suppose 20*m - 24*m + f = 0. Find the common denominator of -2*(-9)\/(-4) - m and -20\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12)\/sqrt(2)))\/(2*sqrt(49)\/sqrt(7)) - (((-2*(-1 + sqrt(512)))**2 - sqrt(512) - sqrt(512)) + 5).\nAnswer: -2057 + 321*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 61. Let u = c + -37. Calculate the highest common factor of u and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 5 = 4*n. Suppose -3*g = -n*g + 28. Solve -2*a = 2*l - 8, -3*l + 2*a - g*a = -18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*q**3\/9 - 8*q**2\/3 = 0. What is q?\nAnswer: -12\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aed1d + 3?\nAnswer: -aed1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 712278830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 280 = 3*n. Calculate the smallest common multiple of 56 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*a**2*g - 858*a**2 - 2*a*g wrt g?\nAnswer: 96*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4809 and 82440?\nAnswer: 577080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**3\/3 + 396. Let w(t) be the first derivative of -t**4\/2 + t - 1. Let d(o) be the first derivative of w(o). Give d(c(z)).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67.60122 + 3749965.60122. Let b = t + -3749896.399993. Let q = -1.6 + b. What is q rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + 9 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 20. Suppose 9*c - s*c - 45 = 0. Suppose 3*a = -0 + c. Calculate the remainder when 7 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 1. Let a(m) = 1 + 3 - 4*m**2 + 0*m**2 + 4*m + 0*m. Give a(s) + 3*j(s).\nAnswer: -s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 51*b - 55 = 0. Let q be -2*1\/11 - (-2)\/b. Suppose 3*l - 142 = 5*h - 1161, -4*l + 8 = q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - (-4 + 2 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, 42, 50?\n\"Answer: 8*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 + 4 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-27) + (-2)\/(-9). Is f\/(-18) - 249\/(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*b**5 + 40632*b**3 + 13682*b**2 + 3*b - 11 wrt b?\nAnswer: 3120*b**2 + 243792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1096, 1073, 1050, 1027?\n\"Answer: -23*w + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10 = -3*q - 6*m + 17, -3*m = 15*q - 7*m - 83 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + -14 + 10 + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432 divided by -64?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49115072.35 plus -0.12?\nAnswer: 49115072.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 8. Let w(u) = 14*u + 4. Let f(t) = -48*t - 15. Let i(q) = 5*f(q) + 18*w(q). Does 10 divide i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h. Let x = -11341.5161 + 11341. Let g = -0.0161 - x. What is the closest to 4 in h, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134310544 rounded to 4 dps?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3952721?\nAnswer: -7\/3952721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7747.87l?\nAnswer: 7747870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/8 + 135*s**2\/8 + 825*s\/4 = 0.\nAnswer: -10, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-117)\/(-1755))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = b, 4*v + 3*b + 6 - 70 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94dd + -2?\nAnswer: 94db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 7*t - 121 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -905, 5, 15, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 13*m**2 - 25*m + 54. Let v be w(11). Solve 3*q = -4*q - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11931 divided by -3\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**6\/40 - b**5\/15 - b**4\/12 + b**3\/6 + 85*b**2\/2 + 39. Let z(x) be the second derivative of d(x). Determine z(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + 2*o**4 - 4*o**2 + (24 - 24 - 4*o**3)*(3*o + 0*o - o).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 13 + 8 - 10*h**2.\nAnswer: -10*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.74 - -0.26. Let l = y - 37.00432. Round l to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 197174139 and 21?\nAnswer: 197174118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/3)*f*f\/(f\/(f*f**(-10)))*f*(f*f**(-1\/4))**(-1\/15))**(-6) assuming f is positive.\nAnswer: f**(323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-30))\/(-4) + (-19)\/(-45). Which is the third biggest value? (a) -5 (b) o (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 901.93 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.79020244 + 1.79. Round h to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 174*d**2 - 3*d - 174.\nAnswer: 3*(d - 1)*(d + 1)*(d + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11152440 is divided by 239?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -20*q + 706. Let f be 149*3\/q - 2\/(-20). What is the greatest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 8, 28, 64, 122, 208?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + (6 - 80\/12). Suppose 28*z - 377 - 435 = f. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**6\/150 + z**5\/20 - 2*z**4\/15 - 8*z**3\/5 - 2707*z. Find q, given that u(q) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/12 + 2*q**2 + 224*q. Let x(m) = 9*m**2 - m. Give c(x(g)).\nAnswer: 405*g**4 - 90*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c4 + 5?\nAnswer: -3be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 3*g - 3. Let l(z) = z**3 + 4*z**2 + z + 2. Let d be l(-4). Let b be j(d). Calculate the remainder when (65\/15)\/(b\/(-3)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 4, r: 6, n: 3, p: 2}. Give prob of sequence fsn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1138.794l?\nAnswer: 1138794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:17 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 + 435 = -84*s - 723 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n + 473 = -527 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 7?\nAnswer: 111\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-12)\/(-16))*(-6)\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-16)\/4)\/4*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 327 and 2226.\nAnswer: 242634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/7 + 766*n**3\/7 + 154873*n**2\/7 + 3134472*n\/7 + 16744464\/7.\nAnswer: (n + 11)**2*(n + 372)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-15) + -9)*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53863 and -9673353.\nAnswer: -9619490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.15 and -0.3236.\nAnswer: -0.1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -0.5, 1\/7, -28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -2, 4, 3.\nAnswer: -171, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from mkukissm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 494924 or 989847\/2?\nAnswer: 494924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -4*l**6\/3 + 17*l**3\/3 + 26. What is the third derivative of a(t) wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 42 = 12*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3320794966 - -4.\nAnswer: 3320794970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 7:23 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 877 divide 11241813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2 + 0*k**4 - 2*k + 0*k**3 - 1\/20*k**5 - k**2. Let m(o) be the first derivative of l(o). Differentiate m(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 46*j**2 + 3 + 6*j**2 - 3*j. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20876753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/26)\/((o\/o**(-6\/13)*o)\/o))\/(o**(1\/16)*o*o*(o**(-17)\/o)\/o*o*o) assuming o is positive.\nAnswer: o**(2779\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -299 + 299. Suppose 0 = 3*w - 4*w + 2. Suppose -w*h - k = v, 0 = -5*h + h + 2*k - 8. Let x(a) = 18*a**3 - 2*a**2 - a. Determine x(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230102011102 (base 4) to base 14\nAnswer: 1782678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (215\/(-10))\/(-43)*-100\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 times -0.1?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 3\/521?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + 2 - -1. Let c(l) = l. Let k be c(u). Suppose k*x = 5*x - 3. Solve 0*s = -3*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -110, -85, -68, -65, -82, -125, -200?\n\"Answer: -c**3 + 5*c**2 + 19*c - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1042*i**2 - 123*i - 185. Is j(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -4, -5, -6, -7, -8?\n\"Answer: -g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 989 and 1?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, h: 3}. What is prob of picking 1 h and 2 g?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 277723958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.016 - -0.016. Let p = 0.12 - -0.98. Let i = -1.1 + p. Which is the nearest to x? (a) i (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*u**4 + 5*u**2 + 4.\nAnswer: -3408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48, -45, -42, -39, -36?\n\"Answer: 3*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*w - 0*y + 19, y = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o + 269*o = -73*o + 63*o + 3883 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -61. Suppose 0 = -5*b - 11 + z. Let v = -49.7 + 50. What is the third smallest value in b, v, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 122. Which is the third smallest value? (a) 0.5 (b) u (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76) - sqrt(76))*-6)\/sqrt(4)*-4.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Let g be (6\/o)\/(6\/16). Suppose -5*d + 14 = g. Is d at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 3.24 (c) 81 (d) 4\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (0\/3 - -266). Let f be c\/(-26) + (-12)\/(-78). Let q(s) = -14*s - 6. Is q(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -1\/9, -2361, 4\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.36 + 12. Let v = h + -0.04. Which is the closest to 3? (a) v (b) 2\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-1 + 8) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:56 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(0 - -1))\/1. Suppose -f + t = -4. Suppose -4*h = -f*h + 127. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 - 2*(-6 - 7). Let z = -70 - -73. Let j(x) = x**2 + 3*x + 2. Let m be j(-2). Solve -2*d = -8, -i = -z*f - 5*d - m*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 389.373192 - 0.4\nAnswer: 388.973192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6\/(v*v**5*v))\/(v**(-1)\/v)**(-38))\/((v**(-1))**(1\/3))**(-17) assuming v is positive.\nAnswer: v**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 104.0000094. What is q rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16756773*j - 16753015 with respect to j.\nAnswer: -16756773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -1\/3 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(208)*-1)\/sqrt(4) + sqrt(3328)*2 + sqrt(3328))**2*1.\nAnswer: -55016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + (sqrt(168)\/sqrt(3) + sqrt(56))\/sqrt(2) + 1 + sqrt(1008) - ((2 + sqrt(252))**2 + sqrt(175) + 0).\nAnswer: -255 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w - 38*w - 132*w**2 - 73*w.\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1058\/(-28037) + (-6062)\/(-530)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14160121 (base 7) to base 11\nAnswer: 825894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -47, -108, -195, -314?\n\"Answer: -q**3 - 4*q**2 - 22*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 709791*w**4 + 766367*w?\nAnswer: 8517492*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -516 + 543.1. Let i = p + -27.2. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:03 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 40. Suppose -v*i + i = -336. What is the greatest common divisor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5866*(-3 + 10\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**4 + n**4 - 4*n**4 - 34*n**3 + 34*n**3 + 9*n**4 + (n**3 + n**3 - 3*n**3)*(-2*n - 2*n + 2*n) - n**2 + n**2 + 2*n**4.\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(208) + (sqrt(208)*1 - sqrt(208)))**2)*1.\nAnswer: sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55451\/(-66))\/71 - (-1 - 114\/(-144))*4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b - 1. Let t(a) = 2*a**2 + 10*a + 5. Let v be t(-7). Let o = -21 + v. What is the least common multiple of o and h(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1773322 + -3?\nAnswer: 177331d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n. Let m(x) be the first derivative of -x**2\/2 - 3. Give i(m(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - h**2 + 5*h**3 - 1 + 0*h - 6*h**3 - h**2. Let m be b(-2). Solve -4*f + m = -17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -21*l + 220. Let d(i) = -4*i**3 - 701*i**2 + 525*i - 517. Let y be d(-176). What is f(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + m**2 + 8*m**3 + 0*m**2 + m. Suppose 12*v - v - 55 = 0. Let g be (v\/(-10))\/(5\/10). What is u(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bohowwwasobsow. Give prob of sequence ahoo.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-14) - 4*6\/(-24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6265 + 97044.\nAnswer: 97044.6265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*x**3 - 578*x**3 + 292*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 + 200.2. Which is the second biggest value? (a) p (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2716*f**2*o**3*y - 2*f**2*o**2*y + f**2*o*y + 7*f*o**2 + 3*f - 194650*o**3*y + 1301478 wrt o.\nAnswer: -16296*f**2*y - 1167900*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -5*f. Let t be 102\/30 - (0 + (1 - -1)). Is t at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -9247 = -83219\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 172 = -453. Differentiate 22 + p*y - 65 - 21 - 12 with respect to y.\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4 - 4 + j + 16 - 3. Suppose -4*y - 5 = 11. Let n be (y - -2) + (-8)\/2. Determine g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 37?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**7\/4200 - a**6\/120 + 21*a**5\/200 - 27*a**4\/40 + 62*a**3\/3 - 4*a**2. Let h(x) be the first derivative of q(x). Factor h(z).\nAnswer: (z - 9)*(z - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (-3168 + 3176 - ((3 - 4) + -1 + 8)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) + -3)**2 + ((-2*sqrt(108))\/sqrt(3))\/sqrt(12).\nAnswer: -44*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:42 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3*c)*(1 - 3 + 1) - 827318 + 827318 - 343*c to r*c + s and give r.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n - 2950000. What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 9. Let d be t(14). Suppose -460 = -s - d*s. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.698 - -0.408. Let l = 0.29 + n. Sort l, -5\/3, 0.\nAnswer: l, -5\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 42. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as 901\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**3 - 4*l**2 - 4*l + 9. Let a(i) = i**3 - i**2 - i. Let s = 30276 - 30275. What is s*y(z) - 4*a(z)?\nAnswer: 2*z**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4 - 442412*f**3 + 442412*f**3 - 10*f**2 + 4111 - 13*f**4 wrt f.\nAnswer: -48*f**3 - 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 6*y**4 - 27*y**3 - 112*y**2 + 276*y - 144.\nAnswer: (y - 4)*(y - 1)**2*(y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - h - 1. Let j = -14 + 8. Let t(c) = -c**2 - c - 1. Let o(m) = j*t(m) + 6*d(m). Let i(g) = -2*g. What is o(i(a))?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtttrrtrrrtrrttrt. Give prob of sequence tt.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28107558.\nAnswer: 2, 3, 311, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 31*g - 23. What is v(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-11) - (-3600)\/(-17160))\/(93\/806). Suppose 3*v - 7*v = -24. Factor u*o**3 + v*o**2 + 0 + 8\/3*o.\nAnswer: 2*o*(o + 4)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1549591548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 2*i**2 - 6. Calculate c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120381507 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15707 by 1172.\nAnswer: 15707\/1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40531 - -3?\nAnswer: 40534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 3. Let m(d) = 5*d**2 + 16. Let c(a) = -11*l(a) + 2*m(a). Let p be c(-1). Put -3, 4, p in decreasing order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 134799894 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/20 + u**3\/5 - 9*u**2\/10 - 2*u. Factor i(n).\nAnswer: 3*(n - 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - x = 1, -15*u - 4 = -13*u + x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:23 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:02 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24676 + -24679. Which is greater: w or 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 - -184. Suppose -6*h + 75 = 5*x - h, z*x - 40 = -4*h. Calculate the remainder when 50 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3658*t - 97473 - 245537 + 97924 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10291 and 260789.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 404, 605?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -10\/7, 65, 3.01, -3?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1396 = 1408 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 4*m**2 - 2*m. Let j be (-20)\/130 + (-50)\/13. Let x(g) = 2*g**3 + 5*g**2 + 2*g. Give j*c(u) - 3*x(u).\nAnswer: -2*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i - 13 = -22*i - 4*l, 820*i = 825*i + 39*l - 5*l + 127 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccccdcccccc. Give prob of picking 1 d and 1 c.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 4*l**6\/15 + 11*l**5\/10 + 5*l**4\/6 - 2*l**3\/3 - 43*l - 26. Let u(t) be the first derivative of p(t). Factor u(z).\nAnswer: 2*z*(z + 1)*(z + 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*j - 9212 = 151*j - 333*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 346360 and 21000?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*c - 61, 0 = 2*c - 5*x + 6*x + 43. What is the units digit of 42\/(-147) + c*8\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*i**4*j + i**2*j**3 + 4*i**2*j + i - 1252*j**3 + 1 wrt i?\nAnswer: 1128*i**2*j + 2*j**3 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3111331012 (base 4) to base 14.\nAnswer: 18b530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t - 91. Determine x(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44402 - 44358. Solve 48 + 216 = -f*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*m. Let s(v) = -v**2 - 7*v + 7. Let f be s(-7). Suppose f*u = 3*u + 28. Calculate the remainder when u is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -223 - r**3 + 224 + 5*r - 6*r. Let t(u) = -u - 11. Let w be t(-12). What is c(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(1\/3))\/((z*z**(-8))\/z))**45)**(2\/95))**(-17) assuming z is positive.\nAnswer: z**(-2652\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -161, -126, -85, -44, -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1)*95\/(-15). Let j = 17 - n. Sort -4, j, 3 in increasing order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -20149?\nAnswer: 564172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*6)\/(-2)*1. Let o = k - -7. Let v = 0.34 + -0.24. What is the closest to v in o, 1\/7, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/70*4\/3 - -1. Which is the second smallest value? (a) v (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789, 1583, 2389, 3213, 4061, 4939, 5853?\nAnswer: 6809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 - 934 = 113*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735167 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 9*o**2 - 10*o - 12. Let b be l(-8). Does 2 divide b\/7 - 9415\/(-245)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115694382 + 67534382. What is t rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1 + 5*p - 5 + 2*p. Suppose -281*l + 13*m - 35 = -280*l, 4*l - 1 = 5*m. Calculate c(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5206738*g**3 + 21378174?\nAnswer: -15620214*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 1. Let t(b) = -b**2 + 3*b - 5. Let h be t(3). Let s(l) = 7*l. Suppose 11*d = 3*d + 48. Give d*s(f) + h*w(f).\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(45))\/sqrt(9).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0 (c) -12 (d) 4\/17 (e) 2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 9*b - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(2\/5)*f*f)**(-15)\/(f**(-6)\/(f**(-6)*f)))**(-18) assuming f is positive.\nAnswer: f**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - v**2 + 3*v. Let p(s) = 5*s**3 - 2*s**2 + 8*s - 1. Let g(r) = -26*r**2 + 30*r - 1. Let i be g(1). Calculate i*p(q) - 8*x(q).\nAnswer: -q**3 + 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from {t: 3, g: 1, i: 1, s: 1, v: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13712927509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m - 3. Let i(p) = -4*p**m + 5*p**2 + p**2. Let z(v) = -v. Calculate z(i(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 0*d**4 + d**2 + d**4 + 65*d - 21*d to the form w*d**3 + y*d**4 + g*d + a*d**2 + v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 5279112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465 and 2139?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.046 + -0.046. What is the nearest to -2 in -5, 3, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1976602 is divided by 1398?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -7435?\nAnswer: -46\/7435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 3022\nAnswer: 25\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + k. Let q be n(0). Let b = 2 - q. Suppose 2*j = 0, -4*x = -24*j + 25*j - 8. Solve x*w - 4 = -b*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 16\/9, -4, 0, 3\/7, -2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15769089 is divided by 16190.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d - d**5 + 61*d**5 - 2155*d**2 + 2155*d**2 + (-2*d**3 + 4*d**3 - 4*d**3)*(-2*d**2 + 4*d**2 + 0*d**2) - 2*d**5 + 2*d**5 + 6*d**5.\nAnswer: 62*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1589*l - 1597. What is the tens digit of y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/845 and -95\/3042?\nAnswer: 15210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*d + 1, 4*d + 3*v - 8*v = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*d, -2*x - 25*d = -21*d + 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -713, -2727, -5811, -9743, -14301, -19263, -24407, -29511?\n\"Answer: 37*h**3 - 757*h**2 - 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (91 - -2)*(-4)\/(-12). Suppose 2*w + 5*t = 62, t + 0*t = w - p. What are the prime factors of (2\/(-2) - -2) + w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*v + 5*g, -3*v + 5*g = -25 - 5. Let p(d) = 149*d + 2. Calculate the remainder when p(5) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*f + 1, 13*f - 10*f + 19 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let q be (l\/21)\/(1\/6). Sort 0.1, q, -0.5 in decreasing order.\nAnswer: 0.1, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 178800 + -2714?\nAnswer: 176075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**2 - 55*t - 55. Let j(b) = -b - 1. Determine 55*j(x) - r(x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 8*l + 5. Let f be v(5). Let n = f + -41. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n - 654111 = -6761150. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*q - q - 4, 2*q = 2*b. Suppose -b*v = 5*v - 1337. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 - 11*p**3\/2 + 103*p**2\/2 + 42*p. What is the units digit of m(44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -509\/7 + 73. Let a = 242 + -239. Let 0 + 0*b + 2\/7*b**a + p*b**2 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5117 and 2709?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031 - 111010?\nAnswer: -102313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-1) - (-1 + 0). Let n(o) = o**2 + 8*o. Let i be n(l). Solve i = -4*s + 2*q + 4, s - 4*q - 10 = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/60 + u**4\/24 - u**3\/2 - 7*u**2. Let j(x) = -1. Calculate -3*j(l) + s(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 1, 7 in descending order.\nAnswer: 7, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1970, -0.09046, -3?\nAnswer: -1970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 + 25*r + 46. What is t(5)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151\/151 + -1*8 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 4:01 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11*-251 + (7 + -5)\/2. Let p = o + 15701. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*v - v + a, -4*v = -a - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/(-2))\/(34\/(-4607)). Let m = g + 1576. What is the common denominator of m and -179\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 11*a**2 - 11*a + 16. Let l be g(-12). Solve -l*i = -5*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12 - 8 - 3*v**2 - 235*v**3 + 4*v**2 + 2*v**2 - 2*v**2 wrt v?\nAnswer: -1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 16768664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 2612561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011001011110001 (base 2) to base 7.\nAnswer: 642423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -9. Calculate the least common multiple of (r\/(-2))\/((-2)\/12) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 3)\/2 + -1. Let n be 0\/(-3 - (s - -1)). Let y = -5 + 7. Solve 2*q - 3*c - 3 = -5, -2*q + y*c = n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4561 is divided by 642.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 2474626.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*x**2 + 943*x**2 - 477*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(3))\/(sqrt(18)\/sqrt(150)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 2*d - 5*m + 17, -5*d + m - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*o = -o + 16, -2*w = 5*o - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100225?\nAnswer: 5, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*n**3 - 6788*n**2 - 1824*n.\nAnswer: 2*n*(n - 24)*(143*n + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/10 - (5 + (-46)\/10). Find the third derivative of -s**o + 2*s**4 + 7*s**4 - 5*s**2 + s**4 wrt s.\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 1705, 3462, 5777, 8650, 12081, 16070?\nAnswer: 20617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 4*g\/5 + 14.\nAnswer: -2*(g - 5)*(g + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + 63. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 127*k**6\/120 - k**5\/20 + k**4\/2 + 12*k**2. What is the third derivative of r(o) wrt o?\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 98*s**2 + 210*s + 306.\nAnswer: -2*(s - 3)*(s + 1)*(s + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 20\/3*b**3 + 2*b - 2 - 135\/4*b**4 + 0*b**2. What is the third derivative of a(x) wrt x?\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -518.958 - -519. Let p = o - -0.058. What is the closest to -2\/11 in -1\/6, 0.2, p, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286637068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22426220 by 24.\nAnswer: -5606555\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 11315, -1\/8 in decreasing order.\nAnswer: 11315, 3, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exxe when four letters picked without replacement from {f: 1, x: 10, e: 3, r: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -123646.98 rounded to the nearest 100?\nAnswer: -123600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 15. Let g be q(-3). Let p = 26 - g. Suppose -5*u = p*j - 185, -11 = j + 5*u - 36. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - ((-27)\/6 + -6). Let s(d) = -6*d + 6. Let u(b) be the first derivative of b**2\/2 - b - 3. Give o*u(z) + 2*s(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 40*y - 239. Let g be p(6). List the prime factors of (73*(g - -2))\/(4\/4).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r + 56*r - 1149 = 437 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 9:14 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.0604416719 - -1045.3.\nAnswer: 1042.2395583281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -207639 - 688*r**2 + 207639 + (r - r + r)*(1 + 2*r - 1) - 2*r + 2*r - 7*r**2 in the form o*r + u*r**2 + f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 9 = 0. What is the remainder when s is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 199339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 + -5?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + (-18 - -12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491252*a**2 - 242468*a**2 - 248784*a**2 + 3*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 80586 = -56*m + 20*m. Calculate the highest common factor of 99 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -0.15 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 39787 = -39804 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -45. Suppose -h + 8 = c. Solve -z - 2 = -h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/3))**21\/(j**1\/(j\/(j\/j**(-1\/11)))))**(1\/9) assuming j is positive.\nAnswer: j**(296\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5957671.\nAnswer: 5957671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*t*t**(-3\/5)\/t*t)\/t)*t**(-10)*t\/t**7*t*t**(-8) assuming t is positive.\nAnswer: t**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 + (-3 - (-1 + 1)) is divided by (-6)\/(-1) + (-48)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**4 - 2*l**2 + 949*l + 27?\nAnswer: 4*l**3 - 4*l + 949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 8) to base 2\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - 1 - (-1 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220212200 (base 5) in base 4?\nAnswer: 121331021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w. Let c(s) = 5140*s + 614. Let j(x) = c(x) - 3*i(x). Differentiate j(a) with respect to a.\nAnswer: 5182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 2*r + 2. Let p(l) = -7*l**2 + 5*l - 5. Let u(k) = -2*p(k) - 5*w(k). Let j be 1*(-1 + 1)*1. Let o(c) = -3*c + j*c + 5*c. Give u(o(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 7592292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010888 to 6 decimal places.\nAnswer: 0.001089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(1377)*-6 + sqrt(1377) + (4*(2 + sqrt(1377) + sqrt(1377)))**2) + -5)*-6*6.\nAnswer: -6349932 - 79704*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/1013?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309275138 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 29 = -3. What are the prime factors of (n\/(-4) + 3)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.262 or 8898?\nAnswer: 8898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10 = -5*v, -5*c - 32 = 5*v - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9))**(-1\/5) assuming u is positive.\nAnswer: u**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:35 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by -59.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, -34, -11 in decreasing order.\nAnswer: 1, 0, -1, -11, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742 and 143577?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2 + 525*o + 0 - 528*o - 2. Calculate f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/5 - 60536*m**2\/5 - 40938752*m\/5 - 1400151552 = 0.\nAnswer: -29580, -344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116484515429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x**2 - 12*x**3 + 40*x + 8 - 8. Let d(l) = -4*l**3 - 3*l**2 + 13*l. Let r(w) = -8*d(w) + 3*o(w). Find m, given that r(m) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1016 + -1014. What is the biggest value in -2, g, -4, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/624*429 + -50\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.067 in 4, 2\/7, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11525567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*j, -j = -4*z + 3*j - 280. Let n be 4 - (z - (-1 + 0)). What is the greatest common divisor of n and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 13*z**6\/40 + 23*z**5\/30 - 19*z**2 - z. Find the third derivative of u(f) wrt f.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101210212 - 111201?\nAnswer: 12101022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 48 + (10 - -1) + -2 + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -1230\/7. Sort h, -5, -3\/8 in descending order.\nAnswer: h, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1cfa0 + -157?\nAnswer: 1ce49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let q(t) be the first derivative of -1 - 7*t + 7*t - 5*t**3. What is w(q(h))?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 + -15 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w + 53*w**2 - 3 - 1 + 1 + 0. Let l(c) = 264*c**2 + 104*c - 16. Let p(f) = 3*l(f) - 16*y(f). What is the second derivative of p(t) wrt t?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-121)\/57 - 52\/247. Let z = -21\/2 - -11. What is the second biggest value in -2\/11, m, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 4\/11 (b) -0.5 (c) -7 (d) -18\/665\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63431 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3024) - (sqrt(3024) + sqrt(3024)*1)) + 4*sqrt(3024)*2)\/(2*sqrt(6)\/sqrt(2) + sqrt(216)\/sqrt(8)).\nAnswer: 36*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -105270960 to the nearest one hundred thousand.\nAnswer: -105300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2 = 0, -2*b - 5*f = -2*f - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*w**5 + 6*w - 75*w**2 + 4*w + 165*w**3 - 145*w**4 + 16*w**5.\nAnswer: 5*w*(w - 1)**3*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -102. Let t = k + 32. Suppose t*q + 3*l - 16 = -l, 3*l = -2*q + 18. Solve -3*x + q = 5*b, -3 = -5*b + 2*x + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 807608 = -5*n, -3*l - 52815 - 108697 = -n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -8217\/16948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12 + 3 - 37*q - 23 + 38*q. Let p be g(34). Which is the closest to p? (a) -1 (b) 0.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)\/(u**(-3)\/u))\/(u\/(u\/(u**(-5\/3)\/u))*u\/((u*u**0)\/u)) assuming u is positive.\nAnswer: u**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 > -0.099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = -4*i - 65, -3*p = -0*i - 5*i + 36 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 3. What is the lowest common multiple of 1 and 1\/(-3 - (-44)\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66542250101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 f when three letters picked without replacement from fssssfsfssf?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15220 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4 - 12. Let m be ((-21)\/14)\/((-1)\/l). Let x = m - -9. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.3. Let v = 0.42 - 0.4. Let f = v + 0.38. Which is the closest to 1? (a) 2 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1711.0694 + -0.0694. Let l = h + -1717.97. What is l rounded to 1 dp?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.02 + -6794958.2\nAnswer: -6794959.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -749536653, -749536652, -749536651, -749536650, -749536649, -749536648?\n\"Answer: m - 749536654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 506*s. Let j(q) = 5*q**2 + 6. Let v(o) = -4*o**2 - 5. Let a(u) = 5*j(u) + 6*v(u). Give a(l(t)).\nAnswer: 256036*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cll when three letters picked without replacement from {l: 13, g: 3, c: 1}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = 2*a. Let o(s) = s**3 - 4*s**2 + 4*s + 2. Let b be o(3). Let r = a + b. Sort 0, -3, r.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 11*v - 12. Let x(n) = n**2 - n - 1. Let a(y) = -r(y) - 3*x(y). Let g be a(-8). Suppose 3*o = g + 57. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1661358mg in tonnes?\nAnswer: 0.0000000001661358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -94, -207, -390, -661, -1038?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 377766 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-2814)\/(-35) - -3*6\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 27*n - 6. Let j be z(-8). Suppose 13*h + 15 = j*h. Calculate the greatest common factor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j + 5717*j**2 + 2*j - 11435*j**2 + 5711*j**2.\nAnswer: -7*j**2 + 58*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 372859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8 + 24*s - 12*s**4 + 11*s - 7 + 7 - 43*s**2 + 28*s**3. Let b(m) = 22*m**4 - 56*m**3 + 87*m**2 - 69*m + 16. Let f(l) = 3*b(l) + 5*v(l). Factor f(o).\nAnswer: 2*(o - 2)*(o - 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 147\/13153477?\nAnswer: 147\/13153477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10227*r**3 + 2*r**2 + 18848*r - 1.\nAnswer: -61362*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 5, 3, -2, -3 in decreasing order.\nAnswer: 5, 3, 0, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/26*(-93431)\/(-43122).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 3*p**2 + 3*p - 4. Suppose 5*l = 3*l + 10. Let b = -2 + l. List the prime factors of f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405051 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 608060 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1, 0, 3, 12, 2 in decreasing order.\nAnswer: 12, 3, 2, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(243) - -3*-1*sqrt(243)) + 5 + sqrt(243) + sqrt(243)*-1)**2 - (5 + (1*sqrt(300)*6)**2)*6.\nAnswer: -58848 - 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44288\/(-2076) + (-2695)\/(-126)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.369 and 795378.\nAnswer: 293494.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = j - 5*j, -2*j = -2*p - 8. Let f = 586668 + -586668. Solve j + f*c + 2\/11*c**3 - 4\/11*c**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183623.8 weeks in days?\nAnswer: 1285366.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a**2 - 3*a**2)*(-2 + 0 + 1) + a - a**2 - a - 12*a**2 - 129*a**2 - 46*a**2 + a**2 - 2*a**2 + 2*a**2.\nAnswer: -185*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3230 + 289159. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2454*b + 1. Let u(x) = -52*x**2 - 9*x. Let k(a) = 6*a**2 + a. Let s(q) = -9*k(q) - u(q). Determine p(s(f)).\nAnswer: -4908*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123180 and 123180.\nAnswer: 123180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3 - c - 4*c**2 - c**2 + 4*c**2. Let l(a) = -a**2 + 2*a - 1. Let g be l(1). Let f be v(g). Solve -5*p + 2*t + 0*t - 17 = 0, 0 = p - f*t + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 277 (c) -8 (d) -2\/13 (e) -0.1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(539) + 1*2*sqrt(539) - (sqrt(539) + sqrt(539) + sqrt(539) + -5 + (sqrt(539) - (-1 + sqrt(539)))))**2)*3.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 6*m + 7. Let o(r) = 2*r**3 + 5*r + 6. Let n(d) = -6*l(d) + 7*o(d). Find the second derivative of n(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(162))**2*-2 + 1 + -6*sqrt(288)*-5.\nAnswer: 357 + 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5295 + 7765. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5804 + -2636. Let t = u + -1981. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + -3 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356987356.\nAnswer: 2, 8821, 38459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -30*p**2 + 5*p - 1. Let r(s) = s**2 + s - 1. Let u(g) = -r(g) + v(g). What is the second derivative of u(l) wrt l?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:44 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 43 = -2*l + 4*b - 52, 78 = -21*l + 2*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-209 + 85 + 53).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 2*m - 4*k, 13*m - 171*k = -174*k - 127 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 1.7. Let q = 0.09 - 8.09. Let y = 8 + q. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 - i - 1. Let t = 24 - 19. Suppose -t*p - 2 = -3*p. Give g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29214731 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3722421*c**2*o - 3682660*o wrt c.\nAnswer: 7444842*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 81*g + 111. What is the units digit of k(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - o - 4 = 0, -4*d - 56 = -o - 72 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 27*b - 94. Let i be z(4). Let t(n) = -2*n - 4. Let y(l) = -l**2 + l - 1. Let w be y(2). Let x be t(w). Put i, x, -3, 0.4 in ascending order.\nAnswer: -3, i, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/10)\/(414\/(-345)). Let x be (-6)\/(-4) + (-5)\/6. Find k such that -q*k + 0 - x*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**3 + 23*t**3 - 16*t**2 + 26*t**3 + 84*t**2.\nAnswer: t**3 + 68*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.8, -4, 39?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39*3556412\nAnswer: 138700068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -543 and 18.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*u + 49. Let m(t) = -6*t - 20. Let d(y) = -3*y - 10. Let q(b) = -7*d(b) + 4*m(b). What is the remainder when 20 is divided by q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -10, 1 in descending order.\nAnswer: 138, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5173 or 5424?\nAnswer: 5424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -1141.\nAnswer: -26\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Let o(r) = u - 6*r - 1 + 2*r. List the prime factors of o(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**2 - 5*q + 18. Let w(a) = 3*a**2 + 120*a + 615. Let f be w(-34). Let j(o) = 4*o**2 - 2*o + 6. Determine f*r(p) - 8*j(p).\nAnswer: p**2 + p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1670 and 304942?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -7 + 1999 - (-2 - (0 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -0.09, -0.2, 23\/4 in ascending order.\nAnswer: -2, -0.2, -0.1, -0.09, 23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 1\/18*c**3 + 1\/3*c**2 - 5\/6*c - 4. Factor i(k).\nAnswer: (k - 1)*(k + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 156*x - 1649. Determine j(-10).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*a + 134*a - 227 - 2037 = 1384 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z + 1. Suppose -3*d = 72 - 39. Let m(u) = 31*u + 5. What is d*i(g) + 2*m(g)?\nAnswer: -4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -6, 3 in decreasing order.\nAnswer: 3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-1 + -4 + 7. Find the first derivative of 4*n - p*n + 2*n + 1 + 5 wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 74. Let h = -24.4 - i. What is h rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140 in 3, -1, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6847+-693\nAnswer: -692.3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*i**2 - i**3 - 2 + 4*i - i - 1 - 3 + 19*i**2 to the form k*i**3 + b*i**2 + s + h*i and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5348.321mm in centimeters?\nAnswer: 534.8321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbeyby. What is prob of sequence beb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*11\/11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z + 1. Let i be r(2). Let f = i + 30. Suppose -4*a - 16 = -56. Calculate the highest common divisor of f and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98671749 is divided by 3957.\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)*t)**(8\/9))**(4\/19) assuming t is positive.\nAnswer: t**(224\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 37 = -2*b, 0 = 5*b + 28*p - 29*p + 25 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/10 - -12\/5. Let s be 414\/112 + (-4)\/(-16). Let o = s + -25\/7. Sort o, r, -0.3 in descending order.\nAnswer: o, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-79025)\/(-203) + 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*c\/c**7 assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/3 + 798644*v + 2395931\/3 = 0. What is v?\nAnswer: -2395931, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*r - 63 wrt r?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/21 and ((-273)\/4)\/(6*(-54)\/24).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*z - a, -4*z + 2*a = a - 22. Suppose -15 = -5*w - z. Is -3 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 4 + 4 - 32*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let u(t) be the third derivative of t**7\/2520 - t**5\/10 - 10*t**2. Let g(z) be the third derivative of u(z). What is a(g(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/353 + -688\/3177. Let u = 41155 + -329237\/8. Let r be (-2)\/(-2) + (-2)\/(-4). Sort 5, u, r, n in decreasing order.\nAnswer: 5, r, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*k - 1 = 4*k + 4*h, 0 = -10*h - 0 + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 315834193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12)*-2)\/((-1700)\/(-163200)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/16 + -1 + 1 + 2. Suppose 4*f = 2*b + 4, 10*f - 8 = 6*f. What is the nearest to x in b, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158673 is divided by 52890.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(3564) + 2*sqrt(3564) - sqrt(3564)) + sqrt(3564))*2)\/((-1*sqrt(324))\/(sqrt(99)\/(sqrt(33)\/sqrt(3)))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-210 - -38 - -41 - -20)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*y + 2*j, -512 = 4*y - j - 483 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*v + 6 = 331*v. Sort v, 2, 4, -5 in increasing order.\nAnswer: -5, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 934?\nAnswer: 934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 2, g: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 8*k**2 - 15*k + 14. Let f be i(6). Which is the nearest to f? (a) 0 (b) -1\/4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4072788*p*q**4 + p - 784*q + 318 wrt q?\nAnswer: -48873456*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbivbviibbivbvibbb. What is prob of picking 4 i?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 12*i + 13. Let k be w(12). What is the greatest common factor of 52 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38\/11 - 1656\/473. Let l = -53\/215 - u. Is 0 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -619*x**5 - x**4 + 130*x**2 - 3144579*x.\nAnswer: -12380*x**3 - 12*x**2 + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**4 + 8*f**4 - 8*f**4)*(0*f - 3*f - 2*f).\nAnswer: -30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169\/70 + -19\/7. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*u + 70 + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -75.\nAnswer: 11\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l - 20. Let v(i) = -i. Let d(u) = -q(u) - 8*v(u). Calculate the lowest common multiple of d(-5) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 227910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z - 3. Let p be q(6). Suppose -4*n - p = 37. Let s = 22 - n. 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 second derivative of -1584*u**3 + 1454*u + 1?\nAnswer: -9504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a**3 - 12*a**2 + 7*a + 7. Let h be (-46 + -4 + 47)\/(3*(-1)\/7). Let d(m) = 7*m**3 + 6*m**2 - 4*m - 4. Give h*d(t) + 4*b(t).\nAnswer: -3*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 22*n**2 - 26*n - 310. Give z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 17*k**2 - 24*k + 124. Let n be l(13). Is n not equal to 3422\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-7) + 5668\/(-20020). Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 701.8 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 472 = 31*h. Let z = 1005\/2 - h. Calculate the common denominator of 59\/15 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2. Let s(v) be the first derivative of -v**2\/2 - 14*v + 6. Calculate 14*c(j) - 2*s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29512962 is divided by 1103?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.807 rounded to one dp?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 32044850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(18\/(-12)*29\/(-6)*2)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdjj. What is prob of sequence zzzj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 205*y + 22, 0 = -3*o + 40634*y - 40638*y - 33 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 15*n + 21. Give j(-15).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:32 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*i + 66*i - 686*i**3 + 30*i - 181*i**3.\nAnswer: -867*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996051143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 2*r**2 - r - 2. Suppose -4*l - p + 97 = 0, p - 8 = 2*l - 61. Let z = l + -7. What is the smallest common multiple of f(-2) and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -633\/5 - -127. Let p = -5.1 + 5.05. Let s = p - 0.25. Put s, f, -3\/8 in increasing order.\nAnswer: -3\/8, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/60 + 740*t**2. Let d(b) = -30*b**2 + 2*b. Calculate u(d(g)).\nAnswer: -900*g**4 + 120*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35571 * 0.2\nAnswer: -7114.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 307*l - 99616. Calculate j(324).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -98540 to the nearest one thousand.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11e1 + 6df8?\nAnswer: 7fd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1\/3, 3\/1277, 0.0514?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 154*q - 37. Let p be d(31). Let h(b) be the first derivative of b**3 - 3*b**2\/2 + 10*b + 1. List the prime factors of h(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 169*w - 8. Let h(c) = -170*c + 9. Let i(v) = -3*h(v) - 4*u(v). Let t be i(3). Let x = -114 - t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5\/3)*a)\/a)\/a**6)\/(a*a*a\/(a*a*(a\/(a\/(a*a**(-10))))\/a)*a*a*a**(-2)*a) assuming a is positive.\nAnswer: a**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/718 or -495?\nAnswer: 3\/718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-4*w + 5*w - 2*w + (3 + w - 3)*(4 - 3 + 1) + 14*w - 23 + 23)*(-2*w + 4*w - 4*w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 + 11)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = 72*i + 61*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 756059\/42680979 - -8\/12067. Find the common denominator of p and -58\/393.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from ggfn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3804076.7 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 + h. Let m = -68 - -69. What is k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791408.3ml in litres?\nAnswer: 791.4083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(-26)*6\/(-4). Calculate the smallest common multiple of 15 and 22\/33*(-81)\/t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -78. Which is smaller: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 120*b - 2*b**2 - 120*b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20382*a**4 - 3*a**2 - 4913*a - 2842?\nAnswer: -244584*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/18)\/(-1))\/(44\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j - 2*j + 0*j. Let w(g) = 11*g**2 + 5. Let p(t) = -2*t**2 - 1. Let q(n) = -5*p(n) - w(n). Give q(m(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12edf (base 16) in base 15?\nAnswer: 17e90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -1.8. Let r = 3.34 - 3.2. Let q = 0.54 - r. Put q, 7, j in increasing order.\nAnswer: q, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4265 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/((-68)\/(-102))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 65. Suppose -3*t + 44 + 283 = 3*g, -5*g + 555 = -h*t. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37131 - -78485. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6691 + 6695. Solve -5 = -p - 5*f, -c*p - 2 = 2*f - 4*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1102, 2205, 3308, 4411, 5514, 6617?\n\"Answer: 1103*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.047522541?\nAnswer: -0.047522541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mpppmddppmdm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6221*b + 36245 - 26722 = -96234 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -73 and -6121.\nAnswer: -6194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20501*j + 18517 - 413613 = 31199 + 291240 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -91*f**5 - 1020*f**3 - 1848. Find the third derivative of q(d) wrt d.\nAnswer: -10920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-108 - -191 - 62) + 48.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40830?\nAnswer: 2, 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*o**5 + 22*o**4 - 186*o**3 + 4649775*o**2 wrt o.\nAnswer: -5580*o**2 + 528*o - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, 1200, 1199?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - g - 2*g + (-3 + 1 - 2)*(-1 + 2*g + 1) + 7*g + 25*g + 26*g.\nAnswer: 52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -29. Suppose -8 - 4 = -3*f, y*f - 20 = -2*g. Suppose -t = 5*r + 12, -t = -g*r + 4*r + 7. Calculate the remainder when 90 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -11*l + 54. What is the least common multiple of 2 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 11 + 7)*((o - 4 + 4)*(5*o - 2*o - 2*o) + 2*o**2 - 4*o**2 - 2*o**2).\nAnswer: -102*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 150031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4791452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49182 and 576132?\nAnswer: 4032924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 - (-5 - (69 + -60 - (12 + (-5 - -3)))).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -31, -42, -53, -64, -75?\n\"Answer: -11*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 8. Let q be p(11). Let t(i) = 4*i**2 + 4*i - 7. Let r(d) = -2*d**2 - 2*d + 3. Let u(a) = q*t(a) + 7*r(a). Factor u(o).\nAnswer: -2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 49*c - 57. Let h be p(26). Let t be 6\/h*(-4)\/(-4). Determine v so that t + 3\/7*v**2 - v = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 2*o + o + (-288 + 288 - 21*o)*(-3 + 1 + 0)*(-47 - 20 - 38) - 3*o - 4*o + 4*o to the form q*o + p and give q.\nAnswer: -4414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 39671.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.01 - 0.01. What is the nearest to -4 in a, 4\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 15*d**2 - 58*d - 17. Let o be x(-8). Let u(h) = 8*h**3 + 8*h + 2. Let t(b) = -7*b**3 - 6*b - 2. Let s(i) = -3*t(i) - 2*u(i). Calculate s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2319, 2321, 2323, 2325, 2327?\n\"Answer: 2*f + 2317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.2, -0.4, 1 in decreasing order.\nAnswer: 1, -0.4, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17029, -17016, -17003, -16990, -16977?\nAnswer: -16964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - y + y**2 - 1 - 3*y**2. Let n be (-6)\/10 - (-4)\/(-10). Let k be l(n). Solve -m + 3*v = -16, -k*m + 6*v - v = -29 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 34*k - 1481. Let i be a(46). Sort -2\/9, i, 0.1, 2\/13, 3 in ascending order.\nAnswer: -2\/9, 0.1, 2\/13, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/((s\/s**24*s)\/s)))\/s)\/s*s)\/s**(-2\/5) assuming s is positive.\nAnswer: s**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0 - 5*i**2 + 1 + 1 + 3*i**2 + i**3. Let t be j(2). Solve -5*b + t = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 - 4595*c**4 + 72360*c**3 - 108040*c**2 - 289520*c + 505680 = 0. Calculate c.\nAnswer: -2, 2, 14, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:25 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -69. Let i(l) be the first derivative of 0*l + h*l**2 + 2\/3*l**3 - 3 + 3\/4*l**4. What is the third derivative of i(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let m(w) = 46 - 1746*w + 1 - 47. Determine z(m(d)).\nAnswer: 3492*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 2*y**2. Let t(f) = 4*f**3 - 4*f**2 + f - 27. Give -2*a(s) - t(s).\nAnswer: -2*s**3 - s + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m = -76*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*x**2 + 15*x**2 + 19*x**2.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4588645?\nAnswer: 5, 917729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, 25, 0.2, -10.1, 12?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-34))**(-9\/11)\/((o**(2\/5))**47)**10 assuming o is positive.\nAnswer: o**(-1456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 38. Suppose -g*x + 9 + 3 = 0. Calculate the greatest common factor of x and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/261 + 16416\/1653?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, t: 1, w: 1, l: 1}. What is prob of picking 1 l and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.81. Let n = 0.57 + o. Let k = 0.08 - n. Which is greater: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*y**4 + 58050*y**3 - 205182*y.\nAnswer: 144*y**2 + 348300*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486 (base 9) in base 2?\nAnswer: 10001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*u**3 + 23*u**3 - 20*u**3 + 28*u**2 - 2 + 16*u**3 to r*u**2 + n*u**3 + o*u + b and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 5. Let f(o) = -o + 1. Calculate 4*f(b) + y(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 316288243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/11)\/(m*m*m**(-1\/5)))\/((m*m\/m**(2\/37))\/m**(11\/5)) assuming m is positive.\nAnswer: m**(-3886\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062290, 2124624, 3186950, 4249262, 5311554?\nAnswer: 6373820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-50)*((315\/9)\/1)\/2.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 1. Let c(i) = -i - 30. Let j(p) = p + 8. Let t(u) = 2*c(u) + 7*j(u). Determine -3*r(a) + t(a).\nAnswer: 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8664)\/(-4180))\/(-3)*-11?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*39\/(-26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/1980 and 44\/89301.\nAnswer: 58938660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1862.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 57. Solve -4*b = 4*u - 2*u - k, 2*b = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1049745*h**3*q**2 + h**3*q - 8*h**3 - 39*h**2 - h*q - 8*q wrt q?\nAnswer: 2099490*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/9 and -55\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1121012211 (base 3) to base 4\nAnswer: 13230100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than -378?\nAnswer: -378.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.987747 weeks in seconds?\nAnswer: 1202189.3856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * 10\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v + 3. Let a(x) be the first derivative of 7\/2*x**2 - 11*x - 4\/3*x**3 - 18. Let o be 4\/(1\/((-11)\/2)). Calculate o*c(i) - 6*a(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.135 + 0.035. Let y = 0.2 + i. Let u = -0.89999975 - y. What is u rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + 92. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0*c**2 + 16*c**3 - c**2 - 3*c + 20*c**3 + 0*c. Let q be o(2). What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120430*f**4 + 90349*f?\nAnswer: 1445160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 204*v. Let f(m) = 1427473*m. Calculate n(f(t)).\nAnswer: 291204492*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034200106 to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:05 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13522, 13525, 13528, 13531, 13534, 13537?\nAnswer: 13540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(1694))\/(5*sqrt(800))*-6.\nAnswer: 99*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -16, 13, 1.\nAnswer: -47, -16, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/(-15))\/(2\/(-24)). Let z = 28 + r. Suppose -h - z = -5*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9014*q**3 - 2911995*q**2 + 2911995*q**2 + 9011*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l - l. Let x(c) be the second derivative of c**4\/6 + 2*c**3\/3 + 5*c**2\/2 + 2*c - 12. Let r be x(l). Solve r*k = -0 + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 10 in increasing order.\nAnswer: -6, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 2*z**2 - 18*z**2.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 32*s + 3. Let f(v) = 11*v + 1. Let z(t) = 11*f(t) - 4*k(t). Let q be z(-1). Let w(c) = -c**2 + 6*c + 4. Let b be w(6). Solve 5*i + q = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45990, -45845, -45688, -45513, -45314, -45085?\n\"Answer: h**3 + 138*h - 46129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*d = -133*d. Let y = -1218 + 47498\/39. Is d greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k - 4. Let j(c) = -6 - 6*c**2 - c + c**3 + 10*c**2 - 3*c. What is the remainder when j(k) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 8*h - 21. Calculate g(12).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*29\/((-29)\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 28 = -5*w - 2*c, 3*w + 2*c - 20 = 0. Let a = w - -9. What is the remainder when 25 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2892)\/(-723)*(-2)\/4*-32.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let v = w + 0.5. Suppose 3*m - 13 = -d, 2*d = d - 2*m + 10. Sort v, 2, d in descending order.\nAnswer: d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/18409617 and -16\/549?\nAnswer: 18409617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g + 41258 = 52*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10 + 38 = 0. Is s\/(-21) + 4076\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 166, -0.2, -1\/16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122905\/906 + -3\/302. Let y = k + 137. Factor y*r + 2\/3 + 2\/3*r**2.\nAnswer: 2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(4*1\/4)*(-14)\/28. Factor 0*q**3 - q**4 + 0 - 1\/3*q**5 + d*q**2 + 0*q.\nAnswer: -q**4*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - (-7 + -583))\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -0.3 (c) 0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 + -1 + (84 + -40 - 11)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-3) - -3 - -1. Let o = w + 7. Suppose 2*m = o*m - 237. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10.5 (b) 0 (c) -391 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.7988 - 0.7636.\nAnswer: 27.0352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:25 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v\/(((v**(-1)\/v)\/v)\/v)*v)\/v)\/((v*v**4*v)\/v)*v\/(v*v**(-2\/5)*v)*v\/v**(2\/5)*v)**(-37))**42 assuming v is positive.\nAnswer: v**(-4662)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v**(1\/11)*(v**(6\/7)\/v)\/(v*v**(-12)))**(1\/2) assuming v is positive.\nAnswer: v**(460\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 4, f: 1, p: 4, m: 5}. Give prob of picking 1 m and 2 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 15. Calculate r(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 670.1 - 3975.0961\nAnswer: -3304.9961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89206\/3431 + (-1 - -52)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -8*m + 877. Let c be (4 + -2)*(-78)\/(-3). Calculate the highest common factor of m and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 4. Is 1\/4 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2384 is divided by 567.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0095*-0.1\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9263012 is divided by 14295.\nAnswer: 14147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:18 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 84, 88?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = 2*p - 14204, -t + 2 = 0. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2177873 is divided by 665.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*h + 94*h + 2 - 1 + 34*h.\nAnswer: -186*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x = 2*b - 492, 6 = 3*x. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609031733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)*w)\/w*w**6\/w*w**(-1)\/((w\/(w\/w**0))\/w) assuming w is positive.\nAnswer: w**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*q**3 - 83*c**3*q**2 - 113*c*q**4 + 3*q**2 wrt q.\nAnswer: -6*c**3 - 2712*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.736425 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102201221 + -3303?\nAnswer: 102131312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/60 - 5*n**4\/6 + 9*n**3\/2 - 8*n**2. List the prime factors of i(-19).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252023 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 166335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/600 - 5*f**3\/3 + 11*f. Let p(m) be the second derivative of c(m). Factor p(z).\nAnswer: -3*z**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3107*d - 10. Let a be y(-1). Is a*((-2)\/9)\/((-54)\/(-81)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11191 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4252, -4277, -4342, -4465, -4664?\nAnswer: -4957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3, 4, -5 in decreasing order.\nAnswer: 4, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:44 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -5217 - 14663. Suppose -3*v - 4*x + g = -1386, -x - 3773 = -4*v. What are the prime factors of v?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 14 = 9*x + 29, 5*x + g = -3. Solve -1\/5*p**4 + 1\/5*p**2 + 1\/10*p**5 + x + 0*p**3 - 1\/10*p = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 270*p**2 + 16*p - 36. Let u be j(2). Solve 0 = -1081*l + u*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 356*o**3*q**3 + o**3*q*s**3 - 75*o**3*s + 2*o**2*q**3*s**3 - 7*o**2*q*s**3 - q**3 - 2*q**2*s wrt q.\nAnswer: 2136*o**3 + 12*o**2*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose 0*t = -3*t + h + 136, i = -2*t + h + 91. Let d = t + -23. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 7. Let t = f + -12. Suppose -30 = -3*l + t. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -541*v**2 - 1026*v wrt v.\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 276423.\nAnswer: 1382115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191808110?\nAnswer: 2, 5, 13, 17, 229, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -16. Let o be 1*-3*(-2)\/p. Sort 0, o, 2 in increasing order.\nAnswer: o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12313124 + -21033?\nAnswer: -12334212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00934177 rounded to 5 dps?\nAnswer: -0.00934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**7\/42 - 191*s**6\/15 + 769*s**5\/20 + 191*s**4\/6 - 128*s**3 - 2*s - 598. Find c such that u(c) = 0.\nAnswer: -384, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -19. Suppose 3*m - 3*r = d*m - 4, 0 = 4*m - r - 16. Suppose -3*f - 14179 = -m*k + 1762, -3*f = 4*k - 15971. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 1231*z**8\/336 + z**4\/8 + 169*z**3\/6 + 334*z**2. Find the second derivative of h(q) wrt q.\nAnswer: 24620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 60233423*m**3 + 60233418*m**3 + 5*m.\nAnswer: -5*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 350\/8 + (104\/32 - 4). Suppose -m*f = -3475 + 1024. Solve -60*w = -f*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/18)\/(8\/(-18))*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 104. Which is the closest to -1? (a) 0.3 (b) y (c) 3\/5 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 23\/9, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10796348, -21592706, -32389062, -43185416, -53981768?\nAnswer: -64778118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 9:46 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/7? (a) 0.02 (b) -221 (c) 13\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 149112 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let n(a) = -a - 3. Let y(w) = 4*w - w - w + 9 - 3. Let g(p) = -5*n(p) - 3*y(p). Give -g(m) - 2*z(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 5*i + 6. Let t be 1 - (-2 - (3 + -2)). Let r be y(t). Suppose r = f + f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4\/5 - 206*n**3 + 227889*n**2\/5 - 2776628*n\/5 - 3005548\/5 = 0?\nAnswer: -1, 14, 299, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 12, d: 7}. What is prob of sequence ppdp?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30683 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -157 in -20, -35.4, -3\/5?\nAnswer: -35.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 3ba8?\nAnswer: -3baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawwaaaaaaawaaaa. What is prob of picking 2 w and 1 a?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*((-4)\/3)\/1. Suppose -24 + 48 = u*d. Solve -o = d*m - 15, -18 = -3*m - o - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -f - 9, 6*f - 8*f = 5*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2628 + -164?\nAnswer: -2803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969476.\nAnswer: 2, 17, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((6202\/(-1772))\/((-1)\/(-2)*1))\/11\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2646 and -22.\nAnswer: -58212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8 + 12. Let d be (-10*(-13)\/2)\/h. Let s = d + 256. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2163*d**2*k**4 + 7*d**2*k**3 + d**2*k + 8*d**2 - 815*d wrt k?\nAnswer: 25956*d**2*k**2 + 42*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574367177?\nAnswer: 9049, 63473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*w - 7758 = 18990 + 10542 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/(9\/12). Let h(j) = x + j**2 - 6*j + 2 - 2 - 2*j**2. What is the units digit of h(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150 - 22) + -37 + -52.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h**2 - 33*h**3 - 1 - 21*h + 34*h**3 - 17. Let g be q(-20). Solve 25 = g*z + 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 4*v - 6. Let w be g(-6). Let o(a) be the first derivative of -a**4\/4 + 2*a**3 - a**2 + 4*a + 29263. Calculate o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 913.1685 seconds?\nAnswer: 15.219475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*x + 18, g + 15 = -0*g - 4*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*n + 296 = 4150 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppnnn. What is prob of sequence npp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.167 - -0.267. Which is smaller: t or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14*l - 1386 = 0. What are the prime factors of l?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4\/4 + 6585*b**3\/4 - 8205*b**2 + 6560*b = 0.\nAnswer: 0, 1, 4, 1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 111 = i. Let r be -2 - i - 6\/(-2). Calculate the greatest common factor of r and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1315008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkyvkvk. Give prob of picking 3 v and 1 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 733942177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)*((-97)\/(-2) + 2). Let p = 246 - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 7. Let s = 350144 + -350076. Calculate the remainder when s is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 + 1\/120*b**6 - 1\/3*b**3 + b**2 + 1\/12*b**4 + 0*b + 1\/20*b**5. What is l(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18693?\nAnswer: 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/2 - 18*w**3 + 234*w**2 - 1296*w + 2592 = 0.\nAnswer: 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-7 + 12 + -2) - 1 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -7)*6\/(-6). Calculate the highest common factor of m and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2637, 5542, 8447?\nAnswer: 11352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:41 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21575681 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 2, 0, -5.\nAnswer: -5, 0, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 9*h - i = -7, 115*h = 118*h - 2*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 - (45\/(-5) + 3). Let c(t) = 3*t**2 - 5*t. Let z(m) = 4*m + 0*m - 2*m**2 + 0*m. What is d*c(a) - 5*z(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.95. Let j = -4.95 - o. Let t be 105\/(-33) + 3 - (-20)\/352. Put j, 1\/3, t in increasing order.\nAnswer: j, t, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 - 34*j - 14. Let b be q(-11). What is the closest to 1 in -0.5, b, -7\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 84177*a**2 + 2*a - 91*a - 84174*a**2 + 3*a**3 as s*a + z*a**2 + o + i*a**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/150 + b**5\/15 - 11*b**4\/15 + 32*b**3\/15 - 224*b**2 - 3. Solve t(c) = 0 for c.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*u = -43, 6*u = 2*u + 12. Does 12 divide (770\/20)\/(-2 - l\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.244091 less than -979844?\nAnswer: -979844.244091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*696\/(-464)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 4:16 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1761*-7912.\nAnswer: 13933032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 y when three letters picked without replacement from lyxllyllvy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6662125, -6662105, -6662063, -6661993, -6661889, -6661745, -6661555?\nAnswer: -6661313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = -3*j - 8*h + 21, -5*h - 35 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 6*f**2 - 7*f + 5. Let x be v(7). Suppose -x*s - 4*a = -a - 90, 0 = 3*a + 15. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533239 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 11 - 43. Suppose -y*j - 136 = -2*j. Let q = -29 - j. Calculate the greatest common divisor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368983764 and 432.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1244058 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/5 + 3546*i**3\/5 - 22469*i**2 - 361872*i\/5 - 49196 = 0.\nAnswer: -2, -1, 35, 3514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -14506 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15648)\/1630 + 24\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13443142 (base 6) in base 2?\nAnswer: -1101111100011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2428 divided by -607.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 278*g + 277*g - 18 = 0, 0 = -3*g + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - (-3 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t**3 + t**2 - t + 1. Let f be p(1). Let d be 50\/18 - 2\/f. Suppose d*y = -4*l + 52, -3*y = -0*y - 2*l - 28. Solve -3*k = -y - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12856 + -9058. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*w = 15, a - 5*w = 5882 - 5863 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391032, 391018, 391004, 390990?\nAnswer: 390976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/191, -5\/6494, 16?\nAnswer: -5\/6494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 150*l + 89*l - 619*l**2 - 4.\nAnswer: -619*l**2 + 239*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 21. Let s(c) = -5*c - 26. What is 3*h(p) - 2*s(p)?\nAnswer: -2*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172356 is divided by 169381.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2 - 4*x**2 - 2*x**3 + 119*x - 118*x. Calculate l(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 23*t**2 + 10*t - 43. Let k(c) = 8*c**3 + 70*c**2 - 31*c + 128. Let a(m) = 4*k(m) + 11*r(m). Is a(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*d. Suppose d*w = 5*w - 15. What is the third derivative of -3*u**2 - 2*u**2 + 7*u**3 - w*u**3 + 7*u**2 wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 13*s - 16*s - 931*s**3 - 13*s + 43*s - 1 in the form b*s**2 + q + h*s + w*s**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8.7. Which is the closest to -0.1? (a) -0.8 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.14 and 255.93537.\nAnswer: 256.07537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 + -35153245?\nAnswer: -35153210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66220 != 67379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -1814 (c) -24.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153471679 + -0.6?\nAnswer: 1153471678.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41422 or 41423?\nAnswer: 41422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (7 + -5)) + (4 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.85 - -1. Let y = o - 0.05. Let z = 105 - 104.5. What is the closest to y in z, -0.5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -3) + (18 - 3). Let p be 186\/42 + 8\/14. Let q = 33 - p. What is the greatest common factor of u and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1342 - 1341. Which is greater: -5\/317 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/19, -2, 0.35, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/5 (c) 3 (d) -3\/2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*251075\/54780?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2174*c**3*n**2 + 1773*c**3*n wrt n.\nAnswer: -4348*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9280000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 times 331.55?\nAnswer: -275.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1237496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/9 (b) -4\/9 (c) 0.5 (d) -5\/11 (e) 1 (f) -0.191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359268 = 265*y - 1347343 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) + ((-876)\/1610 - 24\/(-276))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**12\/c**(-16))**(3\/2))**47 assuming c is positive.\nAnswer: c**1974","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsv when three letters picked without replacement from wvwvwvswwvwtwt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/4))\/r**(-11))**(-48)*((r*r**2)**(-13\/6))**(-43) assuming r is positive.\nAnswer: r**(-665\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 7) + (-1 - (-1 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1637 + -741. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let m(d) be the first derivative of -3 + d - d + d**2 + 0. Calculate r(m(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:25 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x + 7. What is t(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -28604787?\nAnswer: -28604786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5254 - 5256. Let r(t) = 2*t**3 + t**2 + 5*t + 4. What is r(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w**(-1\/3)\/w)\/(w**4\/(((w\/(((w\/w**(-1))\/w)\/w))\/w*w)\/w)))**(-2\/103) assuming w is positive.\nAnswer: w**(26\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 + 24 = 2*b, 0 = 3*d - 2*b - 79. Suppose 0 = 5*l + 25, -l - 42 - d = 5*u. Let c be u\/21 - (-3 + 219\/91). Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24*(-3)\/(-27)*-3. Differentiate 13 + 2*r**3 + 3*r**3 + l wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2783 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161969*q + 156696*q - 324166*q to the form z + g*q and give g.\nAnswer: -5501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 804 - 806. Which is the closest to 2\/9? (a) -3\/7 (b) -1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 743*s**4 + 2899*s**2 + 206856 - 206856 wrt s.\nAnswer: 17832*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 206. Let w be r(-32). Suppose 0 = -g + 39 + 38. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 20*a + 25. Let n be 6\/(-10) + (-1385)\/25. Calculate the remainder when p(17) is divided by 1\/(-1 - n\/52).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*c + 19 = 0, 2*w + 3*w + 5*c = -5. Let d(g) = -8*g + 21. Let j be d(3). Sort 5, 1, j, w.\nAnswer: j, 1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, -5, -0.2 in increasing order.\nAnswer: -5, -2\/9, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*(-127)\/(-46990) - (-3)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-16)\/(-6)))\/((-6)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 1. Let f(d) = -1 + 10*d**3 - 17*d**2 - 1 + 2*d**2. Let p = 7235 + -7233. Let q(b) = p*s(b) + f(b). Find the third derivative of q(x) wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310564 is divided by 10018.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-189)\/(-623))*(-1098)\/6. Is 0 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*t + 11 + 0 - 11 as g*t + h and give g.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24623619.\nAnswer: 3, 8207873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15088556\/15 - 1005344. Let c = o - 559. Calculate the common denominator of -50\/21 and c.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l - 25. Let m = -13 - -19. Which is the smallest value? (a) 5 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/(((-100)\/(-15))\/10). Suppose 4*x - 22 = -2, -g*x = -y - 9290. Round y to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 plus -36?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980, 991, 1016, 1061, 1132, 1235?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173653 is divided by 68?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80277294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13915753361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9514136 + 4?\nAnswer: -9514132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -305268*y - 1526330. Calculate n(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 3. Let x(p) = 3*p**2 + 4. Let l(u) = 7*u + 95. Let r be l(-14). Calculate r*x(i) - 4*c(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2312*j + 2307*j - 29 = 0, -5*x - 3*j - 27 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -26. Let s = w + -12. What is the units digit of ((-3)\/s)\/(5\/240)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - -3 - -3) + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003251114771 rounded to 5 decimal places?\nAnswer: 0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(27) + (sqrt(27) + (sqrt(27) - (-3 + sqrt(54)\/sqrt(2) - sqrt(27))))**2.\nAnswer: 39*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13874 + -13854. Solve i*h - 21 = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 6*l**2 - 5*l + 7. Determine k(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 480. Let q(z) = -5*z + 7. Let f(x) = -x + 1. Let w(p) = -14*f(p) + 2*q(p). Give w(r(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/2681025 and 13\/750687?\nAnswer: 18767175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + 1347*q + 15308. Give a(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*h = -763 - 2477 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k**2 + k + 28*k**2 - 2 - 11*k**2 + 7*k**3 as l*k**2 + g*k**3 + d + y*k and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/9, -0.108, 0.1, -439, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43671 is divided by 21832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.18481nm to meters.\nAnswer: 0.00000009018481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 394062242 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 7*i**2 + 5. Let r be p(7). Suppose -4*z - r*o + 3*o + 292 = 0, -2*o = z - 67. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (5 - 1) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8889 + 929. List the prime factors of w.\nAnswer: 2, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3503 and -107\/2486.\nAnswer: 77066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 + 3 = 0. Let l be (-11)\/(-2) - g\/(-2). Let j be (-136)\/(-56) + (-8)\/(-14). Calculate the greatest common divisor of j and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10. Let g(x) = -3*x - 92. Determine g(b) - 3*q(b).\nAnswer: -3*b - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1307*b**2*r**2 + 7*b**2*x - b*r**2*x + 2*b*x + 4*r**2 + 5*r*x + 2 wrt r?\nAnswer: -2614*b**2 - 2*b*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 220\/(-18) + (-28)\/36 + 1. Let j = v + 18. Let z = -0.95 + -0.05. What is the third biggest value in j, -0.5, z, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3067 - 2064. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 129.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2303, -3528, -5557, -8396, -12051, -16528?\n\"Answer: -n**3 - 396*n**2 - 30*n - 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:33 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:57 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 40*j**2\/9 - 262*j\/9 - 100\/3.\nAnswer: 2*(j - 6)*(j + 1)*(j + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(84)\/sqrt(7))\/sqrt(6)) - -6*-2*sqrt(832).\nAnswer: -95*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 6\/7, 9, -1, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002221220020 (base 3) to base 13.\nAnswer: 740c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093274415.\nAnswer: 3, 5, 163, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047729368.\nAnswer: 2, 7, 2672779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/3 + 14065*d**4\/3 - 543972*d**3 = 0?\nAnswer: 0, 117, 13948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*j**2 - 76 - 72*j**2 - 864 - 80*j**2 to r*j + m + o*j**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 89*a**5\/4 - 8*a**4\/3 - a**3\/6 + 83*a. Find the third derivative of w(u) wrt u.\nAnswer: 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -299*g - 35. Let w(j) = -150*j - 21. Let i(h) = -5*w(h) + 3*x(h). Let q(m) = -m**2. Calculate i(q(t)).\nAnswer: 147*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f**3 + f**2 + 2*f + 1. Let t be a(-1). Let k = -617935 - -617940. Suppose 20 = -s - 3*s. Put s, t, k in increasing order.\nAnswer: t, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/30)\/((-27)\/(-45)). Which is the nearest to 0? (a) -3\/4 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 3*d - 15, -55*f + 164 = -d - 169 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Suppose 2*z + 3*z + 4*k - 21 = 0, 9 = z - 4*k. Suppose -c*y - z = y. Sort 5, y, 3.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0195542 rounded to 4 dps?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2 + sqrt(42)\/sqrt(6) + (sqrt(70)*2)\/sqrt(10))*4 + (sqrt(7) + -1 + 0 - sqrt(7)) + sqrt(7) + sqrt(252)*-1 + 3)**2.\nAnswer: 220*sqrt(7) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from yyyfyyyyyyff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1506 + 6523?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -390.688 and 280043418.\nAnswer: 280043027.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106129 is divided by 184353.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.108 times -357\nAnswer: 38.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 442 = 78. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*s**2 - 268*s**2 - 3*s**3 + 233*s**2 - 20*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -186, -192, -200, -210?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74\/3969 or -1?\nAnswer: -74\/3969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u + 4. Let x(o) be the second derivative of -o**4\/3 - 13*o**3\/6 - 15*o**2\/2 - 866*o - 1. Give -26*j(p) - 6*x(p).\nAnswer: -2*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + -6*-6*sqrt(180)*1*-5 + -1)**2.\nAnswer: -2160*sqrt(5) + 5832000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 291\/(-18) + (-2)\/(-12). Let m = i + 28. Calculate the remainder when 46 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1358)\/(-194))\/(2000\/160).\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -119586365 divided by -23917273\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68545395 and 3660.\nAnswer: 274181580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(348\/54)\/(-29)*(-6)\/32.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1914549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -0.1 (b) -79 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2\/15, -4 in descending order.\nAnswer: 46, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -968 (base 15) to base 5.\nAnswer: -31443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 88. What are the prime factors of i(10)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3853 + -209. Let q = -2363 + k. Let v be 10\/(-85) - q\/(-51). Solve 5*n - 2*t = -v, 0 = 4*t + t - 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1352.2 + 1352. Which is the third smallest value? (a) s (b) -0.5 (c) 2\/3 (d) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -15*s. Let f(j) = 4. Let g(a) = a**2 + 3. Let v(z) = 3*f(z) - 4*g(z). Determine v(y(r)).\nAnswer: -900*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 4605*y - 79730.\nAnswer: 5*(y - 17)*(y + 938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.562 - 45.562. Let p be 1 + -1 + 2\/9. Put 1\/2, p, -0.4, t in decreasing order.\nAnswer: t, 1\/2, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(44)*4 + -1.\nAnswer: -40*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 143*t + 33415. Give x(-128).\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 3. Suppose 6 - 8 = -z. Suppose -l + 6 = z. Solve 0 = -5*k - 3*i - 8, -4*k - c*i - l = -0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x + 15. Determine u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -1762, -5959, -14134, -27613, -47722?\nAnswer: -75787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 1. Suppose -5*d + 70 = -20. Suppose -v + 4 + 9 = -3*z, -3*v + 2*z + d = 0. Suppose -3 + 11 = v*y. Calculate w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 2 + (0 - 2 + 0)*(1 - 4 + 2))*(-2*t**5 - 2*t**5 + 8*t**5).\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-13)\/6*(3 + -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 7395.\nAnswer: 36975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:29 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwd when three letters picked without replacement from {w: 2, i: 1, r: 6, l: 1, d: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:44 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c + 7. Let d(v) be the first derivative of -11*v**2\/2 - 11*v - 9. Let o(w) = -5*d(w) - 8*l(w). Let k(y) = -2*y**3. Calculate k(s) - o(s).\nAnswer: -2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puhdzdpz. Give prob of picking 1 p, 1 u, 1 z, and 1 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5583155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/40 - (-1)\/(-12))*(-1326)\/182*-49\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1012 - 103 + 67*w**3 - 87.\nAnswer: 67*w**3 - 1202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3975 and 4804675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.409 rounded to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mthn when four letters picked without replacement from {t: 9, n: 3, h: 2, m: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 7*l + 9. Let v be m(-6). Let s(f) be the third derivative of -f**6\/120 + f**5\/30 + f**4\/24 - f**3\/6 + 210*f**2. Determine s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r - 85. Let c be f(-8). Let x(w) = -42*w + 68. List the prime factors of x(c).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 443.6 - 448.6. Which is the second smallest value? (a) 4\/3 (b) -1\/152 (c) r (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 270 + -161. List the prime factors of r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -639 + 655. Solve g - 15*w + 12*w - 7 = 0, -5*g - y = 2*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.138 or 0.05166?\nAnswer: 0.05166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 125 (b) 0.1 (c) -1\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3685660 and 880?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + 8 + -6 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -2.4, 6, 0.07, -3.9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 36658*d + 0*d**4 + 2*d**4 + 8*d**4 + d**3 - 36659*d - 1 + d**2 as c*d + w*d**3 + f + k*d**2 + y*d**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 20463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3187418893 to the nearest integer?\nAnswer: 56457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1810, 3615, 5408, 7183, 8934, 10655?\nAnswer: 12340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1506 + -1466. Calculate the lowest common multiple of d and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -20. Let l be 9\/o*(-2)\/(-6). Let y(q) = 72*q**3 - 2*q**2 + 2*q - 1. What is the tens digit of y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1213 and -473022.\nAnswer: -473021.8787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 s when three letters picked without replacement from ssqipsssq?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12.1. Let m = 0.6 - 0.5. Which is the third smallest value? (a) i (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6387577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -u + 3*b, -u = -b + 5*b - 46. What is the lowest common multiple of 3 and u?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3*m - 4. Let w be t(3). Let d(i) = -i**3 - 2*i**2 - 5*i + 4. Let a be d(w). Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 5, i: 2}. Give prob of sequence ddi.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 + b*i*j**3 + 4*b*i*j**2 - 27*i*j**3 - 3*i*j**2 wrt b?\nAnswer: -6*b + i*j**3 + 4*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-3*10\/45). Let i be 58\/(-8) - (-3)\/v. Let d(m) = 5*m + 1. Let f(j) = 9*j + 2. Calculate i*d(a) + 4*f(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 24 = -3*c. Suppose -5*o + 60 = -0*o. What is the least common multiple of (c\/5)\/(8\/(-20)) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 5. Let s(a) = -6*a + 4. Let k(b) = -5*j(b) + 6*s(b). Let n(c) = 31*c + 6. Let q(u) = -11*k(u) - 2*n(u). What is the units digit of q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13800 + -9089. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -121, -255, -463, -757, -1149, -1651?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25683 + -25680. Solve -a + w = 0, 29 = 4*p + a + 2*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36)*6)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**5 + 25759*i**2 + 14411*i + 10?\nAnswer: -60*i**3 + 51518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 114. Is (-1237*(-2)\/(-8))\/((-1)\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 12) to base 6\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -994, -2, 339, -5, -0.1 in decreasing order.\nAnswer: 339, -0.1, -2, -5, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 2 = 17*b - c, -2*b - 6*c = -12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0.1 (c) 4\/3 (d) -7.9 (e) -3 (f) 43 (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17317 - 0.02683. Which is the nearest to s? (a) 1\/6 (b) -1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013 + -12310?\nAnswer: -20323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 4*j - 3*j**3 + 2*j**3 to the form r*j + v*j**2 + y*j**3 + i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 107758931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -122*m + 1099. Let v be f(9). Which is smaller: 14\/235 or v?\nAnswer: 14\/235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -1\/11 (c) -0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -15483597?\nAnswer: 15483596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1680, -0.2, -2\/3 in decreasing order.\nAnswer: 0.3, -0.2, -2\/3, -1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475458759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2237614 and -2\/5?\nAnswer: 11188070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 15460 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 15) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3\/27 + 5*s**2\/9 + 4*s\/3 - 311. Factor j(a).\nAnswer: -2*(a - 6)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13947 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*g = -276*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 45 = 7*l - 2*l, 2*p + 5*l = -17. Let t(b) = -p*b**3 - 5*b + 5*b - 5*b. Let n(q) = 2 + 7*q**3 + 9*q - 2. Calculate -3*n(m) - 5*t(m).\nAnswer: -m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25\/2011 - -3847\/14077. Let p(m) = 7*m + 1. Let u be p(-1). Let y = u + 11. What is the second smallest value in w, -1\/3, 1\/8, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from jjojojjioojjj?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 22100?\nAnswer: 22030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from ijhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 54 = -h, -5*f - 10 + 52 = -2*h. Solve c = -5 + f, 0 = 2*u - c + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6190\/(-2600) + (-828)\/(-345)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14712 divided by -16.\nAnswer: -1839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -68, -85, -110, -143, -184, -233?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(10\/(10\/(-7)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f. Let l(k) = 535*k - 3. Calculate l(a(y)).\nAnswer: -2140*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64991681 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by 559.\nAnswer: 642\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let a(l) = b*l + 4 - 6*l + 2*l. Let x be a(2). Solve -3*v = -3*i - 0*v + 24, -x*i = -v - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185648 and 80032?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:06 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-206 - -202) + (-3 - 3) + -28.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 65?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -2521?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282685021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115541301 * 5.\nAnswer: 577706505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65743?\nAnswer: 29, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/18*18\/(-1). Calculate the common denominator of (-14)\/35 - 397\/l and -56\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 3*f**4 - 2*f**4 + (f - f + 2*f**2)*(-1 + 1 + 2*f**2) - f**3 + 17*f**4 + f**3 in the form j*f + m*f**3 + x + o*f**2 + w*f**4 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 + 3*d**2 - d**2. Let x(v) = -23*v + 18*v + 5*v + 10*v. What is a(x(p))?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (121 - ((11 - 0) + (304 - 336)))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.121481 decades?\nAnswer: 0.07121481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(((-2)\/5)\/(5\/(-25))). Suppose 2*b = -3*c - 2*c + 92, 0 = -k*b - 4*c + 90. Solve 40*y - b*y + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 1 + 0*f - f**2 + 1\/3*f**3. What is the second derivative of y(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174 + -176. What is the closest to n in 0, 2, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 483538571 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + -2447b13?\nAnswer: -2447aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 12*a**2 - 8*a**2 - 147*a + 94*a + 5*a**2 to the form c*a**2 + v + b*a and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 11.35864?\nAnswer: 113.5864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**10\/6048 + n**9\/1512 + n**8\/1344 + 11*n**4\/6 - 19*n. Let c(s) be the third derivative of a(s). Factor c(z).\nAnswer: 5*z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s = -33*s - 16. Solve 5*w + 1 = -s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -46. Let g = 75 + v. Let y be 10\/8*(-4)\/(-50). What is the nearest to -1 in 2, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 40 = -3*v + 4*b, -3*v = 2*b - 80. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1480*m**2 + 3*m - 1016. Let c(j) = -3*j**2 + j - 1. Let l(z) = -3*c(z) + q(z). What is the first derivative of l(w) wrt w?\nAnswer: 2978*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*p + 28, 5*z - 6*p + 55 = -p. Let q = z - -34. Calculate the highest common divisor of q and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4082203 rounded to 3 decimal places?\nAnswer: -0.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166 and 492771?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(6) + sqrt(40))*3)\/(sqrt(8) - (sqrt(200) + (sqrt(200) + -3*sqrt(200) + sqrt(200) + sqrt(200) - sqrt(200)) + sqrt(200))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18372?\nAnswer: 2, 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 - 1297*g**3 - 367 - 123 + 74 wrt g.\nAnswer: -3891*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26721.225s to hours.\nAnswer: 7.4225625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*q - 18, -2*q + 16 = -2*m - 20. Let z be ((-8)\/10)\/((1\/1)\/m). Suppose 0 = 3*t - 3*j + z, 2*t - 20 = 2*j - 7*j. Solve t*w = -4*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*y**2 + 15784*d*y + 151499*y**3 - 2*y - 1 wrt y?\nAnswer: -2*d + 908994*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2. Let v(o) = -8*o**3 - 19*o**2 + 39. Let d(q) = q**3 + 3*q**2 - 6. Let a(f) = -39*d(f) - 6*v(f). Determine -a(i) - 3*n(i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b (base 12) in base 9?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, k: 3, f: 4}. What is prob of sequence fk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o + 165 = 0. Let w = o - 3. Let r = 64 + w. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 8. Solve 4*t = 4*x - 2*x - o, 0 = 3*x - 2*t - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51153, 51204, 51255, 51306, 51357, 51408?\n\"Answer: 51*c + 51102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12 - 17*l**2 - 8 - 4. Let m(w) = 2*w**2. Determine t(m(s)).\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2305 (base 6) to base 14\nAnswer: 2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-9)\/(-3)) - -8. Suppose -3*o + 12 = o + 3*u, 3*o + 3*u = x. Suppose -2*n - 3*n = o*i - 180, -4*i + 2*n + 240 = 0. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, 2, 54549, 0.03 in decreasing order.\nAnswer: 54549, 2, 0.4, 0.2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7065 - 1.1065. Let o = 34 + -22. Sort 0.01, 1\/3, o, a.\nAnswer: a, 0.01, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136 - 241 - -129)\/((-45)\/2)?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 594\/15 - 2\/(-5). Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 2. Let o = -56 + 37. Let a = -17 - o. Calculate the remainder when a is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/32*-3*1804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w. Suppose -9*y + 36 = -54. Let a(c) = 2*c - 5 + y - 5. What is a(v(u))?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 5*v**2 - 21 + 2*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + -3*sqrt(84)\/sqrt(4))*5)\/(sqrt(30)\/(sqrt(10) - sqrt(10)*-1*-2 - sqrt(10))).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggcgxcxcxgg. Give prob of picking 2 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(325) + sqrt(325) + sqrt(325) + sqrt(325) + -3 - 1*sqrt(52)\/sqrt(64))*2.\nAnswer: 4 + 79*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276140.0888 + -0.3.\nAnswer: 276139.7888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 15*i**2 + 5*i - 27. Let a(j) = 2*j**2 - j - 6. Let d be a(-3). What is the least common multiple of 10 and c(d)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3736, 7470, 11204, 14938?\nAnswer: 18672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19*132\/(-342)*(-87)\/29\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 6}. What is prob of sequence urr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1684758 minutes in days?\nAnswer: 0.00428366375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7809484 and -9\/4.\nAnswer: 7809484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7930, 19211, 30492, 41779, 53078, 64395, 75736?\n\"Answer: q**3 - 6*q**2 + 11292*q - 3357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = -3*k + 26, 0 = 2*k - 2*q - 16. Let p(h) = -k*h**2 - 5*h + 4*h + h. Let g(w) = 16*w**2 + 3 + 8*w**2 - 27*w**2 - 3. What is g(p(z))?\nAnswer: -192*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15089 divided by -6?\nAnswer: 15089\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 638 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/169687076 and 41\/8.\nAnswer: 339374152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 97*b**2 + 2*b. Does 20 divide r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128.3977 + 643921.3977. Let r = -643893.0122 + n. Let u = 100 + r. Round u to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-2))\/(12*4\/192). Calculate the highest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510732 (base 10) in base 3?\nAnswer: 11201120002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-36))\/(1\/6). Let b = -1 + 0.9. What is the biggest value in b, 5\/4, u?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -128. Is c != 4\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvgvgggggg. Give prob of picking 2 v and 2 g.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(-12)\/40)\/(6\/238). Let b = -52\/5 + g. Sort 5, -3, 4, b.\nAnswer: -3, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207880357 to 5 decimal places.\nAnswer: -0.20788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654057 + 654097 + 4*z - 1308154.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/7, 0, -0.1, 18 in increasing order.\nAnswer: -0.1, 0, 2\/7, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 = 100*f + 591 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -31 + 7. Let d(h) = r*h - h - 3*h + 7*h**2 - h**3 - 3 + 8*h. Calculate d(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164067?\nAnswer: 3, 17, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 756519.6 litres in millilitres?\nAnswer: 756519600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 23*r + 6324 = 0. Let a = r - 223. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 6*j - 6. Let r be u(-4). Suppose 24*t - 21 = 17*t. Suppose 0*i + 5*i - 4*g = 89, r*g = t*i - 53. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39375 times -0.3?\nAnswer: 11812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-94)\/18 + (-2)\/(-9). Let q = 43 - d. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -14. Differentiate -3*r**2 - 3 - r**2 + 2*r**t + 3*r**2 with respect to r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2 = 6*r, 5*r - 20 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*v + 1 - 2*v - 1 + 3*v - 2*v + 0*v + (3 - 3 - v)*(3 + 2 - 3))*(10 - 82 - 101) as l*v + w and give l.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 3) in base 13?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -998, -1783, -2570, -3359, -4150, -4943?\nAnswer: -5738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -628192, -1256419, -1884658, -2512915, -3141196, -3769507, -4397854?\n\"Answer: -m**3 - 628220*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 6*c - 10. Suppose 2*l - 11 - 1 = -2*g, 2*l = 5*g - 16. Let m be o(g). What is the tens digit of 7\/m*(-12 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -148, -138, -116, -76, -12?\n\"Answer: j**3 + 3*j - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*b - b. Let o = b - -7. Solve -2*l + 2*j - 5*j = -11, -12 = -4*l + o*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197 divided by -4.\nAnswer: 197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l - 70. Let g be (-4)\/3*l\/(-4). Let b = g + 2. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 579465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20615315238 + -0.03.\nAnswer: -20615315238.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*n**3*p**3 - 11*n**3*p**2 + 3*n**3*p + 389*n**3 - 6*n**2*p**3 + 8*n*p**3 wrt p?\nAnswer: 96*n**3 - 36*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -24 + 21 + 3 + -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*(j\/(j**(1\/4)*j))\/j)*j)\/j)**(-4\/25)\/(j**(-1\/4)\/j*j)**(10\/13))**(7\/3) assuming j is positive.\nAnswer: j**(-763\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, -250707, -4 in descending order.\nAnswer: 4, 1, -2, -4, -250707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 2875920.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 13*n**2 - 23*n + 7. What is the tens digit of o(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + -5*sqrt(2)*-1.\nAnswer: -2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.741 rounded to the nearest integer?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -75*a + 450. Let z be q(3). Solve z*t = 222*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2095878 to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let t = -45 - -51. Let z(i) = 8*i - 6. Let m(p) = t*h(p) - z(p). Let k(a) = 17*a. Calculate k(m(g)).\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxgx when four letters picked without replacement from {g: 10, x: 3, k: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27592\/2555 + -2\/2555. Let a = 2\/144859771 - -1031836146121\/196429849476. Let h = a + -1\/339. What is the common denominator of u and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1791*d + d**3 + 1027*d - 21*d**3.\nAnswer: -20*d**3 - 764*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -860*i**3 - 1173648*i**5 + 1173653*i**5 - 570*i**2 + 45*i**4 - 330*i**2 = 0.\nAnswer: -18, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/2 - f**3\/3 + f**2 + f - 1. Calculate the remainder when ((0 - 2)\/(-2) - -66) + 38179\/(-38179) is divided by c(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxoiioxxxmriok. Give prob of picking 2 o and 1 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - o = -0*o + 6, -3*r - o = -18. Suppose -2*k = k - r. Solve 4*h - k - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 3 - -5 - 10 - (-1 - 9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 316693242.4 to the nearest one million.\nAnswer: 317000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 413834 and 154 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18444.\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 656124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4346 - 4346. Let g(s) be the third derivative of c + 0*s**3 - 23\/60*s**5 - 7\/6*s**4 + 0*s + 8*s**2. What is the second derivative of g(h) wrt h?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose 0*r = -4*r + 2*h - 30, 3*r = b*h - 25. Sort 5, 4, r in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31591 - -7645029\/242. Calculate the common denominator of 89\/14 and t.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 + -1256\/11. Let o = 6.9 - 7. Which is the nearest to 0? (a) v (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 34*j**2 - 21*j + 15. Let p(v) = 16*v**2 - 10*v + 7. Determine -13*p(s) + 6*w(s).\nAnswer: -4*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + z - 1 + (-2 + 2 + 2)*(4*z - 2*z - z) - 15*z - 126 + 126 as q + h*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2. Let x(n) = -28*n**2 + 3*n + 20. Let a(z) = -28*z**2 + 4*z + 31. Let t(y) = -3*a(y) + 4*x(y). Determine v(t(j)).\nAnswer: 2352*j**4 + 2184*j**2 + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -29*g + 580. What is d(15)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 236*12864\nAnswer: 3035904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -133584*s + 14293496. What is f(107)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-2)\/(-21))\/(-2). Let l = 147 + -149. Let c = 2\/153 - -49\/153. Put p, c, -1, l in descending order.\nAnswer: c, p, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323 by 323.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - 21. Suppose 33 + 11 = 4*z + n*w, -z + 3*w = 6. Let a be (z\/(-2) - -5) + 3. Sort a, -2, -3 in descending order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*3\/99)\/((-4)\/(-15))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-4))\/((-4)\/344).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2558, -2561, -2564, -2567, -2570, -2573?\n\"Answer: -3*p - 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from kzlklbzzzhkzkkzzzkz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 5*z**2 + 7*z**3 + (40 - 41 + 15*z - 3*z)*(7 - 7 - 3*z**2) to the form g*z**2 + k*z**3 + m + x*z and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129124 is divided by 1480.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1184 - -1684. Is f greater than 502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/6 - (-1)\/(-2). Let j be 17\/5 - 2\/5. Suppose 2*i = -j*m + 5, -4*m = -2*i + 16 + f. What is the lowest common multiple of i and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 78, 82, 86, 90?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114124 + 101183.3. What is n rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 53. Calculate the common denominator of 57\/2 and 1\/(m\/(-58))*(-50)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59036 + -17d?\nAnswer: 58c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + -3*3*(5 + sqrt(272))*-2*-4)**2 + 3.\nAnswer: 204480*sqrt(17) + 1536076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 54 = -4*x, -2 = -2*h - 4*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32410133 and -0.5?\nAnswer: -16205066.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6489053.\nAnswer: 17, 419, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39147834*s**6 + 24301772*s**2 wrt s.\nAnswer: -4697740080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 7*w. Let h(a) = -a**2 - 2*a. Let k(l) = -4*d(l) - 14*h(l). Let x(c) = c. What is x(k(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 1.5. What is the second biggest value in 2, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -21012222?\nAnswer: 21012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2303710 and -23.5?\nAnswer: -54137185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -0.5, 105, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. Let g = y + 0.2. Let l be 1\/(-6)*8\/6. Which is the closest to g? (a) -3 (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -81, -172, -297?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23.863278 months?\nAnswer: 0.19886065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -694120, -694123, -694126?\n\"Answer: -3*o - 694117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279602672.\nAnswer: 2, 17, 149, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 118? (a) 11.6 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - (-6 + -1)) + ((-2838)\/(-63))\/11. Let j be -2*(-9)\/8 + -2. Which is the nearest to j? (a) h (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 178*m**2\/9 - 982*m\/9 - 1162\/9.\nAnswer: -2*(m - 83)*(m - 7)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2542 is divided by 286?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4))**(2\/7)*(o**(-1))**(-3) assuming o is positive.\nAnswer: o**(47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047200 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-213 - -217 - (-2 + 0 + 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3920 - -3942. Let i = -11 - -8. Calculate the remainder when i*80\/(-6) - 0 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + 4*sqrt(66))\/sqrt(6) - (3*sqrt(11) + sqrt(11) + sqrt(11) + -5)) + -4)*-5*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t*t\/t**(-4)*t))*t*t)\/(t*t**(-4\/5)))**(26\/9))**(-44))**(-5) assuming t is positive.\nAnswer: t**(50336\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 - 614. Let y = 357 + p. What is the third derivative of 0*q**2 + 141*q**5 + q**2 - y*q**5 wrt q?\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1340*r**5 + 2*r**4 + 19*r**3 - 4678018*r.\nAnswer: -26800*r**3 + 24*r**2 + 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1216*c**3 - 1 - 7237*c + 3*c**2 - 7233*c + 14469*c. Suppose 6 = 4*s + 2. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 1466?\nAnswer: 1466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/5 (b) 17 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*i + 42, 0 = -3*i + 3*j + 66. Let l = i + -6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 15*t**2 + 13*t - 14. Let r be a(-14). Suppose 5*f + 5*w - 195 = r, -f - 3*w - 2*w = -31. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 41, 43, 45, 47, 49?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21201331102 (base 4) to base 11.\nAnswer: 1457090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84.4 - -9.888.\nAnswer: -74.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from {c: 6, z: 3, j: 3, o: 2, v: 6}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + s. Let n(g) = -321 - g + 633 - g**2 - 312. Determine 4*i(m) + 3*n(m).\nAnswer: 5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u - 381. Let b be k(-35). Suppose 3*x + 12 = m + 2, -5*m + 5*x = 0. Put m, 3, b in decreasing order.\nAnswer: b, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minus 1058?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -18 - 31 - (-2 + -1 + -31 + -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18020971?\nAnswer: 18020971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 762317\nAnswer: -381158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1466 + 212. Let s = h + -1681.998. Let o = s + 4. What is o rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/4)\/(819\/4973514) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*d**2 + 54*d**2 + 14*d**2 - 5*d**2 + 3*d**2 - d**2 + 2 + 2*d**2 - 2 + 0*d**2 - d**2 - d**2 + (5*d - 5*d - 2*d)*(2*d + 0 + 0) - 3*d**2 + d**2 + 0*d**2.\nAnswer: 104*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -62 + (2 - 3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {h: 1, f: 2, v: 2, g: 4, k: 1, a: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7410 by 38.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqg. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5894568 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9124 + -4920. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-7 + 0)) + -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473049 is divided by 94605.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-3) + 0 + 2. What is the nearest to z in -2, 3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7)*i*i*i)**37\/(i**(-2\/5))**27)\/((i*((i\/(i**0*i))\/i)\/i)**(-24\/7)\/(i**(1\/2)*i)**42) assuming i is positive.\nAnswer: i**(6718\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2 - 29*p - 120 = 0.\nAnswer: -24, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 9. What is the second derivative of 5 + c - 19*j - 6 + 16*j**3 wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3366972 is divided by 480996.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-220)\/(-99))\/20*36. Let y = -26 + 16. Let d be (8\/y)\/(4\/(-140)). What is the greatest common divisor of d and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*m - 7 = -m, 0 = -5*a + 4*m + 21. Let b(s) = 61*s - 12. Is b(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 206, 95, -16?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/18? (a) -0.4 (b) 0.05 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12487413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2743*g - 5362*g - 1199*g to the form y*g + n and give y.\nAnswer: -3818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1414880, -1414848, -1414816?\n\"Answer: 32*j - 1414912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-21)\/w)\/w**(-2))\/((w\/w**(-3\/4))\/w**(-2\/23)) assuming w is positive.\nAnswer: w**(-2009\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(4\/31))**(1\/6)*(a\/a**(-2\/7))\/(a*a**(-2\/5)*a*a)*a**6*a*a**(-1) assuming a is positive.\nAnswer: a**(15287\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75128 + -75124. Let c(f) = 2*f**3 + 9*f**2 - 3*f - 2. Let k(l) = -5*l**3 - 26*l**2 + 10*l + 5. Let m(g) = 8*c(g) + 3*k(g). Determine m(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/56 - ((-20)\/(-14))\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*j**2*m**2 - 84539*c**2*j**2 + 2084414*c**2*j*m**3 + 18*c*j**3*m**3 - c*j**3*m**2 + 54*c*j*m**2 wrt m.\nAnswer: 12506484*c**2*j + 108*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 17*x - 5. Let a be w(8). Let o = 215 + a. Calculate the remainder when 125 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/42 + 30\/7. Let u = 16 + -8. Find the first derivative of -2*g**r + 2 + 8*g - u*g wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, -33069, 125 in decreasing order.\nAnswer: 125, 0.4, -4, -33069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252472*r + 4*r**2 - 252472*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*w - 70 = 1162*w - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174152 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -20, -42, -72, -110?\n\"Answer: -4*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/(-7 + 6). Let q be (1\/(-4))\/((-15)\/(-20)). Sort q, r, 5 in decreasing order.\nAnswer: 5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3193*c**4 + 10995*c wrt c.\nAnswer: -38316*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 19*k**3\/2 - 21*k**2\/2 - 3*k - 1. What is the tens digit of f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1571801 by 114.\nAnswer: -1571801\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 1251 = -201. Let r = m + -157. Calculate the greatest common divisor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 19*y + 34. Suppose 3*d - 45 = -3*z, -33*z - 72 = -37*z + 2*d. Give i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 21. Let q be v(-3). Let y be q + (8 + 0 - 0). Solve j = 6*j - 3*g - 2, 4*j - y*g = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 253 - -7313?\nAnswer: 7566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-278)\/8 - 4 - 3\/12. Let t = x + 60. Calculate the greatest common factor of 168 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q. Let a = -360 - -375. Let t(h) = 2*h + 24 - 39 + a. Determine l(t(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 20 = -5*a, 0 = 2*u - 0 + 2. What is the tens digit of 76\/(-8)*(a - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let o be u(-8). Let b(f) = 6*f + 2*f - f. Let i(k) = 3*k. Give o*i(r) + 4*b(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, w: 3, b: 2, g: 7, s: 1}. Give prob of picking 2 g and 1 w.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 545 and 55263?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5432 + -2330. Suppose 18*x + p = 942. Sort 5, x, 1 in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (1 - 6\/9) + 2152\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -42\/5. Let m = 176 - 176.1. What is the closest to 2\/7 in m, i, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -1 + (-548)\/(-2). Let n = k + -173. Suppose 16 = w - n. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 8. Let a be b(5). Let d(s) = -s**2 + 17*s + 15. Let n be d(a). Suppose 3*m - 51 = -2*v - v, 4*m + 3*v - 66 = 0. Do m and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 1016*z**2 - 21776*z - 39456 = 0. Calculate z.\nAnswer: -18, -2, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053815 is divided by 415?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1034 and -1\/282?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.2454458 rounded to 1 decimal place?\nAnswer: -75.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.193 * -16207.\nAnswer: -3127.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193\/8 - 171\/88. Let l = k + -22. Sort l, 1, -2\/3 in descending order.\nAnswer: 1, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 45, 46, 47?\n\"Answer: w + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 4*m**2 + 3*m)*(m**2 + 0*m**2 + m**2 + (0*m - 2*m + 0*m)*(-4 + 4 + 9*m)) in the form z*m**2 + h*m**4 + v*m**3 + k*m + r and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 less than -1141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 8:51 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -203. Suppose -187 = -d + 2*a, g*d - 181 - 373 = -a. List the prime factors of d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 - 84 - -76 - -44\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*w + 21*w + 1634*w - 1022*w + 2158*w + 1117*w.\nAnswer: 4140*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -40*g**2 + 9*g + 18. Let l(a) = 20*a**2 - 5*a - 8. Give -3*d(q) - 5*l(q).\nAnswer: 20*q**2 - 2*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 5*l - 3*l)*(5*l - 2*l + l) - 26*l**2 - 7*l**2 - 10*l**2 + (5 - 5 - 1)*(3*l**2 - 2*l**2 + l**2) to the form x*l + q*l**2 + k and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from wwgngwwgnwwwwga?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2367 + -2362. What is the biggest value in 245, v, -4?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -896 from -101468271.\nAnswer: -101467375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2811270 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34134838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 11 = 5*p + m, 2*m = -2*p + 14. Solve -p*y = 8, 3*h + y = -3*y - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 12*f**2 - f + 16. Suppose u = 5*u - 48. Let j be p(u). Let x(y) = 2*y**2 - 8*y + 6. Let i be x(j). Solve -3*r = -i*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.11559183 and -209326?\nAnswer: 209326.11559183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372 is divided by 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498235 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -7972, -4, -5 in descending order.\nAnswer: 5, -3, -4, -5, -7972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1518691 less than -17546?\nAnswer: -17546.1518691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005632732 rounded to seven decimal places?\nAnswer: -0.0000563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 640, 755, 866, 973, 1076, 1175, 1270?\n\"Answer: -2*f**2 + 121*f + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74171 + 57?\nAnswer: 74238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 212*w + 65*w - 226*w. Let a(j) = 19*j**2. Give a(n(i)).\nAnswer: 49419*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -679*d**2 - 8*d + 5. Let z(h) = -1358*h**2 - 17*h + 11. Let v(b) = -13*w(b) + 6*z(b). What are the prime factors of v(-1)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236178?\nAnswer: 2, 3, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 90*1\/(-2520)*4\/7\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -3*x, -5*x + 3 = 5*z - 2. Suppose 8 = -2*k - 2. What is the units digit of ((-24)\/(-15))\/(x\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006405951 rounded to 6 decimal places?\nAnswer: 0.000641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -0.1. Let q = 0.11 - -2.89. What is the second smallest value in q, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249975053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 + 5*a**2\/2 - 6*a + 144. Factor o(g).\nAnswer: -(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75, -70, -65?\n\"Answer: 5*h - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*u**3 + 277*u**2.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 56, 99, 142, 185, 228?\n\"Answer: 43*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -52*d + 354. Let v be q(32). Let u = v + 3331. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2397426?\nAnswer: 2, 3, 399571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 178*x**5\/5 + 537*x**4\/5 + 9*x**3\/5 = 0?\nAnswer: -3, -3\/178, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -48 (c) 16318 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734362097 is divided by 759?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 3. Let u(v) = -v**3 - 173*v + 27. Give -9*j(n) + u(n).\nAnswer: -n**3 - 182*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(153)*4)**2 - (0 + (sqrt(17) - (sqrt(17) - (sqrt(17)*3 + 4)))**2))*-4.\nAnswer: -351836 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/12 - i**3\/3 + 3*i**2\/2 - 5*i. Let v be f(3). Suppose v - 3 = h. Solve -4*n = -12, 0 = m - 2*n - h*n + 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 21*k = -26*k + 2862. Calculate the greatest common divisor of k and 5353.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, b: 1, a: 1, g: 5, u: 2}. What is prob of picking 1 a and 2 u?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w + 288. What is i(-29)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6350, 12729, 19134, 25565?\nAnswer: 32022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8b9036 (base 16) to base 11\nAnswer: 518792a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -16.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 4*z**2 + z. Let f be 8*3*3\/(-18). Let g = -30 + 25. Let n(w) = -4*w**3 - 5*w**2 - w - 1. What is f*n(d) + g*m(d)?\nAnswer: d**3 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -26. Let k = -12.465 - 0.135. Let d = q + k. What is d rounded to 0 decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/(-7) - 710\/(-2485). Which is the closest to -0.6? (a) 4\/7 (b) 2 (c) -3\/2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 1. Let p be j(-1). Let d be (-2)\/3 - (-24)\/9. Suppose 0*k - 2 = -d*k. What is the greatest common factor of p and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - 10) + (-48)\/((-1920)\/200)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101102 - 21002012?\nAnswer: -21110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 + 6*a - 2. Suppose 19 = h - 3*j, 2*h + 4*j = 3*j + 3. What is the remainder when f(h) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 854 = -524 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6313, 11443, 19989, 31951, 47329, 66123, 88333?\nAnswer: 113959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2\/2 - 20*g + 366. Calculate m(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z - 3*z)*(-16*z**2 + 3*z**2 + 4*z**2)*(4 - 2 - 4) + (-15*z - 22*z + 30*z)*(2*z - 2*z + 2*z**2).\nAnswer: -50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*b + 85. Let g(h) = -h**2 + 154*h - 1454. What is the lowest common multiple of g(143) and b?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306373991 + -541353991. Round o to the nearest one million.\nAnswer: -235000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 - 1 - (-33 + -2 + 30 + 2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, o: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2, 3*u = -u - 5*f + 70. Suppose u = 2*j - j. Let o be 50\/15*24\/j. What is the greatest common factor of 12 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 - 111. Solve w*q + 24 = -2*c - 0*q, -c = -3*q - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a**4 + 2*a**4 + (-a**3 + 1 - 1)*(2*a + a - 4*a) + 3*a**3 - 3*a**3 - 30129*a**4 + 24260*a**4 + 19218*a**4.\nAnswer: 13352*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*l - 22*l**2 + 71*l + (0*l + 0*l - l**2)*(-2 + 100 + 80 + 39) as b + x*l + g*l**2 and give g.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 398*c + 1937. Give o(194).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 4.01. Let d = 3.9999858 + p. What is d rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 861487 and 234951?\nAnswer: 2584461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 35. Determine c(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 2*p + 5*p + 0*p - 2*p**3 + 2. Let i be r(3). Let g be (i\/(-4))\/((-1)\/(-4)). Solve 7*w + g = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/14*(110 - 103)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - 2*p - 6. Let f be q(-5). Solve -14 = -f*c + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 42.274?\nAnswer: 42.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 413178697 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (118\/5)\/(2\/5). Let o = r - 533\/9. Let d = -0.1 + 0.1. What is the nearest to o in -3, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1803 - -1821. Calculate the remainder when 1096 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, and 1 j when three letters picked without replacement from {e: 1, l: 3, k: 1, j: 4, m: 2, p: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3068 - -3064. What is the closest to -4 in 5, b, -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 99949869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 165447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -58. Let a(o) = -11*o - 11. What is the remainder when a(-5) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7090 - 6890. What is the highest common factor of v and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/87? (a) 0.09 (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18384123 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 3 - 4*l**4 - 87*l**2 - l - 11*l**3 + 78*l**2.\nAnswer: -(l + 1)**3*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + -3.41. Let y = -5.5 - i. Let p = 0.02 + -4.02. Which is the second smallest value? (a) -2\/13 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 54*o - 365. Let d(n) = n**3 + 9*n**2 - n - 2. Let p be d(-9). What are the prime factors of q(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23973302.\nAnswer: 2, 173, 193, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**3 + 775*t**2 - 2*t - 1272 wrt t?\nAnswer: 18*t + 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225858817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 125969 divided by 3\nAnswer: 125969\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Let a be 6\/12*-2 - -4*2. Suppose a*z - 51 = -9. Calculate the remainder when z is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k\/(k\/((k\/(k**(2\/11)*k))\/k)*k))\/k))\/k))**(3\/4)*k\/(k*k**16)*k*(k\/k**(-1\/39))\/k assuming k is positive.\nAnswer: k**(-7126\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*h + 114 = 0, -3*h + 33 = -y + 3. Let k = -28 - y. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-3 + 3 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-17 - -5) + -31?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*n**4 + 10*n**3 - 763?\nAnswer: -44*n**3 + 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**3\/3 - j**2\/2 - j + 1. Let i(r) be the second derivative of -r**3\/6 - r**2\/2 + 832*r - 10. Calculate -2*a(b) + 2*i(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(32) + sqrt(2) + 4.\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16876688 divided by 77416?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2471 and -3?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 9 (c) 10 (d) 2\/9 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(833) + sqrt(833)*1 - sqrt(833)) + sqrt(833) - -2*sqrt(833)*-1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + i - 1. What is d(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2197646309.\nAnswer: 12409, 177101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let m be 4*3\/(1 - 4). Let c be l(m). Solve -c*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 3\/10, -2\/11, 4\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-14)\/2)\/1. Suppose 2*c + 2 = 2*r, -3*r + 9 = 5*c - v. Suppose -5*l + d + 13 = 0, -2*d - 7 = -2*l + 3. Solve -c*b = -2 - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 432. Give i(-29).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = t - 3, -s + 36471 - 36469 = -4*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-14 + 5 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402566150.\nAnswer: 2, 3, 5, 29, 322429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**2*d**2 + 2*a**2*d - 3*a**2 - 5*a*d**2 - d**2 - 35*d + 3 wrt d?\nAnswer: -14*a**2 - 10*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42362 is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79785 is divided by 251.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 5044 - 70164 = 0. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p + 17. Let z(o) = 4*o - 6. Let b(y) = -3*g(y) - 8*z(y). Let i(x) = -x + 2. Let u = 61 + -500. Let m = u - -434. What is m*i(v) - 3*b(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*m**3*p**2*s**3 - 88*m**3*p*s**3 - 63*m**2*p*s**3 - m**2 + 6*m*p**2*s**3 wrt p.\nAnswer: 708*m**3*s**3 + 12*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*u + 114*u - 5 + 753*u**2 - 262*u wrt u?\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000482838981 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -10.468.\nAnswer: -2.0936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -134 and -0.4.\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 51 = 453. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478 + 693. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16246, -131390, -443908, -1052482, -2055794, -3552526, -5641360, -8420978?\nAnswer: -11990062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-4)\/(-10))\/((-37200)\/(-7750))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315505\/4 or 78876?\nAnswer: 78876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7118390 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 705940883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let y(a) = -a**3 + a**2 + a. Let f(o) = 2*o**3 + 4*o**2 - 4*o. Let t(z) = -f(z) - 4*y(z). Calculate 8*p(j) - t(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 6*o = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25319 is divided by 232?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(10\/(-125)). Suppose z*f = 4*q + 20, -2*q + 5 = -3*q - 4*f. Let b be q*(-786)\/9*30. Round b to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((180\/(-35))\/(-3))\/(-10))\/((-16)\/(-40)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + 12 = 37*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 + 2. Let j be x(6). Suppose -j*z = -33 + 7. Let n = -9 + z. Solve -6 - 2 = n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 105*b - 24*b - 31*b - 4 - 36*b. Let m(o) = -35*o. What is m(a(k))?\nAnswer: -490*k + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-60) - (-97)\/(-5). Let h = r - -37. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807521660 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -12. Let c(k) = -3*k**2 + 2*k**2 - 6 + 6*k**2. Let m(a) = a**3 - a + 1. Let t be m(-2). Let l(u) = -6*u**2 + 7. Determine t*c(b) + w*l(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 12:44 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (1 - -1) + 3. Let s = -296 - -295. Is o equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32109966 to the power of 1\/2, to the nearest integer?\nAnswer: 5667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**3 + 2*v**2 - v + 4. Let n(w) = -w**3 - w**2 - 1. Determine -4*n(i) - x(i).\nAnswer: -4*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 2. Let s(d) = -d**2 + 6*d - 5. Let o be s(4). Let a(c) = c**2 - 2*c + 13. Calculate the lowest common multiple of a(o) and u(4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 8\/3 (c) 1\/7 (d) 2\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f**3 + 0*f**3 - 2*f - 2*f**2 + f**3 - 2. Suppose 2*j = d - 2, j + 13 - 3 = 2*d. Let o be 1 + -5 + 1 + d. What is n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 2*m**3 + 14*m**3 + (m**2 - 4 + 4)*(-m + 2*m - 2*m) - 346*m**3 - 407*m**3 + 108*m**3 to s + i*m**2 + k*m + h*m**3 and give h.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43554 divided by -264?\nAnswer: -7259\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0003, 1\/12, 5\/8, 0.09, 0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/120 + w**5\/10 - w**4\/4 + 79*w**2. Let p(b) = -b**2 - 9*b - 3. Suppose 2*u - 32 = 6*u. Let n be p(u). What is x(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 7:03 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2084 - -2092. Solve i = 3*s - 5*s - 3*v, -s = -4*v - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8328.3 + -8328. Which is the biggest value? (a) l (b) 2 (c) -42 (d) 1\/3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451d (base 14) in base 12?\nAnswer: 6b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i + 40. Let m be i\/(-100)*5*1. Let q = -913 + 913. Which is the nearest to m? (a) 4 (b) q (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -962b4 + 218?\nAnswer: -96099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - -1d9?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 5*g = 15*s + 25, -g = -4*s - 37. Which is the nearest to 0? (a) -4 (b) s (c) 1\/5 (d) -26\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0 + 0)*(4*n**3 - 4*n**3 - 2*n**3) + 0*n + 4*n**4 - n**4 - 4*n.\nAnswer: 5*n**4 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**0*a))**(1\/16)\/((a\/(a*a*a*(a\/(a\/(a*a\/(a*(a**(-7)*a)\/a))))\/a))\/a**3))\/((a\/(a\/(a**(1\/3)*a*a)))**41)**(-6\/19) assuming a is positive.\nAnswer: a**(12813\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89845021 a multiple of 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 24*n - 7. Let m be k(2). Let g = -39 + m. Solve 0 = -g*l - 0*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 32. Let b be ((-8)\/6)\/((-2)\/j). Solve 0 = b*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:35 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + 4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d. Let c(a) = 2*a. Suppose 3*n + n + 3*s = -10, -4*s = n - 4. Let l(z) = n*c(z) - 3*i(z). Let j(y) = y. Determine j(l(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -11001100?\nAnswer: 10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28692 divided by -72.\nAnswer: -797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, j: 1, g: 4, l: 1, k: 4, e: 4}. What is prob of sequence zz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 114 = -1830. What is the remainder when b is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*f = -0*a - 122, -f - 170 = -3*a. Let x be 6\/9 + 30\/9. Suppose -4*m + a = -x. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5429486243\/1351 + 4018865. Let y = g - -2\/193. Find s such that 1\/7*s**4 + 0 - y*s**2 + 0*s + 1\/7*s**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - x**4 + x**4 + (0*x**3 + 6*x**3 - x**3)*(-14*x - 8*x + 12*x).\nAnswer: -49*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 23 - 16 = -5*a + 28, -2*b + 3*a - 138 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:22 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -179. Let r = 120 - s. Let f = 79 - r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*v + 61*v + 69. Suppose 7*x - 629 = -v. Let d = x + -29. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*x + 105*x**2 - 109*x - 17*x**2 in the form t*x + a*x**2 + l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**2 - 12*h + 52. Let o be v(11). What is the hundreds digit of (o - -1)*114\/152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:59 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzznzpnqfqfqqz. Give prob of picking 1 z, 2 p, and 1 n.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 106552 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 9*g**2 - 19*g - 17. Let i be d(-7). Solve z + 17 = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 + 166. Suppose 27 - 7 = 5*v + t, -t + 8 = v. Suppose 0 = v*w - 5*l - 68 - 12, -96 = -5*w - l. Calculate the smallest common multiple of w and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*(-1)\/(2*20\/(-40)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/45 and ((-127)\/(-2))\/(-5 + 3 - -5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/17, -7\/18, -3, 3?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 12) to base 15.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 283.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from fycmyocbooom?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -6 + 10)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 13 = a + 3*k, 2*k + 194 = 4*a. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13731145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 8:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39437 + 13*u**2 + 80*u**3 - 85*u**3 + 39437.\nAnswer: -5*u**3 + 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*u - 18 = 50, d - 20 = -2*u. Let s(a) = -1 + 13 - 7 - a - d. Give s(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)\/(t*t**(-1\/17)) assuming t is positive.\nAnswer: t**(-114\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22689 * -2.4\nAnswer: -54453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 12:29 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/28 and 14\/(-8)*9\/4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-2)\/12). Suppose -2*m - 31 = -3*g, f*g + 27 - 46 = 5*m. Solve g*j + 4 = 12*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 3*v + 3. Let a be f(2). Let r = 1157 - 1154. Let m = r + 6. Do a and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31918120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 2 + -2 + 2. Suppose -v - 2 = -o. Let i = -2 + 1.8. Which is the biggest value? (a) i (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 396334*p**4 + 11*p**3 - p**2 - 28780849 wrt p?\nAnswer: 9512016*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.192542 + -0.163542. Let a = f + -70. Round a to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6230?\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 3?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*z - 70 + 284, -4*c + 171 = -3*z. Let q = 51 - c. Let p be ((-12)\/q)\/((-2)\/63). Calculate the greatest common divisor of 63 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 14*w - 28. Let h be d(14). Let b be -9*h\/96 - 3. Let c = b - -1\/24. What is the nearest to 1 in -2\/3, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l + 3. Suppose l*o + 2 = 8. Calculate the least common multiple of -4 + 7 - 468\/(-12) and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271504915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmbwwwmm.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. What is the second smallest value in -1, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 21 + 20 - 3 - -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 65, -2\/11, 1, -0.1, 173?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 2 = -2. Suppose -21*k + 24*k - 12 = t. Solve -k = p - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t**2 - 65*t + 1317. Let p(j) = -13*j**2 - 50*j + 988. Determine -10*m(b) + 13*p(b).\nAnswer: b**2 - 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {y: 3, w: 1, s: 1, m: 1, v: 14}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (-24 + 60 + -48)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-1\/23)*s*s*s)\/s)\/(s*(s\/(s*(s\/s**(7\/2)*s)\/s)*s)\/s))\/(s**7)**(-7) assuming s is positive.\nAnswer: s**(2275\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = s - 5*s - 3*t, -14 = 3*s - 4*t. Let p be ((-8)\/s)\/((-4)\/(-90)). Let g be (-1)\/p + (-4)\/(-20). What is the closest to 1 in 0.1, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.8901 weeks to seconds.\nAnswer: 50736732.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 880610 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0. Suppose -2*t = -2*p + 34, -2 - 38 = -5*p - 4*t. Which is the third smallest value? (a) p (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - l**2)*(-9 + 13 - 6) - 2*l**2 - l**2 + 2*l**2 + (-3 + 5 - 3)*(4*l**2 - 5*l**2 - l**2).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5768 is divided by 1908?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 595824, 39, 2 in ascending order.\nAnswer: 2, 39, 595824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1433, -1394, -1351, -1304?\n\"Answer: 2*g**2 + 33*g - 1468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1286676\/4535 or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5061*p**3 - 3*p**2 + 3*p - 1. List the prime factors of c(1).\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**3 - 2*j**2 + 1. Let s be (-4)\/(-6)*(-3)\/2. Let v be d(s). Suppose 2*c + 4*a = 22, -a = -2*c - 2 - 1. Sort v, 0, c.\nAnswer: 0, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3184173 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-4*w + 5*w + w) + 2*w + 0*w - 3*w + 26013*w - 12899*w - 13803*w + (0 - 2*w + 0)*(4 - 3 - 3).\nAnswer: -688*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 32 - 4. Suppose -4*c + 321 = 3*l - 440, 5*c - p*l = 990. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than 0.144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/4 + 21*p**3\/2 - 39*p**2\/4.\nAnswer: -3*p**2*(p - 13)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 + 67 - (0 - -6)) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 2*x + 4. Let u be t(0). Solve -u*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 13*x**2 + 113*x - 62. What is the first derivative of p(d) wrt d?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c. Which is bigger: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 136*u - 19*u - 2026 - 1414 = 0 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(16\/(-10))\/(200\/(-750)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581139 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241120 and 24640?\nAnswer: 3375680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 13246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 848 + 6*m - 845 - 2*m**2. Let w(c) = -5*c**2 - 14*c - 7. Let o(n) = 6*w(n) + 14*y(n). Let a(k) = -18*k - 2. Calculate o(a(i)).\nAnswer: -648*i**2 - 144*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 900503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:02 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 42060 = -3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73164 and 9396.\nAnswer: 57287412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.006 - 131.899.\nAnswer: -131.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:35 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - s - 1 = 0, -w = s + 1. Suppose -t + 2*t - 5 = 0. Suppose t*v - 15 = -w. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2586 and 188347.\nAnswer: 1130082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 0.01\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.021 + -22.921. Let m = -57 - -9. Put 1\/4, m, u in increasing order.\nAnswer: m, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119993242?\nAnswer: 2, 17, 29, 121697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -31, -7\/2, -1.179 in decreasing order.\nAnswer: 1, -1.179, -2, -7\/2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-1170)*(-6)\/8*5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*c - 40 = -205 - 320 - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69906 is divided by 366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35451101 a multiple of 1223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 23*j**2 - 19*j + 41. Is u(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2700685.\nAnswer: 5, 13, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 11 = -4*z, 3*p = 3*z + z - 13. Let m be (-279)\/(-12) - p\/(-12). Solve -3*w = -3, 4*w - m = -4*q + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(33\/66)*(-18)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-132)\/154)\/(8\/(-14)) - (-18)\/(-20). Let i - 1\/5*y**3 - 7\/5*y + y**2 = 0. Calculate y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -2\/17, -41.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.27, -370787 in decreasing order.\nAnswer: 0.06, -0.27, -370787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 13, -4, -25?\n\"Answer: -2*j**2 - 7*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121696525 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*v**5 - 28*v**4 - 19*v + 29.\nAnswer: 1560*v**3 - 336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107037\/44174)\/(105\/91).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 1. Calculate w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -66, -137, -246, -405?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -65*s + 639. Let w be d(10). Let u(h) = 3*h - 2. Let f(b) = 5*b - 5. What is w*u(v) + 6*f(v)?\nAnswer: -3*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((374862\/12)\/1)\/((-2)\/(-4)). Let w = 33277 - h. What is w rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-28) - 4\/(-14). Suppose 0 = -d*w - 2*w + 6*w. Sort w, -1, -4 in descending order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 891415, 891416, 891421, 891430, 891443, 891460, 891481?\n\"Answer: 2*q**2 - 5*q + 891418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 28*x = -7. Let r(p) be the third derivative of p**5\/20 - p**4\/24 + p**2. What is r(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1895*f**4\/12 + f**3\/3 + 353*f**2\/2 - 496*f. What is the second derivative of y(s) wrt s?\nAnswer: 3790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:30 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3\/4, -2\/9, -1 in descending order.\nAnswer: 3\/4, -2\/9, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*h**2*j**2 + 522*c**3*h - 69369*c**3*j**3 - c**2 - 4*c*h**2 - 4*h*j wrt j.\nAnswer: 4*c**3*h**2 - 416214*c**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 8*v + 3. Let p be y(-7). Let h be 2\/5 + (-4)\/p. What is the third derivative of -2*c**5 + h*c**2 - 3*c**2 + 5*c**2 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*u - 10, 3*u + 3 = 90*r - 87*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -1005, 162 in decreasing order.\nAnswer: 162, 1, 0, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 453083 divided by 58?\nAnswer: 453083\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -3*(3 - 2). Calculate the common denominator of 93\/252 - a\/7 and ((-6)\/40)\/((-6)\/255).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 598 = 2*n - 192, -4*f - 604 = 3*n. Sort n, 23, 2 in ascending order.\nAnswer: n, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29433.\nAnswer: 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -357160000 to the nearest 1000000.\nAnswer: -357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 - (-9 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 29 = -g + 4*t, -2*g = -t - 94. Let a = -2 + g. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 12. Let y(s) = 2*s - 12. Let m(k) = 3*o(k) + 2*y(k). Is m(-9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*t - 58 = 3*p, 0*p + 15*t + 166 = -p - 0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5121.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1815*q - 20949 - 27835 = 11111 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 194*b**2 - 1664*b + 358. Let t(v) = -v**2 + 47. What is the remainder when c(-185) is divided by t(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 808, 1620, 2456, 3322, 4224, 5168, 6160?\nAnswer: 7206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 21. Let u be 24\/(-20) - (-8)\/40. What is the tens digit of (u - (-3)\/p)*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/6 - 2125*17\/(-51) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c + 27. Calculate the greatest common factor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (15 + (-37 - -6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55572.72 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 26. Let w = a - 4. Suppose -w*h - 5*y - 20020 = 0, -5*h + h + 4*y - 19984 = 0. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 3)*(0*a + a + a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.114 (b) 4 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = j - 2443, 3*s - 9*s + 4*j + 2916 = 0. Calculate the remainder when s is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -0.3. Let a = 812 + -4061\/5. Let f be 27\/(-21) + 1 + 0. What is the nearest to f in -0.1, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 2*f + 11*f**3 - 34*f**2 - 11*f**2 + f**4 + 43*f**2 - 2*f - 1 to s*f**4 + i*f**2 + j + k*f**3 + n*f and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*n = 136*n - 11155. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51406 - 28144. List the prime factors of v.\nAnswer: 2, 3, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.284745 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*n**2 - 1 + (-3 + 2 + 3)*(3*n - 3*n**2 - 3*n) + (2*n - 3*n - 2*n)*(-13 + 13 + 3*n))*(-19*n - 11*n + 35*n).\nAnswer: -90*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r - 10. Suppose -3*w - 16 = 2*h, r = -3*h - 2. Let n(d) = -d**3 - 2*d**2 + 7*d + 6. What is the lowest common multiple of n(w) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = q. Suppose -12 - 3 = -q*x. Suppose -l = -n + x - 0, -4*n + l = -15. What is the least common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a factor of 2760912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 18.\nAnswer: -15, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**5 + 1 - 6*l**5 + 5*l - 4*l**5 + 43*l**4 + 16*l**5 wrt l.\nAnswer: -20*l**3 + 516*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 - 25*l**3 + 22*l**2 + 7*l.\nAnswer: -l*(l - 1)*(l + 7)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 21. Let s(p) = 13*p**2. Calculate s(i(w)).\nAnswer: 52*w**2 + 1092*w + 5733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479180?\nAnswer: 2, 5, 13, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let k(z) = -173*z**2. What is f(k(v))?\nAnswer: -346*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d - 99. Let y be n(8). Suppose -2*h - 4*q + 24 = 0, 6 + 7 = -h + 3*q. Solve 0 = y*c - 0*i + h*i + 2, 5*i = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.006*437.\nAnswer: -2.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = -6*h - 112 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/5 - (2 - -785). What are the prime factors of 6\/8 - n\/20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6073.06 minutes to seconds.\nAnswer: 364383.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmdedma. What is prob of picking 2 d, 1 a, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmmmmmmdmmd. Give prob of picking 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21*b - 313. Let j be f(15). Solve -5*u = m - 4 - 3, 0 = j*m - u + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140810.999896877 - 140811. Round n to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)\/r**(3\/5)*r*r*r**(4\/5)*r**18 assuming r is positive.\nAnswer: r**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = 22*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000378992352 rounded to 7 decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2991 = 4*k + 5*w, -w - 3729 = -5*k - 4*w. Let d = 1255 - k. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70514594*d + 115531043 wrt d.\nAnswer: 70514594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((108\/42)\/6)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39593 is divided by 682.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*2*sqrt(187) - (-3*2*sqrt(187) + sqrt(187)))\/((-4*1*sqrt(77) - sqrt(77))\/sqrt(7))*6.\nAnswer: 324*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - z - 16. Calculate p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 115. Let t(h) = -2*h**2. Give t(m(a)).\nAnswer: -8*a**2 - 920*a - 26450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = z + 2*c, z = 2*c + 10. Let i be -4*7\/(7\/(-6)). Suppose -4*d - i = -3*n, n + z*d - 8 = 2*d. Solve k = v - 3, 3*k - 2 = -n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.13 - -0.13. Sort 0.4, -3\/4, c in increasing order.\nAnswer: c, -3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16079 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s + 1. Let l be n(-1). Let x = l - 9. Let q(d) = d**3 - 15*d**2 + 2*d - 26. Calculate the lowest common multiple of x and q(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.89 - -0.11. Let s = -7 + y. Let l = -6874 + 6878. Which is the biggest value? (a) s (b) 2\/5 (c) l (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 o, and 1 f when four letters picked without replacement from {u: 11, o: 1, f: 5}.\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 20111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*94\/47?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 15 = -17*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:10 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -62, -84, -114, -152, -198, -252?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1)*2\/9. Is 84 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3116 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/9)))**(-15)*(o\/o**(-23\/5)*o)\/o**(3\/22) assuming o is positive.\nAnswer: o**(1033\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 1. Let z(w) = -10*w - 29. Let u(p) = 6*t(p) + z(p). Give u(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-15) + 8 + -13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u*(u\/(u*u*u**(-4)*u))\/u)\/u)*u**(-1\/33)*u assuming u is positive.\nAnswer: u**(32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70835188 - 361*d - 70835190 + 360*d.\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) + (-17)\/(-9). Let l = i + 4\/9. Let s = -0.5 - -0.7. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-734 + 72*s**2 + 364 + 373)*(-s + 2*s**2 + s) to l*s**4 + y*s + i + g*s**2 + m*s**3 and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199513476 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 42\/4)*8. Let p be z + -7 + 1\/(-2)*-2. Calculate the greatest common divisor of p and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24324203330 + 104?\nAnswer: -24324203221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -17*i + 33. Suppose -d = d + 5*z + 25, 2*d + 15 = -i*z. Solve 2*l + 6*l - 8 = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7741, 30992, 69801, 124216, 194285, 280056, 381577, 498896?\nAnswer: 632061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -285, -408, -509, -582?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from ocoolncoco?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002\/(-4509)*(-20187)\/2 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 84432 and -4?\nAnswer: 84436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (24 + -8 + -16 + -19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 160, -2 in ascending order.\nAnswer: -2, -1, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let f(u) = -u - 29. Let v(w) = 2*w + 36. Let k(o) = -6*f(o) - 5*v(o). Give 5*k(z) + 30*m(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.02 (c) -0.0596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1 - -1) + -4 + (-19 - -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 33448*v + 1. What is y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*r**4 + 332*r**3 - 89*r - 2465186 with respect to r.\nAnswer: -44*r**3 + 996*r**2 - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95.2 + 95.4. Let q = 9.8 + -9.5. Which is the closest to 0? (a) q (b) 54 (c) m (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3 - 14*b**2 + 2*b + 158?\nAnswer: 18*b - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l**3 + 72*l**2 - 42*l - 241. What is the remainder when 916 is divided by w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 2. Let p(i) = 12*i - 6. Let a(h) = -10*n(h) - 3*p(h). Calculate the remainder when a(3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 2*l - 2. Give n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 1183.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*z - 461*z + 27 = g, 4*g = -5*z + 52 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1011716505 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/(-12))\/(-4))\/2*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820738330.\nAnswer: 2, 5, 182073833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7172, -7170, -7166, -7160, -7152, -7142?\n\"Answer: x**2 - x - 7172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-192)*(-2)\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.04 + -0.04. Let z = c + -0.6. Sort 0.3, z, 3.\nAnswer: 0.3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 8. Let a be s(0). Solve 5*o - 4*c + a*c - 20 = 0, 5*o - 2*c - 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355306957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*a - 1084*a - 37 + 1714*a.\nAnswer: -8*a - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 15*j**2 + 3*j + 6*j**2.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7*x**2 + 3925*x + 2800 = 0.\nAnswer: -560, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 719*m + 299 = -718*m, -16*m + 11*m = -3*u - u + 205 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 896243 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 1 + 1)*(-2 - 2 + 2) - 3*n**3 - 2*n**3 + 4*n**3 + (0 - 1 + 0)*(-n**3 + n**3 + n**3) + 0*n**3 + 4*n**3 - 2*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 25 = -2*g - 108, 10 = 5*g. Let v = -27 + a. Solve v*k = -3*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (3 + (8 - 8) - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.8922km to nanometers.\nAnswer: 212892200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppbo when four letters picked without replacement from {p: 6, b: 1, o: 7}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6117559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303800814 rounded to 3 decimal places?\nAnswer: 0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*v + 171 - 57 = 0, v = 1. Calculate the remainder when 146 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -11*c + 72. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 23. Is z bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 4 - 0 - 0. Suppose 2*r - 2 = 0, 4*d = j*d - 4*r + 40. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5114584, -5114588, -5114602, -5114632, -5114684, -5114764, -5114878?\n\"Answer: -q**3 + q**2 - 5114584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 64170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 1\/2 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 90, -362?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(50\/(-15)) + 26\/4. Suppose w + 4*n + 5 = 0, -5*w - y*n + 0*n + 5 = 0. What is the remainder when 50 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Let h(b) = b**3 - 5*b**2 - 6*b + 5. Let q be h(6). Suppose -q*x = z - 26. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (6 - 8) - -3) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -k - 25, 5 = q - k - 2*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*l*y - 193*a**2*y + 3666*a*l*y**2 + 29*y**2 wrt l?\nAnswer: 2*a**2*y + 3666*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.98 - -5.979999506. What is g rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363884 is divided by 23561?\nAnswer: 10469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135*j**2 + 217*j + 142101*j**4 - 217*j + 297*j**2 - 162*j**2)*(-1 + 4 - 1).\nAnswer: 284202*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-150) - (-1)\/(12\/38). Solve 3*l + 10 = -p + 3*p, -5*p = r*l - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010011011101 (base 2) to base 10\nAnswer: 17629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + n. Let q(w) = -15*w**3 - w**2 + w - 4. Let p(g) = q(g) + 3*u(g). Let d(i) = i**3 - i**2 + i - 1. Calculate 4*d(l) - p(l).\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*n - 118*n + 2646 = 0. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, -2\/7, 3, -0.4, 2, 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/120 - n**5\/60 + n**3\/6 - 2*n**2. Let b(c) = -9*c**3 + 6*c**2 - 4. Determine -b(o) - 6*u(o).\nAnswer: 3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5 + 5. Suppose r*s + 2*y - 16 = 12, -y + 12 = 2*s. Let z(m) = -m**2 + 4*m**2 - s*m**2. Let a(f) = -6*f. Give z(a(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 912141 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 + 7*n + 4. Let a(m) = -9 - 5 + 25 + 10*m - 14*m**2 + 10*m + 0*m. Give -3*a(k) + 8*t(k).\nAnswer: 2*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjgm when four letters picked without replacement from mcgcmcdmgzjcmdcmz.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a + 50ac05?\nAnswer: 50ac31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9424530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 + m + 4. Let p be j(0). Let r be -1 + -1 - (p + -6). Let a = 175 - 171. Sort r, a, 1.\nAnswer: r, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 20. Let x be n(-5). Suppose -x = -d - 14. Put 2, d, 15 in ascending order.\nAnswer: d, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/308742 and 26\/948279.\nAnswer: 13275906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c95d5 (base 15) in base 9?\nAnswer: -24564732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7) + -3 - 11 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*d. Suppose 0 = 12*c - 17*c - 20. What is the closest to d in c, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.3 (c) -29 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54313.8l in millilitres?\nAnswer: 54313800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 912 and 1152?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-8) + -3)\/(9\/6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 + 813. Solve 5*x + 2*z + b = -2*z, -x - 4*z + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/(-1) + (-4 - -4). Let x = p - 64. Is x != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 32. Determine t(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 10 - (1 - -22))*-3. Solve -74*i = -f*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12400?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 + 2*b. Let o be h(-2). Suppose 3*s + 55 = o*s. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 133, 195, 255?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 43*d**2 - 194*d - 150. Calculate the smallest common multiple of 9*12*(-12)\/(-16) and m(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390.859 times 72\nAnswer: 28141.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.99458008 to two dps.\nAnswer: 10.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5472\/(-51680))\/(3\/5)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3112*t + 3065*t - 1398 = 0, y + 4*t = -124 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2*2)\/(sqrt(32)\/(sqrt(8)*1)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/20 + 7*u**4\/12 + u**3\/2 + 3*u**2\/2 - u. List the prime factors of y(-5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/2334079 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331621 is divided by 6362?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -128 in descending order.\nAnswer: -1, -3, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 divided by 125?\nAnswer: -163\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 4*w = -55, 0 = 7864*q - 7867*q + 2*w + 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:30 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwfsfisfppffisfwff. Give prob of sequence sp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 712, 1748, 3608, 6568, 10904?\nAnswer: 16892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 14*i**2 - 5*i - 11. Calculate n(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (-17)\/(-2) + 921\/6. Let r = v + -152. Suppose 0 = -4*y + 16, x - 5*y + 8 = -2*y. Solve -4*m - x = 0, 0*w - 3 = 4*w + r*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.05 + 0.05. Let i = -27\/265 + 903\/1060. What is the closest to -0.4 in i, 2, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/24*2*9\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63030 and 10505.\nAnswer: 63030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*-1 - (470 - 461).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 7*f + 276. Let t(z) = z**2 - z - 33. Let s be t(0). Let i = s - f. Solve 3 = -2*o + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x - 3*z + 13 = 0, -z = 5*x - 39. Let j = x + -7. Suppose 2*m = 3*l - 0*m + j, -m = 3*l - 14. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796450201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*q + 1545 = g, 5*g - 2*q = 1545. Let m = g - 169. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*r**2 - 3269*r**3 + 1646*r**3 + 5 + 1866*r**3 wrt r.\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2. Let b(c) = 5 + 2*c - 9 + 4. Determine b(p(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14017 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptppivppxppiyx. What is prob of sequence piy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1098 and -15119.\nAnswer: -16600662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -483.3806 + -0.4194. Let n = -484 - x. Which is the nearest to 1\/4? (a) 1\/4 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**3 + 7 - 3\/2*g**2 + 1\/4*g**4 - 6*g. Let l be o(-3). Solve -8 = -l*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, z: 1, w: 7, s: 1}. What is prob of sequence lz?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451480 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -448560 by 7476.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3310 (base 6) to base 11.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2761 is divided by 153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 4)*(x - 3*x - 3*x) + 5*x - 3*x - 3*x as i*x + m and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -57*k - 2. Let y(f) = -57*f - 1. Let v(c) = 3*d(c) - 4*y(c). Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 26*b**4 + 11*b**3 - 4*b**2. Let k(v) = 5*v**4 + 2*v**3 - v**2. Let a(d) = 11*k(d) - 2*s(d). Determine g so that a(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -303.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4*i - 5*i)*(-1 - 2 + 1) - 2 - 3*i + 2 + (i - 4*i + 4*i)*(-1 + 0 + 0).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 73\/(2*2\/4). Suppose -i - 5 = -6*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:05 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 + 117*m**4 - 2138*m**3 - 74608*m**2 - 442272*m - 369920 = 0. Calculate m.\nAnswer: -10, -8, -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25823000 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*q - 3*b + 6, 3*b + 9 = 0. Suppose -q = -d, d - 2 = -2*t + 16. Suppose -4*x + 35 = -j, -3*x - j + 21 = -t. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 + -379. Let n = x - 390. Which is the nearest to n? (a) 0.07 (b) 2 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29396956 or 29396960?\nAnswer: 29396956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1826*k + 1271. What is the ten thousands digit of d(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/((sqrt(21)\/sqrt(7) + sqrt(3))*-6) + 4)*-4 + -2.\nAnswer: -18 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6037235 (base 9) in base 3?\nAnswer: -20001021021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11156493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25020 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 3. Suppose -3*h = 0, 3*l - 114 = -4*h - 33. Let g = l - 31. Let z be -8*g\/(-4) - -4. Let o(f) = 3*f + 2. Calculate z*c(u) - 6*o(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*p - 9432 = 2*c, 2*p + 1 = -3*p + 6*p - c - 3 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249.3 - 249. Let v be 0 - 1 - (3390\/425 - 9). Do v and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {e: 1, h: 1, c: 1, b: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4797 - -1?\nAnswer: -4796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 42. Let f = -31 + o. Let u = f + -16. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 < -1999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -1 (c) 1093 (d) -14840\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132960, -258703, -384448, -510195, -635944, -761695, -887448?\n\"Answer: -x**2 - 125740*x - 7219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0) + (2 - 1). Suppose 3*i = a*i. Let g(r) = -r. Let c be g(i). Solve c*p + 5*p - 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4018?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 216696*r + 3249765.\nAnswer: 3*(r - 72217)*(r - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*m**4*y**3 + 2770*m**3*y**3 + 17*m*y**3 + 10*m*y + 2*y**3 - 2*y + 157 wrt m.\nAnswer: -1248*m**2*y**3 + 16620*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -1 + 1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185140 is divided by 182363.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**3\/3 + 4*h**2 + 10*h - 2. Determine t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(605) - (-2 + 0 + sqrt(5)))**2*3.\nAnswer: 252*sqrt(5) + 6627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -26. Let y(c) be the second derivative of -c**5\/20 - c**4\/3 - 973*c. What is y(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozzzzozozzzzzzzozzo. What is prob of picking 2 o and 1 z?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 + 14*m**2 - 10*m**2 - 2*m**2. Let u(w) = 2*w. Determine g(u(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 25*i**2 - 10*i + 10. Is k(14) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33\/(1914\/(-4)) - (-6964)\/58 and 118\/(1 + 1) + 1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 6*p + 53. Suppose 80 = -3*b + 23. Let a = b + p. Solve 4*i = j + 20, 0*j - 3*i + a = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460*k**2 - 45*k + 15 wrt k?\nAnswer: 920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1360 = -2*i. Suppose -g + 3*g = 3*w + i, -4*g - 3*w + 662 = 0. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let y = -447 - 253. Let u = y + 736. What is the least common multiple of u and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 2365, 5311, 9435?\nAnswer: 14737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4 (c) 0.1 (d) -6\/5 (e) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a millimeter in micrometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 51 + 32)*(-4 + 2 + 1 + (-5 + 0 + 2)*(-3 - 1 + 3))*(-1 + b + 1)*(13*b**4 + 43*b**4 - 4*b**4).\nAnswer: 1872*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**5 + r**4 + r**3 + r. Let y(w) = -21*w**5 - 6*w**4 - 6*w**3 - 72*w. Let b(m) = 6*i(m) + y(m). What is the second derivative of b(h) wrt h?\nAnswer: -540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8402 and 10?\nAnswer: 42010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 * -37.1\nAnswer: 63.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/60 - 5*z**4\/6 + 13*z**3\/3 - 19*z**2. Let w be r(18). Let b be w\/(-8) - 2\/8. Sort -1, -5, 2, b in increasing order.\nAnswer: -5, -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5166011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Suppose 5*o + 4*y - 7 - 3 = j, 0 = -2*o + y + 4. Determine n, given that n**2 - 3*n**o + n**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14 + 3*k - 1 + 5. Let g(o) = -o**3 + 6*o**2 - 5*o - 4. Let z be g(4). Is j(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.118*0.4.\nAnswer: -0.0472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68591 + 9715*o**2 + 97345*o**2 - 68591.\nAnswer: 107060*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-16) - (-582)\/4. Let t = -359\/20 - -1941\/80. Calculate the common denominator of (20\/d)\/5*190 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 22*k**2 + 24*k + 21. Calculate i(-21).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.1031, 2, -0.3, 1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 441.9455mg?\nAnswer: 0.0000004419455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 + 7*c - 2. Let a(g) = -7*g - 1. Let z be a(1). Let t be s(z). Solve t = n + n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11736, 12012, 12288, 12564, 12840, 13116?\nAnswer: 13392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 4*c. Solve 5*v = -10, 4*i - 2 + c = v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -1.8. Which is the closest to 0.1? (a) 4 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6614131 + -1257?\nAnswer: -6615410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38763, 36733, 33359, 28641?\nAnswer: 22579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508542008 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -45 - -42 - (64\/(-28) + -1). What is the nearest to 39 in -1, 2\/121, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/2 in -1, -14\/5, -0.13?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 28. Suppose -121 = o*j - 1850. What are the prime factors of j?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -224.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - -631?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/40 and -93\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 15. Let k(q) = 23*q - 45. Determine -17*c(h) + 6*k(h).\nAnswer: 2*h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 1, 9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*r = -15, 5*r = -3*h - 0 - 6. Suppose -4 = -2*j - 0. What is the second derivative of 3*d + 3*d**h - 8*d**2 + 8*d**j wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(2 + 63\/(-28)). Suppose 2*a = 6*a, 2*x - 14 = -2*a. Solve 2 = h*b - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 4554a9?\nAnswer: -4554b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54610.\nAnswer: 2, 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/161 or 1?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 4\/27461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = 8*h - 177 + 235 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let b = -15 - -14. Let x = b + 1.3. Sort l, x, 4 in descending order.\nAnswer: 4, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d**3 + d**2 - d + 1. Let s be f(1). Suppose -w = w - s. Suppose 4*r = p + 116, 2*r = -w*p + 34 + 2. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133\/26 + 2413\/520. What is the common denominator of (819\/(-4160))\/((-10)\/8 + 3 + -2) and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 1. Let r be i(-1). Let q be (8 - 5) + (-2 - 5). Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2427 times 0.2\nAnswer: -485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217270 by -5.\nAnswer: -43454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiibbiii. Give prob of sequence bb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212200 - 3?\nAnswer: 212131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 2*n - 22. Let k(t) = 4*t**2 - 5*t - 44. Calculate 2*k(q) - 5*v(q).\nAnswer: -2*q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i. Let d(j) = 4*j - 37. Let a be d(10). Let x(c) = 7*c**2 + a*c**2 + c**2 + 0*c**2. Give v(x(y)).\nAnswer: 77*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -14058*t**2 + 28120*t**2 - 14061*t**2 - 3 - 229*t**3 + 3*t**4 + t**4 - 2*t - t**4 in the form y*t**4 + c*t**3 + g + j*t**2 + z*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/5 + 42914*x**2\/5 + 539947*x + 5227822\/5 = 0. Calculate x.\nAnswer: -42851, -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*o*z**2 - o*z - 389384*z**2 - 77*z + 75936 wrt z?\nAnswer: 158*o - 778768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -423, -417, -409?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 1188?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 16. Let c(k) = -k**3 - 3*k**2 + 5*k + 4. Let f be c(v). Suppose f = 4*r - 20, 5*n + 2*r - 273 + 83 = 0. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -702698553.25 take away 3?\nAnswer: -702698556.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 7 - 31. Suppose 0 = -q*z + z. Suppose z*t = -t + 17. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 487, 986, 1485, 1984, 2483, 2982?\n\"Answer: 499*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114552467593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 135\/8?\nAnswer: 135\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/12)\/((-10)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1. Which is the closest to 0? (a) 2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 335? (a) -2 (b) -2\/23 (c) 2\/19 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 0 - (0 - 3 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3877 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6134986 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -46.\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895272364 to the nearest integer?\nAnswer: 29921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:37 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6306, -12617, -18928, -25239?\nAnswer: -31550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30800 by -880.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4*a - 5*a + 4)*(11*a**3 - 5*a**3 - 12*a**3) to f*a**2 + m*a + c + g*a**3 + x*a**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 38 = 2*j, 3*g + 5*j + 19 = 10*j. Calculate the remainder when 122 is divided by 3\/(-4) - 334\/g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 671*v**2 - 283*v wrt v.\nAnswer: 1342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 12*l - 33. Calculate p(-19).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:55 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, e: 1, q: 1, x: 1}. What is prob of sequence we?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 3*a**2 - a + 2. Let h be b(2). Let y(m) = 6*m**2 + 8*m - 11. What is the hundreds digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 5*o**3 + o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.93 to the nearest integer.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 2. Let w be r(6). Let p = -4779 + 4841. Put p, 0, w in descending order.\nAnswer: p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/640)\/(4\/18 + 10\/144*-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*p, -5*i + 273 = 3*p. Let a be (65\/(-39))\/((-1)\/3*1). Suppose a*y - 1 = -n, n + 2 = -3*y + 5. Calculate the highest common factor of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8*d\/d**(-2\/41)*d\/(d\/(((d**(2\/15)*d)\/d)\/d))*d*d\/d**0 assuming d is positive.\nAnswer: d**(6262\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**2 + 7*h + 15 - 25*h**2 + 2*h**3 + 7 + 14*h**2. Calculate the lowest common multiple of 38\/10 - (-2)\/10 and g(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -715179 + 10598186. Let a be -5 - (-68049021)\/3 - -5. Let p = a - o. What is p rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j - 9\/2 + 1\/2*j**2.\nAnswer: (j - 3)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 + -0.13. Let z = t + 0. Round z to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6300.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36028.1484 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 56*w + 5. Let x be c(-6). Let r(p) = 305 + 6*p**2 - x. Let g(t) = -77*t**2. Calculate r(g(z)).\nAnswer: 35574*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-26741))\/(665\/14630)?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/27 and 76\/99?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 42*z - 2962 = 297*s, -2*s + 19 - 47 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.02, -1, -1\/2, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-268090.\nAnswer: -50937.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 16 = -f, 5*n + 3*f - 85 = -135 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -77038*f**3 - 2*f**2 + 2*f - 2. Let j be v(-3). Round j to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*-3*3\/27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129638 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -89710.2827 to the nearest 1000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9956 and 94582?\nAnswer: 189164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 143?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 132732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 1\/3*r**3 + 0*r**2 + 43 + 53*r + 0*r**6 + 0*r**5 + 3\/4*r**4 - 3*r**7. Find the third derivative of f(y) wrt y.\nAnswer: -2520*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 233*n**3 - n**2 - 8*n + 9. Let w be a(1). Suppose 88 = -3*u + 3*h + 325, 3*u + h - w = 0. What is the highest common factor of 702 and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.1321 milligrams in tonnes?\nAnswer: 0.0000008521321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*i**3 - 37*i**2 + 788*i + 57187852 wrt i.\nAnswer: -186*i**2 - 74*i + 788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*y - 472 - 93 - 365 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -741, 214, 1803, 4026, 6883, 10374, 14499?\n\"Answer: 317*q**2 + 4*q - 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 10757.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 48, 68, 96?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 - k**4\/24 - k**3 + 76*k**2. Let p be b(-2). What is i in 1\/7*i + 1\/7*i**2 + p = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221012201101201 (base 3) in base 4?\nAnswer: 303013020310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 1 + 2*n**2 - n + 2*n**3 - 2*n + 3*n**2 in the form w*n**2 + k + h*n**3 + a*n and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**3 + 13*x**2 + 11. Let v = -51 + 40. Let h(c) = -4*c**3 + 7*c**2 + 6. Let d(u) = v*h(u) + 6*b(u). Let d(j) = 0. What is j?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.31 (b) -0.055 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1621*v - 96395 = -5619 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 0. Let m = -98 + 98.43. Let j = m + -0.33. What is the second smallest value in j, s, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 231474657 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = -h + 9*g + 3, 0 = -h + 4*g + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -1. Let b = 2775\/5027 + -3\/457. Let c = 0.1 + 0.4. Sort c, b, o.\nAnswer: o, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 - 3*h + 12. Let q be r(-5). Let w be (-6)\/(-2) + (-2 - 1). Which is the second biggest value? (a) -1 (b) -8 (c) q (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 10*j - 12. Suppose -4*p - 7 = 9, o - 25 = 4*p. Let h be y(o). Let a be 3*50\/h*-2. What is a rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyrraj. Give prob of picking 2 a and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13710624*n**2*y - n**2 + n*y**2 - 12821819*n wrt y?\nAnswer: -13710624*n**2 + 2*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14764 and 127286.\nAnswer: 939625252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11000302 (base 4) to base 11\nAnswer: -14474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-14 - -15) + 6 + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y*y*y**(8\/5)*(((((y\/(y**(2\/19)*y))\/y)\/y)\/y*y)\/y)**(-1\/44))**(2\/59) assuming y is positive.\nAnswer: y**(8194\/61655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*v - 1. Let i(j) = -12*j + 1. Let m be i(v). Let q = m + -176\/7. Which is the closest to 1? (a) 5 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5\/2 + 2247*y**4 + 388608*y**3 + 1893477*y**2 + 2223459*y\/2 - 3396060 = 0?\nAnswer: -152, -3, 1, 1655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b - 52. Let v = 9 - b. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91 times 0.2?\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15956374.\nAnswer: 2, 7, 1139741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.84 - -0.16. Let o = s + -92.9867. Round o to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from nlhllhnllnnlqnllnlln.\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*6\/(3\/(-1)). Suppose -4*z = 5*x - 41, -z + 40 = i*x + 4*z. Let v = x - -7. Calculate the smallest common multiple of v and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 42. What is t(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -104722, -103031, -101340?\n\"Answer: 1691*z - 106413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 - 80852?\nAnswer: -80795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*n*u**2 - 550*a*u**5 + a - n*u**3 - 8*n*u**2 + u**3 + 2*u**2 wrt u?\nAnswer: -33000*a*u**2 - 6*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4408*b + 5656*b + 35 - 31)*(-4 + 4*b + 4)*(0 + 0 + 2) to u*b**2 + z + f*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*d - 33, -l - 5*d = 54 - 13. Suppose c = 4*x - 4 + 14, 5*c - 33 = 3*x. Suppose f = -f + c. Solve f*u = 4*k - 2*k + 5, -l*k - 2*u = 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.65 at most 8908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243283736?\nAnswer: 2, 17, 787, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 58*h + 10. Is k(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 2, h: 4}. Give prob of sequence nhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 37, -3, -4, 45, -5 in descending order.\nAnswer: 45, 37, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52451594.\nAnswer: 2, 13, 2017369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)*a)**(17\/2))**(-38))**37 assuming a is positive.\nAnswer: a**(-59755\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 79534*n**2 - 48*n + 364. Let q be d(6). Round q to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1336)\/(-1169))\/(44\/(-1771)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -485 (base 12) to base 14\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i. Let b(a) = a**2 - a. Let n(d) = -10*b(d) + h(d). Let m(q) = 10*q**2 + 6*q. Let x(l) = 4*m(l) + 5*n(l). Let g(v) = -v**2. Determine x(g(z)).\nAnswer: -10*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 1. Let l(d) be the second derivative of d**4\/6 - d**3\/2 - 4*d. Let z(o) = 2*c(o) + l(o). Does 12 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1699784 divided by 2.\nAnswer: -849892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = -p, 2*p = -z + 6*z - 12. Let i be 3393\/12 - ((-6)\/8)\/p. Is 47 a factor of ((-18)\/(-4) - (-1 - -5))*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 3*c. Suppose 0 = 3*i - 8*i + 15. Let u(g) be the second derivative of g**4\/12 + g**3\/3 - 8*g. Calculate i*u(k) - 2*t(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -194\nAnswer: 57\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3*r + 0 - r + r + 3*r + (1 - 3 - 2)*(2*r + 0*r - 3*r) - 1 + 1 - r in the form j + w*r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005694372 rounded to 6 decimal places?\nAnswer: -0.000569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*t + 7*t + 7 = 0, -3*t = 5*s - 7. Let c(f) = 3 - 1 - 2 - 2*f + s. Let d be c(-4). Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192852319.\nAnswer: 19, 41, 101, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659378 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 2568\/(-6))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862639.\nAnswer: 59, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*m - 2*i - 84, -4*m - 137 = -3*i. Let w be (m\/6)\/((-4)\/(-18)). Let z = w + 29. What is the remainder when 28 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/90*3312\/2622?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/13*s**3 + 2\/13*s**2 + 0*s + 0 + 12\/13*s**4 = 0.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 2949894\nAnswer: -2949894.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*w - w - 14, -k - w + 4 = 0. Suppose 4*i + k = 4*x - 6, x = -i + 2. Factor -3*t**2 + 17*t**x - 13*t - 4 + 3*t.\nAnswer: 2*(t - 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -62*l + 1747 + 1778. Calculate the greatest common factor of 5029 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 + -6272?\nAnswer: -6419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 1:45 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3, y - 209 + 590 = 2*f. What is the remainder when f is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5943600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 254 divided by -2\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 - 7\/7. Suppose k = x - 5*u, -4*u + 0*u = 0. Solve 6 = -0*i + 3*i, x = -3*c + 5*i - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -5137?\nAnswer: -5136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 129.781671788 from 0.123.\nAnswer: -129.658671788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - x**3 - 2*x**3 + (5*x**2 - 3*x + 3*x)*(-313*x - 1586 + 1586).\nAnswer: -1572*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 153\/7 > 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2057 - -1992. Let t = 77.37 - 15.47. Let k = u + t. Round k to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*a = 41, 2*a + 87 - 167 = -84 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 2 + 5*u**2 + 1 - 2*u - 20*u - 9*u. What are the prime factors of c(-11)?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + 2300102?\nAnswer: 2300011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30949, -61928, -92901, -123868?\nAnswer: -154829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101517756.\nAnswer: 2, 3, 8459813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90 + -3?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-33)\/(-5))\/((-14)\/455). Let k be 3 + (-1 + -35)*-1. Calculate the greatest common factor of b and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 70 = -0*n + 2*j, -1 = -j. Suppose 0 = -2*r + 9*r + 560. Let o = 152 + r. Calculate the highest common factor of o and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.5 - 18. Which is the nearest to 7? (a) d (b) 1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/105)\/((-17)\/5 - -2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181671098 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**2 + 124*y - 792 = 0.\nAnswer: 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22062 + 22061. Sort 3, 4, -2, 3\/2, s in descending order.\nAnswer: 4, 3, 3\/2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214052?\nAnswer: 2, 3, 7, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668681 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6973 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15)*i**9 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920799146.\nAnswer: 2, 3, 7, 4261, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - l - 2, 2*l = -3*l - 10. Solve -3*n + 1 - 4 = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-11 + 3 + 357\/84)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-45)\/(-10))*10\/(-3). Let d = 229\/2 + -112. What is the nearest to h in 2, d, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7857 and 2151.\nAnswer: 1877823","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 178 = 2*d, 4*s + 280 + 165 = 5*d. Calculate the common denominator of (-105)\/84*106\/10 and d\/16 + 1\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*i**3 - 81864*c**2*i + 4*c - 180169*i**3 with respect to c.\nAnswer: 2*c*i**3 - 163728*c*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/((10\/10)\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 677*f**3 - f**2 - f. What is the units digit of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1110 = -3*s, 3*n = 4*s + 1021 + 93. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let f = -55 - -35. Let d = -18 - f. Let n(k) = -k**2 - k. Let g(u) = -u**3 + 2*u**2 + 2*u. What is a*g(i) + d*n(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (sqrt(16) - (1*sqrt(256) + sqrt(256)) - sqrt(16)))\/(1*sqrt(40)\/sqrt(5)) + 0.\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6319609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 23204112413?\nAnswer: 23204112413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124030 and 99224.\nAnswer: 496120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35323503 - -4?\nAnswer: 35323511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92048 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - (-5)\/(5\/(-1)). What is the greatest common factor of 187 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**5\/10 + n**4\/3 + n**3\/3 + 3*n - 1. Let t(d) be the first derivative of v(d). Factor t(b).\nAnswer: 2*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 + 320. Let s = m - 126. Suppose -s = -t - 0*t. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6765000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 80 = 10*f. Suppose -14*v = -18*v + f. Suppose -p + 58 = 4*y - v*p, -4*y = 4*p - 72. Solve -4*a - y = 0, 0*a = 3*j - a - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5345, -5391, -5437?\nAnswer: -5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 - -5094 - (-49 + 32) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h + 8*h**2 + 0*h**3 + 1\/2*h**4 + 0 + 4\/15*h**5. What is the second derivative of j(x) wrt x?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-678)\/126) + -2. Let w(f) be the second derivative of 5\/42*f**4 + l*f**3 + 4\/7*f**2 + 0 + 1\/70*f**5 + 2*f. Factor w(m).\nAnswer: 2*(m + 1)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9480 by -3.\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + u - 66 = 0, m + 4*u - 2 = -4. Suppose -6 = o - c, 3*o + 5*c + m = 7*c. Let v be (-12)\/8*3*o. Solve 0 = 4*p + 3*h - 5, 5*p + h + 0*h = v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t - w - 82, -4*t = 3*w + 166. Which is greater: t or -42?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = -4*m - 99. Suppose 4*z - 2*d - 94 = 3*z, m*d = -3*z + 300. Is 97 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1175 (base 14) to base 3\nAnswer: 11011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272) + sqrt(272) - sqrt(272)) + 1 + (sqrt(272) - (0 + sqrt(272) + 0 - sqrt(272)))**2 - -5*(-2*sqrt(272) + 4 - sqrt(272))**2.\nAnswer: -472*sqrt(17) + 12593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 + 323?\nAnswer: 2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*m + 404*m + 2*t = -6, m + 3*t - 7 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*y + 103*y - 63 = 0. What is the remainder when 134 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f + n, -3*f - 2*n + 3 = -6. Let l(h) = -66*h**2 + 9 + 65*h**2 - 3*h - f. What is l(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - m**2\/3 - 121*m\/3 + 121\/3.\nAnswer: (m - 11)*(m - 1)*(m + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/153812 in -4, -2\/7, -0.213?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 - 140. Suppose u + 93 = 4*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittttit. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*g**3 + 1\/2*g**2 - 1\/2 + 1\/4*g.\nAnswer: -(g - 2)*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 5*r**3\/6 - 19*r**2\/2 - 8005*r. Let l(g) = 4*g - 19. Calculate -3*l(h) + 2*v(h).\nAnswer: -2*h + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**2 - 6*o**2 + 18*o**2.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 21*z**2 + 10*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000038826 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 - 2*c**2 - 2*c + 4. Calculate s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/80 + 3*b**4\/32 + b**3\/4 - b**2. Factor g(j).\nAnswer: 3*(j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 1 - (0 + 987 + 1). Is u at most 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-6)\/(2*-1)). Let a = -3016 + 3016. What is the nearest to a in 2\/23, d, 0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1f3a1 (base 16) to base 8\nAnswer: 371641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*0.0268744.\nAnswer: -0.007524832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + -3 + 13 + -15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5 - 4*y**4 + 4*y**2 - 2*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 90 = -31*n. Is 37 a factor of 7\/(-21) + (-890)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16506*((-1)\/2 - -1). Suppose 5 - 15 = -5*z. Suppose z*n - 11*n + k = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.46 - 10.6. Let q = w - -0.140284. Round q to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 12. Solve -3*a + 7 + 5 = 0, -y + o*a - 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 152, 230, 308, 386?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230745 divided by -55?\nAnswer: -40559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 5. Let m be y(0). Suppose 0*w = -m*i + 2*w + 97, i + 5*w - 41 = 0. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -9. Let u be 2 - 3\/(c - 0). Let t = u - -2. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 840 - 541. Let b = j - 251. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17145 divided by -30.\nAnswer: -1143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645906896.\nAnswer: 2, 3, 11429909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6 + -2)*(-320)\/50?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(66)\/sqrt(3) + sqrt(22)) - ((sqrt(132)\/sqrt(3))\/sqrt(2) - sqrt(22)))\/(-1*(2*sqrt(1584) + sqrt(1584))).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 + 1*6. Let q = 13 - i. Let x(t) = -t**2 + 16*t + 902. Let s be x(39). Calculate the highest common factor of s and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8169577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 8, 13, 20, 29, 40, 53?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 30?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7507833 to the power of 1\/2, to the nearest integer?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0. Suppose 4*z - 8 = 4. Let o = 5.9 + -6. Which is the nearest to -0.2? (a) z (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*s - 82 = 0, 2*y - 2*s = 3*y - 103. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -980632 and -5?\nAnswer: 4903160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145455.\nAnswer: 5, 13, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**2 + 399*b - 1870. Give c(5).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/2340 + 11*r**5\/390 + 121*r**4\/156 + 7*r**3\/2 + 33*r**2 - 1. Let q(f) be the first derivative of b(f). Factor q(y).\nAnswer: 2*(y + 11)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + ((-3 + sqrt(931))**2 + sqrt(931) - sqrt(133)\/sqrt(28)).\nAnswer: -71*sqrt(19)\/2 + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:17 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from napppppjn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 5*t + 3. Let a be 8*2\/(2\/3). Suppose -z = 4*o + 3*z + a, 10 = -5*o + 5*z. Determine n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0140298 rounded to 4 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 141, -2\/9, -94\/13, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9 - k - k - 37*k**2 + 18*k**2 + k**3 + 7*k**2 - 4. Calculate l(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 2877660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -15 + (13 - (-7 - -14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**2 - 88*y + 543. Give k(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4893 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/p*p*(p**(-5\/2)*p)\/p*p*(p*p*p*p**(-1\/4)*p)\/p**(1\/5)*((p**(-1\/6)\/p)\/(p**(-1\/3)*p))\/(p**(2\/3))**(-22) assuming p is positive.\nAnswer: p**(653\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 71*h + 1 + 3 + 2*h - 4*h + h + (2*h - 4*h + 3*h)*(-4 + 4 - 1).\nAnswer: 69*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12713368 (base 9) to base 5.\nAnswer: -3101040442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*i**2*u - 21*b**3*i**2 - 2*b**3 - 3*b**2*i**2 + b**2*u + 2*i + 204*u wrt i?\nAnswer: -4*b**3*u - 42*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31247256.\nAnswer: 2, 3, 31, 41999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74716766 to the nearest integer?\nAnswer: 8644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8.6. Let n = p - 3. Which is the second smallest value? (a) n (b) -1\/8 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 2. Let o(d) = 8 - 5*d**2 + 3 + 0*d**2. Let x = 0 - 122. Let r be (((-176)\/(-6))\/2)\/(x\/(-183)). What is r*n(p) + 4*o(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 353046580?\nAnswer: 1412186320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5515227 to the nearest 10000.\nAnswer: 5520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -58*n - 3. What are the prime factors of l(-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -11*l**5\/20 - 4*l**2 - l - 2. Let h(g) be the first derivative of n(g). Let m(k) = 7*k**3 + 5. Determine 5*h(r) + 8*m(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - (-7 + 4 + 0)) + -66 + 28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 - 5 = 0. Let y = x - -4. Suppose a + a = -y, -3*f = 3*a - 45. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1008\/1080*(-10)\/(-21)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3844\/3 (b) 249\/110 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -4*v + 2\/3*v**4 + 8\/9*v**3 - 16\/3*v**2 - 1\/3*v**5 + 0 + 2\/45*v**6. Factor a(u).\nAnswer: 4*(u - 2)**3*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 14*c - 19. Let k be a(12). Solve k*j = -2*f + 12, -5*f + 0*f - 5*j + 15 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 544.481 hours?\nAnswer: 32668.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2863564876?\nAnswer: 2, 43, 16648633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 8*n**2 - 7*n + 5. Let s be x(-7). Suppose -s*f = -10*f + 60. Let y(i) = i**3 - 12*i**2 + 2*i + 10. What is the units digit of y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1671*a**2 + 0*a + 658*a**2 + 0*a to l + s*a**2 + u*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - y**2 + 0*y + 2*y**3 - 3 - 8 to the form k*y**3 + x + b*y**2 + r*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*z + 2*j + 3, -3*z + 4*j = 8. Let o be (-2)\/(-11) - z\/(-44). Suppose v + 3*q = -o*q + 4, -5*q = -3*v + 26. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1604.4 + 1604.4011327. What is x rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**5 + s**5 + 2*s**5 + (1 - 2*s - 1)*(s**4 - 3*s**4 + 0*s**4) + (s**5 + 4*s**5 + 10*s**5)*(0 + 3 - 5).\nAnswer: -27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 743\/1494 - -2\/747. What is the nearest to -0.29 in -0.4, -9, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -27.2. Is t at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, 2, 29, 80, 161, 278, 437?\n\"Answer: o**3 + 3*o**2 - 7*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrxyyryrrqyvrxxvr. What is prob of sequence qv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121550424, -243100834, -364651244, -486201654, -607752064?\nAnswer: -729302474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1803720 + -17087567.\nAnswer: -18891287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(567) + -1 - sqrt(567))*4*6 - (5 + 2*(-2 + 1 + sqrt(567))))**2.\nAnswer: 972*sqrt(7) + 2997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-70)*16)\/((-2)\/14). Let y = 80 - p. Let z = 0.8 + -0.9. Which is the closest to 2? (a) y (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 0*n - 9*n)*(-3*n - n + 5*n + (0 + 2 - 4)*(0*n - n + 2*n)) to j*n**2 + u + r*n and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t + 38 = 0. Let q = -23 - t. List the prime factors of 2*-9*12\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = -2*r, 2*r = -0 + 4. Suppose 0 = -8*b + t*b + 35. Let d be b\/(-2)*(-48)\/28. Solve 4*y - 15 = 2*y + 5*x, y + d = -2*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-8)\/(-3) - 3). Suppose -2*a + y*a = -16. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 5*q + 3. Let x(w) = w**2 + 3*w - 2. Suppose 3*k = 16 + 8. Suppose -s + 25 - 20 = 0. Give k*x(c) + s*d(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197\/8 + -557\/24. What is the common denominator of (-62)\/9 + (-3 - -4) and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k**3 - k**2 - 126 + 0*k**4 - 11*k - 27\/5*k**5. What is the second derivative of q(f) wrt f?\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a + 14. Suppose 2*p - a*p + 215 = 0. Suppose 3*z + 2*t - 38 = 3*t, -3*z = 4*t - p. Calculate the highest common factor of z and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -584\/69651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3 - 10. Let q = 11 - t. Solve -q*f = 4*u + 12, -f = -4*f - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1699.5340576 + -12.\nAnswer: -1711.5340576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 277. Calculate the remainder when j(-150) is divided by 164.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1636, 894, -4.\nAnswer: -4, 1, 894, 1636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204809 = -75*l - 70*l + 134*l. Calculate the highest common factor of 43 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078802*-4.\nAnswer: -0.315208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5983525 and 710.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a + 3630 = 0. Round a to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-13)\/3. Suppose 23 = x*i + k, 5*i - k - 18 - 4 = 0. What is the remainder when 12 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 320. Let s = t + -26. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30515124 divided by 4\nAnswer: -7628781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.75 - -1.75. Let u = 3 + -2.7. Let v = u - 1.3. What is the closest to 2\/13 in 4, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 15. Let j be 0 + w - 3 - -15. Suppose -t = -j - 1. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (442\/(-612))\/((-52)\/16) + 32\/(-117)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/8851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) - sqrt(7) - (sqrt(70)*3)\/sqrt(10))**2 - (-1 + sqrt(28) + (sqrt(28) - (sqrt(252) + 4 - sqrt(28)))**2).\nAnswer: -18*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52141?\nAnswer: 23, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b**2*d**2 + 2*b**2*n + b*d**2*n - 8*d + 3*n wrt d?\nAnswer: -28*b**2 + 2*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Let r(p) = 2*p + 122. Let i be r(-36). Calculate the highest common factor of i and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -346 in 2, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + -8 - -10 - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8764103 or 8764099?\nAnswer: 8764099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 19. Find the common denominator of ((-66)\/24)\/((-10)\/z) and (-933)\/(-330) - 4\/(-10).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 159?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 155*c**3 - 150*c**2.\nAnswer: -5*c**2*(c - 30)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2450359885.\nAnswer: 5, 359, 1365103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -s, -12*s = -14*s + 5*a + 10. Solve s = 589*p - 602*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89019 - 2980. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qenqnnqqnnqnn. Give prob of picking 1 e and 3 n.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2172211*b**3 + 0*b - 2172205*b**3 + 0*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2)*145*96\/(-960)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.155742? (a) 2 (b) 1\/61 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 14*r + 146501 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6))\/(2\/(-3)))\/(4530\/72480)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1615769.\nAnswer: 6463076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 9*g + 5. Let q be ((-14)\/21)\/((-4)\/234). Let f = q - 30. Let p be c(f). What is the third biggest value in -4\/5, 0, p?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 4436\nAnswer: -177.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.18, -0.018, 0.2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:20 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13170 + 8*g - 4*g - 2*g + 13077 + 3*g.\nAnswer: 5*g - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6278682713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((1 - 8) + (-19 - -26)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*r + 1 - 4 = 0, 3*i - 4*r = 8. Let b = i - 0. Let u be (1\/3)\/(b\/(-36)). Solve 4*p - s = 6, -2*p - u*s = -5*s - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*z + 118 = -158*z - 26 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.7 times 3529038\nAnswer: -23644554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*-2*3*2\/12. Suppose 4*p = -v*g + 49 + 707, 3*p - 5*g = 593. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 1 = -1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2780 + -2780.60499. What is m rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3976 and 4544.\nAnswer: 31808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 3 = -16*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4 - 91*b**3 + 3167*b**2 + 106923*b + 200466 = 0.\nAnswer: -111, -21, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42814 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 710024423 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-24\/11))\/o**(-3)*(o*o*o\/o**8*o)\/o*o*o**(6\/19) assuming o is positive.\nAnswer: o**(-390\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*l = -259*l - 81. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3851986?\nAnswer: 2, 1925993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 + 0 = 0. Solve -26 = -g*q - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 4*f**3 + 9*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74, -167, -328, -563, -878, -1279, -1772?\n\"Answer: -k**3 - 28*k**2 - 2*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15464627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*a - 4*p, 0 = -2*a + 2*p + 3*p + 48. Suppose -3*c + 40 = 4*b + 28, b - 2*c - 3 = 0. Solve 5*n + 2*o + 23 = 0, -b*n + 0*o - 5*o - a = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9057?\nAnswer: 3, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 10, 35 = -59*u + 50*u + 4*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(9\/5))**4)**(-27) assuming d is positive.\nAnswer: d**(-972\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 27 = u. Let r = u - 22. Suppose 5*q - 20 = -3*v, -q - 4*q - r*v + 20 = 0. Solve q*p + 3 = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 6*y + 1. What is the smallest common multiple of 3 and s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 671\/4. Let z = -493\/9 - -995\/18. Determine s so that 0 - w*s - 1\/4*s**3 + z*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from apagapjappaappaaamam?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(0 + 0 - 1)*(-3*u + 0*u + 4*u) in the form k*u + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(26)*3)\/(1*sqrt(50)) - ((sqrt(117) - (sqrt(117) + -2*sqrt(117) + sqrt(117)))*-3)\/(-2*sqrt(18)\/sqrt(2) - sqrt(9)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*h + 210*h - 34 = -2*j, -2*j = -14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177754 is divided by 404?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, -4512 in descending order.\nAnswer: 22, 2, -4512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75966 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9583 less than 0.031?\nAnswer: -1.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 - 1 + 2)*(-7*p**2 + 3*p**2 - 16*p**2) + (-1 + 5 - 3)*(-p**4 + 0*p**4 + 2*p**4).\nAnswer: -19*p**4 - 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 1682.63\nAnswer: -1682.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 - 111701*r**2\/4 - 1559667100*r - 3119222500.\nAnswer: -(r + 2)*(r + 111700)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/30 and (133\/(-60))\/(4095\/(-630)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-196))\/(64068\/261611).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 >= 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 112066 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 115*f + 3040 = 3496 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - 102 - (-25 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.81 in -9, 3\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 - n**4 - 7893543*n**3 + 2*n**2 - 71*n - 7092 wrt n.\nAnswer: -120*n**2 - 24*n - 47361258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2 + (-48)\/(-208)*-13\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*t + 0*t - 16 = 0, 3*u + 35 = 5*t. Let q(y) = -84*y**2 + 9*y - 10. Let k be q(u). What is k rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58954, -58952, -58950, -58948, -58946?\n\"Answer: 2*n - 58956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -10. Let q = 0.2 + 0.1. What is the closest to -0.1 in q, 4, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -7*p**5\/60 + 35*p**4\/12 + 7*p**3\/6 - 6*p**2 - 4. Let q be k(10). Solve 3*a + 6*d + q = 2*d, d = a - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -42*y**2 - y - 2. Let t(x) = 11*x. Determine t(q(b)).\nAnswer: -462*b**2 - 11*b - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1307\/11 - 119. Let a be 2\/(-4) + 57\/4. Let s = a + -14. What is the closest to t in -1, s, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43990.\nAnswer: 2, 5, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-1164)\/(-1746)*6\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195, -321, -445, -567, -687, -805, -921?\n\"Answer: r**2 - 129*r - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 + 110\/11 + 2 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktt. Give prob of sequence tt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2448)*1 + 2 + ((sqrt(510) + sqrt(510)*2)\/sqrt(10))\/(sqrt(27) - sqrt(243)).\nAnswer: 1 + 23*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1199397.1 to the nearest 100.\nAnswer: 1199400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2594\/14 + 5\/35*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = -494 + 1134 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttztzz. Give prob of picking 1 t and 3 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a - 2. Let t(s) = -7*s - 2*s**2 + 3*s**2 + 9*s + 10*s - 43. Let z be t(-15). Calculate b(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1619, 18, 1655, 3292, 4929?\n\"Answer: 1637*p - 3256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1526, 0.4?\nAnswer: -1526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y + 5*t - 65 = 0, -30 = -2*y - t. Calculate the remainder when 3 is divided by 1 + -2 + -13 + y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5 = 0, -3*x = -i + x + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -8. Suppose 0 = -k + 39 - f. What is the remainder when 9 is divided by 1\/4 - k\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h**3 - 2*h)*(-h**2 + 4*h**2 - 2*h**2) - h + h + h**5 + (8*h - h - h)*(-4*h**4 - 12*h**4 - 2*h**4) + h**5 + 0*h**2 + 0*h**2.\nAnswer: -108*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-103)\/(-3) - (-16)\/24. Let f = i + -29. Solve f = 2*j - 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/8*296\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.3784 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 410632*p + 10538664964.\nAnswer: 4*(p + 51329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 374\/12953 or -1?\nAnswer: 374\/12953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/3 - 19579*m**2\/3 - 2185702*m\/3 + 2205280\/3 = 0?\nAnswer: -112, 1, 19690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 16*l + l - 93*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 14 - 72 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - p - 8 = 0, 2*y + 3*p = 48 - 69 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -1 + 3\/2*c**4 - 2\/3*c**3 - c + c**2. Let j be t(1). Solve -4*x - 17 = -j*u, 5 = -0*u + 5*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30361099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 - -8661526\nAnswer: 8661548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110130211 + 201?\nAnswer: -110130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7343402 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 35 = 4*h - 5*l, 5*h - 3*l = 29. Let q = h + 1. Let 9*a**2 - 14*a**3 + a + 3*a**4 - 4*a + q*a**3 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2 - -3)*370\/10. Suppose -q = q + 22. Let d = q - c. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -6. Suppose 0 = -i - b*p + p + 87, -5 = -5*p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197.26 + 195. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -42408\/2953?\nAnswer: -42408\/2953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 5 (c) -3 (d) 1\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 3. Let c(a) = -1. Suppose 27 + 6 = -33*o. Let u be (2 + 1 + -2)*-4. Determine o*l(p) + u*c(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 less than 11996004.401787?\nAnswer: 11996001.901787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 358559081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 17. Let l(j) = 3017*j. Calculate s(l(o)).\nAnswer: -36409156*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.2, 50 in ascending order.\nAnswer: -0.2, 1\/4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 251685 and 19990980?\nAnswer: 139936860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -305, 0, 1 in decreasing order.\nAnswer: 2, 1, 0, -3, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**4\/4 + 3*c**3 - c**2 - 14*c - 2. Let t be l(-9). Solve t - 2 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 27. Let z be c(5). Sort z, -3, -4, -7 in increasing order.\nAnswer: -7, -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 - t**4\/3 + 5*t**3\/6 - t**2 + 5*t. Factor l(x).\nAnswer: (x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294737864 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = s + 2*s. Suppose 2*c = 5*t - s, 0 = c - 3*t + 4. Calculate the least common multiple of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -19 (b) 0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.2, -2\/5, 2\/11, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 5*b - 3. Let o be k(-6). Suppose 52 = 4*j + 5*i, -i = -o*j - 2*j + 36. Suppose -6 - j = -2*r. Solve -5*p = r + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:27 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 5*p**2 - 5. Let l be z(-1). Let x = -4.02 - -0.02. Which is the third smallest value? (a) 6 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1814*j**3*y - 423*j**3 - j**2*y - 2*j**2 - 8844376*j*y + y wrt j.\nAnswer: 10884*j*y - 2538*j - 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccocc. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 1064*u**2 - 47572*u + 264960.\nAnswer: -4*(u - 5)*(u + 64)*(u + 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -60*b**3 + b**2 - 2. Let m(k) = -241*k**3 + 5*k**2 - 9. Let n(d) = 2*m(d) - 9*v(d). Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2 - (5 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9669849mg to kilograms.\nAnswer: 0.0000009669849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let s(v) = 2990*v**2. Give s(u(t)).\nAnswer: 2990*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erfrrefr. Give prob of picking 1 f and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -4 (c) -107 (d) 313\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*a**3 - 74*a**3 + 310*a**3 - 78*a**3 - 82*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -13*o**2\/2 + o + 2092. Let a(r) = 25*r - 2. Give -6*a(b) - 11*m(b).\nAnswer: -7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3397, 3406, 3429, 3472, 3541, 3642, 3781, 3964?\nAnswer: 4197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -582*s**2 - 45 - 11*s + 2161*s**2 - 45 - 46 + 148 wrt s?\nAnswer: 3158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:28 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00150399754 rounded to seven decimal places?\nAnswer: 0.001504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 plus 1526.2?\nAnswer: 1525.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410511 (base 7) in base 5?\nAnswer: 4214012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90286011 to the nearest integer?\nAnswer: 9502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (35634\/(-15) - -3)*(27 + -32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -2 (b) -3 (c) -0.1 (d) 1 (e) 44\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**(-8)\/(s**(3\/7)*s*s\/(s\/(s*(s*s*s*s**(1\/2))\/s))) assuming s is positive.\nAnswer: s**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 76*s**3 + 5*s**2 + 24*s + 18. What is a(-1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 - 94*k - 307. Determine v(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329690983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*c - 1, 6 = -5*s + 3*c + 13. What is the third derivative of x**s + 6*x**6 + 0*x**2 - 3*x**6 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104500, -208960, -313422, -417886, -522352, -626820, -731290?\nAnswer: -835762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*p + 7232 + 3150 = 2687. What is the remainder when 887 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678809749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*x = x + 6, 0 = 3*y + 3*x. Suppose 5*j - 1 = l + 7, 2*l - y*j = 12. Solve 4 = k - 4*z, k - l = 6*k - 4*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/86268 and -37\/2044?\nAnswer: 6297564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*s = -15, -2*s = -4*g - 0*g + 10. Suppose 3*y = 0, -g*y + 2*y = -4*k + 28. What is the highest common factor of k and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 > -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 4*g + 26 = 0, 230*r = 232*r + g - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21e0 + 5?\nAnswer: -21db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 39. Calculate the highest common divisor of 130 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7 - 43*y - 11*y**2 + 6*y**2 - 20. Let q be u(-8). Solve 1 - q = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 17*n**2 - 6*n + 17. Let m(k) = -k**3 + 6*k**2 - 2*k + 6. Let b = 368 + -351. Determine b*m(w) - 6*d(w).\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*j + (-j + 0*j + 2*j)*(0 + 1 - 3) + j - 4*j + j - 3*j + 6*j + 0*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, -0.5, -0.1, 0.2, 2, -19735?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 + 3*p. Let l be w(-2). Suppose 4*g - 6*g = 3*z - 26, -z = -2*g + l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163451 is divided by 809.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5762722?\nAnswer: 2, 7, 557, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 109*w + 3310. Let d be z(-30). Solve -d*m = -28 - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 42 = -w. What is the remainder when w is divided by -6*2\/(-6) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 4*t**2 - 3. Let r be ((-18)\/(-15))\/((-2)\/5). Let p be u(r). Solve 2*o - 3*v + 15 = -3*o, -3*v + p = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4396\/2616*1 - 4. Let h = 3\/218 - u. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbhbhhhhvvhhsh. What is prob of sequence vhv?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i - 297 = 0. Suppose 5*r - i = 2*r. Suppose -5*h = -7 - r. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 12:37 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1611.073ml to litres.\nAnswer: 1.611073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5862*x + 6584*x + 68590 for x.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-8)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 9*o**2 + 11*o - 5. Let b be w(10). Suppose u = -9 + 9. Let z(x) = 2*x**2 + 4*x. Let k be z(-2). Solve k = i - u*i + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + p + 1706 - 5714, -w + 5*p = -981. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2635*h. Let v(q) = 9*q. Calculate y(v(n)).\nAnswer: -23715*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 55\/10)*10. Let m = z - -96. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - -3*-2*sqrt(171)) + sqrt(171) + sqrt(171))\/(-1*(sqrt(225) - sqrt(9))) - (3 + (sqrt(19) - (-4 + sqrt(19))) + -5 + 4))**2.\nAnswer: -9*sqrt(19) + 747\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.395386*0.1.\nAnswer: 0.3395386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27920 - 28262 = 19*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1985.42 + 1.9373\nAnswer: -1983.4827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:16 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232650321*l**4 - 2*l**2 + 5*l - 3334259 wrt l.\nAnswer: -5583607704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 323838311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + i = 4*i - 166, i = 4*a - 651. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**8\/3360 - y**6\/720 - y**3\/3 - y. Let j(d) be the second derivative of x(d). Factor j(w).\nAnswer: w**2*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.60662 plus 847?\nAnswer: 816.39338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 + 4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77.63 * -3.\nAnswer: -232.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - y)*(4*y - 2*y + 0*y)*(3*y - y - 4*y) + (-y - 3*y**2 + y)*(-415 - 184 + 852)*(2*y - 6*y + 3*y).\nAnswer: 767*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.98 - -0.02. Let z = 1.94 - t. Let m = z - -0.06. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-1 - -4))\/(-4 + 6). Suppose 2*z - 4*h - 238 = l, -h = 2*z - 3*h - 248. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c + 0*c + 20*c)*(69 + 56 - 74).\nAnswer: 2091*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 1697688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120 + 211202?\nAnswer: 201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, y: 1, z: 6, v: 4}. Give prob of picking 1 y and 1 b.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.084754, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.394327*-1027\nAnswer: -404.973829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.062 - -1.538. Sort 3\/4, k, -3, -4.\nAnswer: -4, -3, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/2755 + 176266\/74385. Let l be -9 - 8310\/21 - 2\/7. Find the common denominator of (-189)\/l - (-4)\/2 and k.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/32925193 and -111\/1736.\nAnswer: 263401544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3959*p - 3873*p + 7598*p.\nAnswer: -234*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105374909 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75837331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. Let v = 2.06 + -2.09. Which is the nearest to 0? (a) v (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 925 - 918. Solve o - 19 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4290140, 4290207, 4290274, 4290341, 4290408, 4290475?\n\"Answer: 67*n + 4290073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21035 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (1 - 2) + 6. Suppose s - 174 = 3*h - 4*h, -o*s = h - 168. Suppose g = 4*g - h. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 4*k)*(-k + k - 2*k**2) + 2*k**3 - 5*k**3 + 4*k**3 + 5*k**3 - 3*k**3 + 0*k**3 - 3*k**2 + 6*k**2 - 4*k**3 + 2*k**3.\nAnswer: -3*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Suppose -v - 8 = -2*v + 4*t, 4*v = a*t - 16. Is -6 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y**(1\/2)*(y\/y**2)**(-37))**(10\/7) assuming y is positive.\nAnswer: y**(325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8051 (base 11) in base 7?\nAnswer: -43131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.108 - -0.892. What is the closest to 2\/13 in -1, i, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 25*o - 3*o to l + w*o and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 624?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -1, -35, -87, -163?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 370 + 426 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-77)\/(-14))\/((-1)\/(-2)). Suppose -13*o = -r*o - 4. Suppose 49 = j - z - o*z, 0 = -4*z. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 59 + 4*q + 143 - 230.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1206914 or -5\/123?\nAnswer: -5\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1290 at least -1289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5\/7 - 1572*h**4\/7 + 14376*h**3\/7 - 5504*h**2 + 25728*h\/7 = 0.\nAnswer: -402, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15825, -63177, -142099, -252591, -394653, -568285, -773487?\n\"Answer: -15785*z**2 + 3*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/7)\/a)*a)\/(a\/(a*a**2\/a))*(a*a\/(a**1*a*a))**1 assuming a is positive.\nAnswer: a**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -1\/25*n**5 + 1\/15*n**3 + 1\/5*n**2 + 1\/105*n**7 + 5*n + 0 - 1\/15*n**4 + 1\/75*n**6. Factor v(b).\nAnswer: 2*(b - 1)**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s + 4. Let f(p) = p**3 + 10*p**2 + 9*p - 8. Let o be f(-9). Let x be ((-25)\/(-20))\/((-2)\/o). Give g(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 135744.6 years?\nAnswer: 135.7446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4*1*sqrt(245))**2 - sqrt(245)) + (sqrt(5) + sqrt(40)\/sqrt(8))*-4 + 3.\nAnswer: -15*sqrt(5) + 3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 33*z**2. Let u(t) = -10*t + 8. Let v be u(-4). Let a(f) = 44*f - 90*f + v*f. Determine a(d(q)).\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-38) - (-520)\/(-247))\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9*247\/39)\/(-1). Suppose 0 = -x - 53 - 2. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -63*i**5 + 2*i**3 - i**2 + 3. Let r(d) = -d**5 - d**3 - d**2. Let w(u) = -g(u) - 2*r(u). Find the third derivative of w(s) wrt s.\nAnswer: 3900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q + 3. Calculate k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*-2*5. Let s = 41 - 30. Let a = s + k. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118088419.\nAnswer: 1087, 108637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3986602, -7973212, -11959848, -15946522, -19933246, -23920032, -27906892, -31893838?\nAnswer: -35880882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*v**3 + 3*c + 2*v**3 + 22*v**2 - 27 wrt v.\nAnswer: 3*c*v**2 + 6*v**2 + 44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991715219 to the nearest integer?\nAnswer: 31492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 13*l = -k - 403, 3*l = -k - 241 + 148 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.290717 * 2.19\nAnswer: -0.63667023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-42)*a)\/a*a*a)\/a**(1\/4)*a**(1\/12)*a**23*a*a*a*a)**30 assuming a is positive.\nAnswer: a**(-395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95250991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 - 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -17*b + 1395. Suppose 0 = -114*q + b*q - 1050. Calculate the greatest common factor of q and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6721337 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 11) in base 5?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35772 and 8184?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2314 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -j + 12, -13*g = j - 16*g + 13. Determine y, given that -1\/4*y + 1\/4*y**j + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/6 + q. Let i(j) be the third derivative of -j**5\/12 - j**3 + 46*j**2 + 18. Calculate w(i(g)).\nAnswer: -5*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -302, -452, -602, -752?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 96, -0.4?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 - 6) + (11 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -164240 and -7.1724621.\nAnswer: -164247.1724621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63889, -129394, -194899, -260404, -325909?\nAnswer: -391414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**45)\/k*k**(-8\/13))**45 assuming k is positive.\nAnswer: k**(26550\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6360*d = i + 6357*d + 22, -i + d - 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -241, -371, -521, -697?\n\"Answer: -p**3 - p**2 - 106*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -109*a - 17. Let d(l) = 19*l + 4. Let g(x) = 2*b(x) + 11*d(x). What is g(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 10 = 2*k, -4*y - 14 = -2*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - k**3 + 17*k**2 - 30*k**2 + 0 - 3. Let g be d(-13). Suppose -4*q - 2 = -g. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -225434 times -0.8?\nAnswer: 180347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 243623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 59*o**4\/6 - 77*o**2\/2 - 2*o + 60. What is the first derivative of a(x) wrt x?\nAnswer: 236*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(4*4\/32). Let m = x + 38. Calculate the smallest common multiple of m and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 34*s**2 - 4758*s - 263. Give y(140).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5 + 8 + 35*v + 22 + 5 - 426*v**2 + 421*v**2 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10579 is divided by 5256.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1252.038 + -1252. Put -4, 3, a in decreasing order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74970381 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 226\/(-678) - 2\/3*-8. Solve r*s - 3*q - q = -37, 0 = -4*s + q - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8817 is divided by 1177.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 47 = 37. Suppose 18*a = -4*o + 17*a + 836, -2*o + 5*a + 440 = 0. Calculate the highest common divisor of o and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*x**2 + 4*g**3*x*z - 2*g**3 + 3*g**2*x**2*z + 14*g**2*x*z + 2*g*x**2*z wrt g.\nAnswer: -18*x**2 + 24*x*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -5\/17.\nAnswer: -5\/17, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 26616 = -445748. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l**3 - 3 + 3*l + 3.\nAnswer: -44*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 3*j + 7. Let k be o(6). Let f = -1 - k. Calculate the greatest common divisor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -433671*r**3*y**3 + r**3 + 221*r**2 + 52*r*y**3 wrt r.\nAnswer: -2602026*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 986058*i*s + 3799976*s wrt i.\nAnswer: 986058*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k + 156. Calculate h(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -859883*p**2 - 207394 with respect to p.\nAnswer: -1719766*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**22\/(q**3\/(q\/(q\/q**0)*q)))\/(q**3\/(q\/((q**(-3)\/q)\/q)))**46 assuming q is positive.\nAnswer: q**158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 - -636. Calculate the remainder when p is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahg when three letters picked without replacement from hhhjaaahejahhgraar?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 463, 690, 915, 1138?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1741 - -1741.5. What is the smallest value in n, -21, 1.5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319167307 to the nearest integer?\nAnswer: 17865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 5 + -3)\/((-12)\/(-1025772)). Let i = 20002519\/234 - h. Find the common denominator of i and -27\/14.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127446124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1313254 = -1313254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355191\/35 or -10148?\nAnswer: -355191\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1355 - 2569. What is the tens digit of i\/(-10) - 45\/(-75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 plus -1702.0454?\nAnswer: -1702.3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4) - (-868)\/(-336)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 705293 - 290058. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (20\/25 - 4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*a - 10*a. Let c(h) = -3047*h**2 - 8*h + 15. Let z be c(a). Let w be (3\/(27\/z))\/(3\/90). Round w to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22835434*j**3*u**2 + 8429*j**2*u - 2*j**2 - j*u - 17*u**2 wrt j?\nAnswer: 137012604*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8138b (base 14) in base 9?\nAnswer: 523274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 123444*j**2 + 987555*j\/4 - 246889\/2.\nAnswer: -(j - 1)**2*(j + 493778)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1005*n**2 - 5*n. Let y(j) = -2023*j**2 - 9*j. Calculate -11*m(r) + 6*y(r).\nAnswer: -1083*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -217907.\nAnswer: 871628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.43 - 0.56. Let j = d + 0.35. Let f = -0.21999923 + j. What is f rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13502 is divided by 6723.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -245 - 2?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*s - 8*s - 44, 0 = -5*u - 4*s + 64. Solve 3*j + u = 2*k, 3*k - 7 - 4 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2.2, -0.4, -345\/2 in decreasing order.\nAnswer: -0.2, -0.4, -2.2, -345\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2 + 4*w + 2 + 185274*w**2 - 12*w - 185268*w**2. Let n(d) = 11*d**2. Calculate h(n(l)).\nAnswer: 726*l**4 - 88*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7963803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*b + 35, 0*b + a = 4*b - 55. Let y(w) = -4*w - 4. Let h be y(-7). Suppose h = 3*z + 3*z. Solve b = -q - z*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 83. Let a(j) = 116632*j + 2. Calculate a(g(b)).\nAnswer: 349896*b**2 - 9680454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -6 (c) 12.8 (d) 2 (e) -0.2 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5943 + -5923. What is the smallest common multiple of p and 102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-22)\/3*((-100872)\/112 - (-6)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872.8 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 41421*m**2 - 82836*m**2 + 41416*m**2. Let a(n) = -3881*n - 2. Calculate a(s(i)).\nAnswer: -3881*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 - (4 - -1 - (8 - -11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1208*v**2. Let m(s) = -824*s. Give m(q(f)).\nAnswer: 995392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 2166*r - 41700. What is f(-413)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/2 - (-3)\/(-6). Suppose z*a - 6*r - 5 = -r, -3 = 2*a + 3*r. Suppose -s - 2*j = -0*s + 4, s + j + 1 = a. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**3 + 42*k**2 + 3*k + 17. Let t be w(-7). Put -1, 4, -11, t, -3 in decreasing order.\nAnswer: 4, -1, -3, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let q(s) be the third derivative of -s**5\/60 + 2*s**3\/3 - 2*s**2. Let b(c) be the first derivative of q(c). What is b(p(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 10) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -67\nAnswer: -5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105319 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -73, -111, -149, -187, -225?\n\"Answer: -38*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/24*3*(-4)\/(-21). Suppose -13 + 5 = -2*r. What is the third biggest value in x, 3, r, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 14*o + 4 = 0. Suppose -35 = -3*f + o*k, 5*f - 3*k + 7 - 47 = 0. Put 2, f, 1, -3 in decreasing order.\nAnswer: f, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/2 + 100725*b**3 - 3364067811*b**2\/2 - 298382099400*b - 13163222961504 = 0.\nAnswer: -88, 33663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2 - 2.8. Let y = q + -2.4. Which is the nearest to 0? (a) y (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/7))\/i)\/(i\/(i**(-5\/3)*i)))\/(i**(-2\/3))**(13\/5)*i*i*i\/(i\/(i*(i**(2\/17)*i*i)\/i*i*i))*i**(-6)*(i**(1\/4))**(-2\/69) assuming i is positive.\nAnswer: i**(-8921\/82110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 115 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 6, 32, 78, 150, 254?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -171 in 1, -0.3, 0.1, 5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 84. Suppose 0 = -540*y + 43070 - 9050. Calculate the highest common factor of o and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -0.064722 in ascending order.\nAnswer: -3, -1, -0.064722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + 6*f + 18. Let c be p(-3). Suppose -3*i - 6 - 3 = c, -976 = -2*x - 4*i. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 2, b: 3, n: 4, k: 6}. What is prob of sequence cb?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305279547 - 305279674.0000186. Let a = l + 127. What is a rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 10) to base 16.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33780, -58205, -82630, -107055?\nAnswer: -131480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316 + 16710*y - 16710*y + 97*y**4 - y**3 with respect to y.\nAnswer: 388*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (459 - 393) + 34 + 1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/1 - (-2 + 0). Let v = d + 45. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-3 + 33 + 0). What are the prime factors of -15*(0 + g\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470998?\nAnswer: 2, 11, 79, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/18 and 87\/(-2)*(-11)\/(-33).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -18 and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wweweeaa?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -12991.2101 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/2))**(-11\/5) assuming w is positive.\nAnswer: w**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:50 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - t + 35. Let a(u) = u**2 - 9*u - 16. Let z be a(8). Let r = -24 - z. Let g be h(r). Calculate the highest common factor of g and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8698*l - 26091. Give g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 669120 - 1885*b**2 - 669120 - b to r*b + y*b**2 + z and give y.\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 75 = 5*r. Let u be (r\/(-10))\/((-6)\/(-8)). Suppose u*g + 12 - 222 = 0. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2502)\/834*(-4)\/5256*4.\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/10 - z**4\/12 - z**3\/6 - z**2 + 287. Suppose -3*t = -3*w - 6, -2*w + w - 1 = -2*t. Give m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 13) to base 11\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 1. Let o(v) = -7. Give o(u) - 4*p(u).\nAnswer: 4*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 49*o + 80. Calculate n(-28).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 51. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*j - 4 = 0, 17 = w + 17*j - 12*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/4)\/(4\/(-40)). Let w be (-1880)\/m + 6\/27. Let f(l) = -l**3 + 6*l**2 + 5*l - 2. Let p be f(6). Calculate the highest common divisor of w and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o - 129. Let g be y(-17). Solve 10 = -12*z + g*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10577, -10579, -10581?\nAnswer: -10583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1485 - 873. Calculate the highest common factor of 136 and i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -132376*x + 2250379. What is k(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let i(t) = -4*t**2. Let s(k) = -i(k) - 5*q(k). Let u(n) = -3*n**2. Calculate u(s(h)).\nAnswer: -243*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -97, -158, -217, -274, -329?\n\"Answer: z**2 - 66*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 4)*(-2)\/6. Let y(c) = 10*c**2. Suppose 5*k - 5*n = -55, -4*k - 29*n = -27*n + 14. Let j(z) = z**2. Determine k*j(w) + u*y(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024808494 rounded to 7 dps?\nAnswer: -0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 1}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/7)*m*m*m**(-1\/11))\/(m**(23\/4))**(-33\/2))**(27\/2) assuming m is positive.\nAnswer: m**(1607337\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(sqrt(3) + 0 + sqrt(3)))**2 - (sqrt(192) + sqrt(192) + (sqrt(192)*2 + -4 + sqrt(192))**2).\nAnswer: -1632 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*-6)\/(-5*sqrt(20)\/sqrt(5)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4272 and -322.76.\nAnswer: -321.3328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002610342 to 5 decimal places.\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-7)\/5)*(5 + -6)\/((-4)\/(-300))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w**5\/11 - 30*w**4\/11 + 32*w**3\/11 - 6*w**2\/11 - 4*w\/11 = 0. Calculate w.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 7*i**2 - 8*i - 7. Let v be k(-6). Suppose 5*f = -v*j + 50, -f - j = -2*j - 2. Suppose 15400000 = -f*g + 4*g. Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -42. What is the remainder when 73\/2 - (-25)\/50 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - r - 1. Let t(p) = 7*p**3 - p**2 + 7*p + 85. Let h(c) = 6*f(c) + t(c). Let v(s) = s + 2. Let o be v(-2). Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28021*s - 21843?\nAnswer: -28021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -137?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 5*x + 16. Let j be t(5). Let r = 340 + -164. What is the highest common divisor of r and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 5*f + 3 - 3. Let h(p) be the first derivative of -5*p**3\/3 - 2. What is a(h(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/8 - 3*v**2\/2 - 2. Let y(o) be the second derivative of i(o). Let r(h) = 2*h**2. What is y(r(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 479 - 405. Let z = -74.000219 + k. What is z rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 + w**3 - 10*w**2 + 12*w**2 - 1 in the form j*w**3 + o + f*w + z*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:18 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*j = 15, -190 = -w + 5*j - 211 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -464.5559 plus 36?\nAnswer: -428.5559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -6*u + 3*c - 12 + 1, 0 = -3*u + 13*c + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from mxxxxxixixciiiivmc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 29*c + 107. Is h(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k - 24. Let s = -13 - k. Let t = 8 - 6. Sort t, s, -3 in decreasing order.\nAnswer: t, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 72\/(-10)*34400\/4128.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -388 and -104?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 greater than or equal to 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377316 - 24360*d**2 - 377316.\nAnswer: -24360*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9303 + 48.3642?\nAnswer: 9351.3642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 287819+-0.4\nAnswer: 287818.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 28*n + 844. Let f = -172 - n. What is the remainder when f is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015838639 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 49. Let y(c) = 35*c**2 + 2*c. Let v be y(2). Calculate the greatest common divisor of v and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 - 111. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 353820?\nAnswer: -13\/353820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*4\/6. Calculate the highest common divisor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (4 - 74)\/5. Let c be 42\/x + 2\/4. What is the remainder when 57 is divided by (-2)\/(c*2\/60)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - i**2 - 4*i - 3. Suppose 3 = -2*x - 3, 5*g + 2*x = 24. Suppose -g = -0*y + 3*y. Does 11 divide a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 246 + -247. Which is the closest to 0.1? (a) 14 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:47 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4216352 and 980.\nAnswer: 21081760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let b be u(4). Suppose -3*l + 142 = -2*x, 5*l + b*x + 0*x = 244. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 357?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 2 + 2 + 2*x**2.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -8, -33 in ascending order.\nAnswer: -33, -8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 12.594?\nAnswer: -12.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -302, -435?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/((-15)\/1341))\/((-9)\/(-6)). Let x = -99 - k. What are the prime factors of x?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 100*f**3 + 8*f**2 - 62*f + 50. What are the prime factors of a(6)?\nAnswer: 2, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + 1*sqrt(126))\/sqrt(6)*-6)\/(sqrt(108) + -2*sqrt(108) + sqrt(108) - (sqrt(9)*2)\/sqrt(3)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/12 - 5*c**3\/6 - 4*c**2 + 33*c. Let m be h(7). Suppose 0 = -m*t - 724 + 1810. What are the prime factors of t?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.857257 kilometers to millimeters.\nAnswer: 2857257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(84\/9)*(-2)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 91 - 7 = 0. Is 4\/14 + 687\/r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/7, 4, -4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 5. Let g be k(10). Suppose 2*f = -2*j - 26, 3*j - 7 + 66 = -g*f. Let o = f + 10. Solve -2*q = -o*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)*6 + sqrt(76) + sqrt(76) + sqrt(76)*-1*-3)\/(4*(4*sqrt(144) - sqrt(4))).\nAnswer: -7*sqrt(19)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2. Let k(u) be the third derivative of u**5\/3 + u**3 + u**2 - 6. Let d(j) = -21*j**2 - 8. Let t(g) = 3*d(g) + 4*k(g). What is t(i(f))?\nAnswer: 153*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26730)\/605 - -67) + (-23 - 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1892 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 412 + -215. What are the prime factors of r?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533552*b**4 - 679562*b**2 wrt b?\nAnswer: 12805248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.53.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s**2 - 17*s + 2. Let r be y(3). Which is smaller: -165 or r?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 10:47 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**8\/280 - w**6\/45 + 3*w**3 - 5. Let v(p) be the third derivative of l(p). What is the third derivative of v(x) wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1287 and 78973.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 smaller than 589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntt when three letters picked without replacement from {n: 11, t: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10114 and 4836?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2 - 2)*(-4780*b + 1226*b + 1071*b) - 3*b**2 - 2*b + 2*b.\nAnswer: -4969*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 60. Let u = i + 44. Suppose 4*m - x = -6*x - 46, m + 4*x + 17 = 0. Sort m, u, -1 in ascending order.\nAnswer: m, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2969021, 2969261, 2969501, 2969741, 2969981?\n\"Answer: 240*h + 2968781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146\/19 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, -1.\nAnswer: -2, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44613.\nAnswer: 3, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5282*y - 30401 - 24467 = -2196*y + 12434 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 - 49465*a**2 + 49*a**3 + 115*a**3 + 49465*a**2 + a.\nAnswer: 143*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -28. Let o(c) = -7*c**4 + 4*c**2 - 8*c. Let z(s) = 7*s**4 - 3*s**2 + 8*s. Let u(b) = y*z(b) - 3*o(b). What is the second derivative of u(g) wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 246*m**2 - 20 - 228*m**2 + 18*m + 14*m + 20*m**3. Let i(n) = -7*n**3 - 6*n**2 - 11*n + 7. Let t(k) = -6*a(k) - 17*i(k). What is t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337.930037133 - -337.93. What is z rounded to 7 decimal places?\nAnswer: -0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by -1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7971 is divided by 1586?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 + -2.87.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*a = 1830*a - 29112 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29545 * 2.6.\nAnswer: -0.76817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*0\/2. Let y(m) = 5*m + 73. Let f be y(-15). Sort f, q, 3 in decreasing order.\nAnswer: 3, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 145*h - 140*h + m, 0 = -3*h + m + 18 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13221.1 millilitres to litres.\nAnswer: 13.2211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(99) + -1)*4 - (-2 + sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1))))**2.\nAnswer: -2*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 3937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s + 9 - 1 - s + 2*s. Let l be f(-5). Suppose -2*z - 4 = -4*z. Solve l*m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 - 1. Let i(a) = 4*a**3 - 3*a + 4. Let h(o) = -2*i(o) + 10*u(o). Factor h(f).\nAnswer: 2*(f - 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -117 + 327. Let u = -33 + x. Find the second derivative of -4*k + 4*k - u*k - 6*k**4 wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 6*c - 108. Let b(m) = 16*m + 174. Let h be b(-10). Let k be i(h). Solve -2*z + 4 + k = 0, 2*l + 8 = z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359883810 a multiple of 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 293.5237kg?\nAnswer: 293523700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -523, -766, -991, -1192, -1363, -1498?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*g**4*p + 4*f*g**3*p**3 + 95*f*g**3 + f*g**2*p**3 + f*g**2*p**2 - 2*f*g + 5*f*p wrt g.\nAnswer: -48*f*g*p + 24*f*p**3 + 570*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 66, 91, 100, 87, 46, -29?\n\"Answer: -i**3 + i**2 + 39*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -163?\nAnswer: 7\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13519 or -13516?\nAnswer: -13516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0, -0.3, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 10076?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -59.59. Let g = o - -23.41. Let w = 24.078 - g. Round w to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 352*m**2 + 339*m + 4339. Calculate k(351).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {x: 2, j: 4, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*t = 4, -4*u + 22*t = 19*t + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1601271.812 to the nearest one thousand.\nAnswer: 1601000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-10)\/75)\/(4\/(-10)). Sort 21, 5, u in decreasing order.\nAnswer: 21, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**7\/70 - 191*v**4\/24 + 97*v**3\/2 + 4*v**2 - 20*v. What is the first derivative of a(n) wrt n?\nAnswer: 12*n**3 - 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 26864*v**2 + 7 + 1.\nAnswer: 26864*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjclncncjn. What is prob of picking 1 c and 1 j?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 2*b. Let z(j) = -3*j**2 - 3*j. Give -5*s(v) + 4*z(v).\nAnswer: 8*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011200100 (base 3) to base 16.\nAnswer: 30e31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Suppose 0 = -3*g - 16 + 37. Let r(k) = 4*k - 23. Let a be r(g). Solve -4 - d = -a*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 11*w**6\/30 + 2*w**4\/3 + 7*w + 9. What is the third derivative of q(a) wrt a?\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**2 - 768*f. Let g(u) = 2098*u. Calculate g(d(z)).\nAnswer: 14686*z**2 - 1611264*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x - 30*x = 200 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q - 32. List the prime factors of x(17).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/27 - 35\/108. Let t = 14.5 + -15. Sort -4, o, t in decreasing order.\nAnswer: o, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.06 (c) -1 (d) -77\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*((-8)\/4 + 1). Let u = 49 - 49. Solve u = 4*p - n - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 345, 518, 707, 918, 1157, 1430?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**7\/2520 - u**6\/360 - u**5\/120 + u**4\/12 + 2*u**2. Let c(j) be the second derivative of g(j). Give c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487.9 - 2227.8. Let v = w - -1834. Let f = -88 + v. Round f to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Let f(d) = -d**3 + 3*d**2 + 6*d - 6. Let t be f(v). Solve 2*k + w + 5 = 0, -3*w + 25 = t*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 6:11 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 133*s + 448. Let u be d(-3). Which is greater: 36 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110719\/297621 + -46\/4077. Let u = 2\/73 - x. Is u bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90\/435509 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.71 + -138.49. What is u rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 175, 353, 613, 961?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3677 + -5?\nAnswer: -3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 28*x**2 + 2242*x - 6767. Calculate l(-83).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 34*c - 415. What is g(-39)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 255*l**3 - 6*l**2 - 2*l - 14. Let h(r) = -1021*r**3 + 22*r**2 + 7*r + 53. Calculate 4*h(k) + 15*m(k).\nAnswer: -259*k**3 - 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - t + 21098 = 0, 14*f - 4*t = 17*f - 12652. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4 - 0) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1041585 and 2.\nAnswer: -1041583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2232 + 1339 = r, 0 = 3*r - 3*h - 10713. What are the prime factors of r?\nAnswer: 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 + 46 = 0. Suppose -3*a - 54 = -3*o, -o + 5*a + q = -0*o. Calculate the greatest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4275 take away 24595480576?\nAnswer: -24595484851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfk when three letters picked without replacement from {k: 1, f: 2, j: 1, v: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37, -125, -271, -475, -737?\n\"Answer: -29*g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210*a + 96*a - 347*a - 326*a**2 wrt a?\nAnswer: -652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*j**2*n**2 + 345*j**2 + 15*j*n**2 + 10*n**2 - 20 wrt n?\nAnswer: 70*j**2*n + 30*j*n + 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -10. Let o = -10 + l. Let p be 0 - (0 + 1)\/(-1). Is p equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3722 - -3143. Is i < -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 + 1)*(-26 - -25). Is 1\/153 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 61069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 233 + 87 + 70 + 76.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157597 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 27*y**2 - 173*y + 7. Determine i(6).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 + 173*i - 2577. Determine w(14).\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = -30. Let x = 13 + -31. Let f be -2 - -1 - x\/16. Which is the closest to -1? (a) j (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*(-2 - -5))\/((-24)\/(-1440)). Suppose 15*g + y = 45*g. Calculate the lowest common multiple of g and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -66 + (386 - 337).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-18))\/((-26)\/(-858)*22).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:43 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, s: 4, q: 5, r: 1}. What is prob of picking 1 g and 3 s?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*a**2*o**2 - 110*a*o**2 + 3*a*o wrt a.\nAnswer: 392*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*u + 8786 = 0, -3*h + u - 3278 = 5502. Which is bigger: -2\/7 or h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3218 = -8049. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-488)\/56) + -9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(2\/3))\/(z**(-1)\/z)*((z*z*z*z**2*z)\/z)\/z**(1\/3)*z*z*z**(-4)*z*z**(-1\/3)*(z\/(z*z**2))\/z*z\/z**(-5) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pphchchphpchcc. What is prob of sequence cc?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 - 3*v**2 + 2*v - 1. Let o(i) = i - 2. Let z be o(4). List the prime factors of p(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from jlnjbllynppp?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2305200*l*u**2 - 2*l*u + 7006369*u**2 wrt l?\nAnswer: 2305200*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1050)*1)\/((sqrt(6) + (-4*(sqrt(6)*1 + sqrt(6)) - sqrt(6)))*-5).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -321*i**5 - 836*i wrt i?\nAnswer: -6420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.28006 rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544008*v - 8*v**2 + 1088024*v - 544016*v.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s. Let i be h(0). Suppose 0 = 3*o + 4*o - 21. Factor 0 + i*r**2 + 0*r**4 + 2\/9*r - 4\/9*r**o + 2\/9*r**5.\nAnswer: 2*r*(r - 1)**2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -78, -89, -80, -51, -2, 67?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46956*w = -46958*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 4*t + 3. Let x(s) = 4*s**2 + 5*s + 4. Let p(o) = 5*l(o) - 4*x(o). Suppose -5 = -5*z, 4*f + 180*z = 178*z - 6. What is p(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9039559g to milligrams.\nAnswer: 903.9559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2285*c**2 - 210395*c - 16100.\nAnswer: -5*(c + 92)*(457*c + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -5*-4*sqrt(11) - (4 + sqrt(99) - sqrt(11)))**2*-6.\nAnswer: -29202 - 1008*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -36. Let x be 157\/((-5)\/n*-5). Let p = x - 98. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 67 - (-35459 - -35317).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16514 - 5525. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:23 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose b = -3*p - 0*p + 90. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21091.07 years?\nAnswer: 210.9107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 338481 = 128*z + 38*z. Calculate the greatest common factor of z and 2104.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(19)*4 + (sqrt(19) - (sqrt(114)\/sqrt(6) + -1))**2 + 6*(sqrt(1900)*-2 - sqrt(1900))**2*5.\nAnswer: -24*sqrt(19) + 513001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 2595*o**2 + 2*o. Let p(b) = -2*b**3 + 6*b**2 - b. What is 2*p(g) + 2*v(g)?\nAnswer: 2*g**3 - 5178*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10213 - 141?\nAnswer: 10062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-18)*-938 - (292\/36 - 8) is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -19. Let w(o) = -o**2 - o + 9. Give w(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 11:37 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.29781 minutes to microseconds.\nAnswer: 5477868600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 6*b - 1. Let h = 0 - 3. Suppose -5*d + 39 + 37 = 4*j, -40 = -4*j + 4*d. Calculate the smallest common multiple of j and l(h).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5852.021t to milligrams.\nAnswer: 5852021000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, 3, -2\/25, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/30 - 14*l**5\/15 - 31*l**4\/6 - 32*l**3\/3 - 349*l**2. Let d(u) = 0. What is u?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394742.\nAnswer: 2, 197371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -6.738, 3\/4, 2, -4\/3 in descending order.\nAnswer: 2, 3\/4, -1, -4\/3, -2, -6.738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001100001100100 + 10?\nAnswer: -110000001100001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 489386958 to the power of 1\/2, to the nearest integer?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*199996\nAnswer: -39999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1027*k**3 + 20*k**2*u + 5*k*u - 3131640*u wrt k?\nAnswer: 3081*k**2 + 40*k*u + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157831?\nAnswer: 157831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -73*g**2 + 5*g + 5. Let d(x) = 3212*x**2 - 219*x - 219. Determine -5*d(k) - 219*z(k).\nAnswer: -73*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 3?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470260, 470251, 470234, 470209, 470176?\nAnswer: 470135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 25 + 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + l - 1 = 3*l, -5*w + l + 17 = 0. Let m(k) = -k + 0*k - k**w + 0*k + 8*k - 6*k**2. Calculate m(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:55 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-12))\/(2 + 4232\/(-2136)). Let n = 11817\/2660 - k. Suppose -4*o - 1 = -5*o. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003458975191 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 - 8*q**3 + 184*q**2 - 192*q - 1152 = 0. What is q?\nAnswer: -12, -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/715)\/(2\/12).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/48*3*(-1 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 0.3, 1, 0.2, -2\/9 in decreasing order.\nAnswer: 1, 0.3, 0.2, -2\/9, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4338478 < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 times 7?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 0*v = 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2373.4 + 2373. Which is the second smallest value? (a) 118 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 4. Let s(g) = g - 1. Suppose -y = -3, -5*d - 5*y + 30 = -10*d. Let l be (30\/(-20))\/(0 + d\/4). Calculate l*a(f) + 9*s(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7176 by -598.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*o - 145*o = -18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2875304256 to the nearest integer?\nAnswer: 53622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**4 + w**3 - w - 1. Let t(j) = -7*j**4 - 4*j**3 + 2*j**2 - j + 3. Let m(y) = -3*d(y) - t(y). Find the third derivative of m(z) wrt z.\nAnswer: 96*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 2*g - 26, -g = -4. Suppose -o = b - 5. Let m be ((-1)\/6)\/(2\/b). Calculate the highest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 2:41 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-548)\/14)\/(100\/5) and -61\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175334 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164870290.\nAnswer: 2, 5, 13, 1268233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -10, 218 in ascending order.\nAnswer: -10, -2, 5, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999556959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161108191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (52 + -215 + 83).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1500 and 16.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -4)*(3 - (-12)\/(-8)). Let i(r) = -2*r**2 + 4*r - 1. Let f(x) = 5*x**2 - 9*x + 3. Calculate z*f(d) - 7*i(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {s: 10, d: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -460 times -5\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -33. Let q be 6 + (-100)\/i - 70\/(-24). Solve -4\/3*w**3 + q + 4*w + 0*w**2 = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 8*p + 6. Let v be t(8). Let y(m) = m**3 + m + 2 - v + 0 - 2*m**2. Calculate the smallest common multiple of 8 and y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5 + 2301*b**4 + 18346*b**3 + 4506*b**2 - 183515*b - 171975 = 0.\nAnswer: -2293, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 48. Suppose -5*n - 4*m - 171 = 0, -2*n + m = -0*m + l. Let f be 28\/n*5\/2. Let p(i) = 2*i + 1. Give p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(75) + -2*(sqrt(75) + -1) + 2).\nAnswer: -20*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:29 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107674 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -395 - 100. Let b = -496 - j. Is 126 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 2123 - 6742 = 0. Calculate the remainder when c is divided by 59.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197743, -790889, -1779435, -3163381, -4942727, -7117473, -9687619?\nAnswer: -12653165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*s - 5*g, s + g = -s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*u - 2, -g + 5*u + 16 = 2*g. Let t be (-1)\/g - (-27)\/6. Let j = t + 5. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 0.08. Let w = -0.2 - z. Which is the third biggest value? (a) 1 (b) 5\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48018)\/(-27) - (-24)\/(-18). Let p = u - 1770. Determine g, given that 16\/9 - 44\/9*g**2 + p*g - 4*g**3 = 0.\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suia when four letters picked without replacement from uiufiuihhuhais.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 8*o + 9*o in the form q + i*o and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023864 times -0.4?\nAnswer: 0.0095456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(7 + -3)*(1 + -2). Suppose -j*m + 3*m = -410. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 3. Let i(x) = 5*x - 5. What is -6*i(c) + 14*r(c)?\nAnswer: -2*c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = -8*j - 2, -3*j + 5*f + 135 - 86 = -18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -1eaaad?\nAnswer: -1eaaac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 89)*(20 + 224\/(-14)) is divided by 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-124)*(-8)\/286. Let c = h - 554161\/26598. Find the common denominator of c and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24116715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14)*(-11 - -18). Sort 5, v, 0 in increasing order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7808b (base 14) to base 4.\nAnswer: -1013002223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*i + 3 - 11, -4*i = 2*r - 38. What is the remainder when 42 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b + 6. Let j be 3\/(-1) - (-11 + 5). Suppose -4*n = -p - j*n - 4, 2*p + 4*n = 22. Let d be h(p). Calculate the highest common divisor of d and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 3*w - 84 + 70.\nAnswer: 4*w - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**5\/3 - 50296*m**4\/3 - 117408*m**3 - 553592*m**2\/3 + 352220*m\/3 + 201296 = 0. What is m?\nAnswer: -4, -3, -1, 1, 12581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a factor of 312984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Which is smaller: j or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2050\/(-22) + ((-190)\/(-1254))\/1*12\/10.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 349 - 211. Let b = z + -136. Put b, -7, 5, -4 in descending order.\nAnswer: 5, b, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9717*k**2 + 4865*k**2 + 4873*k**2.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020002896 to seven decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5492507?\nAnswer: 5492507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.45 times -58.85?\nAnswer: 10030.9825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*u - 11, -x - 7 = 10*u - 7*u. Let t(b) be the first derivative of -1\/2*b**2 - x*b + 11. What is t(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*l = 5, 2*l - 3 = -2*o - l. Suppose o = -0*s - 2*s + 6. Solve s*m - 7*m = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:57 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5105 is divided by 2483.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1190, -1230, -1312, -1448, -1650, -1930?\n\"Answer: -2*x**3 - 9*x**2 + x - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, a: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -164 and -0.2.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/6 - g**3\/6 - g**2 + g. Let y be z(-3). Let a = -7 - y. Solve 0 = 5*b - f - 4*f + a, 2*b = -2*f + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = l + 1, -2*z + 2*l = -0*l - 2. Suppose 0 = -5*a + 4*k + 59, 0 = -2*k - z + 8. Solve -o + 0 = -4*c - a, 0 = 4*o - 5*c - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 7453*u**8\/336 - u**5\/20 + u**4\/8 + 8*u**3 + 4253*u**2 - 2. Find the third derivative of k(p) wrt p.\nAnswer: 447180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(17) + 1 - sqrt(17) - ((sqrt(153)*2)\/sqrt(9) - sqrt(17))) + 5 + -6*((sqrt(17) - sqrt(68)) + sqrt(17)))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(147\/(-36)) + 234\/(-819)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953732.1 minutes in days?\nAnswer: 4828.980625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18160 and -73\/15280.\nAnswer: 3468560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 4. Suppose -5*d + 13 = -z + 2*z, 11 = 5*z - w*d. Which is smaller: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 - -80. Solve -j = -d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*b - b - 18 = 0, h - 39*b - 1127 = -1198 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s - 13*s = -11*s + 19*s + 516 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3005 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 6482?\nAnswer: 6481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -2*(sqrt(95) - sqrt(95)*2) + sqrt(95) + 1*((sqrt(95) - sqrt(95)*1) + sqrt(95)))\/(sqrt(5) + sqrt(55)\/(sqrt(33)\/sqrt(3)) - sqrt(90)\/sqrt(2)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -796*z + 792*z - 90*z**3 + 4*z**2 + 1 + 89*z**3. Suppose 4*x + 0*o = -2*o + 10, 0 = 4*x + o - 11. What is r(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b89 - 5?\nAnswer: 1b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2410, -2408, -2406, -2404?\n\"Answer: 2*z - 2412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmi when three letters picked without replacement from {m: 1, i: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.06 + 0.06. Let n = -1625 + 1642.044. Let q = n + f. Round q to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 20 = -42*k + 41*k, 3*z + 40 = 5*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(9\/5)*c*c*c*c)\/c*c*c)\/c)**(-4)\/(c*(((c**(-23)\/c)\/c*c)\/c)\/c*c)**(-3) assuming c is positive.\nAnswer: c**(-476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.837 - -0.95. Let y = 0.1308 - u. Round y to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 9*g - 8. Let y be m(-5). What is the greatest common factor of y and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxssssxxxxsxxsxxsss. Give prob of picking 2 x.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 406 and 5452?\nAnswer: 5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -10\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqzqzwqqwwz. What is prob of picking 1 q and 1 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**7\/105 - a**6\/10 + 31*a**3\/6 + 37*a. Let j(m) be the second derivative of q(m). Find the third derivative of j(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305 + 98*z - 162*z + 0 + 48 + 81*z to r*z + i and give i.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (7 + 1 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 115. Let p be s(18). Is 23 a factor of p\/(-49)*-7*943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5713 and 1682?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + 7*s**2. Let l(z) = z**2. Let u(o) = i(o) - 6*l(o). List the prime factors of u(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 + -314 - (1 + (4 - -6)) - 3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -736 + 322. Let h = -999 - j. Let l = 585.00379 + h. What is l rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 33*x**2 - 78*x + 62. What is the units digit of p(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3746 and 266786374.\nAnswer: 3746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402963?\nAnswer: 167, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f - 1. Let d(s) = 4*s**3 + s**2. Let b be d(1). Suppose 0 = -18*j + 23*j + b. Let h(q) = q. Give j*c(l) + 6*h(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*c = -216*c - 367*c - 13156 - 20891 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.66 + 10.46. Let l = 0.4 - 5.2. Let k = l + t. What is the closest to -0.1 in -1\/3, -5, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.607124 nanometers to micrometers.\nAnswer: 0.002607124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 35*h**3 + 4*h**2 + 9*h - 46. Calculate b(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 18c85?\nAnswer: -18c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46908 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 27*b = -3*j - 422726, -2*b - 2*j = -169116. What are the prime factors of b?\nAnswer: 2, 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y + 132. Let h be d(0). Calculate the highest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/10 + 3\/2. Let g(r) = 5100001*r - 4. Let w(i) = -15300003*i + 13. Let v(t) = -7*g(t) - 2*w(t). Let z be v(l). Round z to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4873996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38a0 - 119?\nAnswer: -3a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*q**3 + 0)*(6 - 4 - 4)*(-3*q + 2*q**2 + 3*q).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 - 20)*(3*k + k - 5*k)*(-2*k + 0*k - 7*k**2 + 0*k).\nAnswer: -189*k**3 - 54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgcgjmd. Give prob of sequence jgjc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5114202 by 25.\nAnswer: -5114202\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 19*l**2 - 14*l - 106. Give d(17).\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*j**2 + 222*j**2 - 520*j**2 + 236*j**2.\nAnswer: -1061*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:00 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23817 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*v + v. Let k(p) = 8*p - 10. Let i(l) be the third derivative of -l**4\/24 + l**3\/6 + 15*l**2. Give v*i(s) - k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 19 + (-31 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57852?\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30289770, 30289762, 30289754, 30289746, 30289738?\n\"Answer: -8*k + 30289778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/140)\/(3\/15) - -1. Solve -o = 5*s + q - 1, -5*o - 10 = -5*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 + k**2 - 7*k**2)*(-3*k + 3*k - 3*k) to d*k + m*k**2 + u + s*k**3 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3. Let i be g(2). Let b = i + -17. Calculate the remainder when 39 is divided by ((-10)\/3)\/(b\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9491, 8999, 8507?\nAnswer: 8015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 7*g - 4*g)*(-59 - 2*g - 4*g + 58).\nAnswer: 48*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.06? (a) 0.4 (b) -0.5 (c) 3229 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose -3*a = -4*y, 0 = 3*y - 3*a + q. Suppose 5*r - 304 = -y*h, 269 = 3*h - r - r. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3967166331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 132.49.\nAnswer: 148.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllo when four letters picked without replacement from {l: 13, o: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/16 + (-18)\/(-4). Suppose y + t - 5 = j, -5*t + 25 = y. Suppose 5*b - 5*m = y, -3*m - 4 = -7*m. Solve 0 + b = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -16.2.\nAnswer: -16.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 650 + 3910 = 0. Let u = -475 + v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5528 divided by -1382.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1 + 0*c**3 - c**3 - 6*c**3. Let r be t(-1). Let g(q) = 5 + 1180*q + 1 - 1181*q. What is g(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4640 and -127\/2640?\nAnswer: 153120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.08 - 96.13. Let p = 72 + f. Let o = -0.09 - p. Which is the second biggest value? (a) o (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:30 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(700))**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 900 + 1843 - 952.\nAnswer: 12*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((396\/45)\/4 + -2). Suppose 7*p - 5 = 6*p. Solve -2 = 5*b + p*y - 37, b = 3*y - h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5378365 to the nearest integer?\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3617 - -3979. Calculate the remainder when r is divided by 126.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 118, 127, 150, 193, 262, 363?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0284, 14, 0.4 in increasing order.\nAnswer: -0.0284, 0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 160537743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7483.089 hours to nanoseconds.\nAnswer: 26939120400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -129. Is x greater than 2\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -4212?\nAnswer: 4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915269846?\nAnswer: 2, 3, 7, 23, 1982681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24254076347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007 * 0.0456.\nAnswer: -0.0003192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 8*f - 6. Let x be q(-6). Let m(r) = r + x*r - r. Let n(z) = z + 3. Let g(t) = -2*t - 5. Let d(h) = -3*g(h) - 5*n(h). Give d(m(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 79157468 + 79157468.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8) - 120\/(-16). What is the greatest common factor of c and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38868480 or -38868472?\nAnswer: -38868480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28655?\nAnswer: 5, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 - -309.21. What is the nearest to o in -0.1, -4\/7, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*f - 10 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 3*o. Let a = -866 - -861. Let f(t) = 2*t**2 - 3*t. Calculate a*f(j) + 6*g(j).\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 111 (b) -5 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 48*z + 28. Let k be g(-8). Let j = -220 - k. Let b = j - -275. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 4*j**2 + 5*j - 6. Let c be p(3). Suppose -2*r = 3*a - 66, -3*r + c*a = -2*a - 112. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 9. Suppose 4*h + 25 = 3*q + 2*q, w = q + 3*h. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -30, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018447431.\nAnswer: 3, 3889, 87293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2113*t**3 + 3231*t?\nAnswer: 12678*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14495000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**4\/28 - 50*m**3\/21 - 39*m**2\/2 + 1108. Factor k(i).\nAnswer: i*(i - 21)*(3*i + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 244038120 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 198, 185, 172?\n\"Answer: -13*s + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 35. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 27*b + 26. Let q be r(-14). Suppose -q = -4*w - 12. Let c = w - -22. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2592587\/6 + -432094. Determine o so that -35\/6*o - 3\/2 + 1\/2*o**3 - t*o**2 = 0.\nAnswer: -1, -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 1. Let n(p) = p**3 - 7*p**2 + 12*p - 9. Suppose -19*v + 20 = -15*v. Let m be n(v). What is the greatest common divisor of r and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let x(r) = 2*r**2 + 1. Let v(b) = 1 - b**2 + 1 - 3. Let k(m) = -3*v(m) - x(m). Let q(z) be the first derivative of k(z). Determine q(i(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from mbbmbbbnbbnmmbbmmm?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l**(-3\/2)*l)\/(l\/l**6*l**(5\/3)))\/((l*l**(-2)*l)\/l*l**(-2\/9)*l*l**(-2\/5)\/(l\/l**(-6))) assuming l is positive.\nAnswer: l**(671\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12*((-39)\/(-91))\/((-6)\/(-7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -5*g**2 - 3*g + 2787. Give m(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4198748 or -4198745?\nAnswer: -4198748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, -2752 in ascending order.\nAnswer: -2752, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + 471 + -474 - (5 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15721*x. Let d(p) = -2*p. Give d(l(g)).\nAnswer: -31442*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 609 = -l - 2*l, 2*r - 812 = 4*l. Let h = -807\/4 - l. Let p(q) = -135*q + 1756. Let u be p(13). Which is the biggest value? (a) h (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11130023133 - -3333?\nAnswer: -11130013200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 45*l - 382. Let x be w(-11). Let b(m) = -m**3 - 8*m**2 - 7*m - 8. Determine b(x).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2943060 is divided by 986.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y, -5*y - 19 = -37*p + 36*p. Calculate the remainder when p is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 - 12*l + 11. What are the prime factors of b(-6)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -27*h. Let k(f) = 173*f. Calculate y(k(i)).\nAnswer: -4671*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.933002 micrograms to milligrams.\nAnswer: 0.007933002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-17))\/f**(3\/11) assuming f is positive.\nAnswer: f**(195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*z = j + 8, 0 = j - 4*z + 13. Let x(s) = -24*s**2 - s - 2. Let b be x(j). Is 10 a factor of ((-90)\/b)\/(6\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 - 7*j. Let a(o) = -11*o**2 + 20*o. Let c = 7 - 13. Determine c*a(p) - 17*g(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0 - g**2 + 2 - 3. Let d(i) = 6*i + 5. Let c(y) = 9*y + 8. Let w(h) = 5*c(h) - 8*d(h). Give m(w(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - 7.14. Let h = -7.3 - s. Put -4\/7, 1, h in increasing order.\nAnswer: -4\/7, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -0*x. Suppose 5*s + m + 11 = 0, m = -3*s - x - 4. Does 7 divide 10*7*s\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v**3 + 9*v**2 - 3*v - 5. Let s(o) = -4*o**3 - 2*o**2 + o + 1. What is -2*f(p) - 9*s(p)?\nAnswer: 2*p**3 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (62 + -10 + -2 - 9) - (1 - -6).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4909, -4907, -4919, -4957, -5033, -5159?\n\"Answer: -2*j**3 + 5*j**2 + j - 4913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120120762?\nAnswer: 2, 3, 167, 119881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -14 (c) 2\/11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40173619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28134*d - 35 = -5*t - 28130*d, 2*t + 32 = -3*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/24 - -5)\/(2\/40). Let d = c - 23. Solve -d*n + 5*y = y, -2*n = 3*y - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Suppose -3*v = -8 + 44. Let c = 18 + v. Is x not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 73, 79, 71, 43, -11, -97?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(5\/(-25)*(-495)\/(-22))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -111672*b + 334955. Give q(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -780, -3126, -7052, -12570, -19692, -28430, -38796?\nAnswer: -50802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 63 + 3*g**2 - 63 + (4 + 4*g - 4)*(-27*g - 8 + 9 + 70*g).\nAnswer: 175*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -303?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 6*k + 5. Let x(a) = a**3 - a**2 + a - 6. Let d be x(0). Let n be v(d). Let b(g) = -2*g - 5*g + n*g. Let z(u) = -u. Determine z(b(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 = 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*x = 364*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15b + 1c08?\nAnswer: 1d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40\/1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23319497.\nAnswer: 181, 128837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -0.586?\nAnswer: -10.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 7287184790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/30 and 52\/41620965.\nAnswer: 83241930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005901 rounded to 7 dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 720278?\nAnswer: 720271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 356337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 164 - 64. Let b = q + 98. Sort 2, b, 145 in descending order.\nAnswer: 145, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/8*(-9)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 + 13*h - 9. Let n(d) = -3*d**2 + 1. Let o be n(1). Let r(m) = 2*m**2 + 3*m - 2. What is o*x(l) + 9*r(l)?\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-3)\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 578\/(-2346) - ((-5)\/(-3) + -2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) 0.7 (c) 0.134 (d) 8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 2. Which is the nearest to 1? (a) -3 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*34\nAnswer: 37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmqm when four letters picked without replacement from pmukkmkqqom?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -3 (c) 23 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4, -l = 7*q - 2*q + 43. List the prime factors of ((-30)\/q)\/((-354)\/90 + 4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23973.\nAnswer: 3, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(-2\/17)*m))\/(m*m\/(((m\/m**5)\/m)\/m*m)))\/(m**(1\/14)*m**(-2\/11)) assuming m is positive.\nAnswer: m**(-18345\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 7:41 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2 - 3*r. Let l(h) = -120*h**2 - 32*h. Calculate -3*l(d) + 32*v(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -3*l + 25. Suppose -3*v + 15*k + 206 = 11*k, 214 = 3*v + 4*k. Calculate the highest common divisor of v and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*q**2 + 97*q\/2 + 1\/2.\nAnswer: -(q - 1)*(98*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92909?\nAnswer: 53, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 42. Suppose -351 = -5*s - b + 145, 4*s - 3*b - 393 = 0. Calculate the remainder when q(0) is divided by (-2 - 1)\/((-27)\/s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -19 + 33 + -20 + 9. Let t(h) be the first derivative of 0*h**2 - 15 + 0*h**v + 1\/12*h**4 + 3\/10*h**5 + 0*h. Factor t(f).\nAnswer: f**3*(9*f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/9 - 4*m**3\/3 - 22*m**2\/9 + 40*m\/3 + 200\/9 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 122952486 take away 51.272?\nAnswer: 122952434.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2499045 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1632, -114, 3, 2\/3?\nAnswer: -1632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2979*y**2\/5 + 360507*y\/5 - 5808\/5.\nAnswer: -3*(y - 121)*(993*y - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2484\/162)\/(((-2)\/(-12))\/((-12)\/48)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 880*d + 2. Let w be m(-3). Let r = w + 1738. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5*j**4\/24 - 35*j**3\/4 - 115*j**2\/2 + 121*j + 1. Find h, given that w(h) = 0.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771083 is divided by 942767?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116 - 0) + 2 + (11 - 24 - 8 - -25).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-6)\/9)\/(1\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 57*b + 48. Let f(x) = -x**2 + 3*x - 6. Determine 3*f(y) + p(y).\nAnswer: y**2 + 66*y + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32382328?\nAnswer: 2, 11, 29, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + 252?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17946 + 17957. What is the closest to -1 in 1, g, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-1)*h*h)*h)*h*h*h**(-1\/7)*h)\/(h**(2\/7))**(-7)*(h**4*h\/(h\/((h*h**3)\/h)))**(11\/3) assuming h is positive.\nAnswer: h**(641\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.83 (b) -9 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (2 + sqrt(63))) + 4.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 (base 10) in base 14?\nAnswer: 33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10900 + -163498\/15. Factor 2\/15*n + 4\/15*n**2 - 4\/15 - j*n**3.\nAnswer: -2*(n - 2)*(n - 1)*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992 = -227*h + 3262 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/7 - 472*r**2\/7 - 5876*r\/7 - 5408\/7 = 0. Calculate r.\nAnswer: -104, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221121201 + -22010201?\nAnswer: -20020202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3042.6 - -13957.4. Let j = l + -17170.29. Let z = j - -171. Round z to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21955, 87872, 197735, 351544?\n\"Answer: 21973*z**2 - 2*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 11*t**2 - 6*t - 15. Let i be k(-6). Suppose -24*g = -5*g - i. Suppose 11 + 5 = 4*c. Solve 0 = -4*h + g*h + c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-3)*(-6 + 5). Suppose 0 = 5*d - c*k - 25, 3*d + 20 = -0*d - 4*k. Solve -3*v - 2*n = 3, d = -2*v + n + 4*n - 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 20. Let h(q) be the second derivative of q**5\/20 - 5*q**4\/12 + 7*q**2\/2 - 255*q. Calculate h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 2*d. Let c(q) = -q. Determine 6*c(t) - 3*l(t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/231 and 79\/441.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 15*p**2 + 15*p - 11. Let r be z(-16). Suppose 0 = -2*k + 3*k - r*b - 32, 5*b + 158 = 4*k. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 32706?\nAnswer: 327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.20212592 - 0.79786788. Let y = -77 - m. What is y rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 c when three letters picked without replacement from vhycf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 539*c + 85 + 148 - 17 wrt c.\nAnswer: 539","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-75)*((-324)\/(-144))\/(-1)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 40 + 11 = -3*v, 2*y + 4*v = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*d = 772, -3*p + 0*d = 2*d - 1147. Suppose 0*s + 3*s = p. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + z**5 - 4*z**2 + 2\/3*z**4 - 4*z - 10\/3*z**3. Factor v(h).\nAnswer: 4*(h - 1)*(h + 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147076450 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103052683 to the power of 1\/2, to the nearest integer?\nAnswer: 10151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 5*q + q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -2 + -25 + (-282 - -304)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80264 + -11323?\nAnswer: -91587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*z - 51528964 + 24581189 - 37548185. What is z rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97711122 to the nearest integer?\nAnswer: 9885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g + 2 = 0, -79 = -5*n - 3*g. Suppose 3*w + 2*t = 64, 2*w - 67 + n = -5*t. Let f = 2 - 2. Solve f*s - w = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u - 5*u**2 + 0 + 1\/5*u**5 + 1\/6*u**4 + 0*u**3. What is the second derivative of n(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 63, -4, 4, -3 in decreasing order.\nAnswer: 63, 4, 0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 44 = -2*d, -4*d - s + 118 - 20 = 0. Calculate the least common multiple of d and 44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Let j(a) = -1. Let y(b) = -2*b**2 + 90*b + 94. Let l be y(46). Suppose 0*m - 3*m - 16 = -5*d, 11 = l*m + d. Give m*z(k) - 4*j(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*c - 5. Put -3, c, -1\/43, 2\/7 in decreasing order.\nAnswer: c, 2\/7, -1\/43, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30160 + -0.5.\nAnswer: -30160.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -825367 greater than -825124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1985638 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3044\/13 - 234. Let q = -59 - -60. Sort c, -2, q.\nAnswer: -2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67286057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s + s - 2*s**2 + 3*s**2 + 3*s**3. Let g be x(-1). Let n = 67 + -64. Which is the second biggest value? (a) n (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70 - 75 + 154*a - 133*a + (0*a - a - a)*(-1 + 2 + 0).\nAnswer: 19*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 + (-10)\/35. Suppose 3 + f = q - 4*x, 5*q - 4*x - 15 = 0. Solve 0 = -q*g - r + 7, 2*g - 4*r = 4*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**3*q**3 + 4*j**3*q**2 - 2*j**3*r - 2*j*q**3*r + 2*j*q**2*r - j*q**2 + 42*j*r wrt j?\nAnswer: 48*j*q**3 + 24*j*q**2 - 12*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1836\/510*-2*(-5)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70.6 + -69.3. Let k(r) = r**3 + 18*r**2 - 37*r + 48. Let h be k(-20). Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-130)\/6. Suppose -2*k = -k - f. Suppose 2*p - 54 = -4*t, 5*t + 4*p = -0*p + 75. What is the remainder when k is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4204514 + 0?\nAnswer: -4204514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587589781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:17 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 1, u: 4}. Give prob of sequence ffp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469842 is divided by 956.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53.00594 millennia?\nAnswer: 5300.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13482210 divided by -1635.\nAnswer: -8246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = 12*h + 29 + 103 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-624)\/328)*((-14)\/70 - (-18)\/(-60)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 282.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/408*4*272\/16)\/((-1)\/(-5)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 14743?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*36\/(-1440))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s - 10. Let i = 1\/5 + -7\/10. What is the nearest to i in s, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18394827 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/73 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Let b(r) = -r**2 - 6*r + 16. Let z be b(-8). Solve -5*i - 6 - x = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 8*a - 8, -2*z - 968 = 3*a - 929 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*u - 179*u = 364281. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -14, 3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 16 = 0. Let y = -231 - -259. Suppose 64 = y*g - 20*g. What is the remainder when g is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 12, i: 1}. What is prob of sequence mi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**5\/20 - 5*y**4\/4 - 13*y**3\/6 + 13*y**2\/2 - 2*y - 159. Let t be a(-14). Sort -1\/4, 116, t in descending order.\nAnswer: 116, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/240768 and 123\/9363200.\nAnswer: 84268800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27267000 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3000, 2994, 2988, 2982?\n\"Answer: -6*b + 3006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1041*o**4 + 9*o**3*q**2 + 6*o*q + 277*q**2 wrt o.\nAnswer: -12492*o**2 + 54*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*5*1 - sqrt(104))\/sqrt(8).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 + 7. Which is bigger: -6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1295.5338 and 0.11?\nAnswer: 1295.6438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 - 2.89. Let u = -0.02 - a. What is u rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 17, -4, -10, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d**2 + 3*d - 5. Calculate o(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 21*t**2 - 18*t + 45. What is f(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, h: 3}. What is prob of sequence yh?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m - m**2 + 6*m)*(119*m - 59*m - 58*m + 7*m**3 - 7).\nAnswer: -7*m**5 - 2*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 59358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 14 = -4*y + 10*u, -2*y = 5*u + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.08626mg to micrograms.\nAnswer: 85086.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1145, -1564, -1983, -2402, -2821, -3240?\nAnswer: -3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 + 336. Suppose 12*x - 15*x = -h. Calculate the highest common divisor of x and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 133. Suppose 0 = 10*v - c*v - 84. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 39 - 2 + 8*r - r**2 + 7*r + r - 3. Give c(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x + x)*(0 + 0 + 1)*(-5 + 10 + 1).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126, -254, -374, -480, -566, -626, -654, -644?\n\"Answer: b**3 - 2*b**2 - 129*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**13*h\/(h**10*h)*h)**(-15))**(-9))**(1\/48) assuming h is positive.\nAnswer: h**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3112701042 - 3.107.\nAnswer: -3112701045.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d - 973 - 1937. Let y = 199 + d. Suppose -4*s = s. Solve j - y = -s*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712*x**2 + 15 + 6016*x**2 - 6 - x**3 - x**3 + 9.\nAnswer: -2*x**3 + 5304*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = -a, -a + 5*a = 2*k - 92. Let l = a + 115. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.2. Let m = 141 + -127. Suppose 0 = m*i - 11*i. What is the second smallest value in i, z, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -1, 0.3, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u - 7. Let w be a(-5). Suppose 4*x + x + w = l, 5*l - 2*x = 188. Let k = l + 45. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 25 = 0. Let m be 1060\/(-34)*391\/(-46). What is the greatest common divisor of a and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {p: 2, c: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 + 2) - 4. Let o(q) be the first derivative of -8*q - 1 - 1\/2*q**2. Calculate o(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 544 - 93. Let m = -95 - l. Find the common denominator of (-3*4\/m)\/(228\/21375) and -43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -15697\nAnswer: -160\/15697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 165440?\nAnswer: -165454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 16. Let r = -3 - z. Does 21 divide r\/9 - 392\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 2*t + 4. Let y(u) = -u**3 + 7*u**2 + 13*u + 45. Let b be y(9). Suppose -2*l = -b*r + 4*r - 4, r = -5*l - 17. What is p(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 2*p. Let y be (-1 - 0\/p)*-3. Determine j, given that 3 + 0 + 2*j**2 - 2*j**3 - 2 + 3*j - j**5 - y*j**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 - 4*s**2 - 27*s - 23. Let d be o(-6). Calculate the smallest common multiple of 9 and 24\/(-2)*d\/44.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91850912513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-32))\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -56853.7 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144562.\nAnswer: 2, 11, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**9\/90720 + j**8\/15120 - j**7\/2520 + 139*j**5\/30 + 214*j**2. Let t(x) be the third derivative of l(x). Factor t(h).\nAnswer: 2*h*(h - 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boooooobboobbo. Give prob of sequence ob.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.5739 to the nearest integer.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1. Let y be d(-1). Suppose 8 = 4*s + 4*r, -y*s + 3*r + 20 = -10. Suppose s*h - 32 = 2*h. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-25\/6)\/((m\/m**(-2))\/m)**20)\/((m**(-1)*m)**(4\/7)\/(m**(4\/9)\/(m**(3\/7)*m))) assuming m is positive.\nAnswer: m**(-5339\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*i - 50 = -8*w, 2*i = 4. Suppose 2*z - w = -0*z. Suppose 0*j = j - z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 22*z - 12. Does 6 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/4335 and -1\/1440.\nAnswer: 416160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/5 + 16*a**2\/25 + 6*a\/25 = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*i - 201 = -0*l - 12*i - 0*i + 6*i, 5*i + 5 = 0 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -x, 0 = 2*x - 1 + 5. Let z = 6.7 + -5.8. Let j = z - 0.7. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179273298 + 179273299.49999942. Let l = 1.5 - r. What is l rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 - 148631*p + 594548. Calculate g(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 26 = -3*j, -2*j = 3*h + 12 - 29. Calculate the greatest common divisor of 259 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(18\/(-7)*504\/108)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 - 435\/(-21). Suppose 0 = -3*m - 12, 5*y - p - 8 = m. Let c be 6\/(-18)*(-1)\/1. What is the closest to 1 in c, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 2635198309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*f*m**2*v*y + 2*f*v*y + 58*f*y + 2*f - 30838*m**2*y + 5*m*v*y + 202*v*y + v - 5*y + 1 with respect to m.\nAnswer: 18*f*m*v*y - 61676*m*y + 5*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -31*l + 17. Suppose 5*a + 44 = -6*a. What is the tens digit of t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 - 14*j - 4. Calculate the lowest common multiple of 2\/(-3)*(-29 - 1) and p(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 - 1.4. Suppose -100 - 24 = -120*c + 116. Put b, 1\/68, 4, c in decreasing order.\nAnswer: 4, b, c, 1\/68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15954*n**2. Let a(r) = 10*r. Determine a(l(b)).\nAnswer: -159540*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 33537*r + 22 - 6 + 26 - 33209*r as a + b*r and give b.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 7*o**5\/20 - 3*o**4\/8 - 16*o**2. Factor k(d).\nAnswer: 3*d*(7*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 2, k: 2, c: 1}. Give prob of sequence ks.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 28 - 4. Let a be (-8)\/h + (-121)\/3. Is (1 + 2 - a)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(432) + sqrt(432) + sqrt(432) + 1 + 5 + 0 + sqrt(432))**2 + (5*(sqrt(147) + -3*sqrt(147))*1)**2 + 4.\nAnswer: 432*sqrt(3) + 16513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 71. Suppose -5*m + 2*a = -41, 0 = -5*m - l*m - 4*a + 23. Solve -s = m - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*v**2 - 4\/3*v + 0 = 0 for v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*u = 4, 2 = -2*v + 2*u - 5*u. Let c(h) = 2*h - 1. Let q(x) = -11*x + 18056 + 3*x - 18052. What is v*q(p) - 18*c(p)?\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:54 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5284 - 52751\/10. Let m = -786302993\/18 + 43698045. Let k = m - 14541. What is the common denominator of v and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*2 - sqrt(4032))\/((sqrt(20)*3)\/sqrt(5)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**3)\/y)**(1\/28) assuming y is positive.\nAnswer: y**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w**3 + 0*w + 7*w**2 - 1\/6*w**4 + 0. Let a(o) = 2*o**2 + o**2 - 5*o**2. Calculate a(t(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*o + 23, 5*n = 148*o - 149*o - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 46?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23042054 - -302?\nAnswer: -23041352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -6?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3*p. Suppose p = -3*z - 0*z + 222. Factor 6*o**3 + 3*o - o**5 + 74 + 8*o**2 - z.\nAnswer: -o*(o - 3)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.849 + -0.151. Which is the nearest to -1\/3? (a) -1.3 (b) -9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:24 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-281)\/(-3) - 28\/42. Let w = c - -397. Let z be w\/25 - 2\/(-5). What is the highest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - (-26)\/(-6). Let r = -4.4 - -0.4. Let u = r - -5. Which is the closest to 1\/3? (a) u (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 10*b + 20. Calculate l(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**3 + 12*s**2 + 12*s - 68. Let b(g) = -4*g**3 - 5*g**2 - 6*g + 38. What is 9*b(j) + 5*i(j)?\nAnswer: -j**3 + 15*j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + p. Let b(y) = 7*y**3 + y**2 + 3*y. Let z(i) = 2*b(i) - 5*v(i). Calculate z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010000111 (base 2) to base 11.\nAnswer: -5114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 2 - 1 - 8. Let f be a(-6). Suppose -2*s + 5*g = -40, 3*s - 241 = -3*g - 244. What is the highest common factor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -390*11\/(-55)*5\/2 is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -7 + -2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.164 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -809*y**2 + 459*y + 5. Let v(j) = 21*j**2 + j - 1. Let w(o) = c(o) + 3*v(o). Find the second derivative of w(s) wrt s.\nAnswer: -1492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 0*i**3 - i**3 + (-i + 0*i + 4*i)*(-i**2 + i**2 - i**2) - 5*i**3 + 0*i**3 - 3*i**3)*(-7 + 3 + 2)*(0 - 2 + 4)*(-2*i + 0 + 0).\nAnswer: -80*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/((-2)\/(-36)). Let b = 29 - g. Suppose -b*j - 9 = -s - 1, 8 = -3*s - j. Let m(n) = -3*n + 1. Determine m(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233400 - 13003?\nAnswer: 220342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(6*a**2 + 0*a**2 + 0*a**2) - 2*a**2 + 3*a**2 + a**2.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 60*p + 10523. Is 20 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073214 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvgbgvgvyyuugebbeey. What is prob of picking 1 v and 2 b?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269683.7l to millilitres.\nAnswer: 269683700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 34*x**3 + 15*x**2 - 67*x - 5. Let z be c(4). Suppose z = -8*v + 567. Which is greater: -198 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4400368, 4400364, 4400360, 4400356?\n\"Answer: -4*d + 4400372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*x - 26*x + 21*x.\nAnswer: 299*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -38, -17, 24, 91, 190, 327?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -317699?\nAnswer: 1270796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 1 + 1 - 3)*(3*a + 51*a + 0*a).\nAnswer: 54*a**2 - 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 4, 9, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391284 less than 35628.02?\nAnswer: -3355655.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -80, 19, 119, 3, -13 in ascending order.\nAnswer: -80, -13, 3, 5, 19, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 13*o**3 + o**3 - 12*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3838 + -3834. Solve -31 = -2*v + l*n - 21, 5 = -2*v + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1141\/1683 - -62\/153. What is the second smallest value in 0.103, n, 3\/8?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-207*w + 2 + 0 + 210*w)*(-w + 31*w - w).\nAnswer: 87*w**2 + 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 - 124904*k - 98666655 = 0. What is k?\nAnswer: -124109, -795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**5)**18\/(z**(-1\/3)*z\/z**(14\/3)) assuming z is positive.\nAnswer: z**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**2\/2 + 7*w - 23. Let y be p(3). Suppose 7*t = y*t + 6. Solve -3*l = -d - 0 - 1, t*l - 3 = 3*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/4)\/(3\/132). Let o = 12 - d. Suppose o = z - 2*s, z - 17 = -3*z - 5*s. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -16*w. Let g(k) = 7*k**2. Give b(g(x)).\nAnswer: -112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 10. Let m(b) = 3*b**3 - 5*b**3 + b**3 + 4*b + 5*b**2 - 2 + 2*b. Determine m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 6*m - 2. Calculate h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 35*z**2 - 5213*z - 288. Determine p(149).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzlw when four letters picked without replacement from nllnnwizlfwlznfll.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-3 - -4 - -1). Solve -3*z = z - d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15667*p - 31731*p + 4 + 15884*p.\nAnswer: -180*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1356819 (b) 0.8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 229631 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f - 27. Let c be a(-3). Suppose t = 5*d + 901, 5*d + 3261 - 518 = c*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 - 191105*k**3 - 26465580*k**2 + 53695620*k = 0. Calculate k.\nAnswer: -38082, -141, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -138388 - -10?\nAnswer: -138378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17561?\nAnswer: 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccvxyyycyvyxyvvy. Give prob of picking 2 y and 1 x.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*h + 398636 - 42*h + 87*h.\nAnswer: h + 398636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -4.9. Let r = -22.95 - 0.05. Let p = r - -19. What is the second biggest value in p, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 22*y**6\/5 + y**5\/30 - 5107*y**4\/24 + 1704*y**2. What is the second derivative of j(q) wrt q?\nAnswer: 3168*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) 2 (c) -2\/9 (d) -0.2 (e) -1.47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/60*-54*(-2)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b**2 - 4*b - 4. Give s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13480799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 28*k**2 - 48*k + 560. Determine i(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 96*h**2 - 56*h - 2. Calculate the remainder when m(2) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r**2 - 525*r + 263. Let m(s) = -190*s**2 + 6300*s - 3155. Let w(t) = -35*f(t) - 3*m(t). Solve w(j) = 0 for j.\nAnswer: 1\/2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162600 and 24900.\nAnswer: 13495800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163925903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - 5503 = -3*b + 12*b - 6547 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2627595*l**2 - 5255185*l + 10.\nAnswer: -5*(l + 2)*(525519*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167166 divided by 27861.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 5, -3, -44, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10135528.\nAnswer: 2, 13, 41, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from {e: 1, o: 6, k: 7}.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 305273 and -945?\nAnswer: 306218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 463818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v + 14. Let m be (-2)\/(-4) - (-2 - 1)\/(-6). What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7570 is divided by 756.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2\/5 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 + 9*h + 9. Let f = 92 - 89. Let q(p) = -54 - 3*p**f + 2*p**3 - 2*p + 52. Give -18*q(n) - 4*s(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1323 (b) -0.3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -259, -387, -515?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 15. Let q be b(-16). Let o be (q - 2)\/(-9 - (2 - 10)). Suppose o*i - 1064 = -i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -3*o**2 + 5*o + 37601\/4*o**4 - 4\/3*o**3 + 3. Let l be x(5). What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.058, -944, 0.3?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/16 + 461*a**3\/8 + 345*a**2\/2 - 3*a - 39. Determine i, given that p(i) = 0.\nAnswer: -460, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*l - 99*l - 45. Let y be -1 - -2 - 2\/(-2). Solve y*q + 6 = l*w, 4*w + 2*q + 3*q + 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 15*u**2 + 20*u - 67. What is the units digit of o(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 24 = t. Let p(l) = l**2 + 4*l - 7. Let m be p(t). Let f(z) = 3*z - 7. What is the units digit of f(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 7*d**2 - d - 2. Let i = -7 - 0. Let x be z(i). Let a be 22 - x - (0 + 2). Solve 0 = -2*u + 5*o - a, -u = 4*o - 0 - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:50 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442078376 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 187181772 divided by 2\nAnswer: 93590886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18\/61, 1\/8, 4\/3, 1 in descending order.\nAnswer: 4\/3, 1, 18\/61, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (3 - (5 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 13402.\nAnswer: 562884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -795*g - 599 wrt g?\nAnswer: -795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3438798 is divided by 859687?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/4*(-36)\/(-441))\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 18498*p + 18496*p = 8, c = -3*p + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 - v - 11. Let k(s) = 2*s**2 - 2*s + 12. Let c(o) = -4*a(o) - 5*k(o). Factor c(n).\nAnswer: 2*(n - 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -66855834?\nAnswer: 66855835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*b - 5*n - 10, -3*b = -4*n + 7. Let u(t) = -t**2 - t**2 + b*t**2. Let q(r) be the third derivative of -r**4\/12 + 5*r**2. Calculate u(q(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 539*p**2 - 1 - 541*p**2 + 1 - 15*p**3 + 2*p wrt p.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1788 + -73297\/41. Is 0 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 2\/57 (c) 0.4 (d) 239 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2326956 - -549160621\/236. Let b = v + -2\/59. Find the common denominator of b and 32\/53.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22473773, 22473781, 22473789?\n\"Answer: 8*l + 22473765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8 + 8. Suppose -i = 9*u - 26. Determine j so that 2\/7 + 2\/7*j**u - 4\/7*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14136536 is divided by 7068268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**3)**(5\/4)\/(l\/l**16*l*l*l**9\/l))**15 assuming l is positive.\nAnswer: l**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4938542*d**3 + 1505332 wrt d?\nAnswer: 14815626*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16384.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*w = 70, -w - 6 = 2*w. Suppose -2*s + 8 = k, -k = -4*k. Suppose s*n = 4*d + 48, 0*n - n + i = -5*d. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5577\/13)\/((-6)\/(-100))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 365*s**2*u + 646*s**2 wrt u.\nAnswer: 365*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 - 6*u - 17. Let y be ((-2 + -8)\/(-20))\/((-1)\/(-16)). Let k(b) = 2*b**2 + 2*b + 6. Give y*k(v) + 3*x(v).\nAnswer: -2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9568 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -45ba?\nAnswer: -45b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/348 and -7 - 2 - (993\/(-108) - 0).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 16*g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 173\/(-865)*(-5)\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18541923 < -18541963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + (-2247)\/6420. What is the closest to 2 in -1\/2, 1, -10, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-3)\/(-6) - 0). Suppose h*g = 3*g. Suppose g*m = m - 2. What is the third biggest value in -0.1, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -8*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27649281*w - 27232623 wrt w?\nAnswer: -27649281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwiakbk. What is prob of picking 1 i, 1 w, and 1 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21939*t**4 - 671*t**3 + 17119897*t**2 - 2*t?\nAnswer: -526536*t - 4026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -22 - 11. Suppose u = k*u - 1330. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + 11*n + 5. Let d(o) = -3*o**2 + 47*o - 6. Calculate the smallest common multiple of q(-2) and d(15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h + 81. Let b be t(7). Let p(x) = -x**2 + x + 5. Determine p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:15 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**6\/2 - 3*b**5\/5 - 27*b**4\/4 + 13*b**3 + 12*b**2 - 36*b - 2275. Find d such that m(d) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/14445 and 103\/121338.\nAnswer: 606690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*k + 183 = -94*k. Let d = -81 - -179. Let a = d + k. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*v + 62*v**4 - 101*v + (0 + 0 - 2*v**2)*(2*v**2 - 2*v**2 - v**2) - v**2 + 2*v**4 + v**2.\nAnswer: 66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*l - 33 = -24, -w + 3*l + 7 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2716 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476\/21 - 1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-1440)\/16)*(-10)\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 10*h - 3. Suppose 4*x + 3*f + f = 32, 4*x + 5*f = 29. What is y(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - m + 6, 18 = 3*q - 3*m. Suppose -q*j + 4 = -2*s - 14, 16 = s + 4*j. Is (1\/s)\/(3\/(-1524)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4936138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(1\/((-5)\/15)*142\/(-355)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7401121 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170 + 185. Let y be -2*(-1 - 1)\/(-4). Let n = y - -4. Solve 2*d + n*d + s = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k. Let o be r(-3). Let h be -1 - (o\/18)\/(-1). Let w = -320 + 2557\/8. Which is the nearest to 0.1? (a) -0.1 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 2, v: 5, l: 4, c: 4}. Give prob of picking 2 m and 1 l.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 - 2*s + 168 - 62 + 1543*s**2 as z + u*s + l*s**2 and give l.\nAnswer: 1543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/6 - 3*a**2\/2 + a. Let k(l) = -1. Let q(v) = 2*v + 43. Let s be q(-19). Calculate s*k(w) - 2*b(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 2*w + 2*d, d - 1928 = 2*w - 2123. Calculate the remainder when 592 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4718842?\nAnswer: 2, 103, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 - -17) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 197521023471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h - 13*h - 5*h**2 - 5*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, 44, 206\/13 in descending order.\nAnswer: 44, 206\/13, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88729, 177452, 266173, 354892, 443609, 532324?\n\"Answer: -i**2 + 88726*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2006329, -4012661, -6018991, -8025319, -10031645?\n\"Answer: p**2 - 2006335*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let c(r) = r**2 - 5*r + 5. Let b(y) = -c(y) - 5*n(y). Let t(d) be the second derivative of -d**3\/6 + 6*d**2 + 264*d + 5. Calculate t(b(v)).\nAnswer: v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -559, -5, -22, -4.\nAnswer: -559, -22, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11250 < -11249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + (2*sqrt(26) - sqrt(26)))*-5)\/sqrt(2).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k + 12. Let y(n) = -n**2 + 26*n + 69. Let p be y(28). Suppose 2*v - 4*g = 8, 12*g = -v + p*g + 3. Put v, k, -2 in descending order.\nAnswer: v, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 10:04 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1967, -3964, -5961?\nAnswer: -7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2690334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303763 is divided by 99799?\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*d - 69, 75 = 3*q + q - 5*d. Let s(f) = f**2 - 9*f - 19. What is the units digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 6) to base 9.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-615)\/(-105) - (-1)\/7 - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + ((sqrt(3) - sqrt(48))*3 + sqrt(3) + sqrt(9)\/sqrt(3) + -5)**2 - (-5*sqrt(1536) + sqrt(1536))\/sqrt(2)).\nAnswer: -804*sqrt(3) - 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -22 - -3)\/(-2). Let l = -5 + s. Let j(g) = g - 2. Let a(c) = 2*c - 3. Let d(w) = 3*a(w) - 5*j(w). Determine d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 + 18*w**2 + 48*w + 40 = 0. What is w?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let h(o) = 8*o + 1. Let z(m) = -2*h(m) - 18*u(m). Suppose 4*y - y - 12 = 0. Calculate z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (2*sqrt(2) + 2) - (sqrt(50)*5 + sqrt(2)).\nAnswer: -27*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*h + 347 - 330, -5*f - 5*h = 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccmmmcmcmcc. Give prob of sequence cc.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312254 and 32?\nAnswer: 4996064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15563580.\nAnswer: 2, 3, 5, 47, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051777 is divided by 60?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62001 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 4. Let c be w(-2). Is c at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 111*z. Let h(f) = 2*f**2. Let t(a) = -2*a**2. Let d(c) = 3*h(c) + 2*t(c). Determine d(j(s)).\nAnswer: 24642*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5815, 6148, 6481?\nAnswer: 6814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000549887507 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/21*((-187640)\/(-6480) - 29).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 39. Let k(h) = 0*h + 2*h - 4*h + 4. What is the remainder when m is divided by k(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 7*v - 12 + v**3 - 9*v**2 + 5*v. Calculate the remainder when i(10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1644305 by -205.\nAnswer: -8021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-3 - 242\/(-80))\/(-1)). Let q = 267 + b. Calculate the remainder when q is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/432 and 143\/2518320?\nAnswer: 22664880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 11, s: 2}. Give prob of picking 2 i and 2 s.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -15*b + 15*b + 40. Let f be ((-14)\/(-4))\/(1\/2). Suppose -b*v - 960 = 2*y - f*y, v = -1. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 13, 17, 19, 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49930691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4987260.300079 - -4987257. Let g = -3.3 - s. Round g to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**3 - 28*u**2 + 4*u + 4. Let y(n) = 16*n**3 - 56*n**2 + 7*n + 9. Determine 5*w(i) - 2*y(i).\nAnswer: 3*i**3 - 28*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 - 2*g + 503500. Let r be s(0). What is r rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3389343*w. Let t(n) = 2*n**2. Determine t(c(j)).\nAnswer: 22975291943298*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54401.7 milligrams in nanograms?\nAnswer: 54401700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-27 - (2 + -45))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3\/7*y**5 + 24\/7*y**4 + 24\/7*y + 66\/7*y**2 + 9*y**3 + 0 = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 487 = 3*c - 508, 0 = 3*p + 3*c - 9 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20 = 9*i - 11*i, -3*w = 2*i + 55. Let g(r) = -16*r**2 - r + 1. Let v be g(1). Let k = w - v. Which is smaller: k or -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203617621 - -35836800129\/176. Let p = 6230\/11 - v. Let h = -90\/383 - -33049\/5362. Find the common denominator of p and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 937 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 15. Let i(z) = -36 + 12 + 15 + 8. Let d(n) = 4*i(n) - j(n). Calculate the remainder when 97 is divided by d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:09 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/8024 (b) 5 (c) -11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1088) + 2*sqrt(1088) + sqrt(1088) + sqrt(1088))**2 + sqrt(1088) - (2*sqrt(1088) + sqrt(17) + 0).\nAnswer: 231*sqrt(17) + 27209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*z**3 - 4*z**3 + 5*z - 2*z**2 - 9*z to the form l + j*z + x*z**3 + g*z**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1671.694 times 3\nAnswer: -5015.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 2*u**3 - 7)*(1 + 0 + 0)*(-6 + 1 + 3 + (-17 + 0 - 65)*(0 - 1 + 2) + (0 - 3 + 1)*(2 + 2 - 2)) in the form t + v*u**2 + f*u**3 + d*u and give f.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.444*-33\nAnswer: 14.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 + 246. Solve -9*r - 23 - 13 = i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggscggcggcgggccccc. Give prob of sequence gg.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 29 = y, -2*y + 2*r + 123 = 3*y. What is the remainder when 647 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2 + -13 + 11). Solve m - 3*r - 7 = 0, y*m + 8 = -2*m - 5*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11221 - 2?\nAnswer: -11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 8. Which is smaller: -1\/3 or y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -569, -866, -1183, -1526?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -40046, 4.\nAnswer: -40046, -86, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40110 by 6.\nAnswer: 6685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 667*l**3 + 817.\nAnswer: 2001*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 852 or 853?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -1 (c) 1 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417 - 386.9. Let k = q + -30. What is the nearest to -1 in k, -10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*r = -6*r - 18, a - 4*r - 22 = 0. Suppose -27 = -4*j + 13. What is the least common multiple of a and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6*(-12)\/63\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4*k = 20, 297*i - 285*i + 3*k = -60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(1\/7)\/b*b)))\/(b\/(b*((b**(1\/3)\/b)\/b)\/b))*(b**(-2\/7)\/b)**(-24) assuming b is positive.\nAnswer: b**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17427960 and 1050372?\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfq when three letters picked without replacement from {f: 4, q: 4, g: 4, x: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 2\/25 (c) 1 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6627280 to the nearest 100000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -70*s - 1595. Let d be j(-25). Solve -137*n + d*n + 54 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*g - 3*l, g + 2*l = -g + 48. Let s = g + -2. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87854 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -24918600 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12123120 (base 4) in base 10?\nAnswer: 26328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1155 - -5904. Let x = 12749 - f. What is x rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208280647 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236280 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:18 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -387, -769, -1149, -1527, -1903?\n\"Answer: h**2 - 385*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 9700.637518.\nAnswer: -9710.637518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 44224536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1579 (b) 0.4 (c) 1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 13*k - 14. Let u = 187 - 79. Let t = -120 + u. Give p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2384)\/(-1341)*(-6)\/(-56). Factor -2\/21*b**3 + 0*b + z*b**2 + 0.\nAnswer: -2*b**2*(b - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 7*o + 52. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12511, 10889, 9267, 7645?\nAnswer: 6023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-7 - -1)*1. Suppose 0 = 2*k - n*t - 7, 14 = 4*k - 9*k - 3*t. Sort 2, k, 1.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 25 (c) 40 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/81 (b) 0.4 (c) 3 (d) -2 (e) 1393\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 391, -19, -1, -2 in descending order.\nAnswer: 391, 1, -1, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 28712 + 55667 + 64916 = 0. What is the smallest common multiple of 25 and c?\nAnswer: 20175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215\/6 = 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 24235964 + 7498892 = -59*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose z*f - f + 12 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1186? (a) -5 (b) -1 (c) 0.1 (d) -1232\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 27*z**2 - 59*z - 58. Calculate the remainder when v(24) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/55 in 5, 1, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10798 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 25 = -2*y. Let q = -10 - y. Suppose 8*h - q*h = -12. Let d(p) = -p**3 - 5*p**2 + 10*p + 8. Give d(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.46 and -10149.\nAnswer: -4668.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807.295 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 2.27931823872?\nAnswer: -5.27931823872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -304 and -70.32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -1058*d**4\/3 + 38962*d**3\/3 + 15668*d**2 + 7288*d\/3 + 304\/3 = 0?\nAnswer: -1, -2\/23, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*z = -15, -3*u - 63*z - 10 = -68*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-236999994)\/30 + 2\/(-10). What is w rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - d - 62, -82 = -2*r - 90*d + 89*d. Calculate the remainder when (-2 - -1) + (2 - -358) is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 1006*g\/15 + 1066\/15.\nAnswer: -2*(g - 1)*(30*g + 533)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**5 + 19*l**4 - 1869*l**3 - 3777*l**2 + 9223*l + 11118 = 0. Calculate l.\nAnswer: -109\/6, -3, -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 3*x + 2*x + 0*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 2 (c) 11 (d) -10 (e) -1\/4 (f) -2\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215965315 less than 1215965313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/(1\/(-3)). Let q = t - -4. Let v be (3\/(-9))\/(q\/(-27)). Solve v*n = -5*c + 5, -2*n = c - 6 - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15*(-6)\/4. Let j be 4\/(-2) - (3 + o). Let s(i) = -13*i + 3. Is s(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 b, and 1 c when four letters picked without replacement from {b: 1, i: 2, c: 3, x: 2, e: 3, g: 3}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264812 divided by -8.\nAnswer: 66203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-30) + 2\/(-6) - 608\/72?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134649834?\nAnswer: 2, 2111, 268747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.98 + 16. Which is the closest to 0.1? (a) t (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4) + 12*304\/384?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -174, -350, -526, -702, -878?\n\"Answer: -176*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x + 80. Calculate y(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let w(k) = k**2 + k + 3958510. Calculate w(t(b)).\nAnswer: 4*b**2 + 2*b + 3958510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2841 + -0.1841. What is the closest to 2 in m, -4, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247540*b**6 + 8*b**4 + 7135*b**2 + 80.\nAnswer: -29704800*b**3 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.16 - 28.56. What is the nearest to -0.7 in t, 0.1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1030 + 0)*27\/18. Is (-3)\/6 + g\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 2 - 7*a + 1 + 0.\nAnswer: -28*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6138740?\nAnswer: 2, 5, 191, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6301546?\nAnswer: 2, 3150773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 6 + (-19 - -5 - -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 11*g**2 + 5*g**2 - 5*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o + 3. Let d be 3*o*160\/(-6). Let v be (-2)\/7 - 142\/(-7). What is the greatest common factor of d and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*3\/(3\/5). Let r be (h\/(-4))\/((-2)\/(-8)). Suppose -2*g - 1 = -r. What is the lowest common multiple of g and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -95. Let k = -63.959 + a. Let q = 0.040922 - k. What is q rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197385 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-14 + 376)\/(2\/90663). What is v rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 5. Let l(f) = f + 3. Suppose -4*m = -4*n - 100, -n - 40 = -3*m - 5*n. Suppose 4*k = -0*k + m. Let r(x) = k*l(x) - 2*j(x). Give r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 13*t**2 - 54*t + 7. Calculate the remainder when 220 is divided by o(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 2 (c) 5 (d) -0.2 (e) 65 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 18*l**2 + 22*l - 65. Calculate u(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 51382*d + 479*d**2 + 51382*d.\nAnswer: 479*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1001 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 less than 2533?\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/(-645) - 5*1\/6*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 3*r + 324. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.32 + 6.41. Let q = s - 0.09. Suppose 4*i = 3*i - 2. What is the biggest value in q, 1\/3, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193 and 1786601.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1570*s = 2507*s - 741*s + 253536 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 75 + 6 + -1 + 0.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**2 - 4. Let k = 13 + -8. Suppose 0 = -2*j - 4*j - 36. Let o(u) = -7*u**2 - 3. Calculate j*o(n) + k*l(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 330, 681, 1036, 1395, 1758, 2125?\n\"Answer: 2*f**2 + 345*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 2*j + 1. Let v(z) = 2*z**2 - 2*z - 1. Determine -3*s(a) - 2*v(a).\nAnswer: 2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}