diff --git "a/data/dm_maths/full_data_1/2254_11255.jsonl" "b/data/dm_maths/full_data_1/2254_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2254_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -1. Let v = 0.17 + 0.03. Let w = v - 2.2. Which is the second smallest value? (a) i (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n**2 + 396*n + 382. Calculate v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277526 rounded to the nearest 1000?\nAnswer: 278000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 5*h + 5. What is g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 14*w + 134. Calculate the remainder when w is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -61. Let o = x + 29. Which is the second biggest value? (a) 3 (b) o (c) 2\/15 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/312 - 26\/1872*-9.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p - 5. Let b be ((-18)\/(3*p))\/2. Suppose 6 = b*s - 0*s. Solve 0 = -s*r - 2*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5327*h + 5327*h - 398*h**2 - 786*h**2 - 1312*h**2.\nAnswer: -2496*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17772.\nAnswer: 2, 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 252.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 156227 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 2*q**3\/3 + 313161*q. Let x(a) = -239*a**2 - 5. Let f(c) = -120*c**2 - 2. Let p(z) = -5*f(z) + 2*x(z). What is d(p(k))?\nAnswer: 488*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*q**2 + 5*q - 29*q**2 - 39*q**2 + 344*q.\nAnswer: 5*q**2 + 349*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 443\/7723?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - n - 22, 2*h + 5*n = 1 + 9. What is the remainder when 203 is divided by 206\/h - (2 + (-36)\/15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 130 = -2*k, 3*k = 2*b - 45. Let p = b - 143. Is -111 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 60?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a - 8*a + 24*a. Let m(y) = 3*y**2. What is z(m(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -468 and -0.044?\nAnswer: 20.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide -3 - 1\/(3\/(-111))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 252 = 15*f. Calculate the smallest common multiple of f and 508.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 516, 999, 1466, 1911, 2328, 2711, 3054, 3351?\n\"Answer: -p**3 - 2*p**2 + 496*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1 + (-15)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15459402 is divided by 1367.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1010010010100100110 (base 2) to base 15\nAnswer: -69d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(8\/10)*-2. Which is smaller: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 171707020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 - -350. Calculate the remainder when c is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {o: 1, j: 5, a: 5, n: 2, x: 3}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1851)\/35 - (-4)\/14. Let u = v + 54. Let n(o) = o + 2. Let t be n(-1). Does t = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*m = -x - 357, -5*m + 83 = x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 7.1\nAnswer: -149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 9*i + 8*i + 8*i - 30*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-813)\/(-1) - (-17 - -63 - 42). Which is bigger: -826 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368334 and 11856?\nAnswer: 38306736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*v + 84 = 3*f, -188 = 5*f - 2*v. Let j be 8\/f - (-256)\/18. Suppose 2*u = 4*w - j, -5*w - 6 = 5*u - 16. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2482838681?\nAnswer: -2482838679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhxtttmxhthxhxthtx. Give prob of picking 1 m, 1 x, and 2 t.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 36816 = s, 3*r + 60116 + 50377 = 3*s. What are the prime factors of s?\nAnswer: 2, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*o = 2 - 71, 0 = 3*d - 3*o - 78. Let f be (2 - 3)*d\/(-7). Solve 2*x - 1 = 4*r - r, f*r = -x + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30057, 29791, 29525?\nAnswer: 29259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 29*x**2 + 46*x**2 + 0.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*l**2 + 53*i**2 + i + 49*l**2 wrt i.\nAnswer: 4*l**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002000 + 1112200121?\nAnswer: 1101121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**2 - 7677*v - 72365 wrt v.\nAnswer: 2*v - 7677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -36*(-2)\/8*2. Suppose -4*n - 6 = -l. Let 7*h**3 - 6*h**3 + 0*h**n = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -10 (c) 6.142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*a - 8 = 0, 4*d + 23*a - 28*a = 0. Solve 4 = 5*l + 4*p, -4*p - 20 = d*l - 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + 0.9. Let f = j - -8. Let p = -0.3 - -0.2. Which is the closest to p? (a) 1 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:33 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/9746 and 33\/36326.\nAnswer: 399586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 158*r - 281. What are the prime factors of s(54)?\nAnswer: 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgg when three letters picked without replacement from {g: 2, k: 2, x: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6842 and 120626.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37780 is divided by 9361?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-4))\/(19635\/22440)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1660.1282 and -0.2.\nAnswer: -1660.3282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -734 - -5939. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5277*o**2*p - 32*o*p*t + 11*o*t - 2288834*p*t - 13*p wrt o?\nAnswer: 10554*o*p - 32*p*t + 11*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from ktitktiktmmiio.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000325530383 rounded to seven dps?\nAnswer: -0.0000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 8 - 3*b**3 + 3*b**3 - 11*b**3 - 20. Let g(j) be the second derivative of j**4\/12 + 4*j. What is q(g(h))?\nAnswer: -33*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuhbhnhbhbhhbhhhbb. What is prob of picking 2 b and 1 h?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3616329 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 t when four letters picked without replacement from {k: 15, t: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2493, 9778, 21927, 38946, 60841, 87618?\n\"Answer: b**3 + 2426*b**2 + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 3*n**2 - n. Let l be c(-3). Let p be -1 - 7\/(-1) - l. Solve 2 = p*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*k = -4 - 2, 2*s - 2*k + 8 = 0. Let f = -1 - s. Let i = f - -10. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082796678?\nAnswer: 2, 3, 53, 1135007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213\/(-4*2*12\/(-2976))?\nAnswer: 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-344 + 21*s + 344 + (-1 - 2*s + 1)*(1 + 2 - 2) - 4*s + 0*s + 2*s + s + 2*s - 4*s + s - s - 2*s)*(-6*s**2 + 0*s**2 + 2*s**2).\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247 - d + 108 + 126)*(3 - 3 + 1).\nAnswer: -d - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 5. Let l(a) = -2*a + 6. Let p = 11 - 4. Suppose -u = 3 - p. Calculate u*o(k) - 3*l(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 0 - -4) + 31 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/8 + (-27591)\/(-4328). Factor -a*t - 9 - 3\/4*t**2.\nAnswer: -3*(t + 2)*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*m - d, -6 = 2260*m - 2261*m + 7*d for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -6. Let b be ((-8)\/6)\/((-4)\/h). Let o be 772\/24 - b\/12. Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m + 14. Let j be k(8). Let a = -21 - -36. Suppose -3*h = 2*h - a. Solve -3*g + j*n = h*n + 12, g + 2*n - 11 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646510?\nAnswer: 2, 5, 17, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -231, 29, 5 in increasing order.\nAnswer: -231, -4, 1, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.986 - 0.114. Let r = 4.2 + s. What is r rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 2. Let d(b) = -2*b**2 - 3*b - 2. Let c be d(-2). Calculate the least common multiple of 2 and l(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 1311.98, -28, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 16, c: 2}. What is prob of sequence cdc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 155 + 97 = -2*b, -3*l = 4*b - 172. Let s = l + -55. Let g = 0 - s. Solve -v + 3 + 16 = -g*w, -w + 3*v = 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*l + 24, 3*t = -t - 12. Let y = l - 5. Which is smaller: -2\/5 or y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-4 + 2 - -1). Let k(s) = -s - 1. Let u be k(p). Let r = -1\/456 - -923\/5016. Are u and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**7\/168 + c**6\/90 + 5*c**3\/3 + 1. Let d(u) be the third derivative of i(u). What is the third derivative of d(b) wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48051.2 - -5207\nAnswer: -42844.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -0*m. What is the least common multiple of -6 + (-4 - -16) + (m - 0) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 2\/9, 2, 13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 175 = 5*j, -v - 8*j + 3*j + 65 = 0. Let i(d) = -4*d - 4. Let l be i(-7). Calculate the highest common divisor of v and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-20026)*-19*4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + -2.9. Let j = -8 - -13. What is the second biggest value in j, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-71777556\nAnswer: -28711022.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4224, -4188, -4154, -4122, -4092, -4064, -4038?\n\"Answer: -w**2 + 39*w - 4262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 13464?\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 - 20*r + 77. What is l(0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 33 = 7*x. Calculate the lowest common multiple of x and 63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1812*o + 5433. Calculate z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -148\/87, 6\/5, 0.569, -4?\nAnswer: 0.569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -342471? (a) -0.3 (b) 0.5 (c) 3 (d) 5 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17041.31l?\nAnswer: 17041310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-4))\/((-13)\/78). Suppose -k - 6*k + u = 0. Let l(f) = 14*f + 5. Does 18 divide l(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -25*j**2. Let h(n) = 7*n**2 + 1. Give q(h(v)).\nAnswer: -1225*v**4 - 350*v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 2. Let w(l) = 3*l - 5. Let m(s) = -s**3 - 13*s**2 - 13*s - 11. Let y be m(-12). Let v = y - -3. Calculate v*w(z) - 10*k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -43. Let o be 57\/(-4)*(q + -6). Suppose -v = 3*f - o, -3*f + 4*v - 2*v + 48 = 0. What is the least common multiple of 4 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1050950029 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(44)\/sqrt(4)).\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -762, -1569, -2904, -4761, -7134, -10017, -13404?\n\"Answer: q**3 - 270*q**2 - 4*q - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574 and 2?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(35)\/sqrt(7)*-1 + 1)**2.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - h**2 + 3*h + 3. Let q(d) = -4*d**2 + 138*d**3 + 10 - 122*d**3 + 0 + 10*d. Suppose 0 = -4*t + 7 - 47. Give t*a(g) + 3*q(g).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25839 - -26307. Which is the closest to g? (a) -0.2 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3159801 plus 0.907034?\nAnswer: 3159801.907034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*f = -6, -5*l + 13 = -4*f + 3*f. Solve 3*o = -5*s + 27, 1 = l*o - 4*o + 3*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -40\/3 (c) 1\/4 (d) 1 (e) 6\/11 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-650*c - 647*c + 1296*c + 38*c**2 - 1)*((2 + 0 + 0)*(-1 + 1 + 1) + 2 + 2 - 1)*(0 + 4 - 5) to i*c + j + w*c**2 and give w.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/63 and 49\/166923.\nAnswer: 1168461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*r + 6. Solve -i + 8 = -2*a, -r = 4*a + i + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 2*a**2 - a + 2. What is c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = m - 19. Let w be ((-6)\/(-5))\/(((-144)\/(-10770))\/12). Suppose 3*i - w + 324 = -m*l, -3*l - 259 = -i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 4*o**2 + o + 8. Let b(j) = 5*j**3 - 5*j**2 + j + 10. Let x(w) = -5*b(w) + 6*v(w). What is x(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*(-48)\/((-60)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)*(-152 + 119)*(-4)\/(-6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 106 = 42 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:14 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16 + 12 + 13 - 13 - m**2 - 31*m with respect to m.\nAnswer: -2*m - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h + 1. Let i be f(-2). Let r = i - 1. Is -1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 40874815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3638 (base 12) to base 3.\nAnswer: 22100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103257 rounded to the nearest 1000?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -413 - -426. What is the fourth biggest value in 1, -3\/4, p, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850527051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:43 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5*u - 2, -f + 2 = -4*u. What is the derivative of k + 48 - k - 10*k**f - 43 wrt k?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-24))\/(-70*11\/(-21560)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -51*m**6 + 13*m**5\/5 - 8477*m**2\/2 - 1435. What is the second derivative of t(r) wrt r?\nAnswer: -6120*r**3 + 156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*s = -7, 501*p + 4*s - 14 = 257*p + 243*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 7*r + 7*r + 200 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4295 divided by -29?\nAnswer: 4295\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -201310?\nAnswer: -201303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4102 + -2288. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184151 and 6.3.\nAnswer: 1160151.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -1507.2.\nAnswer: 1959.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35346 is divided by 285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7*f**2 + 2\/7*f**4 + 0*f + 16\/7*f**3 + 0.\nAnswer: 2*f**2*(f + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2148836ml to litres.\nAnswer: 0.0002148836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:34 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*w - 670 = 0, y + 2*w + 76 - 219 = 0. Suppose y - 502 = 5*r. Let d = r + 124. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327.817l in millilitres?\nAnswer: 7327817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n + f = 0, -3*n + 4*f = 0. Solve j - 4 + 2 = n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7 - 5*o + 0*o + 4*o. Let z be x(3). What is the second derivative of -z*w**2 + 7*w**2 - w**2 - w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/36 and -81\/22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -u + 1, 0*u = 3*u - 9. Let s(q) = -q - 2. Let f be s(-7). Put f, -2, o in ascending order.\nAnswer: -2, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 180*h**2 + 390*h - 6016. What is c(178)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let d be z(2). Let i be ((-10)\/d)\/(3\/(-24)). What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15*o**2 - 128*o - 43. What is the lowest common multiple of d(9) and 410?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19795 - 11499. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 20*w + 45. Let j = -44 - -68. Calculate the smallest common multiple of j and a(18).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-16)\/(-72)*9) + 4. Solve b*t = -2*f + 2, 4*f = 6*f - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4542389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5558317+0\nAnswer: -5558317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 3*a - 1. Let f be m(1). Let h be (-1320)\/664 + 2\/f*1. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 60 = b. Let n(a) = a**2 - 4*a. Let r be n(6). What is the greatest common divisor of b and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35681, -71362, -107043, -142724, -178405?\nAnswer: -214086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 402\/122947 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12887, 24972, 37047, 49112, 61167, 73212, 85247?\n\"Answer: -5*t**2 + 12100*t + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 2*o - 1. Let l = -81 - -65. Let i(c) = -c**3 - 16*c**2 - 8*c - 35. Let t be i(l). Suppose -4*u = t - 89. What is d(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17089 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -28, 4, 2\/21, 4\/5 in descending order.\nAnswer: 4, 4\/5, 0.5, 2\/21, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5504437 and 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49774.\nAnswer: 2, 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.05, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bc73 (base 16) in base 5?\nAnswer: 12120104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*130\/(-52)*1\/(-90). Let o = -0.3 + 0.1. Is t greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -155403.61?\nAnswer: -155403.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 20*i**2 - 17.\nAnswer: -4*i**3 - 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.707.\nAnswer: -2.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, -621, -2, 114, 5, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 12 - 0. Suppose 0 = v - o - 462, -2*v + 3*o = 304 - 1228. Suppose 0 = -7*a + 4*a - 2*s + 695, -c*s = 2*a - v. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -17.15. Let g = a - 1.8500113. What is g rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + d**2 - d**2 + (3*d + 0*d - 2*d)*(3*d**2 - 5*d**2 + 0*d**2) + (1 - 3 - 1)*(-3*d**3 - 2*d**3 + 6*d**3) - 12*d + 12*d - 3*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.4 (c) 600\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1*(sqrt(110) + (sqrt(110)*-1 + sqrt(110) + sqrt(110) - sqrt(110))) + sqrt(110))*2)\/(5*((4*sqrt(10) - sqrt(10))*-1 - sqrt(10))))**2.\nAnswer: -33\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 882566*s + 2647694. Determine f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -80, -52, -2, 76, 188, 340, 538, 788?\n\"Answer: j**3 + 5*j**2 + 6*j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -120124 greater than -120172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(30\/(-4))\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 less than or equal to 906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*y**2 + 8*y**2 + 14*y**2)*(6*y + 4*y - 2*y).\nAnswer: -104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:38 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 32. Suppose 10*j = 6*j - 4*d + 76, -5*d + 39 = j. Is c at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26*(-68)\/1768)\/((-14)\/18).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 163829708139.\nAnswer: -163829708139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 385 = r, 4*r + 2*p - 796 = 672. Suppose -h + 330 = 5*t - 4*h, 4*h - r = -5*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*i. Suppose i = -3*b - 2*l + 3, 6 = -4*b - l + 15. Suppose 3*y = -b*o - o + 98, 2*y + 2*o = 68. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((((m*m\/((m\/m**(-24))\/m)*m*m)\/m)\/m*m)\/m)\/m))\/(m\/m**(-11)))\/((m\/(m\/m**(-16)*m)*m)\/(m**(-1\/24)*m)) assuming m is positive.\nAnswer: m**(695\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -43*o - 8. Give y(-2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -76596 divided by 19149\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 96*c**3 - 2*c**2 + 2*c - 1. Let y be v(1). Suppose -15 = -r - q - 0*q, 3*q + y = 4*r. What is the units digit of 132\/r - 4\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 0*r + 5*r + (0 + 4 - 3)*(0*r + 4*r - r) to n*r + y and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 - 6*f - 4. Let o be n(7). Suppose -4*r = -o*r - 529. Let q = 3529 - r. What is q rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 - 0.03. Let p = m + 0.4. Let i = 0.1 + p. Is -1\/3 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 826 - 826.02. Let b = -4\/3 + 2. What is the nearest to -3\/2 in x, 0.5, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-7)\/21 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a day in minutes?\nAnswer: 25344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 1.8. Which is the smallest value? (a) 9 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6185868 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus -782?\nAnswer: -782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**4*u**3 + 1015*h**3*u**3 - 14*u**3 - 52*u wrt h.\nAnswer: -8*h**3*u**3 + 3045*h**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 - 7*t - 6. Let j be r(-4). Suppose 9 = 5*m - j. Suppose 0*o + 6 = m*o. Solve -4*s - 2*p = o, 2*s - 3 = -2*p - 3*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*q - 2*m, 6*q - 4*m = 2*q + 24. Let j be 5\/(-2)*16\/(-20). What is the lowest common multiple of j*(-1 - (-2 + 0)) and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 - s**2 + 3*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.3173um in nanometers?\nAnswer: 572317.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-20 - (-34 - (-30 - -13))) - -74\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.547225 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i = 180514*k - 180518*k, -4*k = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5))**(-2\/27)*g**13\/(g\/(g\/g**6)) assuming g is positive.\nAnswer: g**(947\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1935369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 2634?\nAnswer: 18438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -7, -23, 328, -2, 5.\nAnswer: -23, -7, -2, 2, 5, 10, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-8))\/(y*y\/(y**(-3\/5)\/y)*y))\/(y**0)**36 assuming y is positive.\nAnswer: y**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -5, -68 in ascending order.\nAnswer: -68, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + 3*(-728)\/315.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.7 - 11.9. Let n = w - -4.89. Let l = -1.413 - n. Round l to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142417 + -142414. Let h = 0 - 0. Let g = 0.2 - h. Which is the third smallest value? (a) -0.5 (b) 2\/19 (c) t (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/3 + b**2 - 2*b\/3 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-220)\/3*3. Let v = 92 - i. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, -13, 1, 108 in ascending order.\nAnswer: -17, -13, 0, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 = 3*r, 4353*r = 4*m + 4355*r + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 1. Let j(d) = -53*d**2 + 6*d + 3. What is -2*f(m) + j(m)?\nAnswer: -53*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4 + 86*k**3 + 160*k**2 - 672*k = 0.\nAnswer: -84, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 4*p + 2. Let n be y(-2). Suppose 0 = n*l + 4 - 18. Let b be (-4)\/l*7\/(-3). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 2353. Let j be h(0). What is j rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/(-10) + 26\/(-65). Let l = 11 + t. Suppose -4*d = k + 3*k - 208, 4*d = l*k + 201. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -163, -6, 0, -4, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-2)\/sqrt(5).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/12)\/(3\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 2*w**5 + 3*w**5 + (-2*w - w + 2*w)*(-3*w**4 + 0*w**4 + 2*w**4) + 258*w - 258*w - 23*w**5 + (3*w + w - 2*w)*(-2*w**4 + 0*w**4 + w**4).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*u + u. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 184, -11, 13 in decreasing order.\nAnswer: 184, 13, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-15) - 16\/(-6). Suppose 0 = 2*a - 5*y + 28 - 11, -5*a = y + x. Sort a, 0, 2\/7, 4\/3 in decreasing order.\nAnswer: 4\/3, 2\/7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 11*m. Let q be z(-5). What is the common denominator of 79\/22 and 0 - 2 - 177\/q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127 or 126?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78463, 79241, 80017, 80797, 81587, 82393?\n\"Answer: t**3 - 7*t**2 + 792*t + 77677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvuqvuvuqu. What is prob of sequence uvq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27795 divided by -15?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 - 149293648*g**2 - 433256435*g wrt g?\nAnswer: -12*g - 298587296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 75.4. Let c = 1 - -1. What is the smallest value in 2\/9, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15243177 to the nearest integer?\nAnswer: 3904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2465*t*w**3 + 47*t*w**2 - 755864*t*w - 3*t + 9*w**2 wrt w?\nAnswer: -14790*t*w + 94*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*(588\/(-56))\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -3*l. What is the remainder when 21 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -167801, -336725, -505651, -674579?\n\"Answer: -v**2 - 168921*v + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let q = -1019\/4 - -256. Is q at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 - 6096*o + 3096768 = 0. Calculate o.\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose -4*u + 4*m = 17 + 23, -3*u = 3*m + 12. Let k = 7 + u. What is the biggest value in g, -5, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 63*o**2 - 92*o - 48. Let m be n(-30). Solve 34 + 2 = m*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -719431 (base 13) in base 9?\nAnswer: -4875454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 28*i**2 - 2*i**3 - 3*i**4 + 13*i + 28*i**2 + 0*i**3 to the form g*i**4 + t*i**2 + z + v*i + f*i**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14469096 and 14388?\nAnswer: 159160056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)\/j**(-11))\/(j**(-1\/4))**(-44) assuming j is positive.\nAnswer: j**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/5 - 5156*w**3\/5 + 7415326*w**2\/5 - 1983105876*w\/5 + 147933313641\/5 = 0?\nAnswer: 159, 2419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26229400298 - 26229400303.7500001295. Let a = j - -5.75. What is a rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/62 + 83\/1302. Let u be -2*(23\/2 - 10). What is the nearest to o in 1\/11, -2, u, -3\/2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 a when three letters picked without replacement from {g: 2, l: 1, a: 4, v: 2, t: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/24)\/((-2)\/(-114)). Let o = w - -14. Let n(k) = -k**3 + 3*k - 1. Is n(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -1\/772.\nAnswer: -0.2, -1\/772, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 74*w**3 + w. List the prime factors of d(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 0.03 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000101010?\nAnswer: -1000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 113537 = 3*u, -147*u + 5*z = -154*u + 264852. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -285*y + 275*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**2 + 74*s**2 - 6*s**2 - 14*s**2 + 73 - 24*s**2.\nAnswer: 9*s**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*g**3 + 35*g**3 - 176*g**3 + 60*g**3 - 281*g**3.\nAnswer: -612*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 4\/(5\/(-5)). Let x = d - 6. Suppose -5*j + 0*j - x*g + 95 = 0, 0 = -4*j + 2*g + 94. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from dacmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008617.\nAnswer: 1008617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Suppose -2*a + 1 + 3 = r. Suppose -28 = -a*l - 2*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 5*d**6\/72 + d**4\/12 - 5*d**3\/2 - 32*d**2. Let n(z) be the first derivative of a(z). What is the derivative of n(t) wrt t?\nAnswer: 50*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 27*p - 1. Let c be t(1). Suppose 10 = -4*a + c. Suppose 0 = d - a*d + 39. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 55 = -49. Let s(i) = 101*i**2 - 17*i**2 - u + 10*i + 17. Is s(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 544740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 586+-0.2\nAnswer: 585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = 3*g. Let t be ((-4)\/(-6))\/(8\/3 + 370 + -371). Which is the closest to t? (a) g (b) 4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, c: 9}. What is prob of picking 4 i?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 1 a when three letters picked without replacement from {a: 3, y: 2, f: 1, i: 2, q: 2, b: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64662390598 and 0.27.\nAnswer: 64662390598.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13809317*m**2 + 13809289*m**2 - 27618571*m**2.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 3*d**2 + d**2 + (-d**2 + 0*d**2 + 3*d**2)*(-2 - 1 + 2) + 360 - 9*d**2 - 360 + 3*d**2 - d**2 + 0*d**2 as l + z*d + h*d**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/(100\/(-100))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*t**4 + 3*t**4 + t + 32 - 30 in the form l + v*t**4 + x*t**3 + y*t**2 + c*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n**3 + 47*n**3 + 307*n**2 - 198*n**2 - 109*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 4 + 10*j - 2 - 13*j to b + y*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + j = 18*g - 7, -2*j + 4 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -157499*p**2 + 4*p + 4. Let i be d(-2). Round i to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (-26)\/(-10))*5 + 321. Round x to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Let v = 9 + -5. Let z be 0 - -2 - (-1 - 1). Solve -5*i - 5 = -0*i - z*d, -v = -l*i + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 91 = 352. Is (-70)\/(-270)*4857 + 2\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 5, 20, 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 89, 203, 353, 533, 737, 959, 1193?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6158 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -572*g**4 + 4*g**3 - 2397?\nAnswer: -2288*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2745*f**2 - 1 - 2*f**4 - 12*f + 2748*f**2 to z + y*f + k*f**4 + i*f**3 + u*f**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**3 - 3*s**2 - 3*s - 12. Suppose 415 = -7*k + 394. Is 15 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-38)\/(-8246) - 934\/62\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -48101150.\nAnswer: -9620230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.017 - -0.141. Let r = -110.124 + n. Let x = r - -93.1. What is x rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*i + 3, z - 4 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135266 (base 7) in base 5?\nAnswer: 1311441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.1. Let p be (-2*2)\/(-4 + (-119)\/(-21)). Let n = -2 - p. Are n and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -20. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1539 - 226 = -5*k. Let i = k + -222. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.833 + 4.8. Let a = -42.967 + j. Let w = -37.6 - a. Round w to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -2. Let s = 137\/814 - -1\/74. Let f = -0.6 - -0.5. Which is the closest to -1? (a) s (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36665700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141342*h**2 - 141342*h**2 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -24333\/2, -5, 0.05 in descending order.\nAnswer: 0.05, -5, -24333\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 divided by -4?\nAnswer: 199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1377) + 4 - sqrt(1377))**2.\nAnswer: -144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + j - 2. Let s be k(7). Suppose 0*t - t = 5*q - 15, -25 = -2*t - s*q. Let g = -3 + t. Calculate the remainder when 25 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100 - 12030144?\nAnswer: -12024044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opuuoxxuuupu. Give prob of sequence xup.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-8))\/(1 + 79793\/(-79765)). Let v = y - 356. Calculate the common denominator of -87\/20 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-118)\/(-885))\/((-2)\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-2)\/sqrt(8) + sqrt(440)\/sqrt(90))\/(sqrt(44)\/(sqrt(11) + (sqrt(1100)\/sqrt(4) - sqrt(11)))).\nAnswer: -25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22275252?\nAnswer: 2, 3, 433, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dndc when four letters picked without replacement from dnnnddncnnddnndddnnn.\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -12*v + 84. Suppose 0 = 3*f - 7*u + v*u - 177, -5*u = 0. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**(-6))**(21\/8) assuming c is positive.\nAnswer: c**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12312.36 + 7494\nAnswer: -4818.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 53, 541, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m - 5. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124231520 divided by 110921?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*80\/504)\/(2\/14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*v + 4*v. Suppose 0 = -3*n + 3*y - 3, 21 = v*n - y + 2*y. Solve -5*s - n = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 902*c - 94*c + 218*c - 2455 - 14*c + 1226*c wrt c?\nAnswer: 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -12*t**2. Let g(d) = -3*d**2 + 5*d - 5. Let m(i) = -i**2 + 2*i - 2. Let o(k) = -2*g(k) + 5*m(k). Determine w(o(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/2 - 733*t\/2 - 273564 = 0.\nAnswer: -459, 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 280696*d**2 + 128*d + 128. Let l(k) = 21592*k**2 + 10*k + 10. What is 64*l(b) - 5*s(b)?\nAnswer: -21592*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 886, 890, 892, 892, 890?\n\"Answer: -m**2 + 7*m + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69101917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 15 = 2*z + v, 3040*z - 3033*z - 2*v - 30 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*r, 2*i - r = -4*r. Let q = 169 + -403. Let a be 2\/(-9) - (-104)\/q. What is the closest to i in 1, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 5778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 6, m: 2, f: 8}. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074 a factor of 70579040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10554 and -109\/73556.\nAnswer: 388155012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 3994230.\nAnswer: 27959610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 300 = 660. What is the smallest common multiple of l and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -806 (base 14) to base 3\nAnswer: -2011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8034 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3 + 3. Let u(k) = 9*k + 1. Let d be u(j). What is the greatest common divisor of d and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(1216) + 4 + 2 + 1)**2 + 3 + 1.\nAnswer: 256*sqrt(19) + 4932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 46543\nAnswer: 46545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3311 + 7455. List the prime factors of a.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6320, 8, 5 in descending order.\nAnswer: 6320, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + 21122223?\nAnswer: 21123000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-3) - 64\/(-8). Let p be (-32)\/18 + b + -2. Put p, 4, 0 in ascending order.\nAnswer: 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78704, -157218, -235530, -313640, -391548, -469254?\nAnswer: -546758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 3. Let y be f(0). Suppose 16 = a + 5*g, 2*a + g = -y*g + 14. Let j = a - -1. Solve j*d = -3*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9480.1145 plus -161.438?\nAnswer: -9641.5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5251 + -5248. Let v(r) = -r**3 + 5*r**2 - 7*r - 3. Determine v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 21*q - 13. Determine l(8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*r - 12, -5*f + 10 + 20 = -5*r. Let w(p) = -3*p**3 - 6*p + 8. Let t(g) = 3*g**3 + 7*g - 9. Let c(h) = f*t(h) + 7*w(h). Differentiate c(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 2, i: 1, f: 4}. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/27 and 26\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -43*t - 231. Let w be f(-5). Sort 4\/7, 1\/6, -5, w in descending order.\nAnswer: 4\/7, 1\/6, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + g + 1872 = 0, 0 = 5*w - 4*g - 2151 - 178. Calculate the remainder when w is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:56 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/51 (b) 3.6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -6, -2, -5, 24797 in ascending order.\nAnswer: -6, -5, -2, 18, 24797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 99. Suppose l = g*l - 16. Suppose -l*q + 461 = -567. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 45.99999775. What is k rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*y = -2*y - 50, -3*y - 25 = -m. Suppose -11*t = -m*t - 4. Suppose -g = t*g + 10. Let j(c) = 4*c**2 - 3*c - 1. What is j(g)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 3*w - 2. Let z be g(-1). Suppose -z = -6*r + 5*r. What is the common denominator of 245\/(-84)*(-58)\/r and 5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 80*n**3 - 2*n**2 - 8*n - 20. Calculate l(-2).\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let b(u) = -u**3 + 5*u**2. Let j be b(5). Let g(l) be the first derivative of -1\/2*l**2 + 2 + j*l. Determine k(g(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-6 - (10 + -3 - 6)) - -36?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -32. Let o = -23.5 + i. Let a = -2.6 - o. Which is bigger: a or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209473*o**3 + 544081*o**3 - 123127*o**3.\nAnswer: 630427*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/(-99) - 2 - ((-172)\/(-18))\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-18)*9\/(-42). Let t = 26\/21 - a. Let h = 276.71 - 276.61. What is the biggest value in -0.4, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-2*5)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {a: 1, d: 2, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604 + 21*h + 20*h - 14*h - 304 - 292.\nAnswer: 27*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30\/31, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30439707073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101030376.\nAnswer: 2, 262628797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -0.1, -7, -3, -7\/4, 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) -20 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 45 = 0. Find the second derivative of 2*h - 10*h**2 + c - 9 + 0*h**2 wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.88 + -70.438.\nAnswer: -72.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/21)\/(g*g**16\/g) assuming g is positive.\nAnswer: g**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/7 - 6126*d\/7 + 6485165\/7.\nAnswer: (d - 4765)*(d - 1361)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/22048 and -23\/861568?\nAnswer: 11200384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2875 + -2864. What is the remainder when 2407 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.08 + -0.08. Let l = -0.08 + 4.08. Let c = 97 - 95. What is the closest to -2 in c, l, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 12 = 37. Which is the third smallest value? (a) v (b) -2\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 2, d: 2}. What is prob of picking 2 v and 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k - 4. Let z(i) = 40 + 0*i + 39 - 16 - 175*i. Give 63*g(r) + 4*z(r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1244780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -5. Suppose s*l + o = -17, 0 = 5*o + 6 + 4. Let u = -595 + 589. Sort -5, 1, l, u in ascending order.\nAnswer: u, -5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**4 + 231*s**3 - 1221*s**2 + 103773585*s - 2 wrt s?\nAnswer: -48*s**2 + 1386*s - 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -3 (c) -17\/4 (d) 2\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/((-1932)\/(-805))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -9ab1?\nAnswer: 9ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 47 + 1303. Let v be 14\/3*p\/(-7). Let o = v - -420. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3 = -2*x + 7, -5*x + 9 = -2*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2588, -2165, -1752, -1355, -980, -633, -320, -47?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 15*b - 5. Let c be h(12). Let n(r) = r**2 - 17*r - 19. What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 4*p, -2*p - 6 = l. Let v(b) = l*b - 2 - 2*b + b. What is the units digit of v(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40700 divided by -55?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2905506\/(-84) + 304\/(-266))\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -0.05484?\nAnswer: -15.94516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -123974, -123973, -123972?\n\"Answer: g - 123975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) -1.3 (c) 21 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1793*h**2 + 13*h + 13. Let i(f) = 299*f**2 + 2*f + 2. What is 39*i(y) - 6*k(y)?\nAnswer: 903*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-1)\/6)\/(4\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15430 and 9258?\nAnswer: 46290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2015.175 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, v: 1, k: 1, g: 1}. Give prob of picking 1 k, 1 g, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, -4, 2003?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + i. Suppose -2*r = 3*w + 11, -10 = -4*r + 4*w + 18. Let u(b) = 2*b**2 + 0*b**2 + 2*b**r - 4*b + 1. Give 3*h(t) + u(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Solve -27 = -m*t + 3*p, 5*p - p = -4*t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -56*r**4 + 8*r**2 + 8*r**3 - 34*r**3 + 22*r**2. Let s(n) = 11*n**4 + 5*n**3 - 6*n**2. Let y(v) = -2*p(v) - 11*s(v). Factor y(l).\nAnswer: -3*l**2*(l + 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -878*o**2. Let x(g) = 5725*g**2. Give f(x(l)).\nAnswer: -28776998750*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1846\/21 - -704\/7. What is the common denominator of 49\/8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23034 + 13?\nAnswer: -23021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -346*(53\/(-6) + 18\/54) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/4)\/((-1)\/36*3). What is the highest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7264*k**3 + 7525*k**3 - 14456*k**3.\nAnswer: 333*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -5320.8\nAnswer: -47887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -676790, -1353524, -2030258, -2706992, -3383726, -4060460?\nAnswer: -4737194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111111101111100 (base 2) in base 16?\nAnswer: ff7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3328?\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + 3*-2*(1 + 1*sqrt(176)*-1))**2.\nAnswer: -240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279446 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -56783?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45\/14 or -4?\nAnswer: -45\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, n: 7, p: 1}. What is prob of sequence nnnn?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4)*-1)\/(sqrt(8)*-1) + (sqrt(288) + -2 + -2 + sqrt(288) + 2 + -3)**2.\nAnswer: -239*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8956\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15246 by -5.\nAnswer: 15246\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/676 + -22655\/2028. Find the common denominator of a and -53\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5740 is divided by 1148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -0.9232196768035.\nAnswer: -2.1232196768035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(245) + -2)**2.\nAnswer: -747 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161998 and 10486?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/102 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114073 = 2059*h + 93483 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-66)*(-38)\/57*-3*(-48)\/4?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3491*y - 3140*y + 258 = -382 - 62 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731050933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*l, 4*l - 758 = -3*k + 5*l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - c**2)*(6*c - c - 4*c) + 3 - 3*c**3 - 3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - -1. Let w = c + -20. Let n(o) = o**2 - 4*o - 2. Let g be n(-1). Solve f - w = -g*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 2*x + 2. Let l be h(2). Which is the second smallest value? (a) l (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3)*-1)*-5.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (-3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10586*g**2 + 869*g. Let b(m) = -73*m**2 - 6*m. Determine 869*b(v) + 6*f(v).\nAnswer: 79*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22942\/(-540) + (-20787)\/(-507) + 1\/(-2) + 2\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**2 - 1. Suppose -5*t - q - 85 = -6*q, q = -5*t - 73. Let j be (t\/6 - -3)*-2. What is the units digit of k(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from ieiiqrovivoiiiqiq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 1. Suppose -8 = 4*d - 24. Suppose -d = -y - 3. What is the smallest common multiple of 10 and j(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbbbsps. What is prob of sequence ipbs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 110*u + 3792.\nAnswer: -2*(u - 24)*(u + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211010213 (base 4) to base 2.\nAnswer: 100101000100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**5\/40 + 5*h**4\/24 + 2*h**3\/3 + 35*h**2 + 91. Let v(k) be the second derivative of q(k). Factor v(j).\nAnswer: (j + 2)*(3*j + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1869807, 1869891, 1870037, 1870251, 1870539, 1870907?\n\"Answer: g**3 + 25*g**2 + 2*g + 1869779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 2, f: 4}. What is prob of picking 1 x and 2 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177 in 3\/5, 1.2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 + -2)) + (-18 - -19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:17 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/g**3))\/g*g\/(g*(g\/(g\/(g**(6\/7)*g*g))*g)\/g))**(-1\/15))**(-1\/8) assuming g is positive.\nAnswer: g**(-13\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/3510948 and 53\/1379301.\nAnswer: 38620428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -41*r**2 - 30*r - 8. Let u(n) = -14*n**2 - 10*n - 3. Suppose t - 10 = -2. Let o(y) = t*u(y) - 3*d(y). What is the second derivative of o(v) wrt v?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)\/sqrt(6))\/sqrt(7) + -2)*6)**2 + -1.\nAnswer: -144*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/6)*m*m**(-1\/2))\/(m*(m\/m**7)\/m*m*m**(-2\/29)\/m) assuming m is positive.\nAnswer: m**(499\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -264 + -171?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 13. Let r(a) = 2*a**2 - 8*a - 8. Let c be r(o). Suppose -4*f - c = -5*x + x, 0 = -2*x - f + 25. Solve j - 2*i + 8 = 0, -4*j = 3*i + x - 36 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 11 + 19)*(-n + 3*n - 5*n) - 2 - 2*n + 2 to the form h*n + c and give h.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.74698 - 174.68998. Let a = 3.523 + j. Let m = -173 - a. What is m rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 7*n**4\/4 - 9*n**2\/2 - 221. Let m(k) = 15*k**3 - 19*k. Let d = -30 + 17. Determine d*z(y) + 6*m(y).\nAnswer: -y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1101 and 53\/30.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85176 and 12168?\nAnswer: 85176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 0.52, -4, 0.5?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/((-5)\/320). Let n = k + -27. Suppose 48*m + 6 = 51*m. Solve 0 = -5*q - a - m + n, 0 = -5*q + 2*a - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 + 93588*z**3 - 541332212*z**2 - 71422630452*z + 145009841112 = 0. What is z?\nAnswer: -131, 2, 11763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*m = -30 + 35, -m - 10 = -4*y. Let s(w) = 255*w - 52. What is the tens digit of s(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 - -15130?\nAnswer: 15000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**4 - 255*r**3 - 490.\nAnswer: -8*r**3 - 765*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose -m*o + 4*o - 2*t = -29, -t + 4 = 0. What is the remainder when 40 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 3. Let z be c(0). Let v be (-30)\/12*(-4)\/(-5). Sort z, v, -6 in increasing order.\nAnswer: -6, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 - (-1768)\/24. Let p = 508 - c. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*((-338)\/(-39))\/(-13)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 62 = 4*q. Suppose -3*h + 0*h = 36. Let v = h - -75. Calculate the greatest common factor of q and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5588.23 - 875137.68.\nAnswer: -880725.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2907\/228)\/((-510)\/240)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -983 + 1575. Let h = v + -591.3. Put -1, -6, h in decreasing order.\nAnswer: h, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27065 or 3\/29?\nAnswer: -27065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 458*j + 41212. Calculate t(-90).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Suppose 0 = 4*c - 1 - 7. Let d be x(c). Let l = d + 2. Solve -3*h + 6*h = l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(455\/((-124215)\/(-12012)))\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3340522 (base 6) to base 11.\nAnswer: 105800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347 or 362?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 2, m: 4, t: 1, n: 4, k: 1}. Give prob of picking 1 n, 1 k, and 1 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -69*s**7\/70 + s**5\/20 - 421*s**3 - s**2 + 542. Find the first derivative of m(u) wrt u.\nAnswer: -828*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 33. What is f(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94247 and 196845?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 908, 62, -463 in descending order.\nAnswer: 908, 62, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 26860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (8 + (8 + -7 - 8) + -15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:25 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 7. Let h be y(-8). Suppose -j = 5*g - 10, h = 3*j + 3*g - 1. Solve 2*x = x - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 - 226. Suppose i = 11*s - 10*s + 4*l, 0 = -4*s + 5*l + 237. What is the remainder when 577 is divided by s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -14, -7833?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1636?\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:41 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(60\/3)*(-198)\/11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1351 - -2032. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 1293*n + 372351. Determine y(-433).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a + 2 = 2*h, 0 = 2*h + 4*a - 8. Let s be (-78)\/(h\/3*-3). Let r = s - 31. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320618390 a multiple of 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2324522 centuries to decades.\nAnswer: 2.324522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -12. Is 38 + 0 + r + -2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13380274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ninety sevenths of a week?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 4*p = -54. Let l = 0.9 - -0.1. Which is the biggest value? (a) 5 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102.2 + 102. Which is the fourth smallest value? (a) 3 (b) -0.06 (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1818)\/(-505)*5\/2. Which is greater: r or 51\/5?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 93, 92, 91, 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 187*y + 112. Let f(j) = 124*j + 75. Suppose 301*s = 303*s + 10. Let c(v) = s*t(v) + 7*f(v). Differentiate c(a) wrt a.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqaqroqqaaappaqoa. What is prob of picking 1 q and 1 p?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 984291 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**7\/210 - f**6\/720 - f**5\/120 - 7*f**4\/6 + 17*f. Let v(h) be the third derivative of j(h). Give v(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11612 - 24073\/2. Let z = -427 - r. What is the nearest to -2 in -1, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4)\/(1\/1). Suppose -o - n = o. Calculate the common denominator of 13\/10 and 1*o*268\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 21952?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-3)\/15*(-36)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.0405 - -0.0405. Let n = g + 23. What is the nearest to 2 in n, -3\/4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*y = 5*y - 4, 2*t - y - 4 = 0. Solve -8 = -x + g, -g + t*g = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3853 - 1.38. Round y to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 + 6*x - 2*x**2 + 0 + 2 - 2*x**2. Let l be v(6). Let n = -1.6 - -2. What is the third smallest value in -6\/7, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose -4*u + 2*v = -34, 208*u - 203*u - 4*v - 59 = 0. Solve 5 = -h*k + y - 3, u*k + 12 = -5*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.226 and -27338.1.\nAnswer: -27334.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45070 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-2)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 112013?\nAnswer: -112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5099808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 50, 99, 190, 335, 546, 835?\n\"Answer: 2*r**3 + 3*r**2 - 4*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - 75\/30*-82?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975\/(-42) - (-8 - 92 - -77)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384731 divided by -4391?\nAnswer: 384731\/4391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 1898\nAnswer: -15\/1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -1\/12*b**2 - 1\/3*b + 100 + 1\/18*b**3. Factor k(i).\nAnswer: (i - 2)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*o + 97 + 123 = 0, 4*f + 5*o - 256 = -34 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(((j\/j**(-2\/5))\/j*j)\/j)\/j*j\/(j**(-3\/4)*j)*j)\/(j**9\/(j*(j*j*j\/(j\/((j*j**4*j)\/j))*j)\/j)) assuming j is positive.\nAnswer: j**(23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 778223591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -30. Let r(q) = -4*q + 4 + 3 - 4. Let z be r(2). Which is the nearest to -0.1? (a) u (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -105706, -208033, -310360, -412687, -515014, -617341?\n\"Answer: -102327*z - 3379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 3. Let g be z(11). Let o = -17 + g. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-10) + 21672\/105. Calculate the remainder when 52 is divided by (b\/12 - 2) + (-10)\/40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 7*k**5\/5 - k**3 + 5. Find the third derivative of u(g) wrt g.\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 > 819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000991013 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2674 * -15030.\nAnswer: -40190220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 506 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 24 + 6. Let s = -200 - -209. Calculate the greatest common divisor of s and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 15*k**2 - 16*k + 6. Calculate c(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:20 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*r + 6*r - 8 + 8 to the form a + t*r and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55412479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 65.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, a: 1, r: 2, s: 9}. Give prob of picking 1 a and 1 s.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116 + -3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*l - 2127 = -172, -l - 2451 = -5*g. Suppose 5*x = -2*j + g, 4*j + 5*x - 952 = 2*x. Is j a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 836*f - 2146. Calculate k(3).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnw when three letters picked without replacement from {w: 2, n: 1, e: 4, l: 1, b: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 - (-110)\/9. Suppose 0 = -w + r + 1. What is the highest common divisor of 143 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31785696 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835003 is divided by 417302?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883 + 9*v**2 + 77 + 48*v**2 + 519.\nAnswer: 57*v**2 + 1479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410364429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 5*i**2 - i + 4. Let l be u(5). Let f = l - -7. What is the smallest common multiple of 10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40, -86, -140, -202?\n\"Answer: -4*z**2 - 34*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42166 - 296224\/7. Let a = r + 152. Let i = 0 - -0.1. What is the nearest to i in 2, 3\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oruolorroo. Give prob of sequence uooo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5728\/86367 or 0?\nAnswer: 5728\/86367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/63)\/(8\/(-72)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + j**4 - 1 + (4*j**2 - 5*j**2 - j**2)*(-3*j + 1 + 0*j + 0)*(-20 - 3*j - 13 + 32).\nAnswer: -17*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - -114. Let w = v - 143.07. What is the closest to w in 0.3, -2, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 + 167. Let q = i - -87. Differentiate 14*a**3 - 8*a**3 + 7 - q*a**3 + 11 wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 22*p**3 - 75*p**2\/2 + p + 65. Find the second derivative of c(i) wrt i.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 329034, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -9715 + 9562 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281745 a multiple of 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/24*2 + -3. What is the closest to o in 2, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g**2 + 16*g - 12*g**2 - 22 + 36*g**2 - 10*g**2. Calculate n(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 13*g**2 - 12*g + 6. Let v(i) = -13*i**3 + i**2 - 2. Let a be v(-1). Calculate o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*a + 152. Let h = a - 28. Suppose 6*i - h = 2*i. 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: Let h(v) = -71*v + 65. Let u be h(-13). Let r = u - 249. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 106*n**2 - 27*n + 306. Is v(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000000010011001000 (base 2) to base 9.\nAnswer: -2858216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9930 and 36410.\nAnswer: 109230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146818 - 15*b + 1146818 + 51*b**3.\nAnswer: 51*b**3 - 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(8\/(-4449)*4\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tujt when four letters picked without replacement from ijtotooiosjituoitj?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1520 - -939. Let z = w - -705.3. Let v = z + -119. Round v to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399 and 23114.\nAnswer: 1317498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 24040.78723207 and -0.17.\nAnswer: 24040.61723207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4245.\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3 and 3.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(30\/(-18))\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*a = -719*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + 25)\/(-10) + (-3 - (-54)\/24).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -10\/763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.88 - 0.12. Let a = o + 16. Let k = -9.035 + a. What is k rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-14))\/(71\/(8520\/(-210)))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (413\/(-140)*-12)\/(3\/105). Suppose -7*g + j = -3150. What are the prime factors of g?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007601842 rounded to 5 dps?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**3 + 6*f**2 + 6*f - 7. Let u(w) = 17*w**3 - 11*w**2 - 11*w + 13. Suppose -4*d + 28 = -d - t, 2*d + 3*t = 37. Calculate d*l(k) + 6*u(k).\nAnswer: 3*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 - -1.1. Let h = 6 - d. Let n = 4 + h. Which is smaller: -2\/9 or n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -16.6, -5, 158382?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r + 3*r + (-3 + 5 - 4)*(2*r - 4*r + 0*r))*(0 + 1 - 3).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-28)*((-22)\/22)\/((-12)\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by -12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 18*u**2 - 261*u - 204. Let x be r(-32). What is the greatest common divisor of x and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244\/7320*(-180)\/(-30)*2\/42\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 2, a: 5, r: 7, d: 1}. What is prob of sequence rr?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 4*r + 11 - 3 = 0, -5*a - 62*r = -67*r - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = 37. Let x = l + -2. Suppose x*o = 15 + 5. Solve o*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3744)*1)\/(sqrt(50)*2))**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 464212*d**5 + 12*d + 61166 wrt d?\nAnswer: 9284240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 30*z - 27*z. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15*u - 125. What is n(8)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjcj when four letters picked without replacement from {j: 9, c: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence por when three letters picked without replacement from obabrbpbob.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26770237.\nAnswer: 13, 2059249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 - 15*n**2 + 5*n**2 + 4*n**2 + 4*n**2. Let b(w) = -6*w**2. Let v(r) = b(r) + 2*k(r). Let q(p) = 99*p**2. Calculate v(q(x)).\nAnswer: 19602*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 2. Let t(h) = -13*h - 28. Let s(a) = 7*a + 14. Let z(d) = 11*s(d) + 6*t(d). Let c be z(-12). Determine r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 4*v**2 - 8*v + 12. Let x be u(4). Let y = x - -238. Calculate the greatest common factor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-105) + 27\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqquqqquq. Give prob of sequence qu.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bc + -152b?\nAnswer: -123c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/5 - -32\/35. Let t = 0.13 - 6.13. Let p = -6.5 - t. Which is the closest to -1? (a) -2 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let v(g) = -4*g**2 + 2*g**2 + 4*g**2 + g**x. Let m(i) = 7*i. What is v(m(c))?\nAnswer: 147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.059936 to 3 dps.\nAnswer: 14.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-1)\/4*(-88)\/22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 2863 = -23*o. What are the prime factors of o?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * 687\nAnswer: 254.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*y - 8, 0 = 2*x + 3*x - 5*y - 50. Suppose x = -3*o - 0*o. Let z = 3 + o. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -187489*j**2\/3 - 107384*j\/3 - 15376\/3.\nAnswer: -(433*j + 124)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63120 and 480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 2820. Suppose 4*m = 4*c - n, 0*m + 5*m = -2*c + 296. Suppose 3*w - c = 70. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-61)\/(-4))\/1 + 96\/(-384). What is the highest common factor of r and 1335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87220\/(-1246)*(-39)\/105.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-106)\/(-22) + 22\/121. Solve 4*z - k*z = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 - 20*z - 3. Give b(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*k + 242 = 396 + 1428. Solve -9 + k = 5*m + 5*c, 4*c - 28 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 141 - 120 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17 + -1 + 8\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.419*-3.\nAnswer: -13.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6601005482\nAnswer: -6601005481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/(c**(-3)*c))\/(c*c**(-7)*c\/((c*c**(-2\/7))\/c*c)*c) assuming c is positive.\nAnswer: c**(195\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g + 0*g**4 - 2\/5*g**5 - 4 + 0*g**3 + 0*g**2. Differentiate d(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 729*j*p*w**3 + 3*j*p*w**2 + 328*j*w**2 + 2*p*w**3 wrt w?\nAnswer: 4374*j*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2233, -5412, -18155, -35996, -58935, -86972?\n\"Answer: -2549*g**2 + 2*g + 4780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*s + 36. Suppose -i - 7 + 22 = 4*c, s*i = -4*c + 36. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -2.2248.\nAnswer: 2.3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 388752043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1054 and 58514?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.46 + 0.86. Sort l, -17, -1, 1 in descending order.\nAnswer: 1, l, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2006*s + 8367. Let c(u) = -4040*u + 16733. Let o(k) = 2*c(k) - 5*m(k). What is the first derivative of o(a) wrt a?\nAnswer: 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 253, -0.3, 12.3?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -200, -432, -800, -1298, -1920?\n\"Answer: x**3 - 74*x**2 - 17*x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -49, -107, -197, -325, -497, -719?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3. Let x(w) = 16. Let m(u) = 11*o(u) + 2*x(u). Let c(r) = -r + 1. Let p be -1*(-2 + 1)\/1. What is p*m(v) + 2*c(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172.73 + -3.73. Let t = 165 - j. Let y = -0.3 + 0.3. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x + 17 - 113 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -34.3. Let i = 3 + k. Let u = 0.3 - -0.2. Which is the third biggest value? (a) i (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/(-116)*(-132)\/(-1). Let r be -1*(6\/g - (-174)\/11). Let f be 5\/(60\/r - -4). Calculate the highest common divisor of f and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 + 3*q**2 + 0*q**2)*(6 - 2 + 4) - 8*q**2 + q - 2*q**2 + 5*q**2 to b*q + p*q**2 + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0485 - 107.9515. Let q = w + 107. Let d = -25\/9 + 98\/45. Which is the closest to -2\/5? (a) 3\/7 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-9 + -4 + 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 607266*s - 4858111. Calculate q(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106\/21 + -33\/7. Let n(u) be the second derivative of 4*u - 3\/2*u**2 + k*u**3 + 1\/12*u**4 + 0. Let x(i) = 1. Give n(z) + 2*x(z).\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 11212220111113?\nAnswer: -11212220111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 440*x**3\/3 - 3569. Let n(r) = -11*r. Determine n(g(m)).\nAnswer: -4840*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 1. Let g be n(1). Let q(b) = -b**3 + 9*b**2 - 9*b + 7. What is the remainder when q(g) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 347490, -4.8, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -64*h**5\/3 - 3184*h**4\/3 + 836*h**3\/3 + 1811*h**2\/3 + 551*h\/3 + 50\/3 = 0.\nAnswer: -50, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5057 or -46\/17?\nAnswer: -46\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1400\/11 - -4211\/33. What is the nearest to -1 in v, -1, 541?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 - 224. Let q be s\/(-23)*-3*(-8)\/(-24). Sort q, -4, 1\/2 in increasing order.\nAnswer: -4, q, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/187*33)\/(18\/(-420)*5)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304422 + 122003?\nAnswer: -132414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Which is the third biggest value? (a) -1 (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21454 = 3*d - 2*y, -2*d + 185*y - 187*y + 14296 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 8. Let o = -4 - m. Let l(t) = 1275*t**2 - t + 4*t**3 - 3*t**3 + 1276*t**2 - 2551*t**2 + 2. What is l(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 + 50 = 0. Let p(o) = -o**3 - 8*o**2 - 3*o. Let x be p(-7). Let d = x - b. Put 5, -3, d in increasing order.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -10*t + 15*t. Suppose t = -s - v + 13, -3*v = 0. Solve 6 = -4*g - s*z + 14, -4*g = 5*z - 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 264 = 0. Suppose -t + 2*t = v. Let m(w) = 13*w**2 + 691*w + 118. Let g be m(-53). Calculate the highest common factor of t and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnsjjjjsnjjjjjnnjjsj. Give prob of picking 3 j and 1 s.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0091 and -2133.\nAnswer: -2133.0091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r - 8. What is the tens digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -45, -67, -81, -81, -61, -15, 63?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 142\/(-8) + 53\/(2491\/846). Suppose 7\/2*h + 13\/4 + r*h**2 = 0. Calculate h.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 637*z - 666*z - 116 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*d\/(d*(((d*d**0*d)\/d)\/d*d)\/d)*d)**37*d**(-2)\/(d**(3\/7)*(d\/(d**0*d))\/d) assuming d is positive.\nAnswer: d**(1026\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 69841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 6*y - 7. Let g be w(5). Let p = g - 45. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39731468*z**4 - 1919193*z**2 + 14*z wrt z?\nAnswer: -953555232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231575 + 2*g**3 + 8*g**3 - 1231575.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4\/12 + 4*t**3\/3 - 5*t**2 + 14. Let n(a) be the second derivative of d(a). Let k be n(-3). Solve -6 = k*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)**(-1\/8))**(-6)*c**(-3\/2)\/(((c*c**(-6))\/c)\/c)*(c*c*c**(1\/7))\/(c*c**2) assuming c is positive.\nAnswer: c**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -880133000 to the nearest one million.\nAnswer: -880000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-6))\/k*k)\/k**(-4))**(-12\/11)\/((k\/(k*k**1))**(-6)*((k\/(k\/(k\/(k\/(k*k**1))*k)))\/k)\/(k*k**1)) assuming k is positive.\nAnswer: k**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*k**2 - 101*k**2 - 156*k**2.\nAnswer: -722*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = -0*z. Let k be z\/10 - (-12)\/15. Which is the third smallest value? (a) 4\/7 (b) 2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 - 171. Suppose 4*v - 3*v - r = 0. Suppose 4*n = 2*y - 150, 5*y = -2*n + 251 + v. What is y rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8.527526 + 0.6862007\nAnswer: 9.2137267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -1\/6*j**3 + 0*j + 2*j**2 + 1\/24*j**4 + 1\/60*j**5 + 0. Calculate z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4713414.\nAnswer: 1\/4713414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -396223.6 - -8.\nAnswer: -396215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 243617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 2*i)*(2 - 4 + 4) - 13*i - 34*i + 10*i + i - 6 + 0*i - 2*i.\nAnswer: -34*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 1, 0 in descending order.\nAnswer: 1, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11210 + 28114 + 26566 - 15809 + 31431 + 25217)*(-4 - 2*p**2 + 4) to w*p + r + s*p**2 and give s.\nAnswer: -213458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/12 - 187\/33.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-12)*p)\/p**(7\/4))**(-22) assuming p is positive.\nAnswer: p**(-539\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckn. Give prob of sequence kc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7417 - -7416.8. Which is the closest to -0.3? (a) x (b) 168 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let t(b) = 2*b + 12. Let d be t(-5). Let v(c) be the second derivative of 4*c + 0*c**3 + 0*c**d - 1\/12*c**4 + 0. What is v(q(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53, -120, -201, -302, -429, -588, -785, -1026?\n\"Answer: -u**3 - u**2 - 57*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, 1 a, and 1 z when four letters picked without replacement from {z: 4, y: 3, f: 4, q: 1, a: 1}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1854*l**4 + 226*l**2 + 218*l**2 + 1880*l**2 + 691*l**2 - 211*l**2 wrt l.\nAnswer: 44496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*b*l**2 + 690*b*l - b - l + 4 wrt l?\nAnswer: 660*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(99) + (-1*(1*sqrt(99) - sqrt(99)) - sqrt(99)))**2 + (4*-1*2*sqrt(1100))**2).\nAnswer: -211188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b. Let u(y) = 3*y - 5. Determine k(u(v)).\nAnswer: -12*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**2*q**3 - 2*i**2*q**2 + 17*i*q**2 + 2*q**4 - 23*q**3 - 2*q wrt q?\nAnswer: 42*i**2 + 48*q - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -85132 + -2?\nAnswer: -85134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9204 and -101\/156.\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-6) + -2)\/((-2)\/105)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:35 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18906886439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a*a**2*a)\/a))**(6\/13))**(-12\/11))**(-8))**(6\/17) assuming a is positive.\nAnswer: a**(-6912\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 6072*n**2 - 2386980*n + 62162800 = 0. What is n?\nAnswer: 28, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -2*n**3 - 82\/45*n**6 + 11\/5*n**5 + 7\/9*n**4 + 0 - 4\/3*n**2 - 10*n + 8\/21*n**7. Solve x(c) = 0 for c.\nAnswer: -1\/3, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6680, 13439, 20192, 26933, 33656, 40355, 47024, 53657?\n\"Answer: -y**3 + 3*y**2 + 6757*y - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgbagbgaag. What is prob of picking 1 j, 1 g, 1 b, and 1 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8686*5.\nAnswer: -43430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g. Suppose g*s = -s + 2. Let i(l) = 8*l**3 - 1. Does 16 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -33. Let j(k) = 3*k + 6. Let l be j(-7). Let f = s + l. Which is smaller: 14\/3 or f?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llql when four letters picked without replacement from pqpllpqpqlqq?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 4. Let a(m) = -5. Let g be 9 + 1 + -3 - 4. What is g*d(u) + 2*a(u)?\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73.4 - 73. What is the closest to 2 in 2\/9, 21, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -11023130210?\nAnswer: -11023130213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 30. Let c = 116 - 66. Calculate the highest common divisor of h and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by 2.\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*c - 84 + 256, -324 = -2*v + c. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0 - 411019*x**2 - 2 - 357965*x**2 - 7137*x - 91765424*x**3 + 4989*x = 0.\nAnswer: -1\/358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/360 + 11*h**3 - h**2\/2 - 2*h + 25. Let r(u) be the second derivative of i(u). Let f(k) = 9*k**2. Calculate f(r(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2203.7 and -0.5?\nAnswer: 1101.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498432 is divided by 249168?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 3*a**3 + 2*a**3)*(1 + 2 + 0).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381 by -674995.\nAnswer: -381\/674995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 3, 1 in ascending order.\nAnswer: 1, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + s**2 - s + 1. Let g(u) = 19*u**3 + 2*u**2 + 20*u - 5. Let v(p) = -g(p) - 3*n(p). What is the second derivative of v(m) wrt m?\nAnswer: -150*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000721159 rounded to 6 decimal places?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 6*g - 10. What is the remainder when o(7) is divided by (3\/4)\/(15\/1240)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((-117)\/(-18)*136\/(-884)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*z - 28 = 2*n, 68 = -3*n + z. Let i(s) = -s**3 - 7*s**2 + 80*s - 1. Let x be i(-13). Let k = n - x. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 7. Let s be g(6). Let o(w) = w**2 + 56*w - 2. Let k(x) = -6*x**2 - 287*x + 5. Let y(p) = k(p) + 5*o(p). Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-8)*(24\/40*-2)\/(18\/(-140))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159580531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a078 (base 12) to base 7\nAnswer: -101435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/5573409?\nAnswer: 1\/5573409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951098 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/4991559 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -646.133?\nAnswer: -646.133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 279826161?\nAnswer: 279826161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 6*h - 7. Let y be t(5). Let v = 7 + y. What is the remainder when 87 is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from ggt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + (-2)\/6. Let q = u - -4. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*h + h = 1, -f + 2*h = -1. Solve -2*m + 1 = f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14975042681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x + 15 = 0. Suppose -x = -3*i + 4. Suppose 5*q = 2*y + 163, 160 = 5*q - 2*y - 3*y. Calculate the greatest common factor of q and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.044 - -12.164. What is m rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 6. Let u(p) = 4*p + 21. Let j(f) = -2*f - 2. Let z(i) = 4*j(i) + u(i). Give -7*g(s) - 3*z(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Suppose -2*s = i*t + 3 + 16, 0 = -t + 5*s - 20. Let l(c) = -c**2 + 4*c + 6. Let p be l(5). Sort p, -1, t in ascending order.\nAnswer: t, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(1934\/967)*2\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376647\/4 + -94163. Let y = -0.6 + -2.4. Sort 4, k, y, 5 in descending order.\nAnswer: 5, 4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((116256\/60)\/(-8))\/((-1)\/5)?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**3 - h**3 + 5*h**3 + (-4*h**3 + 0*h**3 + 2*h**3)*(-5 + 3 + 0) + 2*h**3 + h - h + (5 - 3 - 17)*(-3*h**3 + 3*h**3 + 4*h**3).\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*o - 4 = -2, 0 = 4*m - 2*o - 8. Suppose -8 = 2*k - 44. What is the smallest common multiple of 7\/21*m + (-64)\/(-3) and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 44 - 20*f**2 + 18*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 131559089 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -305890.542.\nAnswer: 152945.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 7:46 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*b + 83 = -3*p + b, -4*p - 28 = 3*b - 109 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-15 + 0 + 2 - (844 + -843)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 1. Let p be l(-2). Suppose -7*t - 4*a = -p*t - 72, 3*t - 54 = a. Do 1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9472 and 4144?\nAnswer: 66304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*z**33*z))\/z))\/(z*((z**31\/z)\/z)\/z))\/((z\/(z**25*z*z))\/z)**(-2\/25) assuming z is positive.\nAnswer: z**(121\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12005 - 2957. Does 116 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18621408 is divided by 193.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let r(b) = 135*b + 81. Let c(h) = 2*h + 1. Let f(a) = 162*c(a) - 2*r(a). Calculate l(f(i)).\nAnswer: -5832*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 6:31 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (96\/24 + (-21)\/6)\/((-2)\/(-4)). Sort -13, -131, u in ascending order.\nAnswer: -131, -13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8902 in -4, -1\/2, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*f**5 - 2*f**2 + 164*f - 1?\nAnswer: 680*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49125353*a**4 + 4140936 wrt a.\nAnswer: -196501412*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646541 is divided by 5082?\nAnswer: 5055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 208.0675 micrometers?\nAnswer: 0.2080675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -16 - -4) + -4 - -25\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-8)\/14)*(-906)\/(-34881)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u + 4*c + 85 = 0, -4*c = -2*u - 50. Let d be ((-6)\/u)\/(8\/(-42)) + 1. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 at least -756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 152.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3416856 - -0.03\nAnswer: 3416856.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204363226 is divided by 701.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11334817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111100100 - -11?\nAnswer: -11000111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 27372*a**2 + 93048210*a + 4147283800.\nAnswer: 2*(a - 6865)**2*(a + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37\/4*x + 9\/4*x**3 + 1\/4*x**4 + 3\/4*x**2 + 6.\nAnswer: (x - 1)**2*(x + 3)*(x + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/11, -0.5, 0.01?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 2*l - 3*l)*(0*l - 2*l + 0*l)*(2 + 1 - 1)*(-1 - 1 + 3) - 2*l**2 + 2 - 2 as s + w*l**2 + c*l and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113220 and 30626010.\nAnswer: 61252020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c1 (base 13) to base 14.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**8\/1848 - 13*m**7\/1155 + 67*m**6\/660 - 57*m**5\/110 + 18*m**4\/11 - 36*m**3\/11 - m**2 + 35*m. Factor i(w).\nAnswer: 2*(w - 3)**3*(w - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233001 (base 4) to base 5.\nAnswer: 44014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -6. Let u be (4\/6)\/(24\/9). Let d = 0.9 + -0.4. Which is the closest to u? (a) d (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 v when three letters picked without replacement from {v: 2, z: 11}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9) + 0)*12. Let j = d - 2. Solve j*h + 3*h = -25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 42950.99um?\nAnswer: 0.00004295099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -266. Let m = 200 - r. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 + 64 - (1 + -40) - 0) + -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.7 - -24.3. Let q = 35 - y. Which is the nearest to q? (a) -1\/6 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 95426.7\nAnswer: -95426.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 5*k + (0 + 3 + 0)*(k + 0*k - 2*k))*(0 + 2 + 0) + 4*k - 3*k - 5*k + (-k + 2*k + 0*k)*(0 - 2 + 0) - 2 - 2*k + 2 - k + 3*k - 4*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/5 - (-20)\/(-25). Let m(f) = 13*f - 13*f + f**j. Let h(l) = 2*l. Calculate h(m(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -51668\/1109 equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*y - y + 0*y)*(-2*y - y + 7*y) + (56*y - 109*y + 87*y)*(-3*y - y + 0*y))*(0 + 1 + 0) to d*y + k*y**2 + v and give k.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 13*d - 5. Let y be f(-7). Suppose -5*m = -y*a + 1718, m + 341 = -0*m + 3*a. Let r = m - -544. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) - 3\/(-2). Let h(s) be the first derivative of -1\/3*s**3 + 1\/2*s**4 - 14 - 2*s - 1\/2*s**2. What is h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4342384761.\nAnswer: 3, 11, 13, 821, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**6 + 48*n**5 + 6*n**4 - 4424*n**2 wrt n?\nAnswer: -1080*n**3 + 2880*n**2 + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12 + 7\/3. Suppose -5*w + j*w = -5*f + 70, -4 = -2*f. Is (-2)\/5 + (-508)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2609 - 10134 = -175*z. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*c - 0*c. Suppose -8*x + 4*x = -c. Suppose -4*i + 6*m - m = 0, -3*i - 3*m = -27. Solve i*z = 5*f, 0*z - x*f = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/32*8*(-5)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**3 + 5*r**2 + 10*r + 30. Is l(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-125))\/(13\/780*-3)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3 and -87\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 29*z - 135 - 158 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*h**3 + 0 + 0*h - 3\/5*h**4 - 3\/5*h**2.\nAnswer: -3*h**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -25. Let v be (-3*s\/(-6))\/(-1). Suppose 5*n - 16 = v*b + 47, 2*n = 2*b + 24. What is the highest common factor of 65 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + -1000000?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:28 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a. Let j(o) = 4*o - 3. Let c(u) = 7*u - 5. Let y(w) = -6*c(w) + 10*j(w). Give m(y(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*i**2 - 2*i + 7\/3 = 0 for i.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2746, -5497, -8258, -11035, -13834?\n\"Answer: -s**3 + s**2 - 2747*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1294*b**3 + 1291*b**3 - 28*b - 121*b.\nAnswer: -3*b**3 - 149*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15965, 63625, 143055, 254255, 397225, 571965, 778475?\nAnswer: 1016755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 132417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - 0 - (-160)\/(-8 + 24). Which is smaller: h or 11\/68?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 148135*d**3 - 296290*d**2.\nAnswer: 5*d**2*(d - 29629)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/15*w**2 + 8\/15 + 2\/5*w = 0. Calculate w.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366 - -569. Suppose -3*a + o = -l, 0 = -5*a - 4*l + 268 + 42. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5361 + -0.4361. Is b at most 264.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9370 - -9372. What is k in 1\/3*k**3 + 17\/3 - 11*k + 5*k**m = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let j be q(3). Suppose 3*x - 36 = -j. What is the second derivative of -5*i**4 - x*i + 3*i + 9*i**4 - 9*i**4 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**3\/3 - 21*o**2\/2 + 274*o - 67. Let x be i(-30). Let c = -1.7 - -2. What is the third smallest value in -1\/2, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8\/5, 0.03 in increasing order.\nAnswer: -4, -8\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 395293425*k**2 - 1128*k - 43653.\nAnswer: 790586850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -115*q**2 + 5*q - 16. Let b(o) = 111*o**2 - 6*o + 20. Give -3*b(y) - 4*w(y).\nAnswer: 127*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t. Let h be l(-1). Suppose -2*m = -h + 207. Let y = m + -204. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.05 - 10. Let t = f - 0.05. Let u = -40.45 + 40.85. Put u, t, -7 in increasing order.\nAnswer: -7, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:29 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/44)\/(3\/(168\/(-4)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4165*m + 377750 = -134740 + 83495 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309277160 by -619.\nAnswer: 499640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**3 - 4*u**2)*((u + u - 3*u)*(-11 - 9 + 7) - 5*u + u + 2*u)*(83*u - 118*u - 96*u).\nAnswer: 1441*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {p: 7, f: 3, x: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -80. Let r = 60 + o. Let z be (24\/r)\/((-2)\/(-15)). Solve -z = -d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -83.5\nAnswer: -33.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19215111194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umtu when four letters picked without replacement from mtummdtxtmtumd?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150377297 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902057?\nAnswer: 13, 69389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -9266, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/12 - 67*b. Let l(o) = 13*o**2 - o. Give z(l(m)).\nAnswer: 169*m**4 - 26*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 5*s**2 + s**2)*(2*s**3 - 4 + 4) + 25*s**5 - 83*s**5 - 24*s**5 - 3*s + 3*s**5 + 3*s.\nAnswer: -81*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -968010 (base 11) in base 2?\nAnswer: -101111001111010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4\/4 - 23*c**3\/2 + 30*c**2 - 8*c - 32 = 0. Calculate c.\nAnswer: -4\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32690 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 138, -8, 484, 2016, 4990?\nAnswer: 9808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49703750?\nAnswer: 2, 5, 17, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -3*m - 1, 3*c = -4*m + 6. Find the third derivative of 5*d - 2*d + c*d + 293*d**5 - 9*d + 120*d**2 wrt d.\nAnswer: 17580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3 - 28\/(-8))*0. Let h = 10 + -8. Let p = 7 - 4. Which is the closest to f? (a) h (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/11 + 11570*j**3\/11 - 6*j**2\/11 - 34714*j\/11 - 23140\/11 = 0.\nAnswer: -5785, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 4*k, -5*u + 16 = -2*k - 19. Suppose u*m - 10*m = -6. Which is the smallest value? (a) 5\/3 (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -5?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7686777 is divided by 404559.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -254754 + -5?\nAnswer: -254760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6877479856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 6. Suppose 2*j + 5*x - 15 - 26 = 0, -49 = -3*j + 5*x. Let a be 0 + -4*1\/j. Are d and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -307 and -305 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:18 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-6)\/b*b)\/b**(-3\/5) assuming b is positive.\nAnswer: b**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w + 20. Let i(z) be the third derivative of z**4\/12 + 7*z**3\/6 - z**2. Let t(a) = 11*i(a) - 4*y(a). Differentiate t(b) with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4286 by -23.\nAnswer: 4286\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.86 - 0.21. Let s = 0.07 + b. Suppose -x = 1 - 0. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u + 21*x - 22*x, -3*u - 2*x - 23 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 29, 31?\n\"Answer: 2*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(35\/(-25)))\/(1\/1). Suppose 0 = -q*z + 1010 + 55. Suppose 0 = 9*l - 84 - z. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 416, -4, -5, 3 in ascending order.\nAnswer: -5, -4, 3, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v, -4*i + 3*v + 143 = 2*v. Calculate the remainder when i is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-3))\/((-1)\/(-3)). Let w = -60 + 100. Suppose 55 = 3*g + w. What is the greatest common divisor of x and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -592*j. Let u(d) = -3*d. Determine c(u(l)).\nAnswer: 1776*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/2)\/z)\/((z**(-3\/20)*z)\/z))\/(z**2\/z)**(-9\/13))**(-31\/5) assuming z is positive.\nAnswer: z**(-10819\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s - 1. Let g(o) = -7*o + 1. Let w(c) = 5*g(c) + 6*r(c). Let q be w(5). Suppose -306 = -4*a + 2*h, q*a + 2*h - 166 = 160. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -75\/11, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**5\/20 - j**2\/2 - 4*j. Let d be y(-2). Solve 3*z + 3 + 13 = -5*t, -z = -4*t - d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4 = -u, -5*g - 12 = 16*u - 13*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 9956?\nAnswer: 9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 13*y**2 - 6*y - 6. Let b be (-5)\/2 - (-5 + 72\/(-16)). Calculate q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 33, 52, 71, 90, 109?\n\"Answer: 19*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Suppose 25*y = 20*y + 160. Let x be 14\/48 + (-4)\/y. Which is the third smallest value? (a) -0.4 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 - 164. Differentiate -18*k + 41 + 18*k - 7 - 54*k**f wrt k.\nAnswer: -162*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hruropoyppr. What is prob of sequence rpy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(1 - 18\/21). Let z(p) = -7*p - 10. Let n(r) = -10*r - 15. Let h(s) = 5*n(s) - 7*z(s). Let l be h(-4). Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a + 916. Suppose 4*y + a = -51. What is the units digit of 2\/(-3) - y\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:23 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(77) + sqrt(77)))\/(sqrt(704)*-2 - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let m be c(2). Let x(z) be the second derivative of 0*z**2 + 0*z**m + 0 - z - 1\/6*z**4. Let v(w) = 2*w. Calculate x(v(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11082*r = -20262 + 66469 + 175433 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 41. Suppose 5*h - n - 312 = -x*n, -n = -2. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -4*s, -6*w - 3*s - 10 = -8*w. Suppose y = 5*y + 3*p + 8, -y + p + w = 0. Suppose -y = -3*v + 11. Solve -v = 2*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004536 to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2807627 millimeters to centimeters.\nAnswer: 0.02807627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 57\/5 of a hour?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/(-8) - (-13 - 1704). What is the greatest common factor of 28 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) -2\/71 (c) 2.9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 + m. Calculate f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d4b (base 15) in base 14?\nAnswer: -37a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*16)\/((-170)\/(-4)*(-1198)\/(-20366))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 5. Let u be l(8). Solve 0*x + u*x + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68876.\nAnswer: 2, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 8590522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 49. Solve v + 2 = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2642156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/585 and 38\/81.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.024 + 0.056. Which is the third smallest value? (a) m (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 81*x**4\/2 + 250*x + 9. What is the derivative of d(r) wrt r?\nAnswer: 486*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m**3 + 1\/168*m**4 + 0 - 1\/210*m**5 - 3*m**2 + 0*m + 1\/840*m**6. Factor p(q).\nAnswer: q*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*j + 2*j, -4*z = -2*j - 12. Let r = 2633 - 15739\/6. What is the common denominator of (208\/1728)\/(z\/8) and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -593, -902, -1231, -1586?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*x - 29 = 51, x = 4*n + 346. Let d = -173\/2 - n. Which is the smallest value? (a) -1\/4 (b) d (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -17. Suppose -c*l = 4*d + 2, 0*d + 10 = -2*d. Let u(s) = -s**3 + 6*s**2 + 3*s - 9. Let b be u(6). What is the greatest common factor of l and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(8\/10)\/((-180)\/50).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -158)*(-2 - 15\/(-6)). Let b = n - -161. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(3 - 2 - 4)*(-c - 3*c + 3*c) + 0*c - c + 3*c + (0*c + 0*c - c)*(-2 - 3 + 4) in the form k + q*c and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/9 + -2)\/((-2)\/(-3)). Let s(y) = y**3 - 6*y**2 + 9*y - 2. Let v be s(a). Suppose -4*t + v = -22. What is the highest common divisor of t and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from vvvvvmvvmvvvvvmv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(-19)\/((g\/(g\/g**(6\/5)))\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(-1382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 20*r + 11. Give k(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 1966, 3936, 5906, 7876?\n\"Answer: 1970*x - 1974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -1 + -117)\/((-1)\/3). Calculate the highest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/250 + -993\/1750. Let m = 0.3333 + 0.1667. Which is the smallest value? (a) q (b) 3 (c) m (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(2\/13)\/m)\/m)\/m)\/(m*m*m\/(m\/(m\/(m**(-2\/5)\/m)*m))*m))\/((m*m\/(m\/(m**(3\/4)*m*m*m)))\/(m**3\/m)) assuming m is positive.\nAnswer: m**(-2859\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 29, 9, -49, -163, -351, -631, -1021?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212 + -200 - (12 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(2 - 2) + -2. Let i be (3\/c)\/(2\/20). Is 0 - -1 - 3 - i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6620768*f**3 + 4*f**2*g - 10*f*g + f - 233995*g wrt f?\nAnswer: 39724608*f + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-1 + 7). Let l = -6643 + 6653. What is the greatest common factor of l and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Suppose 4*j + 17 = 29. Let z(k) be the second derivative of k + 0 - 1\/3*k**j + 0*k**2. Calculate c(z(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 203490680 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3449598070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6566, -4710, -2846, -974, 906, 2794?\nAnswer: 4690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 7:06 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 120. Let z be 1\/(-2) - g\/8. Let i = z - -14. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/432076 and 49\/2.\nAnswer: 432076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 8777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose -7*t - 113 = -3*y - 2*t, 0 = -4*t + 20. Suppose 170 = r*b + y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + (-101469)\/4)*(-460)\/575?\nAnswer: 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*p**3 + 48*p**2 - 48*p**2 + (-4*p**2 + 0*p**2 + 3*p**2)*(3*p - 4*p + 0*p) + p**3 - p**3 - 2*p**3 - 7*p**3 + 4*p**3 + 2*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1497 - 1882 + 4981)*(0*v + 3*v + 2*v + (4 - 1 - 2)*(v + 2 - 2)).\nAnswer: 9612*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -12 - 0. What is the units digit of (l*1)\/(417\/(-105) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:44 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737 and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -0.615695609.\nAnswer: -4.384304391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1, 0.01, -6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:19 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22202 (base 5) to base 9.\nAnswer: -2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -82, -193, -358, -583?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let y(v) be the third derivative of 7*v**5\/12 - 10*v**3\/3 - 18*v**2. Let f(q) = -5*q**2 + 3. Let t(u) = 20*f(u) + 3*y(u). Give t(l(s)).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11*g = -13*g + 13, 14 = 2*m + 3*g. Is (-25)\/75*(-11499)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73)\/4 + 2\/(-8). Let y = r - -19. Let c = -0.0878 + -0.1122. What is the biggest value in -5, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 20*g + 12. Let w = 21313 + -21321. Determine c(w).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 12936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 969 + -487. Suppose 0 = 23*g - 27*g - 4*a + 476, 4*g = -2*a + u. Calculate the highest common factor of 183 and g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/20 - x**4\/2 + 3*x**2\/2 - 5*x. Let i be r(6). Solve -3 - 5 = -p + 5*o, -2*o + 7 = i*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 833 + -834. What is the fourth smallest value in -22, -0.02, -0.1, y?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3 + 2857*c**2 + 475*c + 15020856 wrt c.\nAnswer: 9*c**2 + 5714*c + 475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66281.859 nanoseconds to hours.\nAnswer: 0.0000000184116275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4\/5)*z**7*z)**(-5\/4)\/((z**(3\/5)*z)\/z**(3\/4)*((z**(-5\/3)*z)\/z)\/z**(2\/5)) assuming z is positive.\nAnswer: z**(-271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**4 - 4*x**3 - 2*x**2 + 18*x - 18. Let p(i) = -5*i**4 + 20*i**3 + 11*i**2 - 91*i + 91. Let r(j) = -2*p(j) - 11*u(j). Solve r(n) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-18 - (19 - -22) - 0)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**6\/6 + 6*m**5\/5 - 4*m**2 + 3*m - 133. What is the second derivative of y(t) wrt t?\nAnswer: -20*t**3 + 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 184116004?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9. Let t = o + -6. Let n = t + 16. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 + 225. Let c be 5\/2*v\/(595\/(-56)). Sort 5, -12, c.\nAnswer: -12, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 879983 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 70*m - 312. Let p be b(65). Put p, 2, 1, -41 in descending order.\nAnswer: p, 2, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1\/5 (b) 0.1 (c) -0.5 (d) -5683 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 times -0.1\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.5801 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2973940.\nAnswer: 2, 5, 241, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43468 divided by 1\nAnswer: 43468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + -0.3. Let v = -7 - 264. Let c = v + 269. What is the nearest to 0 in z, c, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2476 - 1503. Suppose 1453 + p = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246641 + -143008. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50468\/(-12617))\/((-2)\/(-53))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(1\/5)*u)\/u))**24\/((u\/(u*u*u*u**(-1\/21)\/u*u*u))\/u*u**(-1)) assuming u is positive.\nAnswer: u**(2536\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74567 - 74565. Factor -10\/21*k**2 - 8\/21 - i*k.\nAnswer: -2*(k + 4)*(5*k + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20 (b) -0.3 (c) 0.4 (d) 5 (e) 1\/68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32884 in -2\/7, 1\/3, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.3 and 153.98196.\nAnswer: 158.28196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by 9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1936\/30373 smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 1 - 8)*(-106*a**3 + 218*a**3 + 347*a**4 - 110*a**3) to the form x*a + w + b*a**2 + c*a**4 + g*a**3 and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15265 + 16414 - 42480*u - 3*u**3 + 10093 + 711*u**2.\nAnswer: -3*(u - 118)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79061646047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4 + 1272*p**3 - 1293*p**2 - 25460*p = 0. What is p?\nAnswer: -1273, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/32 and 97\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 277*l - 746. Determine s(95).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - -12 - 33 - (4 - (-4 + (-448)\/(-148))).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(612) + 2 + sqrt(612)) - (-6*sqrt(153) + sqrt(17) + -2 + 1))**2.\nAnswer: 1210*sqrt(17) + 51546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 57*i**2\/2 - 783*i\/2 - 841\/2.\nAnswer: -(i - 29)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -22*z**3 + 255*z**7 - 81 - 245*z**7 - 5. Find the third derivative of t(i) wrt i.\nAnswer: 8400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 183. Give c(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.51003 + -1.51. What is s rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173990453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -6 (b) -0.1 (c) 1 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 988800*z - 988797*z - 501.\nAnswer: 3*z - 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4.453062078327+-16\nAnswer: -20.453062078327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66042 + 66037. Suppose 6 = -3*k - 3. Put -1, x, k in increasing order.\nAnswer: x, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6210 and 966?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:49 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 = 3*v, 2*q + v - 9 = -3*q. Let h = -16 + 20. Suppose -2*b + 8 = 4. Solve -b = q*c + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 5348*w**3 + 570960*w**2.\nAnswer: 4*w**2*(w + 117)*(w + 1220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 938.8541 to 1 decimal place.\nAnswer: 938.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 + 9*z**2\/2 - 2. What is the second derivative of l(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -113*r**3 + 2*r**2 - 15. Let p(d) = -112*d**3 + 3*d**2 - 15. Let u(x) = 6*c(x) - 5*p(x). Find the third derivative of u(f) wrt f.\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -0.11, -1\/3, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031271 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2790421237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 3*m = 15*n - 49931, 24970 = n - 3*m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-17)\/816 - ((-48)\/(-160))\/(132\/(-590)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 24162118 - 24162118.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12 = 3*z. Let c(j) = j**2 - 4*j - 6. Let a(n) = n + 13. Let o be a(-11). Let q(x) = -11 + 11*x**o - 27*x**2 - 7*x + 18*x**2. Give z*q(l) - 7*c(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*g + 15, 5*g - 9 = -5*z + 31. Suppose 2*v - 5 - g = 0. Let d be 1*(5 - 2) + 1. Solve 20 = -k + v*k, 4*q = 3*k + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 737760 and 68730.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.485 * -2.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 10*m**2 + 19*m + 13. Determine w(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20825)\/(-42) + (-2)\/(-12) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -1\/5 (c) -7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -896a9b (base 15) to base 4\nAnswer: -120333322313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) -0.3 (d) 0 (e) 24\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/31 (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4170925)\/(-19547125) + (-4)\/(-230).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 61. Suppose -4*i - 9*f + 207 = -d*f, -2*i + 96 = 4*f. Let k be i\/7 - (-2)\/(-7). Which is smaller: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 52, 59, 68, 79, 92, 107?\n\"Answer: h**2 + 2*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1614293 (b) 0.4 (c) 1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2. Let c(u) = 12 - 12 - 6*u - u. Calculate m(c(k)).\nAnswer: -98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1682 - -1624) + (41 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3, 52, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let n = -387.1 - -365. Let b = n + 22. Sort d, b, -4 in decreasing order.\nAnswer: d, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 355. Suppose 0 = 15*a + i - 1108. Calculate the least common multiple of a and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) - (sqrt(196)*1 - sqrt(196)))*5 - sqrt(196))\/(-2*sqrt(252)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q - 256. Let o(j) = -4*j + 85. Determine 8*o(k) + 3*s(k).\nAnswer: k - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 576 + -194. Suppose 0*x - j = -2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k + 28. What is the units digit of (k\/(-2) - -1)\/(9\/300)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1887743337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/4841580 and -53\/101928?\nAnswer: 9683160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 - 4\/6. Let v = -0.02 + 0.02. Let g = 24 + -22. Which is the third biggest value? (a) g (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 1313456*f + 36776800\/7.\nAnswer: -2*(f - 4597100)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at most as big as 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000442705 rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3 = t, a + 2*t - 6 = 6*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*t = 16 + 19, 2*t = -j + 14. Let a = 40 + -4. Suppose -4 = -3*k - 2*i, -4*k + j*i + a = -i. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 79 = -21. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(54)\/(1*sqrt(2)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-442)\/39. Let q(y) = -y**3 - 14*y**2 - 19*y - 2. Let c be q(s). Let u = c - -130. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1232)\/(-312) + (-22940)\/2886 + 7 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 - 105. Let z = 216.0001552 - k. What is z rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*l - 7 + 2, 0 = -3*n - 2*l + 5. Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by -7?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2471291 (base 10) to base 12\nAnswer: 9b218b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 24*m**2 - 77*m + 105. Let h be a(-27). What is the closest to 1 in h, 242, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 1. What is the lowest common multiple of -8 + 11\/(110\/300) and d(3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.866 + 279\nAnswer: 284.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 437783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34234, -34233, -34232, -34231, -34230, -34229?\nAnswer: -34228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 36*t**5 - 334580*t**4 + 64176492*t**3 - 3074241516*t**2 - 3488299808*t - 349547184 = 0.\nAnswer: -1, -1\/9, 98, 9099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 813, 1563, 2629, 4023, 5757, 7843, 10293?\nAnswer: 13119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119864 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 + 601*a**2 + 1816*a - 2416 = 0.\nAnswer: -4, 1, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*g = -65, 5*j - g - 53 = -0*j. Find a, given that -j*a**2 + 193*a**3 - a**2 - 197*a**3 + 16*a = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86876264900 rounded to the nearest 1000000?\nAnswer: 86876000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10114213 - 110?\nAnswer: 10114103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/18 - (11 + (-66770)\/198)) + 8 is divided by 171?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 322.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 914 or 2\/11?\nAnswer: 914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4913 divided by -6\nAnswer: -4913\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402321 is divided by 80373.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/15 and -36\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 5. Suppose -d = -5*r - o - o, r - o = 10. Let p = r - -13. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -130. Suppose -2*n - s = -4*n. Suppose -104 + n = -3*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 73*r - 289. Let o be y(4). Solve 16 = 4*f - l, 0 = -2*f + o*l + 1 + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from tetuouyyuuteuuy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000922408736 rounded to seven decimal places?\nAnswer: -0.0000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**3 + 4*h + 1689833 - 1689834 - 51*h**3 - 4*h.\nAnswer: -71*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1321*r + 1325*r - 324 = 2673*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 362 (base 8) to base 10\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1797, -1717, -1647, -1593, -1561, -1557?\n\"Answer: -d**3 + d**2 + 84*d - 1881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 + 17*a - 131)*(1184 - 870 + 1490 + 761) - a + a - a + (2*a + 0*a + 0*a)*(2 + 1 - 5) - 2 + 2 + 2*a.\nAnswer: 43602*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*t - 539*t + 1068*t + 7*t**2.\nAnswer: 7*t**2 - 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.72 or -4208?\nAnswer: -4208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33*(-26)\/(-858))\/(1\/7). Let o be -1*(0 - (0 + 0)). Which is the second biggest value? (a) o (b) t (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 31, -4, -3.\nAnswer: -4, -3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 7*w - 3. Let c be q(6). Let o(k) = c - k + k + 2*k - 4*k. List the prime factors of o(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 43 = -4*g + 315, 136 = 2*g + 4*d. Suppose -8*m = -g + 4. 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 b be -2 + 0 - (-50)\/1. Suppose b - 4 = 4*q - 4*y, 4*q + 3*y - 23 = 0. Let l(u) = -u**3 - 4*u**2 + 2*u + 5. Let w be l(-5). Solve q*x - 3*x + w = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.30265 rounded to one decimal place?\nAnswer: -91.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5 - 12\/5*j**3 - 28\/5*j - 6*j**2 - 1\/5*j**4.\nAnswer: -(j + 1)**3*(j + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111000000010 (base 2) in base 13?\nAnswer: -1b00a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*-6*(sqrt(72) + -1))**2.\nAnswer: -1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -42431213?\nAnswer: -42431216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/17 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3737 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - -1103?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.5926 centuries in decades?\nAnswer: 4475.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268 - -533. What is the highest common divisor of s and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-9))\/(3\/(-27)). Let v(b) = -b**2 - 6 - 12*b + 18*b + y*b. Let u be v(15). Solve 3*x - u = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/12)\/(-11 - (-762)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrneewrqrnreeeer. Give prob of sequence wn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19111 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(325) + sqrt(325) + 0 + 1 + (sqrt(13) - (-1 + sqrt(13)))*1 + -3*sqrt(1300))**2.\nAnswer: 40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -79. Suppose -9135 = -r - b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20167 + 60837 = 35*w. What are the prime factors of w?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8613.6 - 8614. What is the second smallest value in 96, i, -3\/2, -0.2, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/5 - 151*b**2\/5 - 5512*b\/5 - 4732 = 0. What is b?\nAnswer: -26, -5, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 16. Let b(r) = 2*r - 10. Let f(c) = 3*c - 11. Let d(l) = 5*b(l) - 4*f(l). Let n be d(u). Calculate the greatest common factor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2\/7*u**3 + 51\/7*u + 79 - 9\/7*u**5 - 99\/14*u**2 - 1\/14*u**6 + 51\/14*u**4. Find h, given that p(h) = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1090 = -659. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*y + y - 9, 0 = y - 3. Calculate the smallest common multiple of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n**2 - n + 1. Let d(r) = 8*r**4 + 2*r**3 - 10*r**2 + 3227*r - 2. Let b(q) = -2*d(q) - 4*v(q). What is the second derivative of b(f) wrt f?\nAnswer: -192*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -560 - -563. What is the closest to 0.029 in -1, -1\/4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821 is divided by 220.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004180892 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900434101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 + -126. Solve t = -5*a - i - 17, -8 = 4*t - 4*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 7078\/715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438 divided by 5.\nAnswer: 438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.12 and -365477039.\nAnswer: -365477030.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 1\/5, 0.5, 12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42b42 (base 16) to base 14.\nAnswer: 717d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 30\/1819657?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rijsjpl. Give prob of sequence sj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(2\/31))\/z*z)\/(z*(z**(-2\/5)*z)\/z))**(2\/35)*(z*(z**(-2\/13)\/z*z)\/z*(z\/(z*(z\/(z**(1\/8)*z))\/z)*z)\/z)\/(z**(-5)\/z**0) assuming z is positive.\nAnswer: z**(3411981\/564200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 4*u**6\/15 - 3*u**2\/2 + u - 9. Let b(c) be the first derivative of h(c). Differentiate b(k) with respect to k.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {b: 3, a: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 2\/5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*q + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9773)\/(-2) + 0 + -7*8\/(-112).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4905, -4855, -4799, -4737, -4669, -4595?\n\"Answer: 3*z**2 + 41*z - 4949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1) - (-4 - (-7 + 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-49) + (-44)\/28. Which is smaller: u or -1\/49?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ec4c (base 16) to base 2.\nAnswer: 1110110001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3922, -0.267, -6\/5?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 5*m - 1. Let a be g(-5). Let r be (a + 0 - -1) + 2. Suppose 0 = -r*o, -t + 0*t - 3*o = 0. Solve -1 = c, -14 = -t*k - 2*k + 4*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-35322)\/(-2842)*5\/9\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*z + 282*z**3 - 81*z - 48*z**3 as m*z**3 + n + p*z + b*z**2 and give m.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5861237, -5861244, -5861251, -5861258, -5861265, -5861272?\n\"Answer: -7*s - 5861230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 665 - 3?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 3*o + 17, 33*d - 28*d = -o - 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/128*8\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + 19*f**2 - 61*f - 54. Let i(j) = 2*j**3 + 6*j**2 - 21*j - 19. Let t(a) = 3*g(a) - 8*i(a). What is t(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 2. Let x be (6\/(-9))\/(i\/(-27)). Solve -3*t - 3*l = -0 + 18, -6 = 5*t - x*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(5*(-8)\/60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208059 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1784637, 1784734, 1784831, 1784928, 1785025, 1785122?\n\"Answer: 97*f + 1784540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9133, -17904, -26659, -35392, -44097?\nAnswer: -52768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w**2 - 4*w. Let p(z) = z**2 + z. Determine 5*n(k) + 20*p(k).\nAnswer: -55*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1848? (a) -22 (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 15*o + 8. Let z be u(-15). Suppose 5*l - 3*k - 35 = -z*k, 0 = -4*k + 16. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j**3 - 7*j - 96. Let d(q) = 58*q**3 + 37*q + 479. Let l(v) = 2*d(v) + 11*m(v). Differentiate l(i) wrt i.\nAnswer: -48*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 27615*c + 27620.\nAnswer: -5*(c - 5524)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soosss. Give prob of sequence so.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 3*i**2 - 571*i + 2271. Let t be s(4). Solve 0 = -x + 19*d - 16*d - 6, -t*x + 2*d = 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.2 - -13.8. Let o = s - -8.4. Which is the second biggest value? (a) 4 (b) -0.02 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 35930*n + 2. Let g be l(9). Let w be 6\/(-21) - g\/98. What is w rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/((t\/t**(1\/26))\/t)))**(-3) assuming t is positive.\nAnswer: t**(-75\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.115958 - -0.116. Round h to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*v + 18 = 0, 4*n + 0*v = -2*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 1. Let w be h(1). Suppose 4*f - w = 2*f. Suppose 0*v + 14 = -f*v + 4*k, k = v + 4. Put v, -5, 2, -3 in decreasing order.\nAnswer: 2, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-4)*(2\/2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {w: 5, e: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7701, -7792, -7943, -8154, -8425, -8756?\nAnswer: -9147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 + 4*o + 3*o - 2 - 2*o - 31*o**3 - 5*o**2 + 32*o**3. Let a be 4\/14 - (-38)\/14. Give j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 125*w**6\/6 - 105*w**5 + 190*w**4 - 488*w**3\/3 + 72*w**2 - 16*w + 1. Factor t(u).\nAnswer: (u - 2)*(u - 1)*(5*u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5377361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -774886 * 0.09\nAnswer: -69739.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 546045 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 + 106 - 236)*(x - 3*x + 0*x) - 2*x - 13*x + 0*x + 3*x to the form y + w*x and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1200201 (base 3) to base 9\nAnswer: -1621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b - 5085*b**2 + 54*b**2.\nAnswer: -5031*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -484 - -758. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 2 - (-20 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 0.2, -2, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(15)\/sqrt(3) + -2.\nAnswer: -7 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 10*q = -2106. Suppose 0 = c - 38*c + 666. Calculate the highest common divisor of c and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -3.06. Let q = 41.28 - 41.18. What is the closest to q in n, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 = -5. What is the smallest common multiple of b and 3*-1*(-6)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 11*a + 3. Let u be k(-5). Let v be 34\/9 + (-6)\/u. Suppose 41 = 3*r - v*q, -2*r - q = -0*r - 20. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y - 95. Let r be g(-11). Suppose -4*x + 934 = i + i, 4*x - 940 = r*i. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -357*c**3*h**3 - 944*c**2*h**3 - 17*c*h**2 - 135*c*h - 2*h**3 wrt c.\nAnswer: -2142*c*h**3 - 1888*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -23. Suppose x = 119 + f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7*d**5\/12 - 235*d**4\/24 - 35*d**3\/3 + d**2 - 38*d. Suppose p(h) = 0. What is h?\nAnswer: -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2557 - -2585. Put -1, -31, j in descending order.\nAnswer: j, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -87*u + 261. Let m(r) = -131*r + 390. Let k(s) = 8*b(s) - 5*m(s). Differentiate k(z) with respect to z.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169103.00044 - 169086. Let t = 17 - h. What is t rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3601 divided by -1\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25 + -1*(-4 + (-1)\/1). Let j be (-1360)\/l*(1\/(-2) + -1). What is the highest common divisor of 51 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1538 and 4.\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00312755623 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 5 = 29*k. Suppose i + 5 = 2*u, u = 2*u - 3*i - k. Let l(r) = 2*r**3 - 4*r**2 + r + 2. Let x be l(2). Solve 0 = x*a - u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.036 and -36.\nAnswer: 1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18241127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61690391 to the nearest integer?\nAnswer: 7854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-5)\/(-2)) + 15\/10. Let x(k) = 2*k - k - 2*k**2 - 1 + 3*k**2. Let p(q) = 4*q**2 + 2*q - 4. Calculate i*p(b) - 3*x(b).\nAnswer: b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354*u + 772*u - 417*u - 1001*u**3 - 2 - 537*u**2 wrt u?\nAnswer: -6006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -3*d**5\/100 - d**4\/20 + d**3 - 12*d**2\/5 + 173*d + 141. Let n(t) be the first derivative of s(t). Factor n(f).\nAnswer: -3*(f - 2)*(f - 1)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/19)*l**(4\/7)\/l*l**(-11)\/l**(10\/3) assuming l is positive.\nAnswer: l**(-5764\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + (-38 - (-55 + (34 - 44)))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 56719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + -5 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*p**3 + 0 + 0*p - 1\/4*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 2*u - 305. Give v(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.73 - -39.2. Let d = 0.47 - l. Put 3, 0.2, -0.3, d in decreasing order.\nAnswer: d, 3, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23120 (base 5) to base 9.\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. What is the lowest common multiple of 42\/3*4\/8 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 1 (b) -0.07 (c) -3017 (d) -1.2 (e) 4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*j - 19, 4*j + 3*f - 11 = 2*j. Suppose 0*o = 5*y - o - 337, j*o + 343 = 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*q - 17, -12 = -2*g - 0*q - 2*q. Suppose -3*c - 3*l + 15 = 0, -5*l + g = -0. Solve -r - 15 = c*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - c - 1 = 0, -2*s - 10*c = -12*c - 2. Suppose 89 = 5*n - 3*x - 66, s = -2*n + x + 61. What is the highest common divisor of 224 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10118960 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1642*a = -1615*a - 27. Which is greater: 26\/51 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/39*(-495)\/(-378))\/((-20)\/(-6)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1539, 2053, -4593, -24537, -63917?\n\"Answer: -1023*y**3 + 2558*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78626021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-404 + 836 - 398)*(2*q**3 - 4*q**3 + 0*q**3) to z*q**3 + f*q**2 + v*q + c and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*g + 3944*g = 96696 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**3 + 26*t**3 + 8*t**3 + 3*t**3 - 4*t**3 - t**3 + (-t**2 - 3*t**2 + 5*t**2)*(8 - 8 - 2*t) + 14*t**2 - 14*t**2 + 23*t**3.\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/3 - 28*x**4\/3 + 68*x**3\/3 - 68*x**2\/3 + 8*x = 0. Calculate x.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203 (base 7) in base 8?\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w**3 - 38*w**2 - 32*w - 98. What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1536, 1528, 1520, 1512, 1504, 1496?\n\"Answer: -8*j + 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - y. Let d = -1 + 4. Let u(s) be the first derivative of -s**4\/4 - 26. Determine d*u(h) + f(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 + 91. List the prime factors of 568\/36*-3*(-3)\/c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1352 and 0.1.\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 41*c. Let p(t) = 15*t**2 + 16*t - 16. Let l(s) = -10*s**2 - 10*s + 10. Let b(q) = 8*l(q) + 5*p(q). Determine b(n(j)).\nAnswer: -5*j**4 + 410*j**3 - 8405*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/9 + 32*i\/3 - 256 = 0. Calculate i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2116*-3.\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 435 - 205 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 2, l: 7, m: 1, e: 5}. What is prob of sequence bl?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 5*c - c - 3*z, -4*z = 5*c - 190. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10*h**(-9)*h*(h\/h**(1\/6))\/h**(-2\/3) assuming h is positive.\nAnswer: h**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 2*l + 15. Is 24 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(6*(sqrt(28) + sqrt(7))) + 1.\nAnswer: sqrt(3)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - w**5 + w**5 + (-3*w**2 - 2*w**4 + 3*w**2)*(w - 3*w + 0*w) + 2 - 2 + w**5 + (2 + 0 + 0)*(5*w**5 + 2*w**2 - 2*w**2).\nAnswer: 17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 26*i**2 - 175*i - 60. What is m(-11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2. Let x(a) = -5*a**2. Determine x(r(d)).\nAnswer: -245*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-140)*427 - 15) + 346\/(-8)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.052 + -15.348. Let i = 0.4 + -15.4. Let z = i - t. Which is the second smallest value? (a) 0.2 (b) z (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*m - 4*j, -5*m = -4*j - 5 - 0. Solve i + i + 9 = -s, m*i + 2*s = -23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxxxjjjjhhxj. Give prob of sequence jhj.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:38 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*b**5 + 0 + 2\/5*b + 0*b**2 - 4\/5*b**3 + 0*b**4.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -196, -294, -392, -490?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 689 (base 10) to base 8\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181044891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -40. Let u(t) = -2*t**2 + 3*t + 3. Let j be u(3). Let b = y + j. What is the second biggest value in -4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6365 - 63703\/10. What is the common denominator of m and -139\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(1\/4)\/c)\/c)*c*c*c**(-11)\/c)**(-6\/17) assuming c is positive.\nAnswer: c**(87\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2562885 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255624349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1477*d - 6. Let h(c) = -2952*c + 15. Determine 2*h(y) + 5*n(y).\nAnswer: 1481*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:07 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 28 + -6 + 60?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 3*h + 10439*c - 10443*c, 5*c = -h - 156 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1, h: 4, f: 11, g: 1}. What is prob of picking 1 h, 1 u, and 1 f?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 54*y + 44*y - 97*y)*(0 - 2 + 1).\nAnswer: -y + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -198. Let b = -13 + 27. Let m = b + w. What is the nearest to 1\/8 in -2, m, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(209)\/(sqrt(11) + sqrt(891)*1 + sqrt(891)) + (sqrt(475) + 1 + sqrt(19) - (sqrt(152) - (sqrt(152)*1 + sqrt(152)) - sqrt(152))\/sqrt(8))**2.\nAnswer: 305*sqrt(19)\/19 + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -5*f + 4*a - 10*a - 5, 5*f + 3*a - 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3*s**4\/32 + 9*s**2\/16 + 3*s\/4 + 8. Factor h(j).\nAnswer: -3*(j - 2)*(j + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 + s + 1. Let h be a(4). Suppose -h*g = -g. Suppose g = -3*c + 5*z + 48, 5*c + 0*z = 2*z + 61. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -56. Let k = d + -11. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 1311?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*c - 4*c**2 + 274*c - 137*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + -11?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 6. Let g(z) = -3*z + 5. Let c(y) = -y**2 - y + 6. Let x be c(0). Calculate x*g(m) - 5*b(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4474, -8951, -13428?\nAnswer: -17905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8\/19*h + 14\/19 - 6\/19*h**2 = 0.\nAnswer: -7\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 10*i**2 + 4*i - 15. Let a(m) = -m**3 + 7*m**2 - 5*m + 3. What is the remainder when r(10) is divided by a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 9. Let z(c) = 2*c**2 - 5*c + 1. Calculate the remainder when z(5) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(3*2*sqrt(11)) - ((sqrt(243)*-1 - sqrt(243)) + 5).\nAnswer: -5 + 109*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*l + 5*l, -z - 12 = -4*l. Let p be (0\/(z - -2))\/2. Let x = -4.9 + 5. Which is the nearest to x? (a) -4 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 - 3*h + 6. Let w be s(-6). Let f be 18\/63 - w\/14. Let z be (-2)\/6*(2 - f). Solve b + 2*j = 3, -5*b + 9 = -4*b - z*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -2*g. Suppose t + g*t = t. Solve -5*l + 18 - 3 = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2205)\/(-630)*-295*(-36)\/315?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahlaavyalsaahslha. Give prob of picking 1 v and 2 l.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2480 and 313100?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + (128 - (-2 - (-5 - 8))) + -13\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 3 (c) 188 (d) 5 (e) -54.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.395, -0.5 in ascending order.\nAnswer: -0.5, 0.395, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1673214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x + 2*x)*(-x**2 - 3*x**4 + x**2 + (2*x - x - 2*x)*(x**3 - 3*x**3 - x**3) + 4*x**4 + x**3 - x**3).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - -15. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79503126029.292 + 0.1\nAnswer: 79503126029.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2. Let k(v) be the second derivative of v**3\/6 + v**2 - 95*v. Let s(i) = -9*i**2 + 36*i + 72. Let t(d) = -36*k(d) + s(d). What is g(t(x))?\nAnswer: -243*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) -5 (b) 4 (c) 3\/2 (d) -1 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1241 divide 908757341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*i + 4*c - 3, 5 = -2*i + c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m*m**(-2\/3))\/m)*m*m**(1\/5))**(1\/51)*(m*m**(2\/5)\/m)**33\/((m**(-2)*m)\/(((m\/(m*m**(-5))*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(13951\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3317969*d**2*n**2 + 14*d*n - 102010*n**2 wrt d.\nAnswer: 6635938*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -4439954 in increasing order.\nAnswer: -4439954, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 3*x - 25. Let a be 4\/(34\/10 - 3). Let s be p(a). Suppose -9*o - s = -12*o. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 100*x**2 - 1125*x - 69. Calculate n(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/4 + (-366)\/(-8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 3*q - q**3 + 1 - 11*q + 6*q. Let z be (-4)\/22 - (-869)\/121. Suppose 24*i = 79 - z. Calculate o(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 112. What is the first derivative of 5*p**3 + 10 + h*p**3 + 21 - p - 22 wrt p?\nAnswer: 48*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453882*p**3 - 11*p + 453728*p**3 - 3*p**2 + 0*p**2 + 3*p**2.\nAnswer: -154*p**3 - 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p = -64*p + 4*t - 31, 0 = 2*p + 2*t - 44 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1568 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = c - 2*f + 5*f, 12 = -5*c + 4*f. Suppose 0 = u - 2*h - 0*h + 3, -u + 3*h - 5 = c. Is u smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (24\/(-76))\/(15\/(-292 + 7))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2477863 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let o = -1 + m. Let w be (0 + 0 + (-5 - -5))\/2. Solve w*z + z - 4 = o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/2 - 6*v**2 - 6*v. Let c be s(5). Suppose 3*b = -5*o + 155, -o - 88 = -c*o + 4*b. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -13197.\nAnswer: -8\/4399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 1. Let o(n) = 3*n - 3. Let y(a) = -5*b(a) + 2*o(a). Let q be y(-1). Is (-188)\/6*q\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260382305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/15 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86716*p**2 + 32*p + 15965139.\nAnswer: 173432*p + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*j + j. Suppose j*x = 3*x - 8. Which is the nearest to x? (a) -0.4 (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**2\/7 - 66*l.\nAnswer: -6*l*(l + 77)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -632*m + 1918. Calculate n(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1765732 - -5?\nAnswer: 1765737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1635, -3339, -5043, -6747, -8451?\n\"Answer: -1704*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48728663, 97457329, 146185995?\n\"Answer: 48728666*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*f - 781 + 781 to q*f + s and give q.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:43 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3435150.\nAnswer: 2, 3, 5, 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -358, -4984, 4, -2, 1, 5 in increasing order.\nAnswer: -4984, -358, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -88*x**3 + 17*x**2 - 2*x - 13. Is z(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2950*i**3 + 13*i + 0*i - 2*i**2 + 2953*i**3 as k*i + h + o*i**3 + c*i**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -144820 divided by 15?\nAnswer: -28964\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013807 is divided by 319.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 2 y when four letters picked without replacement from zyhohyzizlhizil.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53 - 15333\/171 - ((-4)\/(-12) + 1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*k = -12, -2*k + 15 = 5*d + k. Suppose 3*b - 9 = d. Suppose -3*i + 152 = 2*h, -i + 312 = b*h + i. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 5*w = 32 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 182, 12, 45, 0.\nAnswer: 0, 2, 12, 45, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 63 - 243. Let g(i) = i**3 - 19*i**2 - 16*i - 11. Calculate the remainder when g(c) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*s - 3*l + 13, s + 1 = -l. Is -2*((-6)\/s)\/((-8)\/1790) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z + 3. Let h be p(-4). Let o = 16 + -16.2. What is the biggest value in h, o, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 0.1695592?\nAnswer: 0.6695592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -2*a + 26, a - 22 = 5*l. What is the lowest common multiple of 63 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52754411 (base 8) to base 5.\nAnswer: 10340342332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + -0.47. Which is the closest to -0.1? (a) 3 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18209 is divided by 325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21022, -21023, -21024, -21025, -21026, -21027?\n\"Answer: -r - 21021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -21665229*s. Let f(y) = -y. Give v(f(g)).\nAnswer: 21665229*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3 + 4\/9*q**3 - 2\/5*q**5 + 1\/6*q**4 + 0*q**2 + 0*q. Factor m(n).\nAnswer: -2*n**2*(n - 1)*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2538, 2561, 2584, 2607, 2630, 2653?\nAnswer: 2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801.081 minutes to days.\nAnswer: 0.55630625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 114*f**3 + 4*f**2 - 2*f + 61. What is the units digit of n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 - 2*b**3\/3 - b**2. Let h be o(3). Suppose -6 = 2*s + 3*y, -4*s - 3*y + 20 = -h*y. Solve s*t - t = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -443 + 442. Put -4, 3, c, -3 in ascending order.\nAnswer: -4, -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + f + f + 16 = 0, 4*u = -4*f - 76 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-567)*6*3)\/(-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5271653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 65*z**2 + 1212*z + 26. Calculate x(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12644317 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-9)\/36). What is the third derivative of -y**f - 2*y**2 + 68*y**6 - 53*y + 58*y**6 + 60*y + 23*y**6 wrt y?\nAnswer: 17880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 444 = -3*h, 3*y - 687818 = 5*h - 687583 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by 2\nAnswer: -111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/8, 0.014, -2\/15, -1, -0.3, 19?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9693 and -0.4.\nAnswer: -3877.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -498.4629 - -532.474. Let v = w + -0.0111. Is 1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.115549 litres?\nAnswer: 1115.549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y**3 + 2*y + 2. Let o(x) = -140*x**3 + 21*x + 21. What is -21*k(s) + 2*o(s)?\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**6\/30 - t**5\/10 - t**4\/12 + t**3\/3 + 10*t. Factor q(o).\nAnswer: o*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/14545 and 37\/810.\nAnswer: 2356290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b17 - -23?\nAnswer: b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.54 + -9.6. Let t = u + 0.06. Let h = 0 - 0. Which is the second biggest value? (a) 1\/3 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987\/18605 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 7 (b) 1 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 4) to base 11.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/14 and -17\/1440?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5231.336 grams?\nAnswer: 5231336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.540273 and -240087999.\nAnswer: -240087999.540273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3 = 8, 3*k - 7 = -q. Suppose -k*n + 4 = -n. Solve -3*v = 2*v + j - 20, -n*v + 16 = -5*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -972 + -1. Let o = u + 1417. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403525 divided by -5.\nAnswer: 80705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 32 (b) 0 (c) -3189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -4*(sqrt(13) - sqrt(637)) - (sqrt(143) + 4*sqrt(143))\/sqrt(11) - (-2 + sqrt(468) - 6*(sqrt(832) - sqrt(13) - sqrt(13))**2))*4.\nAnswer: 56*sqrt(13) + 11240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 54, -1, 4, -3, 1 in descending order.\nAnswer: 105, 54, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5 - 5 - 117*o + 118*o. Let b(g) = -30*g. Determine t(b(r)).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*o = 39 - 12, -o = 3*y - 15. Suppose -4*i - 4 = -0*q + 2*q, -i = q - 1. Suppose q*p - 2 = 2*x, 4*x - p - 5 = y*p. Solve -x*n = 9 + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 5\/6*d**3 - 3\/2*d**4 + 71*d - 4*d**2 + 0 - 3\/20*d**5. Find the second derivative of j(x) wrt x.\nAnswer: -18*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6642)\/(-10332))\/(6\/(-8)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 46876914 divided by 19581\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3335 = 752*s - 867*s for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282*l + 1277*l + 1353*l - 3881*l.\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by -9\nAnswer: -122\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 7 + -18 - 24\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(17) + 1)**2 - sqrt(17)) + 3.\nAnswer: -87 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -380 - -460. Calculate the common denominator of (20\/s)\/(27\/40) and -145\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 10*x + 384. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 925 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2674\/31 or -2?\nAnswer: 2674\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 + 5. Suppose -2*a + 10 + 2 = z*v, 5*a = -2*v + 6. Suppose 2*m = -y + 28, y = -2*m + v*m - 14. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35*-0.22\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgj when four letters picked without replacement from {j: 3, f: 2, g: 15}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Which is the closest to -1? (a) o (b) 0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1543, -2\/3, 8, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -454 - -669. Let u = -214.99712 + j. Round u to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -4 - (-15 - (-12 - 3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(16\/(-6) - (-15)\/90). Let m(d) = -3*d + 34. Let v be m(12). Put 2, l, -88, v in descending order.\nAnswer: 2, v, l, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m**2 - m. Let t = 1 - 21. Let f be -2*(3 + t\/8). Calculate a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 67902*n + 409. Is j(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 112 + 152)*(2*m + 17*m + 10*m).\nAnswer: 5742*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/60 - q**5\/15 + q**4\/24 + 5*q**3\/6 + 14*q**2. Let y(o) = -o**2 + 1. Give h(f) - 5*y(f).\nAnswer: 2*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -40. Suppose -2*r + 1192 + 372 = 2*i, 2*i - t*r = 1594. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4009209330.\nAnswer: 2, 3, 5, 7, 19091473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7899 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -14, 1\/5, 3, 3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6753 = 579*t - 27018 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:23 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + (5 - (13 + -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 136002?\nAnswer: -136022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (279\/(-279))\/(987\/1215 - (-76)\/(-95))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - -2.95. Let k = -16.5 - -16. Let o = k + 0.3. Which is the second smallest value? (a) o (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let g = -300 + -240.2. Let k = g + 540. Put -5, k, x in increasing order.\nAnswer: -5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, 5, -1, -2\/5, 409.5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 + 2. Let x be o(2). Suppose -3 = -s + x. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 2 = 5*s. Are s and -4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 equal to 3749\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 11*l - 20. Suppose 3*o - 2*z = -14, o + 3*z + 33 = -2*z. Let a be w(o). Solve a*f = 2 + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3234264800 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.57124s to microseconds.\nAnswer: 92571240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 70830?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00465 - -29.02735. Let z = 29 - l. What is z rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4235 is divided by 447.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Suppose m*v - 22 = -d, -v = 3*v - 20. Let p = 3 - -2. Put d, 3, p in descending order.\nAnswer: p, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -10*w + 199. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzl when three letters picked without replacement from lujujuulzujluzl?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 25*s**2 + 93*s + 2838. Give f(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10982333.\nAnswer: 89, 123397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10998671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3007429520 to the nearest integer?\nAnswer: 54840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57)\/(-152))\/((-4)\/32). Which is the biggest value? (a) -2 (b) 2\/21 (c) -2\/11 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207429119 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -10*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5098 + -2065. Suppose -3*p = 10*t - 12*t - g, 5*t = p - 1024. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -546 (b) -0.5 (c) -1\/9 (d) -2 (e) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3 - 104908*q**2 - 481299 wrt q.\nAnswer: 3*q**2 - 209816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p. Let l(k) = 140*k + 13 + 7 - 16 - 4. What is l(s(z))?\nAnswer: 980*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 11*w - 45. Let h be d(6). Sort -0.3, -2\/3, h.\nAnswer: h, -2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5888, -693 in ascending order.\nAnswer: -693, 7, 5888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60939? (a) 0 (b) -0.2 (c) 1\/4 (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m + 10. Let d = 5.04 - 0.04. Let g be 32\/(-66) + 16\/(-88). What is the second smallest value in d, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 3, e: 3, j: 5, u: 7}. What is prob of picking 2 e?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4 - 1. Let j be -5*(-36)\/(-30) + 3*2. Suppose j = m + z - 75, 4*m - w*m + 5*z = -45. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090279 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/12)\/((-1)\/510)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**14*y**(-4\/29))\/(y*y**(8\/5)*y\/y**(-10\/11)) assuming y is positive.\nAnswer: y**(14918\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614663293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 + 26*t + 1 + 2*t**2 + t**3 - 22*t. Determine h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {k: 2, f: 6, b: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21772864 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*f + 12*f + 65*f**2 - 15*f**2 wrt f.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7309453660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46596 and 1287744.\nAnswer: 14165184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -472, -450, -414, -364, -300, -222, -130?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/90 - -137\/180. Let f = -253 + 1768\/7. What is the nearest to 1 in f, z, 5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**3 + 6*f**3 - 5*f**3)*(5 - 5 + 2*f)*(6*f - 505 + 505).\nAnswer: -60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3708 divided by -1236.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7) - (2 + sqrt(7))*-1) + sqrt(7))**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-84)\/294).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 745888*j\/9 - 69543613568\/9.\nAnswer: -2*(j - 186472)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 586\/15185?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -21. Suppose 2*o - z - 4*z - 10 = 0, -z = 2. Suppose d*v = -10 - o. Sort v, -4, 2.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*y - 5 + 64880*y**3 - 64880*y**3 + 2*y**2 + 2*y**4 - 4*y**4 to the form t*y + s + a*y**3 + g*y**2 + u*y**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.46 - 1.04. Let b = j - -32. What is the biggest value in 4, b, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*s**5 - 136*s**4*w**2 - 105*s*w**2 - 5*s*w + s - 2*w**2 wrt s.\nAnswer: 4820*s**3 - 1632*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 36 - 18*z**2 + 61*z**3 - 16 - 11*z**3.\nAnswer: 50*z**3 - 18*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 4*p. Suppose b - 34 = -b. Suppose b + 8 = 5*m. Suppose -l = -2*l - m. Give u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssfssssusuusuososus?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*31.\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 2)*((36 - 2*d - 35 - 84)*(-3 + 4 - 2) + 2*d - 1 + 1).\nAnswer: 20*d + 415","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 13*f**2 - 4*f - 7. Let n(o) = 4*o**2 - o - 2. Let q be 1 + (-20)\/50 + 1817\/5. Let s = q + -371. What is s*n(z) + 2*c(z)?\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/25*-2*-20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.07, -9\/4, 3, 5\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -5. Suppose -b*t = -2*t - 3*d - 93, -4*t + 120 = -5*d. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -9. Let h(f) = 65*f + 505. Let i be h(-7). Let p = i + -30. Calculate the least common multiple of p and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 + 13929*o**2 + 28*o + 165.\nAnswer: 12*o**2 + 27858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 0*w + 0*w + (2 - w**2 - 2)*(-4 + 4 + 2) - w**2 + 2*w**2 - 3*w**2 + 3349 + 132*w**2 - 6696 + 3352 in the form v*w**2 + f*w + i and give v.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 52.239 and -31.166353.\nAnswer: 21.072647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1645.5 - -1645. Which is the fourth biggest value? (a) 2 (b) 3 (c) s (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 122551.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*m + 161*m = -162*m + 32 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51325 (base 11) to base 2.\nAnswer: 10010010010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) -93 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:25 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (99\/(-45) - -3)\/(2\/5). Solve 2*p = 4*g - 1 + 11, -h*g + 20 = 4*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 u when four letters picked without replacement from uwwwuwwwuwwwwww.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 2455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuvvvvvuuvvvvvuuv. What is prob of sequence uvuv?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 58*q = 3280. Suppose 94*m = q*m + 28. Solve -18 = m*h + 5*i, -3*h = -i - 4 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiirqrirqir. What is prob of picking 4 r?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328978896 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/((-28)\/21))\/((-6)\/(-16)). Solve 27 = r*l + 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 346\/470175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 94*m**2 - 42*m**2 - 43*m**2 - 29*m**2. Let w(p) = -p**2. Determine w(v(j)).\nAnswer: -400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1157 + -894. Calculate the remainder when b is divided by 93.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 27 = -3*t - 0, -3*y = -5*t - 3. Suppose k + 120 = y*k. Suppose k - 2 = 2*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 24, 62, 120, 204, 320?\n\"Answer: m**3 + m**2 + 14*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/400 and -121\/400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, t: 14}. Give prob of picking 3 t and 1 b.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -18)*(-4 - 172\/(-40))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 15*h - 22. Determine c(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2172 + 2171. Suppose r = 4*c + 1094, 2*c + 2*r + 556 = -2*r. Let b = -5756\/21 - c. What is the closest to t in 4, b, -16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 2897 - 2769 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 94 = 6*z - 0*z, 3*z = 19*r - 47 + 70 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(77\/(-49)) - (-24 + -1 + -2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 356\/7*f - 1\/7*f**2 - 31684\/7 = 0.\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1577.58 times -11.3\nAnswer: 17826.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -329887.\nAnswer: 45\/329887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -665954*x**2 - 351695*x + 2 wrt x.\nAnswer: -1331908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0943 + 130.0943. Let o = -446 + 576.5. Let f = n - o. Which is the second biggest value? (a) 1 (b) f (c) 3 (d) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 37, 0.051, -0.2?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.2. Let z be (1\/2 + 0)*-2. Let r = -28.2 - -23.2. Which is the second smallest value? (a) w (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72319.\nAnswer: 13, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7351503, 7351497, 7351491, 7351485, 7351479, 7351473?\n\"Answer: -6*k + 7351509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28644 + 64001. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6355*p - 6317. Determine m(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14 + ((1 + -9 - -5) + 1 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4, -3 in decreasing order.\nAnswer: 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55513, -55515, -55519, -55525, -55533, -55543, -55555?\n\"Answer: -o**2 + o - 55513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 3 - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 86.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 4, 601, -847 in descending order.\nAnswer: 601, 4, 2, -8, -847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {c: 7, l: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -2 (b) 0.5 (c) 0.1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w - 7. Give f(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 320 + -310. Solve -2*l = -12*l - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -55*z - 19. Let p(k) = -10*k**2. What is p(x(b))?\nAnswer: -30250*b**2 - 20900*b - 3610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 14) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:22 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14*(9 - (0 - -10)). Let y = 0 - 0.2. Which is the smallest value? (a) 0.2 (b) y (c) k (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1297 and 3.46?\nAnswer: 4487.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443228*u = -443218*u + 290 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efzfezze. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11871 - 14783 = 733*q + 14394 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 12:32 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 10*j**4 + 17*j**4 + 2*j - 10*j**4 + 1 - j**2 as a*j**3 + l + g*j + n*j**2 + z*j**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/40 - t**4\/12 - t**3\/3 + 9*t**2. Let k(p) be the first derivative of g(p). Determine k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6126 divide 1681564572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 10. Let b be x(6). Solve 2*r + 0 = b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*c + 47 + 9 + 85 - 20 - 600*c.\nAnswer: 4*c + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1515 + -5?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(7)*3 + sqrt(7) + sqrt(28)\/sqrt(4)*-6 - 6*sqrt(567)*2) + 5).\nAnswer: -110*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9791330*x - 48180469 wrt x?\nAnswer: -9791330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.16, 5, 9, -5, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 - 4*d**2 + d + 4. Let i(b) = 3*b**3 + 2*b**2 - b - 2. Let l(c) = -3*i(c) - 2*s(c). Give l(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 + 17110*t**2\/3 - 48814822*t + 390153648.\nAnswer: -(t - 17106)**2*(t - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2738, -5460, -8184, -10910, -13638, -16368, -19100?\nAnswer: -21834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221977 divided by -3?\nAnswer: 740659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204 - 121 + 13 - 35 - 134)*(-16 + 18*b**2 + 16).\nAnswer: -8658*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16059\/4 - 176435\/44. Let j be (-2)\/(-6)*(-94)\/(-10). Let h = j + 158\/165. Find the common denominator of h and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 12*t**2 - 11*t + 16. Determine c(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -86 and -104443 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02961 - 0.00961. Which is the nearest to 0? (a) 46 (b) -2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**(-1)\/p))\/p)\/p*p)**33)**46 assuming p is positive.\nAnswer: p**3036","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574700 a multiple of 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 17*m**2 - 19*m - 43. Let q be ((-40)\/25)\/(3\/30). Let h be k(q). Solve -h*r - r - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -4081237?\nAnswer: 4081237.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340277 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1272 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let a be 1080\/21 - 4\/(-7). Let d = a - 48. What is the closest to 0.1 in -6, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*j + 4*c - c, 18 = -3*j - c. Sort 4, j, 5.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g + 16. Let l(p) = 15*p**2 - 3*p + 2. Let h be l(g). Suppose 2*u = -0*u + h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 39*s + 156. Let l(g) = 2*g - 2. Let c(b) = -3*l(b) - t(b). Does 4 divide c(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (70\/21)\/((-5)\/(-15)) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:58 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 384, 382, 380, 378?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*i = -92, 0 = b - 3*i - 0*i + 8. Let j = 6453\/5 + -1297. Find the common denominator of (-214)\/b - (-4 + 3) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -190346.\nAnswer: -95173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(640) - sqrt(640))\/(sqrt(8) - (sqrt(8) - (sqrt(40)\/sqrt(5) + sqrt(8))*-3)).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 95411 divided by -3\nAnswer: -95411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 3, q: 3, u: 5, t: 1, i: 1}. What is prob of sequence uux?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 (base 6) in base 2?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(65\/39) + 22\/(-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/4 - 199*w + 2. Let p(q) = 125*q**2. Calculate p(b(x)).\nAnswer: 1125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 10 = 2*t. Suppose -t = -3*i + 3*b - 95, i + 24 = 5*b. Let w = i - -29. What is the smallest common multiple of w and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4216 and 13\/2728?\nAnswer: 46376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(567) + -1*sqrt(567) + sqrt(21)\/sqrt(3) + -3)*-4)**2.\nAnswer: -192*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h*t**4 + 5113*h*t**3 - 7*h*t**2 + 17*h*t + 77*t**2 - 13 wrt t.\nAnswer: -216*h*t + 30678*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*o + 5. Let v be (2 - 1)*(4 + -1). Factor -v*k**3 - 3*k + o*k + 3*k - 2*k**2 + k**3 + 2*k**4.\nAnswer: 2*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8107232)\/144 - (2 + (-20)\/9). Round f to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42494*z - 170604 - 51584*z + 170604.\nAnswer: -94078*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**3 + 148853*m**2*n + m*n - 8*n - 32747 wrt m.\nAnswer: -9*m**2 + 297706*m*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/9 + 6398*g\/9 - 3560 = 0. What is g?\nAnswer: -3204, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w + 69. Let a be t(7). What is the highest common divisor of 138 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/4 - 33\/22. Suppose k*z - 29 - 46 = 0. Let m be -1*(-27)\/z + (-2)\/(-10). Solve -10 = -2*f + 5*d, m*f - f = -d - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 28. Let g = -379 - -390. What is u(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231465277877 + 4?\nAnswer: -231465277873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -322.8 and 1.\nAnswer: -321.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3.5, -18, -0.07, -1\/21, 23\/6, 0.5?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3926, -3935, -3946, -3959?\nAnswer: -3974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -209. Suppose -j + 211 = -4*p + 2*p, 3*p = j - v. What is the greatest common factor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2 (b) -3\/16 (c) 243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Suppose -2*s = 3*t - 2, -4 + 1 = -3*s - 2*t. Let l be y\/3*(0 - s). Is l less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g**2 - 7*g - 11. Let w be r(-4). Suppose 46*f + 36 = w*f. Suppose 0*l + f = -3*l. Put -5, l, 0 in decreasing order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 10940.\nAnswer: 131280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2 + 8. Suppose 5*n + 2*j - 45 = q*n, j - 68 = -5*n. Suppose -5*b + 66 = -49. Calculate the remainder when b is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*b - 270*b**2 + 1207*b**2 + 5*b - 494*b wrt b?\nAnswer: 1874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8926503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 8*v**2 - 24*v - 69. Calculate b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17882859 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 9*p - 9*p)*(3 + 4 - 4)*(0 - 3 + 2) + (4*p + p - p)*(11 + 3*p - 11).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 - 0.68. What is the second biggest value in 5, 0.3, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1155771666 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000179168 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.4 + 44. Let u = 3.4 + f. Suppose -o + 13 = -4*q, -2*q = o - 0*q + 5. Which is greater: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a day in minutes?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291 - 287 - 7*r - 10*r)*(-6*r + 2*r - 2*r).\nAnswer: 102*r**2 - 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 106515868 rounded to the nearest 1000000?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 36*y**2 + 27*y - 66 = 0. What is y?\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from ydyydyyldydly?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f. Suppose 2 + 0 = 2*w. Is 3 a factor of u(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = 3*i + 13, -2*i - 32 = 5*v. Let f be (v\/(-3))\/((-2)\/4). Let w be (0 - f)*(9 + -2). Solve 0*n = -2*p + 4*n + 24, -5*n = -2*p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, v: 4, a: 4, k: 1, h: 3}. What is prob of sequence vk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**3 - 4*j**2 - 7*j + 2. Let m be r(2). Let b(k) = 790*k**2 + 2*k + 1. Let d be b(-2). Suppose -13*u + m*u = d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7\/(-180))*((-477)\/(-138) + 258\/5934)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v**3 + 0 - 6*v**2 + 0*v + 11\/30*v**5 - 2\/3*v**4. Let k(w) = 7*w**2 - 5*w. Give 5*a(g) - 16*k(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 72, 117, 178, 261?\n\"Answer: i**3 - i**2 + 31*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = f - 2*f - 5 - 5, -5*n - 10*f = 18*f + 121 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.728907 decades to years.\nAnswer: 7.28907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472\/16 - (7\/(-2) - -3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4224*w + 1632*w + 1204 + 1770 + 14594 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(141*x - 50*x + 46*x)*(-6*x - 12*x + 6*x).\nAnswer: -3288*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367 - 3025947?\nAnswer: -3021580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 f when four letters picked without replacement from dddfdddddfdfffdddf.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 5830.3466?\nAnswer: 5829.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26512281?\nAnswer: 3, 41, 71849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 15*l - 14. Let p be r(14). Let y be 0 + 3*(-2)\/(-24). Which is the biggest value? (a) -4 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652.214m in centimeters?\nAnswer: 165221.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*q + 7. Suppose 5*w + p = 8205, 0 = -q*w + p - 5*p + 4940. Round w to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11023313020 (base 4) to base 9.\nAnswer: -2501547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5740650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2359782 - 2*i - 2359786 + 7079319 + 3*i + i - 2359751.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrwwr. What is prob of sequence rk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 0, 12, 38, 84, 156?\n\"Answer: s**3 - 2*s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10837 is divided by 5412?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m - 15. Let k = -1 + -1. Put m, k, -4 in ascending order.\nAnswer: -4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22612 (base 14) in base 11?\nAnswer: 57820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -24.06. What is b rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168\/43 + 1676\/473. Let y = 5\/778 - 8371\/1167. Find the common denominator of r and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.805279ml in litres?\nAnswer: 0.004805279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-74)\/222)\/(3\/(-228753))?\nAnswer: 7, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/4 - 28*a - 784 = 0. Calculate a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 1. Let h(q) = -1371*q**2 - 18*q - 3. What is 5*h(t) + 15*n(t)?\nAnswer: -6855*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7350424.\nAnswer: 2, 47, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140141004 (base 7) to base 16.\nAnswer: 8aa323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3799, -3798, -3797, -3796, -3795?\nAnswer: -3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8198 and 395.\nAnswer: 323.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573205964?\nAnswer: 2, 143301491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -32988984663690*m**2 - 14530296*m - 8\/5 = 0. What is m?\nAnswer: -2\/9081435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2 = x. Suppose -i - y = -5*y - x, 0 = 3*y - 3. Suppose -1 = -2*v - 3, -5*k + v = -i. What is the smallest value in k, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1178 - -1203. Let y be 198 + (-4)\/((-2)\/1). Calculate the highest common divisor of y and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:00 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528 - 89. Suppose 4*d - 1433 = -5*y, 4*d - m = -3*y + 424. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2685*l**2 - 675*l + 3.\nAnswer: -5370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190770?\nAnswer: 2, 5, 31, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1435\/6498 - -1\/722. Let f(z) = -z + 8. Let a be f(7). Let t be -1*(128\/42 + -3). What is the nearest to -0.1 in t, g, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5843952 minutes to seconds.\nAnswer: 35.063712","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 27*j + 174. What is l(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274146 is divided by 335.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44005 (base 6) in base 16?\nAnswer: -17a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 6*y - 17. Let b be i(2). Sort -4, 8, b, 3 in decreasing order.\nAnswer: 8, 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -572 - 384. List the prime factors of x.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2150 by -21.\nAnswer: 2150\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2188316*l + 95 = -2188319*l - 5*u, -11*l + u = -77 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 7*g**4 + 73*g**3 + 65*g**2.\nAnswer: -g**2*(g - 13)*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -39*d**3 - d**2 - 16*d - 4. Let s be g(-3). Let k = 1841 - s. What are the prime factors of k?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100695894 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**2 + 8*j**2 - 2*j**2 + 22*j**3 in the form i + n*j**3 + g*j**2 + c*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7978168 and 44?\nAnswer: 7978168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n + 14. Let z(h) = -4*h + 7. Let f(w) = 6*i(w) - 11*z(w). Suppose -14*m - 360 = 31*m. Give f(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 + -2 + -2 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) 0 (d) 1\/4 (e) 0.02 (f) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10088 and 22243.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 728675450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 22. Suppose -2*f - 422 = -112. Let p be ((-1)\/2)\/(f\/30 + y). Put -2, p, 6 in descending order.\nAnswer: 6, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 3*y)*(0*y**2 + 2*y + 26 - 4*y**2 + 6*y**2).\nAnswer: -2*y**3 - 2*y**2 - 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 283*a - 4497. Let q be o(18). Does q = -143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -122. Suppose -o = 288*g - 291*g. Solve -g*k + 2*n = 0, -5*n = 4*k + 15 - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122295 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 2*(1 + sqrt(171) + ((-1 + sqrt(171))**2 - sqrt(171)) + (-2 + -2*sqrt(171))**2 + (-2 + sqrt(171)*-2 + sqrt(171) + -4)**2)*4.\nAnswer: 432*sqrt(19) + 8544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*a + 12, 4*m - 26526 + 26574 = -4*a for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 426991 take away -0.53?\nAnswer: 426991.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((88*j - 88*j + 31*j**3)*(0 + 0 + 2) + 2 + 4*j**3 - 2)*(j - 3*j + 0*j) as q*j + s*j**3 + k*j**2 + a*j**4 + f and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 16*b**2 - 15*b + 9. What is the units digit of u(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 142, 138, 134, 130, 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l. Let w(p) = -5*p + 10 - 14 + 4. Determine x(w(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7314 is divided by 7222?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**19\/i)**(42\/11)*(i**(2\/45))**(1\/4) assuming i is positive.\nAnswer: i**(68051\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/60 + m**4\/24 - m**3\/6 - m**2 + 12*m. Let r(k) = -3*k**2 + 2*k - 1. Give 2*j(c) - r(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10)*w)\/w**5*w**(-22\/7)\/(w*w\/((w*w\/w**3*w)\/w)))**47 assuming w is positive.\nAnswer: w**(-6627\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 25. Solve 5*z + 3*r = -3, 4*z + y = -2*r - 0*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(((r*r**(2\/3))\/r)\/r))\/r)\/(r**3*r))\/(r**(-1\/2))**(1\/8))**(-6\/11) assuming r is positive.\nAnswer: r**(173\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 589917 divided by 4573?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*y = -18, 4*a - 3*y + 11 = -15. Let h = 2 + a. Let d be (-14)\/6 + h\/(-9). Which is bigger: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -67105 divided by -6?\nAnswer: 67105\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36b4bb (base 16) to base 4\nAnswer: -31223102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 12 - 10 + 388 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -35*n**2 - 9*n + 9. Suppose 0 = 3*s + 11 + 16. Let p(x) = -9*x**2 - 2*x + 2. Let w(d) = s*p(d) + 2*m(d). Let g(c) = -2*c**2. Give w(g(v)).\nAnswer: 44*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.2 - -8. Let u = 10 + -14. Which is the closest to 1? (a) -2 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/83400 and 79\/3750.\nAnswer: 2085000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 381701 divided by -6\nAnswer: -381701\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - k - 20 = 0, -17*r - 4*k = -20*r + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 403829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 401760 and 66960.\nAnswer: 401760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/275 + (-2331)\/(-75) - -3. What is the greatest common factor of p and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rccccrrcrcccrccc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from upekhkhzkkzkh.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 17}. What is prob of picking 1 i and 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1980475*x - 2278 + 2278.\nAnswer: -1980475*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3 - 54*p**2 - 18*p + 322. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/31 or 10.08875?\nAnswer: 10.08875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 2. Let z be c(6). Let d(b) be the first derivative of 1\/2*b**2 + 6*b + 3. Determine d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 7. Calculate the remainder when 50 is divided by h*2\/12*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 8.3\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1308274 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 73. Suppose -10*r + 43 - b = 0. Let y be (0 - r\/6)*-10. Sort 2, -2, y in ascending order.\nAnswer: -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, 20317, 177 in ascending order.\nAnswer: -1, 1\/5, 177, 20317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 75. Calculate the smallest common multiple of q and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -531 + 528.988. Let f = 1.9 + m. Let q = 16.312 + f. What is q rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11320, 8192, 5076, 1978, -1096, -4140?\n\"Answer: k**3 - 3135*k + 14454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001291647391 to seven decimal places.\nAnswer: 0.0012916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**2*l**3 - 2*b**2*l**2 - 4386*b*l**3 - 17265*b*l**2 + 2*l**3 - 2*l + 1 wrt l.\nAnswer: 36*b**2 - 26316*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-6859)\/114 + 5\/(120\/28)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) + 1)**2 + 3 + sqrt(1584) + -1 - (-2*sqrt(1584)*-5 + -2)) + 2)*-3.\nAnswer: -4773 + 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1183, -2364, -3545, -4726, -5907, -7088?\n\"Answer: -1181*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-240)*3 + (2366\/224 - 11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420918 is divided by 140152.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 106, -2, -4, 299 in descending order.\nAnswer: 299, 106, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Let w = -0.46 - 0.04. Let c = 234.6 - 233. Sort c, h, w in increasing order.\nAnswer: w, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 13*y - 25. Let z be i(10). Solve 9*x - z*x + 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:50 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 1 + 9 - (-3 + 4 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408131623 rounded to the nearest 100000?\nAnswer: 408100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 118, 448, 996, 1762, 2746?\n\"Answer: 109*u**2 + 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.1738 and 0.2.\nAnswer: -23.9738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993, 5146, 12063, 21738, 34165, 49338, 67251?\nAnswer: 87898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 27 = 3. Solve m*y + 3*p - 18 = 0, -3*p + 0*p = -2*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.635 + 42.635. Sort 2\/11, 1\/6, 0.1, p, 0.074.\nAnswer: 0.074, 0.1, 1\/6, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (10 + -15 + -8)) + 0 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (0 - (0 + 0)) + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i - 4. Let u(f) = -2*f**2 - f - 12. Let q(m) = -5*l(m) + 2*u(m). Let h be q(1). Solve h*z + 8*z = -24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 10*r**2 + 17*r + 27. Give u(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7176 and 18979623?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 3, 24 in descending order.\nAnswer: 98, 24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 23. Let l = q - 8. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 9 = -4*d. Suppose 5*b + 4*q = -12, -3 = -3*b + d*b + q. Solve b = -2*y - 2 - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024900559 to seven dps.\nAnswer: -0.0024901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7016856 divided by -23?\nAnswer: -7016856\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9151546 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4360*j + 0 + 2179*j - 2 + 2177*j - 2*j**2. Suppose 13 = -4*y - 3. Let b(h) = -3*h**2 - 7*h - 3. Determine y*b(k) + 7*u(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 3*i = 45, 5*m = i - 79. Let d(b) = -b**3 - 15*b**2 + 14*b + 21. What is the tens digit of d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-11\/6)*b\/(b\/(b\/b**(2\/5)))*b**(2\/3)*((b**2*b)\/b)\/(b\/b**1)*b*b**4*b**(1\/4) assuming b is positive.\nAnswer: b**(401\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 - 2*c + 3. Suppose 21*b - 291 + 333 = 0. Let k(q) = q**3 + q - 1. Determine b*m(p) - 4*k(p).\nAnswer: -6*p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 868 and 6820?\nAnswer: 47740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10103 - 10100. Factor -8\/5*w**2 - 2\/5*w + 4\/5 + 6\/5*w**f.\nAnswer: 2*(w - 1)**2*(3*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -3531. What are the prime factors of o?\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75210589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 26*z**2 - 26*z + 55. Suppose 9*f + 11 = 29. Suppose 3*u = -3*a + 2*a - 21, -5*u = -f*a - 64. What is the remainder when m(a) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/5, 1, -8, -0.1, 1017 in descending order.\nAnswer: 1017, 1, 2\/9, -0.1, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1830, -1786, -1742, -1698, -1654, -1610?\n\"Answer: 44*a - 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*n = 22, -5*n - 19 = 2*q + 2. Let y = -2913 + 2913. Let z = -3 - -28. Solve q*f - 7*f - z = y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:10 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322903*u**2 - 59 - 322904*u**2 + 645806*u**2 + 59.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 = -54*w + 60*w. Let l = 1157 + w. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 28*u**2 + 19*u - 1. List the prime factors of x(-21).\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6287 + -10?\nAnswer: 6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*v - 634 = 373*v + 30*t, -2*t - 416 = 5*v + t for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 1)*(1 + 2*n**5 - 1) + (-2 + 1 - 1)*(-3*n + 3*n + n**5).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2 = 2*u + p, p - 11 = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59629 * 1437.\nAnswer: -85686873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 8*k + 17689\/10*k**5 - 244\/3*k**3 - 222 + 48*k**2 - 798*k**4. Determine z so that h(z) = 0.\nAnswer: -2\/19, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 41 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 674 - 673.8. Which is the third smallest value? (a) -0.3 (b) 16 (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1339*b**6\/30 - 7*b**3\/3 + 29*b**2 - 1582*b. What is the second derivative of k(q) wrt q?\nAnswer: 16068*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6470000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 557 + -561. What is the biggest value in 4, 55, m?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l + 58*l - 51*l - 39805 = 0. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/210 - 3*w**5\/70 + 5*w**4\/7 + 275*w**3\/21 - 10*w**2 - 14*w - 17. Find o, given that n(o) = 0.\nAnswer: -5, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 680*d**2 + 3244*d + 9240.\nAnswer: 4*(d - 165)*(d - 7)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-3)*3\/2. Let p(c) = -9*c**2 + 3*c**2 + i*c**2. Let j(o) be the second derivative of -o**4\/2 + o**3\/3 - o - 278. Calculate p(j(f)).\nAnswer: 72*f**4 - 48*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 826 - 825. Let r = -29 + 24.4. Let s = 5 + r. Which is the third biggest value? (a) -4 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-1)\/62). Let y = 86 + -86. Suppose y = 3*g + 4 - p. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*d + 81, 3075 = 3*d - o + 3019 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = p + 4, p + x = 5*x + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 256ec (base 16) in base 15?\nAnswer: 30669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**8\/560 + o**7\/75 + 13*o**6\/600 - 3*o**5\/50 - o**4\/6 + 4*o**3\/15 + 313*o**2. Find q such that f(q) = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -19. Let y = -0.803 - -1.103. What is the nearest to a in -5, y, -0.17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -4*p, -2*o = -3*p + 2*o - 5. Does -1\/17 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -225*b + 245*b - 59860. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 0 - (51 + -69 - (-30 + 0) - 17)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-424)\/(-858) - (-16)\/312.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321.5 + 322. Which is the second smallest value? (a) -11\/13 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4 + 28*r**5 + 3366*r - 7*r**5 - 3365*r - 40*r**2 wrt r?\nAnswer: 1260*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 10*h - 59*h**2 - 5 + 36*h**2 + 40*h**2 - 16*h**2. What is y(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-212)\/100 + 2)\/(30\/1575) and 89\/7632?\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 5:23 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153045838 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:02 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35615 - 14199. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*o - 16. Suppose -2*t + 74 = -t - 3*g, 0 = t + o*g - 60. Let j be -3*t\/(-6) - 1. Solve 5*z = -25, -s = 3*s - 5*z - j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 20757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = 3. Suppose 2*n + t = -0*n + l, 3*t = -n + 8. Suppose -26 = -4*d + 3*u + 45, -4*u = -4*d + 72. What is the remainder when d is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-35) + 962299\/287560.\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 31. Suppose -2*o + q*y = 85801840, o + 2*o + 2*y = -128702728. Let t = 24900912 + o. What is t rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -5*j + 84 - 61, -5*j + 4*i = -26 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i + 8. Let x(j) = j**2 + j - 9. Determine 5*m(d) + 4*x(d).\nAnswer: -d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.7, 0.2, 4, 69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 254, 347, 442?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 548*-100\nAnswer: -54800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -325, -2, -17, -0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 114, 75, 10, -81?\n\"Answer: -13*y**2 + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 13*k**3 - k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**3 - 47*y**2 - 21*y + 15. Let s(p) = p**3 - 4*p - 9*p**2 - 6 - 8 + 17. Let b(x) = 11*s(x) - 2*v(x). What is b(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 41355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 17 = -115. Suppose -68 = -4*j - 0*j. What is the remainder when i is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 0, -1 in ascending order.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 8) to base 5.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -1, -5*j = -2*k + 40. Solve 8 = 13*d - k*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.8 (b) -47 (c) 20359\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/5*z + 3 - 14\/5*z**2 - 1\/5*z**4 + 16\/5*z**3 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452763, 905443, 1358123, 1810803, 2263483, 2716163?\nAnswer: 3168843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368314, -368306, -368286, -368248, -368186?\nAnswer: -368094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/7 - 38*x**2\/7 - 12*x\/7 + 144\/7 = 0. What is x?\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + -2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8432 - -8436. Let b(u) = -u + 3. What is b(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 110 = -4*t. Let n = -8 - -3. Let c(r) = -r**3 - 4*r**2 + 3*r + 1. Let m be c(n). Calculate the greatest common divisor of m and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 18*p + 20. Give f(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -47 - -19 - (0 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 150\/40*4\/(-6). What is the third biggest value in -2\/5, -3, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 3*w - 2. Let t be r(-2). Let y(b) = -b**2 + b + 58. Calculate the remainder when y(t) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7)*-2*(-7)\/(-56). Let p = -0.2203 + -3.7797. What is the nearest to 0.1 in 2\/9, p, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1140, 1142, 1144, 1146, 1148?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 417 = 423. Solve -u*j - 20 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32562000 divided by 4070250?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**3 - 12*k**3 - 5*k**3)*(-5 + 7 - 3)*(7*k - 9*k + 9*k) to the form m*k**2 + g*k + l + v*k**3 + q*k**4 and give q.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 32.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 - 607899266*s + 92385379400834689 = 0?\nAnswer: 303949633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i**2*i*i)\/i))\/i)\/i*i*((i*i**(1\/14))\/i)\/i)\/(i**5*i**3) assuming i is positive.\nAnswer: i**(-181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, o: 5, q: 6}. Give prob of sequence oq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14380 divided by -5?\nAnswer: -2876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*d**4*z**2 - 41376*d**4*z + 123*z**2 + 2570*z wrt d.\nAnswer: -204*d**3*z**2 - 165504*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:56 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -18, -30, -46, -66?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1921\/15 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917379563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c. Let k = c + -1. Sort 4, k, -2.\nAnswer: -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138.2 + -137. What is the third biggest value in i, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61085, -61079, -61071, -61061?\nAnswer: -61049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 13*b**2 + 204*b - 22. Let c be g(-9). What is the nearest to -1\/3 in 14, -11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 91369.9ml?\nAnswer: 91.3699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4439 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -2, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3810, 2, 3\/7, 0.4, -0.5, -2, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 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(g) = g. Let t be z(0). Suppose t = x - 3*x - 8. Let f(p) be the first derivative of p**3\/3 + 2*p**2 - 3*p + 1. What is f(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 23 + 19 = 0. Let x be y\/(-14)*8\/(-18). What is the nearest to 1 in x, -5, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*a - r - 1, -22 = -2*a + 4*r. Solve a = -s - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1172016 and 450.\nAnswer: 29300400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -33448186 equal to -33448185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-28)\/24 - 11\/(-6). Let x be w\/6 + 24\/9. Suppose 2 = -x*h + 38. What is the remainder when 57 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*f + 23 = 4*x, 0 = -3*x - 4*f + 11. Let k(g) = 9*g**2 - 5*g + 5. Let y be k(x). Suppose -y - 313 = -2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 14456535?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 14.085. Round k to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-44)\/(-77)*1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -740*f**2 + f - 52. Let h be m(-9). Let o = -686 - h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(84) + (-2*(sqrt(84) - 2*sqrt(84)) - sqrt(84)) + sqrt(84))\/(sqrt(48)*-2) + -2)**2.\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/36 - 77*w**3\/18 + 187*w + 140. Let y(d) be the first derivative of n(d). Determine j so that y(j) = 0.\nAnswer: -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 3.02. Let r = -5.3 - -5. Let v be (-1)\/(-2 + 12\/(-8)*-2). Which is the third smallest value? (a) n (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:43 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -13, 27, 115, 269, 507?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7790 divided by 361?\nAnswer: -410\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 129.04, 2, 7.1, 0.3?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 5*y**2 + 4*y**2)*(3*y**2 - y**2 - y**2) + 3*y**4 - 3*y**2 + 3*y**2.\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57.9219 times 79\nAnswer: 4575.8301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29214\/11361*42\/(-32)\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11709815, 23419578, 35129341, 46839104, 58548867, 70258630?\n\"Answer: 11709763*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -12, 79, -1.\nAnswer: -12, -2, -1, 1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80803*j**5 + 3691251*j**2 wrt j?\nAnswer: -4848180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.959 + 0.041. Let g = q - 32. Sort -5, 1\/6, g.\nAnswer: -5, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/28 and -5\/5864016?\nAnswer: 41048112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.1636cm in nanometers?\nAnswer: 6161636000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 3:20 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + -14 + (-4)\/(-2). Suppose 3*r = -h*r + 33. What is the third smallest value in -1\/9, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -523 - -527. Let p(i) = 7*i**3 - 7*i**2 - i - 6. What is the units digit of p(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15*w**3 + 96*w**2 - 36*w. Let c(h) = 8*h**3 - 47*h**2 + 20*h. What is -11*c(v) - 6*k(v)?\nAnswer: 2*v**3 - 59*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 133, 317, 669, 1243?\n\"Answer: 9*z**3 + 3*z**2 - 2*z + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 - 234.7. Let b = r - -105. Let d = b + 132.9933. What is d rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -11316.\nAnswer: -1\/3772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -57, -87, -117, -147, -177?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56175 and 74900.\nAnswer: 224700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/72*43*(-6)\/(-129).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4231220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2 + 2 + 0. Let f be 3\/2*a + 1. Suppose -o - 5*i = 3*o - 27, o + f*i - 4 = 0. What is the smallest common multiple of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:00 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-1)\/(-291). Suppose -3*v + 3*h - 27 = 0, 2*v + h = -17 + 23. Is c >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25. Solve u*o - 6*o = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 268.9087ml?\nAnswer: 0.2689087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l - 1, -14 = -3*r - 4*l. Solve 33*f - 30*f = r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2556 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3317847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375718651 and 239093687?\nAnswer: 2630030557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*z**3 - 1026*z**3 + 229*z**3 - 659 + 659.\nAnswer: -1460*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*z + 4. Suppose 2*s = z - 12. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/7 - 293*d**4\/7 + 11157*d**3\/7 - 105655*d**2\/7 + 94792*d\/7 = 0. What is d?\nAnswer: -328, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*d - 4*d**2 - 53*d**4 - 24539*d**3 + 24539*d**3 wrt d.\nAnswer: -636*d**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:06 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -405 by 5.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 10:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 973180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.781 less than 793622.933?\nAnswer: 793622.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + (2 + 3 - 14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443429\/2 greater than or equal to 2221714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.08 - -0.08. Suppose 4*m - 5*m = 0. Suppose m = -5*o + o. Which is the third smallest value? (a) 0.1 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 12. Let s be (p*1)\/(-3) + -4. What is the smallest common multiple of 2\/(-12)*s*18 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010000001010110111?\nAnswer: -1010000001010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2)*(-1150)\/(-1725).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y + 84. Let t be k(24). Let p be t*2\/24*8. Calculate the highest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zicc when four letters picked without replacement from {i: 1, v: 2, z: 4, c: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1644 - -211. List the prime factors of y.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9509*d**2 - 2229*d - 1?\nAnswer: 19018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-169*q**2 + 289*q**2 + 516*q**2)*(-6*q - q + 6*q).\nAnswer: -636*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 370 - ((-3)\/3 - 2 - -5). Let h = -308 + r. Suppose -60 = -4*g + 100. What is the highest common factor of h and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*y + 257*y + 326*y to the form q*y + o and give q.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 285\/105 + 2\/7. Solve -3*r**z + 0 + 3\/5*r**2 + 0*r - 9\/5*r**5 + 21\/5*r**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 6*t**2 - t. Let m be k(-5). Let p = 14 + m. Let l(s) = s**2 + 4*s - 1. Is 4 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**4 - 3*i**4 - 2*i**4 + (4 - 4 - i)*(7*i**3 - 18*i**3 + 22*i**3).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1219942725 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10939*a**3 - 2291*a**2 + 7*a wrt a?\nAnswer: 65634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984044.\nAnswer: 2, 246011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891687?\nAnswer: 3, 23, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 28*t + 20. Let x be s(5). Calculate the highest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.5 (c) -121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -285*r**2. Let f(b) = 352*b**2. What is l(f(u))?\nAnswer: -35312640*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 2. Let z(p) be the third derivative of -p**5\/10 + 11*p**3\/6 + 33*p**2. Let f(u) = 22*q(u) - 4*z(u). Let s(o) = -8*o**2 + 6*o. Give s(f(w)).\nAnswer: -32*w**4 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8404806.73 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19.1 and 747.\nAnswer: 766.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 61 = -79. Let i be ((-1784)\/32)\/(l\/12). Which is the closest to i? (a) 4 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + (-18 - ((-259 - -269) + 0 + -20 + 1))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3.6. Let w = p - 8.6. Which is the fourth smallest value? (a) -1 (b) 0.4 (c) -2\/3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270580, 1082294, 2435148, 4329142, 6764276, 9740550?\nAnswer: 13257964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7296519458\/56736075 - -196\/206313. Let h = l - -643\/5. Is h equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6120\/850*(-195)\/52?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) -0.36 (c) 0.2 (d) 0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 5*a + 4*h + 145, 3*a = 2*h - 89. Suppose 2*t + 117 = -u, -8*t - 285 = -3*t + 4*u. Let p = a - t. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -36. Let s be 54\/n*(6 + 1). Let t(x) = -x**3 + 3*x**2 + x - 2. Let u be t(2). Solve 0*z - 2*z + s = -4*w, -17 = -u*w - 5*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 + b - 1. Let g be y(4). Let s be (((-36)\/(-3))\/g)\/1. Suppose x = -s*x - 215000. What is x rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002110 + 1?\nAnswer: -1002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 1. Let k(p) = 4*p**2 + 2. Let r(f) = k(f) + 2*l(f). Let q(c) = -11*c. Determine r(q(g)).\nAnswer: 242*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(4)\/sqrt(2) + sqrt(2) + 0).\nAnswer: 6*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - 19\/(-3). Let x be (-2)\/z - (-78)\/(-21). Let h(i) = -i**3 - 5*i**2 - 6*i - 5. Let f be h(x). Is 3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**4\/12 + 3*i**2 - 53. Let z(h) be the first derivative of -2*h**2 - 2. Determine b(z(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 + z - 2. Let l be v(2). Let s be (-90)\/l*(-28)\/(-21). Let f be (-8 + 9)\/((-2)\/s). Solve 5*j = -4*a + 17, 3*a = -2*a + f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 + 0 + 0*i**4 - 7\/10*i**6 + 0*i**5 - 25\/6*i**3 - 35*i. Find the second derivative of s(u) wrt u.\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 300 = -5*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 2\/11, -1\/94, 37\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 2. Let v be a(-6). Let g be (4\/6)\/(4*(-5)\/(-570)). Let c(s) = -v*s + g*s - 16*s. Let o(r) = -3*r**2. What is c(o(m))?\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 236*c - 66*c - 2 - 39.\nAnswer: 170*c - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 744 or 749?\nAnswer: 749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*115\/450 + (-96)\/120.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/4700710 and -51\/1880284.\nAnswer: 9401420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 2 (b) -422 (c) -4 (d) 458 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3 = 760*u - 761*u, 13*w + 3*u = -2*w - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -489, -983, -1493, -2025, -2585?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**34*s*s*s**(2\/9)*s**(2\/9) assuming s is positive.\nAnswer: s**(634\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7663291 is divided by 1970.\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5))**(1\/73)\/(w**(-4\/3)*w\/(w*w**(2\/21)\/w)))**(-20\/9))**(-11) assuming w is positive.\nAnswer: w**(40480\/4599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-10) + (-85320)\/(-1800). Solve -3*l = -43*x + z*x - 3, 3*l - 3*x - 33 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 12, u: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 171, 133, 75, -9?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -d. Let i = d + 3. What is the smallest common multiple of 14 and (4\/6)\/(i\/(-12))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**3*v - 95*i**3 + i**2 - 104*i*v - 12*i with respect to v.\nAnswer: 4*i**3 - 104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872063 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17 - 14 + w**2 - 33*w**2 - 27*w**2 wrt w?\nAnswer: -118*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 7:35 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4550, -2, -45, -5, 9 in increasing order.\nAnswer: -4550, -45, -5, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3799 + -3649. Calculate the greatest common divisor of 810 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -8. Let w = g - -34. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:19 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5950327 (base 10) in base 6?\nAnswer: 331311451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 - 164. What are the prime factors of b?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - ((-2*sqrt(343)*-1)**2 + sqrt(343))) + (-2*(-3 + sqrt(343)))**2.\nAnswer: -168*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let x(y) be the third derivative of -y**5\/15 - 19*y**3\/3 + 13*y**2 + 1. Calculate k(x(w)).\nAnswer: 4*w**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52820 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 84864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + d)*(-4 + 4 - 1) + 0*d - d - d + 4*d - 2*d - 4*d + 3*d + 0*d - 4*d + 3*d - 2*d - 3*d + 9*d - d + 12*d)*(4*d**2 - 5*d**2 - d**2).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10389 - -11358. Calculate the greatest common factor of d and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.358 rounded to one decimal place?\nAnswer: 81.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 125, 202, 287, 380, 481?\n\"Answer: 4*o**2 + 57*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9.07. Let i = -17.2 - -18.27. Let r = i + n. What is the biggest value in -0.4, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 730 + -367. Let r = 362.7 - w. Sort r, 11, 1\/2 in decreasing order.\nAnswer: 11, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*h**2 + 4*h**2 - 95*h**2)*((-9 + 2 + 1)*(2*h + h - 2*h) + 1 + 3 + 7*h - 6*h) in the form g*h**3 + r*h**2 + o*h + j and give g.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179438420 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6)*6 - (sqrt(2) - sqrt(6)\/(sqrt(12)\/sqrt(4))))**2 - (5 + sqrt(800) + -1).\nAnswer: -20*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1413 - 2?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u - 1. Let q(v) = -4*v**3 - 5*v - 5. Suppose -8*p + 35 = -p. Determine p*d(r) - q(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1349 + 4889 = -3*h, -5*h + 2124 = 3*a. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.437 - 3.563. Let o be 19\/(-15) + 16\/24. What is the smallest value in b, o, 1.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-514)\/6)\/((-3)\/(-9)). Calculate the highest common factor of 70 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13130 is divided by 196?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5365 and -28\/835.\nAnswer: 895955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385969539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16606, -33209, -49810, -66409, -83006, -99601?\nAnswer: -116194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 4 - (-26 + -28 + -10 + 198)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + o + 254693 = 254673, -g + o = -18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 5*j, 433 = j + 2*v + 422. Let z(k) = 3 - 2*k + k - 4. Let r be z(-4). Solve -5*l = -2*g + r*g + 5, -j*g - 3*l = 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-6)*p\/(p\/(p*p\/(p**(-5)*p))))**35 assuming p is positive.\nAnswer: p**455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 times -1.62\nAnswer: -0.10206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*17.\nAnswer: 2.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.39328173 rounded to three decimal places?\nAnswer: 24.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380 - 21\/6*18\/21.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let z(d) = -12*d. Calculate l(z(s)).\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 2*c + 12. Let j(p) = -8*p**2 - 2*p - 13. Let i(v) = 5*j(v) + 6*u(v). Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64247, -128530, -192813, -257096, -321379, -385662?\nAnswer: -449945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-28) - 93420\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahqfehqeeeq. Give prob of sequence fe.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 40423329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(75) - sqrt(75)) - (-5 + sqrt(75)*-3) - (sqrt(75) + (sqrt(75) + 0)**2*-2 + -3*1*sqrt(75) + sqrt(75) + sqrt(75) + 2).\nAnswer: 15*sqrt(3) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*k + 41 + 69, -5*w - 4*k + 110 = 0. Calculate the remainder when 151 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.8744 - 11.87440057037. What is o rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*g = -4*r - 5, -2 = -r - 2*g. Let i(x) = -x**3 + 2*x + 2. Let b be i(r). Is 23 a factor of 23*b*36\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**2 - 3*m**3 + 4*m**2)*(-11*m + 64*m - 15*m) to j*m + u*m**3 + l*m**2 + z*m**4 + f and give z.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -90*n**2 + 21*n + 21. Let z(k) = 9*k**2 - 2*k - 2. Let g(y) = -6*v(y) - 63*z(y). Let r(x) = x**2. Calculate r(g(l)).\nAnswer: 729*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1797*x - 147. Let b(u) = -1797*u + 176. What is -5*b(w) - 6*y(w)?\nAnswer: -1797*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075725633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 - 14. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 6 = -4*i, -2*i = -27*v + 32*v - 9. What is the nearest to 3 in v, 2\/25, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 53*c - 764. What is p(-23)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 - 1956*i + 84672 = 0 for i.\nAnswer: 48, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2208.811 + -2205. Let m = z - 3.62. Is m > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/99)\/((-2)\/3)*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 12744.\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12985?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (6 + 5)) + 15 + 29 + -2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:33 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-11 - (-5 - -18))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.12733995 rounded to 2 decimal places?\nAnswer: 49.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 8. Let d(z) = -12*z + 21. Let b(o) = -o + 1. Let l(n) = -9*b(n) + d(n). Let i(h) = 7*f(h) - 5*l(h). Calculate i(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*z + 8, p - 5*z = -3 - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10714\/10 - 4\/10. Suppose -2*m + n = 3*c, -4*m + 2102 = 18*c - 20*c. Does 48 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p + 2*r - 108, 0 = -4*r - 16. What is the units digit of (-4)\/(-2)*p\/(-58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u + 5. Let k be w(-2). Let q be (-4)\/4 + (-8 - k). Solve 4*d + q = -3*s, s + 5*d + 5 + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + t - 7 + 57 = 0, 0 = 4*z - 2*t - 52 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzsvyxry. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 = 11. Suppose -84 = -i*h + 4*b, 6*h - 3*h + 4*b - 86 = 0. Suppose -5*g - a = -h - 3, 5*g - 2*a = 31. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2835036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.122 (b) 0.3 (c) 7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + -0.07. Let f = g - -0.1432. Round f to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 1*sqrt(18)\/sqrt(6))**2 + sqrt(108) + 0 + sqrt(108).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35141 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15*((-70)\/15 + 5). Let i be 2\/(-5) + 135\/25. Solve -i*w + 4*w**2 - 13 + 2*w - z*w + 1 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13717.27 * -0.11.\nAnswer: -1508.8997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 1:28 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-47 - (-20 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 54*q**2 - 2*q - 2. List the prime factors of j(3).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 23*v**2 - 3*v - 9. Let c(u) = -u**2 + u + 1. Let p(y) = a(y) + 3*c(y). Let i(l) = 3*l**2. Determine i(p(n)).\nAnswer: 1200*n**4 - 720*n**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q - 49287 = -77*q + s, 0 = -5*q + 5*s + 49275. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -38 - -8) + -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/7 + 56606416*u + 2803750540819424 = 0.\nAnswer: -99061228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (-13 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76)\/sqrt(4)*4 - (-3*sqrt(2299)*2)**2.\nAnswer: -82760 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-202)\/(-18) - (-4)\/(-18). Let w = h + 4. Suppose g + 3*n - w = 32, 0 = 2*g + 5*n - 95. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232930?\nAnswer: 2, 5, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3401978, 3401990, 3402014, 3402056, 3402122, 3402218?\n\"Answer: z**3 + 5*z + 3401972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-20))\/((-54)\/72).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 - 1263*h**2 + 402*h**2 - 531*h**2 - 4*h**2.\nAnswer: -1369*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1577 - -1609 - 135\/(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 349, 281?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6488089132 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1148 divided by -4\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 2*y - 4. Let s(w) = 26*w**2 + 20*w + 24. Let n(m) = 5*m**2 + 4*m + 5. Let p(g) = -11*n(g) + 2*s(g). What is 4*p(v) - 7*z(v)?\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8240 and 20.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 - 4952*n**2 + 182644*n - 1034488 = 0.\nAnswer: -1274, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 10*d - 10. Determine y(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46.2 - -39859.\nAnswer: 39905.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 2*a. Let w = -68 + 70. What is b(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(30\/15). Let z = 111202\/5 - 22240. Which is the nearest to -2\/3? (a) -3\/4 (b) z (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0 - 2*a**2 - 1\/6*a**3 - 3*a. 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 -0.4 + -0.28876?\nAnswer: -0.68876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 52*b**2 - 3*b + 150. Determine v(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (-17 + 4 + 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-10 - -8) - (-11 - -2) - -9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.985 - 0.685. Let n = -0.35 - -0.05. Which is the smallest value? (a) m (b) 15 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 16, 0 = v + 3*l - 6581. Suppose -3*u = 4*t - 3923, -10*u = -5*u - t - v. Let o = u - 726. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -34*g**3 + 348*g**2 - 185*g - 164. What is u(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 622\/167?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (357\/(-9) - -3)\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 1207*t**4 - 24*t**3 - 2408*t**4 + 2*t**5 - 40*t**2 + 1219*t**4 = 0.\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + -4 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or 7\/26510?\nAnswer: 7\/26510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3432502 + 133?\nAnswer: 3433035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -5*b**2\/2 + b - 5. Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-3 - 0 - 19) - (-2 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 1, -7, -0.33 in ascending order.\nAnswer: -55, -7, -0.33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -0.02, 0, 21, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318 and 42184078?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - 19*t + 77. Calculate h(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 259383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 1. Let l(w) = -w**2. Suppose p + 2 - 4 = 0. Suppose -p*n + 3*n + 7 = 5*q, 2*q = 5*n - 11. What is n*l(j) + c(j)?\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 588 - 2?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3154*i = 1030*i + 1848*i - 90723 + 525027 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(7) + -1 - sqrt(7)) + (sqrt(7) - (sqrt(847) + 0)**2) + 2 + (1*(-1*sqrt(28) - sqrt(28)) - -4*(2 + sqrt(63)))**2.\nAnswer: -331 + 129*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/7))\/(w\/(w*w**(1\/9)*w))*w**(-1\/18)*w**(-24)\/w)**35 assuming w is positive.\nAnswer: w**(-13645\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-114)*(-20)\/28.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(o*o*o**(-1)))\/o))**(-22)*(o*o**(-1))**(-23))**(-2\/91) assuming o is positive.\nAnswer: o**(44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15129)\/(-3))\/(10 + -9)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-112)\/40)\/(8\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 784877*i**3 + 516*i**2 + 2*i + 27?\nAnswer: 4709262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*x - 57*x - 140 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z - 2*z)*(10 + 2 - 3)*(110*z + 209*z - 148*z).\nAnswer: -1539*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, h: 2, u: 6}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 147 = 15. Let z = 2 + u. Does 7 divide z\/(-8)*6 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**3 - 2*y**2 + 1. Suppose 0*u + 3*u - 37 = 4*c, -u - 4*c - 9 = 0. Suppose -o + 2*w - 24 = u*w, -3*w - 12 = 3*o. Does 12 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 17*q + 12. Let x be ((-5)\/(50\/85))\/(4\/8). Give f(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2*3\/(-2). Suppose t + 2*t = 0. Is i\/(-4)*(12 - t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7566449 is divided by 1891604?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 5906, -27, 1\/16?\nAnswer: 5906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/36*22\/(132\/12)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 6. Find the first derivative of 2*f + f - a*f + 1 + 4*f**2 wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2544 and 2756?\nAnswer: 33072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/9))**(29\/2)\/(y**(2\/15)*y**0))**(-34) assuming y is positive.\nAnswer: y**(-26911\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-5))\/((-8)\/(-200)). Let o = -35 - m. Let z = o - 31. Solve -3*i - i + z = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 4 (c) 2977 (d) 0.2 (e) -1\/6 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 650 = 214. Suppose w = m + 8*m. Determine q, given that 16*q**3 + 4*q**4 + 0*q**4 + 0*q - m*q + 12*q**2 - 6 - 10 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f - 40*f - 46*f + 64*f + 67*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10809367600 rounded to the nearest one million?\nAnswer: -10809000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/52 and 2\/1911.\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-204)\/(-32)*(2 + (-248)\/132) and -1 + (3 - 0) + (-112671)\/54990.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -17*o**2 - 11*o + 15. Let x(s) = 9*s**2 + 6*s - 8. Let c(f) = -6*l(f) - 11*x(f). Let q(p) = 3*p**2 - p - 3. Calculate 3*c(h) - 2*q(h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 5, h: 1, w: 1, s: 1}. What is prob of sequence qwj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15361, -15366, -15371, -15376, -15381, -15386?\n\"Answer: -5*f - 15356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3867*c - 1277*c - 28 - 1295*c + 1306 - 1294*c.\nAnswer: c + 1278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/7 + 20837*v\/7.\nAnswer: v*(v + 20837)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 14*s - 20. What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7665, 7662, 7657, 7650?\nAnswer: 7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8658520 and 6968?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231 + -1302210440?\nAnswer: -1302211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2364 + -525. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*x - 41778 - 25953, -3*x - 169275 = -5*j. Suppose 4*r = 17194 + j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4.99. Let m = 0.00999925 + v. What is m rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/364 and -22\/2639.\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141905?\nAnswer: 3, 5, 269, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((8484\/8)\/(-7))\/558. Let s = -2\/93 - n. Which is the nearest to 0? (a) s (b) -3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 3*g - 6. Let i(y) = -7*y - 47. Let f be i(-7). Let p be k(f). Let q(u) = u**2 + u - 8. Give q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*b + 3*b = -4080, -4*v = -5*b - 3264. Let x = 20184 + v. Let q be (-1000)\/(-4 - (-83998)\/x). Round q to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 384\/80*60\/8?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*j - 3*j + 4*f, -4*j + 24 = -3*f. Let y be 2 - (0 + -5) - 2. Solve 2*b + j = -2*a - 2*b, y*b = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4976, 9888, 14658, 19214, 23484, 27396?\n\"Answer: -12*o**3 + o**2 + 4993*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502175 is divided by 751082.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 799766 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*d + 276, 2*u = 4*d + d + 550. Is -2 + u + (7 - 9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290039.\nAnswer: 3, 430013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29735, 59463, 89193, 118925?\n\"Answer: q**2 + 29725*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3501186 divided by -91.\nAnswer: -269322\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 - n - 4. Let m be d(-7). Differentiate m - 4 + 11 + 9 + q**3 wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1913*o**4\/12 + 5*o**3\/6 + 3*o**2\/2 + 34*o. Let p be h(-2). Let x be (-5)\/(-10) - p\/2. Round x to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 536*o + 4. Let k(w) = -1083*w - 7. Give -4*k(y) - 7*t(y).\nAnswer: 580*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185867 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-11)\/4 - 3\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.2 (b) -5 (c) -7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1030 (base 4) to base 12\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 513\/8 - 64. Let i = -79.3 + 61. Let v = i + 18.4. Which is the third smallest value? (a) o (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2788616 and -18134.\nAnswer: 2770482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (1 - 3) - -3. Let k = 10 - a. Suppose -2\/5*z**3 - 2\/5*z - 4\/5*z**k + 0 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)*34\/((-340)\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x - 3*x + 3*x + 2*x**2. Let t be 44\/(-8) + 1\/(-2). Let y(q) be the second derivative of q**4\/2 - q. Calculate t*y(k) + 17*b(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*z**4 + 5*z**2 - 2*z - 15653 with respect to z.\nAnswer: -352*z**3 + 10*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25 and 148?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 5*x + 216. Let m be x\/(-8) - (-4)\/16. Let i(h) = -32*h**3 + h + 1. Let s be i(-1). Calculate the highest common factor of s and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-271 - -278 - (-2 - -15)) + (2 - 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1, -4\/9, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 12191 and 12334 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -321147.36 rounded to the nearest 1000?\nAnswer: -321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198441233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 6, r: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141\/(-9) - -2)\/(635\/(-15) + (64 - 22))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = 5*s. Put s, -3, 4 in descending order.\nAnswer: s, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -188093053*a**2 + 109059583?\nAnswer: -376186106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, v: 4}. Give prob of sequence vvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80b (base 13) to base 8.\nAnswer: -2523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4249428*i**3 - 4069558.\nAnswer: 12748284*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3472 and 3038?\nAnswer: 24304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 93. Let j = -36 - o. Suppose 0*h - 5*d = -j*h, 0 = -5*h + 3*d. Solve -2*u + 1 + 7 = h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + z = 41, -56 = 27*r - 23*r - z. Let s(a) = -217*a - 8. Is s(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1939694824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -534309, -2137287, -4808931, -8549241, -13358217, -19235859, -26182167?\n\"Answer: -534333*g**2 + 21*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202 - 554 + 176)*(-a + 3*a - 3*a) + a + a - a.\nAnswer: 177*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 8*u**2 - 9*u - 5. What is the remainder when w(5) is divided by ((-3)\/(-2) + -1)*14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:28 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1850, -1849, -1848, -1847, -1846, -1845?\nAnswer: -1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*s - 3*z - 3410, 5*s + 3*z - 5678 = 0. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 2 + 22\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35891 is divided by 854?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.57. Let z = l - 0.13. Let h(k) = k**2 + 1. Let d be h(-2). Which is the third smallest value? (a) z (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -342*v**4 - 2*v + 3716 wrt v.\nAnswer: -1368*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 30*i**2 + 5*i + 40. What are the prime factors of k(-6)?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:16 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -1\/4, -0.4 in ascending order.\nAnswer: -0.4, -1\/4, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = 6*m. Suppose -6*u + 2*u + 44 = 0. Suppose 0*o + 2*o - u = -m*p, -2*o - 10 = -4*p. Solve p*r = 0, -z = -2*r + 4*r - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*v = 226 - 3, 0 = 4*u + 2*v - 434. Calculate the remainder when u is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 14*w + 10 = 0, -40 = 5*q + 5*w. Let i = 2 + 2. Suppose 7 = i*o - 5. Put o, 1, q in ascending order.\nAnswer: q, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 16*i - 19. Let u be b(-13). Let d = 300 + u. What are the prime factors of d?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2354*t - 38 + 77 - 19 - 20 to q*t + p and give q.\nAnswer: -2354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h**3 - h - 4*h**3 + 5*h**2 - 7 - 5*h**3. Give t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + w + 27 = 0, 8*w + 106 = 4*c + 3*w. What is the second derivative of -3*p + 12*p - 4*p - c*p**4 wrt p?\nAnswer: -348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**3*t**4 + 52*p**3*t - 2*p**3 - 18*p*t**5 wrt t.\nAnswer: -36*p**3*t**2 - 360*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136934087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2056 and 771.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26578*g**3*q*y - 2*g**3*q + g*q + 4*g*y + 4*g - 88*q*y + 236206*q wrt y?\nAnswer: -26578*g**3*q + 4*g - 88*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 4 + 4 + (-4*d + 5*d + 4*d)*(2 - 10 - 4) to the form i*d + h and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23261190.\nAnswer: 2, 3, 5, 29, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65041343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 438*r - 1225. Determine a(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) - 27*(-11972)\/10332.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 2. Suppose 0 = -4*c + 5*o - 84, c + 2*c + 63 = 2*o. Let h = c - -20. Let a be b(h). Solve 3*y + a*d = 9, 4*y + 12 = 8*y + 2*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s + 8*s - 9*s)*(-1 + 4 - 2)*(s**3 - s**3 - 2*s**3).\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 157, -2, -18.\nAnswer: -18, -5, -2, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62 + 1011*d**4 - 13 - 10*d**4 + 12*d wrt d.\nAnswer: 12012*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 - 5*y**3\/6 + y**2\/2 - 51*y. Determine c(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3001 - 3001.2. What is the nearest to -0.2 in -11\/3, n, 0.2, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**2 + 11*s + 9. Let i(l) = 5*l**2 + 6*l + 5. Give -3*f(n) + 5*i(n).\nAnswer: -8*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 26*m - 5. Let z(j) = -26*j + 6. Let h(n) = -6*s(n) - 5*z(n). Let i(l) = -4*l**2. Determine i(h(p)).\nAnswer: -2704*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or 64?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 14 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 154132*v + 616565. What is n(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-4)*(-14)\/(-49). Suppose 14*l - 17*l + 610 = -2*c, -l + 208 = -g*c. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440037661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let m(q) = -1 + q + 3*q**2 + 6 + q**2 + q**3 - 3*q**x. Is m(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2792.00466997514 + -152047429.99527302486. Let z = o + 152050304. Let n = z - 82. Round n to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 53*o - 74 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-3) - (-18)\/3. Suppose -a = f, -o - o = -a - 44. Suppose 0*c + 2*c = 78. What is the remainder when c is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/8)\/(12\/21)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6124.392g to nanograms.\nAnswer: 6124392000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1162145 (base 8) to base 9\nAnswer: 537716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 12*u**2 + 64*u + 48.\nAnswer: -4*(u - 6)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7 + 25. Suppose -4*l = 16 + s. Let h(a) be the first derivative of -a**4\/4 - 7*a**3\/3 - 5*a**2\/2 + 8*a - 1. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k + 1. Suppose 9*t = 4*t. Let j be s(t). Is 5 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*i = -44 + 3, 5*b - 29 = -i. Suppose 7 - b = -f, -2*f + 815 = c. List the prime factors of c.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010111 - -100?\nAnswer: 10111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - t + t + 0. Let h = -104 - -142. Let s(l) = -30*l**2 + h*l**2 - 14*l**2. Calculate s(d(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -630, 1, 2, -12487, 4 in ascending order.\nAnswer: -12487, -630, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.545 + -1.045. Let f = j - 0.61. Let q = f + 7.1879. Round q to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 14\/11 (b) 0.1 (c) 3\/2 (d) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206\/10*(-130)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32422 and 78?\nAnswer: 97266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r*r*r**(-7))\/(r**1)**(-27))\/((r**(-3\/7)*r)\/r**(-5))**(6\/5) assuming r is positive.\nAnswer: r**(746\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 - 78. Suppose 36*n = 34*n + a. Solve 5*f = 4*u + 17, -2*u = 2*f + 3*u + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*v + 3*n, -2*v - v + 19 = 5*n. Suppose -u + 9 = v. Let b(w) = 5*w - 5. Let d be b(4). Solve u*q = q - d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0577*-64.\nAnswer: 3.6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -23*p**3\/3 + 23*p - 9. What is the first derivative of k(c) wrt c?\nAnswer: -46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -149, 89, 4 in increasing order.\nAnswer: -149, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113133 - 2?\nAnswer: 113131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y**2 + 8*y + 13. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 50*b + 40. Suppose -v + 25 = -h, -15 = 2*h + 3*h. Let z be g(v). Suppose -2*a - z = -7*a. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/18)\/((s*s**22*s*s)\/s)*s\/s**(-2\/11)*s*s**4 assuming s is positive.\nAnswer: s**(-3539\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-80))\/(2\/5). Let f = -5140 - -5144. What is the closest to 1\/2 in s, f, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**3 - 12*l**2 - 23*l. Let q(s) = -14*s**3 - 22*s**2 - 44*s. Let w(g) = -11*d(g) + 6*q(g). Let x(a) = 9*a**3 + a**2 - 22*a. Give 5*w(h) - 2*x(h).\nAnswer: 2*h**3 - 2*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p - 279. Determine d(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/11)*z)**(-1\/45)*(z*((z\/(z*(z\/(((z**(-1\/6)*z*z*z)\/z)\/z))\/z))\/z)\/z)\/(z**(-4\/3)*z*z) assuming z is positive.\nAnswer: z**(-283\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x + 10. Determine z(11).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -765811400 rounded to the nearest one million?\nAnswer: -766000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 213256739 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -515 + 515. Let x(p) be the second derivative of h - 8*p - 5\/6*p**4 + 0*p**2 - 1\/2*p**3. Find the second derivative of x(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/114 - (-1 - (-50)\/(-36))) + -5?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {u: 2, j: 2, v: 5, b: 8}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 4. Let g be f(4). Suppose 6*i = 3*i + g. Let v(m) = -1 + 2*m + 3*m + 3*m**2 - m**3 - 2*m. Determine v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j + 195 = -3*f, 5*j = 0. Let s be f\/26*(-12)\/10. Suppose s*l = -v + 48, -4*v + 3*l + 240 = -l. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-39)\/g**14 assuming g is positive.\nAnswer: g**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**4\/2 + 4*x**3\/3 + 3*x**2\/2 + 2*x - 1. Let c be ((-10)\/6)\/((-65)\/(-78)). Give l(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let g(f) = 76*f - 448. Determine a(g(m)).\nAnswer: 5776*m**2 - 68096*m + 200704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 11*t = -13*t + 14, -2*n - 2 = 4*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*y - 1243 + 17 = 0, -3*d = -5*y - 3682. What is the remainder when d is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((((f\/(f*f**(21\/5)\/f))\/f)\/f)\/f*f)*f\/f**(-1\/7)*f*f)\/(f**(-1\/3))**4 assuming f is positive.\nAnswer: f**(1121\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 401059\/2 - 200529. Factor 11\/2*y + a*y**3 + 0 + 6*y**2.\nAnswer: y*(y + 1)*(y + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.785537 decades in millennia?\nAnswer: 0.00785537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 8\/5, 1, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) 734 (c) 2 (d) -189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 7*t = 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(1 + -2) + -2. Suppose -3 = -d + 16. Let a = d + -21. Sort 1, s, a in descending order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -5, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74 + -1)\/(-15)*(-7)\/(-5). Solve -99 + 134 = l*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.101 + -0.041. Let d = z + -0.06. Sort -1, d, -4 in descending order.\nAnswer: d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 1703.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*s = 23, 5*s - 12 = 2*s. Sort 3, -4, c.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2199, -2, -18.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 w, and 1 f when four letters picked without replacement from llfwwooooool?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9965098?\nAnswer: 2, 11, 13, 34843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -j. Let y(b) = 54*b**2 + 3*b + 7. Is y(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103403424213 - 1?\nAnswer: 103403424212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 15*m**2 + 26*m + 17. Let a be s(13). Suppose -44 = -3*u + 4. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 5*y + 176, 3*y - 176 = 4*h. Let q = 57 + h. What is the highest common divisor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10020 - -3210?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29328.73816 rounded to the nearest 100?\nAnswer: -29300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**5 - 3*t**5 + 4*t**5 + 8*t + t**5 wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 124052, 124072, 124092?\n\"Answer: 20*p + 124032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c = -368*c - 262*c + 26280. Let v(r) = -r**3 + 8*r**2 + 4*r - 3. Calculate the remainder when v(-6) is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:14 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32024475 a multiple of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -615 - -620. Sort 8, -5, h.\nAnswer: -5, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1249\/3 - 15\/45. Let p = 421 - x. Solve -5*q = 5*g + 4 - 29, -p = g - q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**3\/3 + 370*v**2 + 16428*v - 12528 = 0?\nAnswer: -36, 3\/4, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11094733 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -455 - -458.71. Let o = 4.01 - y. Which is the smallest value? (a) o (b) 4\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18 + -17 + -2*(-1)\/(-4). Which is the nearest to 0? (a) 0.1 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 53 - (14 + -16) - 8) + -11 - 3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4606698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t + 1, 4*t + 140 = -3*l. Let g = 32 + -97. Let c = l - g. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:41 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2 + 1\/3*u**3 + 0*u + 0*u**2. Let v(y) = 4*y. Calculate n(v(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {o: 1, v: 10, z: 2, w: 3, f: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 3*k**2 + 47*k + 472349. Is i(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (2 + -5 + 2). Suppose 2 = k - 1. Let s**j - 3*s**k + s + s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Solve 4*z = -16, -l*f + 0*f = 4*z + 41 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:39 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.18 + -0.18. Which is the second smallest value? (a) -0.5 (b) 9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -72. Solve 6*q - s*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047 is divided by 398?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1551, 1549, 1547, 1545, 1543, 1541?\n\"Answer: -2*o + 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 142*r**2 + 283*r + 426. Give d(-140).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -8*t**7\/21 + 5*t**3\/6 - t**2\/2 - 3*t. What is the second derivative of a(b) wrt b?\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 15. Determine p(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 0*v**2 + 0*v**2 + (4*v**2 - 2*v**2 + 0*v**2)*(-11 + 13 - 6) + (-2 + 2 + v**2)*(5 - 3 - 4) + 23*v - 9*v**2 - 23*v.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 7}. What is prob of picking 2 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -0.5, 0.71, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13600 - 13600.1. Let q = -10 - 17. Which is the second biggest value? (a) -2 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejjjjejjj. What is prob of sequence eeje?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 26971598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -75*o - 4000. Calculate a(-57).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 6. Suppose 25 = -5*x, -3*z + 2*x = 22 - 56. Let o be ((-13)\/4)\/((-2)\/z). Let m = o - 9. Determine d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 4*r + 5. Let i be t(-5). Suppose -4*v - 5*k + 23 = -0*k, -2*v + 2*k - 2 = i. Let m = 0 + v. What is the lowest common multiple of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 + -2 + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 21 = 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 - 1073*n**3 + n**2 - 15166*n wrt n.\nAnswer: -24*n**2 - 6438*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/7 + 19958*d**2\/7 - 99119820*d\/7 - 4601840184\/7 = 0. Calculate d.\nAnswer: -46, 10002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 + 34*i - 29. Let p(t) = -7*t**2 - 38*t + 27. Let n(d) = 3*p(d) + 4*u(d). Determine n(18).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 14*p - 19. Suppose 0 = 4*x - 6*x + 8. Let d(k) = -2*k. Let j(y) = y - 1. Let n(q) = x*d(q) + 3*j(q). Determine n(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212798?\nAnswer: 2, 103, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 8978 + 52*x**2 - 8976.\nAnswer: 45*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 62*y - 34*y - 40 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -7, -2, 19, 62?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 22 = 0. Calculate the remainder when 67\/(-67) - -42*1 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 85, -1 in decreasing order.\nAnswer: 85, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43205\/14 + -3084. Calculate the common denominator of -31\/12 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7153*h**3 + 539*h**3 - 3220*h**3 + 5291*h**3.\nAnswer: 9763*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 45*h = -16. What is the least common multiple of h and 601?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmccccc. What is prob of picking 1 m and 1 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 53, 44, 33, 20, 5, -12?\n\"Answer: -q**2 - 4*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-340) + 876\/(-1785) - (-4)\/(-14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 7*g**2 - 18*g - 21. What is the hundreds digit of d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*q + 3*q - 30, -4*c = 5*q - 28. Let g = -667\/5 + 134. What is the closest to -1\/4 in g, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32864436 and 2442627?\nAnswer: 361508796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35648154 to the nearest integer?\nAnswer: 5971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 552*l**2. Let k(d) = 139*d**2. Give k(n(u)).\nAnswer: 42353856*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/765 and -55\/136?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 66 + 38 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*q = 0, 3*b - 2*b = q. Suppose -10*t + 4*t = b. Solve t = -2*m + 1 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77178.54705 rounded to the nearest integer?\nAnswer: -77179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(256) + (-2*sqrt(256)*1 - sqrt(256)))\/(sqrt(96)\/(sqrt(1200)*-6))*-3)**2.\nAnswer: 25920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 361389664 to the nearest one hundred thousand.\nAnswer: 361400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 1:08 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 + 620 + 0. Suppose -4*w + 3*c - 4 = 0, -13*w - c = -14*w - 2. Suppose -2*t = -5*u + p, -4*u + 504 = w*t + 2*t. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -0.1, 6, 2\/5, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0\/x**6*(x**(2\/5))**(-21\/5) assuming x is positive.\nAnswer: x**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -767512 * -334\nAnswer: 256349008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321770009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 273 = -47. Suppose -3*w = s - 768 + 38, 496 = 2*w + 3*s. Let t = w - m. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 527\/4 - 131. Let w = 6.346 - -0.654. What is the fourth smallest value in w, z, 3, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-38 - -62) - (3 + -22 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4621 is divided by 385.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from nuunuuuuuuuuuuuuuuuu.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 14*b - 3536. Let m = b - 208. Sort m, 4, 5, -10 in descending order.\nAnswer: 5, 4, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24614 is divided by 24524?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*y + 4, 843*y + 3 = -5*t + 846*y. Solve 4*x - 5*m - 35 = t, 15 = x - 2*m + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 2*y + 19. Give v(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -2631*f**4\/8 + 604*f**3 - 2937*f**2. Differentiate b(s) wrt s.\nAnswer: -7893","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*5*84\/280*(-170)\/51?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 59\/5 + 4\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -273188?\nAnswer: 273186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -493, -1108, -1979, -3112, -4513, -6188, -8143?\nAnswer: -10384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.568 - 0.568. Let a = -1 + 0.9. What is the second smallest value in a, m, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 21*o**2 - 2*o + 1 + 2*o to c*o**2 + g + p*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i. Let j(c) = 18*c. Calculate j(v(y)).\nAnswer: -252*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/4 + 47*a**4\/8 + 333*a**3\/8 + 805*a**2\/8 + 325*a\/8 = 0. Calculate a.\nAnswer: -13, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1231*d + 1347. What is the remainder when k(-4) is divided by 783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**2 - 8 + 4*l**4 + 13 - 4 - 2*l**3 in the form r + z*l**3 + v*l + x*l**4 + b*l**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/12 + t**4\/12 - t**3\/2 + 8*t**2. Let k(p) = -19*p**2 + 8*p - 13. Let w(c) = -2*k(c) + 9*l(c). Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -463, 9 in decreasing order.\nAnswer: 9, -2, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.2, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 12*z**2 - 7*z + 6. Let k be x(10). Let t be (-1)\/3*k\/8. Let l = t + -8. Solve 0 = -4*i - l*f - 35, -3*i - 29 = f - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 33. Solve k + 16 = 3*o, a*o = 4 + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07883 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(20) + 0)**2*1 + -2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1.572864.\nAnswer: 3.427136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2170\/30 - 1\/3. Suppose 0 = -8*k + 10*k - t. Calculate the remainder when k is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -0.5, -0.4, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442 = 385*p - 359*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 9*g - 8. Let h be v(7). Suppose 0 = -b + m - h, m = 4*b + 15 + 6. Calculate the common denominator of b\/(-10) + 29\/6 and -7\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -25. List the prime factors of 10\/(-35) + (-11945)\/i.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m - 12*m + 13*m + (0 - 4 + 1)*(1 + m - 1) - 2 + 2 - 2*m to o + p*m and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125.7 + 131. Let z = x - 6.1. What is the closest to z in 1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j + 3*j - 3*j + 2*j. Let y(z) be the first derivative of -8*z**3\/3 + 58. Calculate y(b(l)).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 499*b**2 - 62499*b - 62001 = 0. What is b?\nAnswer: -249, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -1285, -4362, -10337, -20170?\nAnswer: -34821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 617 + 427. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2 + 0*v + 0*v**4 + 2\/5*v**5 + 2*v**2 - 2*v**3. Let b(a) = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 4*l + 4. Let x be d(4). Let p = 143 - 146. Let j be (-12)\/(6\/9*(0 + p)). Solve 2*h + x = -j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = -27*q + 4*r + 50, 0 = -r for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -11*s - 84. Let v = s - -191\/9. Which is the second biggest value? (a) 9 (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 - 84.\nAnswer: 3*(w - 14)*(w + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q*q*q*q**5)**40\/((q**(5\/4)*q*q*q)\/q**(-6\/11)))**(-2))**(-20) assuming q is positive.\nAnswer: q**(191490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 118.\nAnswer: 35\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*(t*t**(-1\/2)\/t)\/t)**(14\/5)\/((t**(-2\/5))**(-1\/9))**(-1\/4) assuming t is positive.\nAnswer: t**(379\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 683498?\nAnswer: -6834980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -35*n. Let d(o) = -83 - 10*o + 83 + 5*o. Determine v(d(a)).\nAnswer: 175*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -110 (b) -1\/6 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/215688 and -163\/2508.\nAnswer: 215688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in 1392, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2 - (-1)\/2. Is (5 - 2) + b*14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -483\/10 - -97\/2. What is the third smallest value in s, -6\/5, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67641 and 24?\nAnswer: 541128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 25\/217, 5, 1\/10, -2\/3 in increasing order.\nAnswer: -2\/3, -0.4, 1\/10, 25\/217, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197329 by -1.\nAnswer: 197329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 - 19782*n**2 - 197811*n\/5 - 98904\/5.\nAnswer: -3*(n + 1)**2*(n + 32968)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 3*r + (2 + 3 - 6)*(-2*r + 0 + 0))*(-6 - 60*r**3 + 4*r + 61*r**3 - 1).\nAnswer: 3*r**4 + 12*r**2 - 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11316 and 259716?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t + 32. Let k(s) = -s**2 - 9*s - 5. Let v be k(t). Suppose -w - 2*w = -2*b + 185, v*b - 3*w = 282. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10\/39, 0.4 in decreasing order.\nAnswer: 4, 0.4, 10\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2 = l, 0 = 2*l - 2*x - 4 - 0. Suppose -l*f + 0 = -24. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12312043967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2481351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 67*u**2 - 6*u + 59. List the prime factors of z(5).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, 5, 507 in descending order.\nAnswer: 507, 187, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let t(s) = s + 1. Let k(u) = -2*u - 1. Let m(v) = -6*k(v) - 11*t(v). Let c be m(6). Sort c, -4, y.\nAnswer: -4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620770816 to the power of 1\/2, to the nearest integer?\nAnswer: 51193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 - -7. Let l = 0.0441 + 4.9559. Which is the third biggest value? (a) l (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1101343.94?\nAnswer: 1101344.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7161 = 30*p + 7401 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 1 - 2 + 0 + 0. Let n(x) = -3*x + 5. Give -5*i(l) - 3*n(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -30. What are the prime factors of 1 - -118 - (b + 5)\/5?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 15, -0.5, -58?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612 less than or equal to -3046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2744 + 2376 = -20*l. Let n be (l\/(-120) + -2)\/((-8)\/10). Let k = -241\/3 - -81. What is the nearest to -0.3 in -3, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:36 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.841 years in centuries?\nAnswer: 7.02841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 14*m**2 - 16*m - 5. Give s(-5).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52885.77 millennia to months.\nAnswer: 634629240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1638 - -1634. Let m(s) = -s - 7. Calculate m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 71?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o + 1432. Let h = -234 - o. Suppose -l - h = -5*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + 13 + 4*h**2 - 10*h - 2*h**3 - 3*h**2 + h**3 to k + g*h**3 + y*h**2 + o*h and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.00467, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -298 + 3887. Does 97 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 + (-2 - 0) - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5790 + 1?\nAnswer: -578c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l + 1. Let b be f(1). Suppose -36 - b = -2*t. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -42. Suppose p*v = 27 + 9. Solve 5*j = v + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.838 - 0.162. Let x = r + 70. Which is smaller: x or -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1019 - -1013. Which is the second smallest value? (a) 11 (b) y (c) -0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let p(d) = 4*d**2 - 10*d**2 - 2*d**2. Calculate b(p(r)).\nAnswer: -128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5436?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(252) - sqrt(252)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4616700 and 36300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563576287?\nAnswer: 1301, 433187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/78 and -9\/260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7286775 by 6.\nAnswer: 2428925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -11?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 1907*w**3 + w - 3814*w**3 + 1914*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 189?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -430.89185.\nAnswer: -43.089185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 43 = 5*a, 2*a - 223 = -4*u + 5*a. Calculate the least common multiple of ((-10)\/15 + (-28)\/(-6))\/2 and u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -2\/13, 15\/8, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43\/3? (a) 1\/5 (b) 0.021 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let t(a) = 4*a**2 - 4*a. Let i be t(2). Let f(l) = 4 - 4 - 6*l + i*l. Calculate f(q(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3456764 and 12272.\nAnswer: -3444492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 930*m**2 - 16305*m + 73480.\nAnswer: -5*(m - 167)*(m - 11)*(m - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/19)*g\/(g*g\/(g**10*g))*(g\/((g**11\/g)\/g))\/g**1)**(-15\/4) assuming g is positive.\nAnswer: g**(-135\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365974*x**3 - 22*x - 1944?\nAnswer: -2195844*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-14))\/((-1)\/26). Suppose -5*y + z = -3*j, -31 + 23 = 2*j - 3*y. Which is the closest to j? (a) 0.2 (b) -3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372761*u**2*x**4 - 3*u**2*x + 114*u**2 - 15*u*x**5 + 10*u - 196*x + 1 wrt x.\nAnswer: 4473132*u**2*x**2 - 300*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 69 = -5*d, 4*d + 37 = 7*d + 5*s. Find the third derivative of -d*x**5 - 42*x**2 - 37*x**5 - 16*x**5 + 11*x**5 wrt x.\nAnswer: -3360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100010 - 111101010111010?\nAnswer: -111100110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 3*k + 5. Suppose -5 + 1 = -2*n. Let g be 14\/4 - (-1)\/n. Suppose -2*a + 3*a = -g. Determine w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2. Let l(y) = -8*y**2 + 5*y + 6. Give 3*k(o) - l(o).\nAnswer: 11*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*r - d - 104, -4*r + 76 = -4*d. Suppose -5 - 15 = -5*f. Solve -2*v - 3 = 3*p + 3*v, f*p - 2*v - r = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*y - 10 - 18.\nAnswer: -2*y - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 7. Let m(u) be the third derivative of -u**5\/30 + u**3 - 10*u**2 - 3. Suppose 63 - 9 = 9*z. Calculate z*m(g) + 5*k(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6267 + 1.5027. Sort -0.5, 1\/3, o, 4\/3.\nAnswer: -0.5, o, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*x**5 + 1741*x?\nAnswer: -5820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 22*a**2 - 4*a + 90. Let o = 12200 + -12178. Give r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30040 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: Let i = -110 - -337. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128846 is divided by 14306.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -22.8. What is the third smallest value in -2\/15, h, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364152026 divided by -2\nAnswer: 182076013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2210\/91 + (-2)\/7. Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 7*j + 3. Let h(z) = -7*z**2 - 46*z + 9. Calculate the least common multiple of h(-6) and o(9).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.1418\nAnswer: -0.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 14*f**2 - 5*f - 3. What is c(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -9*m**5\/10 + m**4\/12 - 65*m**3\/6 + 383*m. What is the second derivative of o(p) wrt p?\nAnswer: -108*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 5*z - 170. Suppose 3*r - 41 = -5*s, 3*r + s + s = 38. Suppose a - r = -o + 2*a, 0 = 2*a. Calculate the remainder when z is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, 8, 20, 32, 44?\n\"Answer: 12*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(50)\/(4*sqrt(5) - sqrt(5))) - ((-1 + sqrt(180))**2 + sqrt(180) + (sqrt(25)\/sqrt(5) - sqrt(5))**2 + 2).\nAnswer: -183 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlqiu. What is prob of sequence ui?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3316, -4017, -4702, -5365, -6000?\n\"Answer: y**3 + 2*y**2 - 714*y - 2605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 810*y - 4908. Calculate f(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - x - 3)*(-4*x + 2*x + x) + (-2 + 5 - 2)*(1 - 1 + 2*x**2) - x**2 + 3*x**2 - 7*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h**4 - 5*h**2 + 5*h**2 + (3*h**2 + 3 - 3 + 3)*(0*h**2 + h**2 + 0*h**2).\nAnswer: -8*h**4 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*-4*4.\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 + 475*m**4 = 0. What is m?\nAnswer: -95, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k - 1)*(6*k - k - 4*k) - 683 + 188*k**2 + 337 + 348.\nAnswer: 190*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.2 (c) -0.16 (d) -1587 (e) 56 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 45*c**2 + 20 + 61*c**3 - 2*c + 16 - 8*c**2 - 45*c**3 as o*c**2 + u*c + b*c**3 + t and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 406 - 2653146?\nAnswer: -2652440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*a - 144759 + 2*a**3 + 10*a - 27*a - 10*a**2 + 144761 to k + d*a**2 + y*a + v*a**3 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 7*j + 6. Let k = -4 + -1. Let n be o(k). Let x(a) = a**3 + 5*a**2 + a - 4. Determine x(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 17 + 43. Let g be (-4)\/54*(-30)\/d. Let m = -8 + 6. Sort g, 5, m in descending order.\nAnswer: 5, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 43 = -6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 152*r + 5782. Calculate m(72).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 4*a + 2*a. Let q = a - -53. Suppose -3*x + 269 = -2*z, -z + 355 = -2*x + 6*x. Calculate the remainder when x is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.4 (b) -1\/5 (c) -52 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 318 - 311. Suppose 3*y + 3*t - 54 = 0, 64 = 4*y + 9*t - w*t. What is the highest common factor of y and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.85 + -3.89. Which is the nearest to -1\/4? (a) t (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let y(j) = 1888*j**2. Determine w(y(v)).\nAnswer: -3564544*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 23. Are -4 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*w + 77 = 20, -36 = -4*d - 4*w. Let c be d\/(-12) + (21\/12 - 2). Let a be (-3)\/2 - (-68)\/56. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**8\/6720 + a**7\/840 + a**6\/120 - a**5\/30 - a**4\/24 + a**2. Let k(z) be the second derivative of f(z). Determine k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 448.51093 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 69077.82 centuries?\nAnswer: 6907.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18. Solve c - 4*t + 16 = h, 0 + 1 = 4*c - 3*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-7\/4)*a)**(-25) assuming a is positive.\nAnswer: a**(-375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/2673 + -21370\/18711. Let b = -0.6 + 0.9. What is the third biggest value in b, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*x - 307*x - 5*a + 23, 9*x + 5*a = 47 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6772*w - 6469*w - 25915 = -12876*w for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -39.5. Which is the third smallest value? (a) j (b) 0 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1540*k - s = -1554*k - 30, 2*k - 5*s + 82 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -769\nAnswer: -9997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*x = 274*x + 3816 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s = -121 - 245 - 294 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/3 (c) 2085261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 7 + 6 + 4. Suppose -3*k - 2*i + 17 = 0, -4*k + 2*k - 2*i = -14. Let q(g) = -g - 5 + 4*g + g + k*g. What is -3*q(a) - 5*z(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10023 and 1443.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/7 - 1 - (-6)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7795069 to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035208447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/((-22)\/(-4) - 3 - 3). Suppose 0 = -a + 4*n - 9 - 21, 0 = 4*n - t. Is (223\/(-2))\/(((-5)\/a)\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*y**5\/3 + 908*y**4\/3 - 589*y**3\/3 - 1943666*y**2\/3 + 10830944*y - 3041664 = 0. Calculate y.\nAnswer: -89, 2\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:04 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739677 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.74 less than 0.185?\nAnswer: 5.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8107 and 9449?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*u + 28, -2*u + 8 = 2*h - 6. Suppose -3*y = -4*r + 31, 0*y - 2*r - h = 3*y. Let t(z) = -8*z + 5. Let m(n) = -7*n + 4. What is y*t(o) + 6*m(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8) + 12 + (-13 - 10) + 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*b - u + 18, b + 3*u - 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -116. What is the third biggest value in y, 6, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 27. What is the closest to 0 in -2\/13, -0.4, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 97\/(-11) + 6\/(-33). Let c be ((-1880)\/30)\/((-2)\/u). Is (3\/9)\/((-2)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -80. Does 35 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7102 - 1567 = 240*q - 749 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + x - 2. Let z be s(1). Let g(y) = 2*y + 26. Let q be g(z). Suppose 77 = -15*u + q*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 37*f**2 + 5*f - 25. Let v(x) = -38*x**2 - 8*x + 28. Let m(s) = 6*j(s) + 5*v(s). Let w(q) = -11*q**2 + 3*q + 3. What is -3*m(g) - 10*w(g)?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*d - 491*d + 341 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, 0.08, 2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1129839389 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from vowvwoxqaovwx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0*z + z + 2*z) + 0 + 3*z + 0 + (1 + 2*z - 1)*(-1 + 0 + 3).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4332321 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 2*b + 26, -34*b = -3*i - 39*b + 27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 10*y**2 + 29 - 15 to q*y + h + k*y**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c - 8 = 0. Let o = c - -1. Solve 3*y + 11 = b, 0*y + 37 = -o*b - 5*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.3, 786622, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17245, 5 in descending order.\nAnswer: 5, -3, -17245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3981*k - 2008*k + k**3 - 1992*k - 2 + k**4 as t + g*k**4 + h*k**3 + f*k + x*k**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.265 - 0.035. Let c = -5 - o. Let t = 0.5 - c. What is the third biggest value in t, 2\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7051 = -884*b + 4198 + 14387 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = -104. Let g = d - 32. Suppose -2*s + g = -4*m, s + 2*s + m - 44 = 0. What is the highest common divisor of s and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*o - 17*o**3 - 64*o - 4*o**3 to the form z*o**2 + u*o + a*o**3 + q and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 187\/3*c + 184 + 1\/3*c**2 = 0.\nAnswer: -184, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -76. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3. Let l be v(6). What are the prime factors of 224\/42*l\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, -0.3, -10 in decreasing order.\nAnswer: 0.5, -0.3, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -10.977.\nAnswer: -10.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-15) + 75396\/180 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 20*z**2 + 66*z - 184. What is s(12)?\nAnswer: 1760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533669 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 14. Let h(k) = k + 6. Let s(v) = -14*h(v) + 6*u(v). Let m(l) = 6*l**2. Determine s(m(z)).\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22645310679 and -0.029.\nAnswer: -22645310679.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + 22*s**2 - 7*s + 103. Let f be a(-8). Let u = 11 - 7. Solve -f = u*x - 35 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 521 in -0.04, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m - 2. Let h be c(-2). Let q = h + -65\/2. Let r = -54.3 - -54. What is the second biggest value in -5, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 565.5 - 565. Let s = -0.06 - -7.06. Which is the nearest to 2\/3? (a) r (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n*p*v + 2*n*p - 4*n*v + 2*p*v + 146*p - 292*v - 1 wrt p.\nAnswer: -3*n*v + 2*n + 2*v + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i. Let h be a(3). Let b = h - -38. Let f be b\/3 - 63\/(-27). Solve f + 3 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*o**2 + 0 + (8 + 0 - 4)*(o**2 + 2*o**2 - o**2) - 5*o**2 + 3*o**2 + o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2552295821 and 0.\nAnswer: 0.2552295821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -54.04. Let p = k + -1.76. Which is the biggest value? (a) -4 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45831*h - 503851.\nAnswer: -45831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5099\/310875 - -1\/2487. Let g = p + -48\/125. Which is the nearest to -0.1? (a) 2 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14069, -3, -1, -2 in increasing order.\nAnswer: -14069, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0*v**4 - 1\/20*v**5 + 0 - 7\/6*v**3 + 0*v - v**2. What is the first derivative of g(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*i - 24 = 0, -120*s = -123*s - 2*i - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152\/3 + 27989\/552. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/9, -0.007, -4463.7?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.04 + 1.084. Let l = -0.044000047 + t. What is l rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*g, 0 = 5*g + 10*i - 11*i + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a - 1. Let t(v) = -3*v**2 - v - 3. What is t(p) - 6*w(p)?\nAnswer: 3*p**2 + 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3130303113311 - -2?\nAnswer: 3130303113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 at most as big as 63145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -22*l**5 - 72*l**4 + 176*l**3 + 576*l**2 - 352*l - 1152 = 0?\nAnswer: -36\/11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -40*s + 6 - 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89041\/20 + -4448. Calculate the common denominator of q and (-4)\/30*852\/(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y - 2*q = 999, -3*y - q + 606 = 0. What is the remainder when y is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1552768 and -41\/55456.\nAnswer: 1552768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by -13657\nAnswer: 74\/13657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4012044798.\nAnswer: 2, 3, 353, 547, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 173795 + -14?\nAnswer: 173781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.111 + -0.211. Let p = s + 0.2. Let c = 0.5 + -7.5. Sort -0.5, c, p in ascending order.\nAnswer: c, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -82. Let u be 18\/5*25\/s. Suppose 0 = 2*y + 4*h - 276, y - 2*h = -u*h + 148. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**3 + 5*b - 6. Let u be a(2). Suppose -2*h - 69 = -h. Let w = h - u. Let x(p) = -9*p. Determine x(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1))\/g)**(38\/5)\/((g*(g*g**(-7))\/g)\/g**(-2\/5)))\/((g\/((g\/g**3*g)\/g)*g*g**(-4\/5)\/g)\/(g*g\/(g*g**1*g))**6) assuming g is positive.\nAnswer: g**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 21 = -3*n + 5*n, 4*h + 27 = 5*n. Suppose s - 76 = -n*s - 3*l, 2*s - 12 = 5*l. What is the greatest common factor of s and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -13 - -10)\/((-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -570427.4 to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2232123222?\nAnswer: -2232123222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -318654 divided by 27\nAnswer: -11802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s. Suppose s = -3*d - 142 + 19. What is the remainder when 38 is divided by d\/(-4) + (-2)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/7 + 6*w**2\/7 + 4*w\/7 = 0 for w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 k when three letters picked without replacement from fffqqfkfffffqff.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*l + 366008, 2*l + 12*u = 15*u + 366012. What is l rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1368, -2740, -4112, -5484?\nAnswer: -6856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*m - 5*n - 7, -5*n - 40 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwtvvxvexvetvve. Give prob of sequence exx.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -3408, 0.6, -28, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:59 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*k = 0. Suppose -f = -k*f - 28. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 12*w**2 - w - 8. Let f be d(-12). What is the first derivative of 4 + 5*x**3 + 3 - f + 0 wrt x?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*t = -40, -l + 185 - 171 = 2*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 3*h**3 - h**3)*(13222*h**2 - 4879*h**2 - 1225*h**2 + 14390*h**2).\nAnswer: -21508*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1898 + -1671. Calculate the remainder when r is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -659 + 664. Let c(h) be the second derivative of 1\/20*h**a + 0*h**2 + 2\/3*h**4 - h + h**3 + 0. What is c(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 51 - g**2 - 4*g - 44 + 2*g**2 - 2*g**2. Let p = -254 + 247. Calculate a(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -13) + (-1)\/1. Let r(u) = 2*u + 4 + 4 - 6. Let g be r(11). What is the greatest common factor of g and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647170460 to the power of 1\/2, to the nearest integer?\nAnswer: 25440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420500 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 22684 = -3626. What are the prime factors of o?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.000446 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 i when four letters picked without replacement from iliiirl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = -5*f + 12*u - 20, 2*u = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9*m + 4)*(-4 - 30 - 21).\nAnswer: 495*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31b74 (base 13) to base 4.\nAnswer: -111323222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 7. Let j = 0 + -6. Let p be l(j). Sort -3, p, -1.\nAnswer: p, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 40502?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 2*u + 5*d, 3*u - 545*d - 39 = -548*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4 - (-2*11 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.2729 + -5\nAnswer: 18.2729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 35, 48, 61, 74, 87?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 27.6. Let x = 162 - 157. Which is the nearest to -0.2? (a) z (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-3))\/1 + 3. Let y(a) = i*a**2 - 2*a**2 - a**2 + 1 + 5. Determine y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oczz when four letters picked without replacement from {o: 1, c: 1, z: 2, d: 1, r: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 157 + 145 + (3 - 4 + 2)*(-2 + 2 - 2) - 2 + 5 - 1)*(-2*r + 1 - 1)*(1 + 0 + 1).\nAnswer: -1116*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103168 and 649792?\nAnswer: 80574208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 4. Let i be o(8). Suppose -4*g + i - 4 = 0. Suppose -g*b - 3*u + 31 = 0, 0 = 2*b + 4*u - 32 + 4. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q*(q\/(q**(-4\/15)\/q))\/q*q*q*q)\/q)*q**(3\/8) assuming q is positive.\nAnswer: q**(-347\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*t = 105, 3*l - 4*t - 63 = -t. Suppose -f + 13 = 3*i, -2*i + 6*f = 2*f - 4. Suppose i*v + 2 = 46. What is the remainder when l is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-876)\/(-84) - 10)*7 + (-21)\/(-2)\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 502 + -477. What is the least common multiple of 420 and n?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a hour in minutes?\nAnswer: 1220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-33)\/(-55))\/(2\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7913 divided by -10\nAnswer: 7913\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002015 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*s + 13600, -7 = 2*s - 3. Does 43 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/11, -15, 356, -0.18?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -182*o + 695 - 695 + (-4 + 0 + 2)*(o + 2*o - 4*o).\nAnswer: -180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/9067088 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 - 91b9?\nAnswer: -921b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1377401348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 242.72763ns?\nAnswer: 0.0000000040454605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -4*y. Suppose 0 = -q + y*q - 53. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435685763.\nAnswer: 7, 23, 3301, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16288009?\nAnswer: 181, 89989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is de - 4?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let p(m) = -275462*m - 1. Determine p(z(t)).\nAnswer: -275462*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 3*o + 156, 4*u + 7032*o - 154 = 3515*o + 3520*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213807 divided by -9?\nAnswer: -71269\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -21. Suppose -5*r - 4*p = -88, 5*p = f*r - 3 - 19. Let t = r - 13. Calculate the highest common divisor of t and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 14. What is the remainder when 45 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/20*48\/(-126)*9)\/((-1964)\/(-14730)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((0 - 1) + 5). Let r(m) = 7*m**2 - m - 3. Let g(v) = -v**2 + v. Let q = 67 - 66. Let n(b) = q*r(b) + 6*g(b). What is n(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15. Let b(q) be the second derivative of -1\/6*q**4 + s + 7\/90*q**5 + 0*q**2 + 2\/27*q**3 + 2*q. Factor b(g).\nAnswer: 2*g*(g - 1)*(7*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5961.89 and -12.218286?\nAnswer: 5949.671714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.28 - 4.25. Let n = s - 0.03. Let d = n + 1.9. Put d, -0.2, -5 in decreasing order.\nAnswer: d, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6 - (-7)\/(-42). Let g = -0.38 + 0.78. What is the second biggest value in g, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 83319, -63 in descending order.\nAnswer: 83319, -47, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228679533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.2836487\nAnswer: 0.02836487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3, -2*o = -3*i - i + 7506. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7824850 by -110.\nAnswer: -71135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*(sqrt(1872)*2 + sqrt(1872)) + 0 + (sqrt(1872)*1*-2 - (sqrt(1872) + -4 + -2*sqrt(1872))))**2)*-1.\nAnswer: -7507 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-3) - 34240\/(-192)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 3. What is the units digit of ((-56)\/(-21))\/(m\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21*k. Let t(q) = 225*q**2 + 7*q - 27. Calculate o(t(f)).\nAnswer: 4725*f**2 + 147*f - 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3833632 and 192.\nAnswer: 23001792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 15 = 7*w, -w + 12 = -527*h + 532*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3 + 2256*i**2 - 4500*i + 2248 = 0.\nAnswer: 1, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*b - 823*b + 4149*b - 827*b - 838*b - 830*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - d + 1. Suppose 0 = -18*h + 23*h - 15. Let c(i) = 5*i**3 - 2 - 3*i**2 + 8*i**2 - h + 0 + 5*i. Give c(j) + 5*m(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*b*j**2 - 3366*b*j - 3*b*r**2 - 9*b*r - 401*b - j**2 - 2*j*r**2 - r + 3 with respect to j.\nAnswer: 24*b*j - 3366*b - 2*j - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.5235 and 1385.\nAnswer: 1372.4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l**(13\/4)\/l))*l)\/(l\/l**(-10\/9))*((l\/l**(-21))\/l)\/l**(5\/3))**(-25\/2) assuming l is positive.\nAnswer: l**(-17525\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010531805 to seven dps.\nAnswer: 0.0001053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 203.5. Let z = 11 + -2. Which is the biggest value? (a) z (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15622*g - 2555*g + 13613*g + 2506*g as d*g + n and give d.\nAnswer: 29186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.102 - -0.23. Let j = 0.9 - s. Let l = j - 0.068. What is the smallest value in l, -1, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -43.5 (b) 2\/3 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4040.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 2) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 19 = -b + 4*b, 0 = -5*u - 25. Let n(s) = -s + 1. Suppose -6 = -4*k - 14. Let a be n(k). Is a at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -253, -2287, -6085, -11653, -18997?\n\"Answer: -a**3 - 876*a**2 + 601*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 789274593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*(-1)\/45*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 1. Suppose -5 + t = -2*f. Suppose -d = -o - 5*d - 5, -2*o = 5*d + 4. Solve 5*q = 2*v + 24, o*q = -f*q - 5*v + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*y**6 + 52*y**3 + 1765*y**2?\nAnswer: 5880*y**3 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*l + 16, 5*l = 5*u - 4*u + 31. Let m be (u\/4)\/((-2)\/4). Calculate the greatest common divisor of 33 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 not equal to 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 14196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/28 - (-90)\/(-240)*-2)\/((-10)\/(-7)). Factor -2\/15*l**2 + 2\/5*l + 0 - a*l**3 + 2\/15*l**4.\nAnswer: 2*l*(l - 3)*(l - 1)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:02 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + 0 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 + 12070 - 12070 - 32*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19517 <= -19511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/28 - (110\/(-12) + 1). Let u(l) be the first derivative of a*l**3 - 8*l + 1 - 6*l**2. Solve u(d) = 0 for d.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 152*b + 780. Let m be c(5). Solve 54 = -8*x + m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17750.7 - 17751. Let u = -0.4 - 1.6. Which is the closest to m? (a) 0 (b) u (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.5, -0.076?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.46, -53384, -1?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 22 = 5*j, -5*s + 19 = 5*j - 3*j. Suppose -4*r + 0*r - 24 = 0. Let k = 8 + r. Solve j*l - k = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973 is divided by 598.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533998513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.8 + 9. Let t = 2.18 + 0.82. Let y be (-1 - (-1 + -1))*-1. Which is the nearest to h? (a) t (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 18*m**2 + 6*m. Let p be i(-17). What is the highest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5635725*l + 10232553.\nAnswer: -5635725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:55 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12900)\/(-3)*4\/5. Let b be (1\/(-2) - 2)*-14. Let i be h\/b - 4\/14. Round i to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11341 (base 6) in base 16?\nAnswer: -66d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 31. Let p be s(-40). Which is smaller: -150 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Is (929\/g)\/(5\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -24*l - 4. Let w be s(-3). Suppose 56 = -5*u + r, r + r + w = -5*u. Sort -4, u, 0 in ascending order.\nAnswer: u, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 20*b - 22. Suppose 27 = g - 3*m, g + 2*m = 3*m + 23. Let k be c(g). What is the second biggest value in 4\/5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 410 and 413 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1617 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/5 + 7*b**4\/5 + 6*b**3\/5 - 31*b**2\/5 + 8*b\/5 + 12\/5 = 0 for b.\nAnswer: -2, -1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0 + 2\/3*u**3 - 2*u + u**2 + 1\/3*u**4. Let t be b(-3). Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1998831\/4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 3*h**2 - h - 1. Let r be q(-3). Suppose 3*i = r*i + 18. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 37*r + 119. Let c be t(-6). Solve i = -5*o - 5, 4*i - c = 5*o + 7*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33\/94144 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w + 4*w**2 + 0 - 1\/30*w**6 + 1\/6*w**4 + 0*w**3 + 0*w**5. What is the second derivative of h(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, 0.4, -3\/323593 in descending order.\nAnswer: 2.8, 0.4, -3\/323593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -231394680 divided by -3292\nAnswer: 70290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a - 1. Let c(n) = 17*n - 2. Let v(x) = -43*x**2. Let f be v(-1). Let o = -56 - f. Determine o*k(q) + 6*c(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 2}. Give prob of picking 1 x and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3321200131 (base 4) to base 5\nAnswer: 230200411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*q**3 + 2 + 60*q**3 + 56*q**3 - 2*q**4 + (-3*q + 4*q + 0*q)*(q**3 + 0*q**3 + 0*q**3) + 5*q**4 - q**4 - 2*q**4 - 2*q**4 + q**4 + 10*q**4.\nAnswer: 10*q**4 - q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 - 6 = -2*s, -3*c - 20 = -4*s. Let a(t) = -t**3 + 6*t**2 - t - 3. Let y be a(3). Suppose -4*x + y = -59. Solve -s*d = -0*d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18720 divided by 1170?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/160*q**6 + 1\/4*q**3 - 10*q**2 + 3\/80*q**5 + 0*q + 0 - 5\/32*q**4 - 1\/280*q**7. Factor c(w).\nAnswer: -3*(w - 1)**3*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 18. Suppose 3*q**3 - 58*q + 58*q - 3*q**y = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - a + 7511, -4*a - 36 = -32. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*w - 133*w - 5256 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, e: 11}. What is prob of picking 3 e and 1 x?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2. Let y(a) = 7*a**2. Let x(b) = 4*l(b) - 7*y(b). Let s(v) = -2*v**2. Give s(x(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 481300 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1553, 376, -2817, -9034, -19283, -34572, -55909, -84302?\n\"Answer: -168*o**3 - o + 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 245911940 - 278372288605\/1132. Let p = r - 6\/283. What is the common denominator of p and 83\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010001010100 (base 2) in base 13?\nAnswer: -36331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 143 = 1177. What is the highest common factor of j and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -17?\nAnswer: -48\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y. Let c(x) be the first derivative of -x**2\/2 + 6. Determine l(c(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 955, 4114, 9371, 16720, 26155, 37670, 51259?\n\"Answer: -z**3 + 1055*z**2 + z - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3259 + 3259.1. What is the nearest to -8 in -1, -3, 4\/3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26301108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + (1 + sqrt(108) - sqrt(108)) + sqrt(108))**2*1 + (sqrt(192)*-2 - (1*sqrt(21)\/sqrt(7))**2).\nAnswer: -58*sqrt(3) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/20*r**5 + 1\/2*r**4 + 0 + 0*r**2 - 2\/3*r**3 + r. What is the units digit of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 373*p - 2. Let f(v) = -9*v. Let w(j) = -37*j. Let n(h) = 25*f(h) - 6*w(h). Give n(s(d)).\nAnswer: -1119*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 58 - 3*l - 3*l + 16*l. Let w be k(-14). Let d = 1\/27 - -79\/54. Which is the nearest to d? (a) -0.5 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272073571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 2*o + 40*o - 561 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -11. Let z be 124\/(-28) - -2 - -3. What is the second smallest value in z, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -77199.\nAnswer: -3\/25733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425752193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222*i**4 + 45866*i**3 - 75268*i - 463 wrt i.\nAnswer: 2664*i**2 + 275196*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(-3*2*sqrt(95) - (sqrt(95) + (sqrt(95) - 4*-1*sqrt(95)) + sqrt(95) - sqrt(95))))\/((1*(sqrt(5) - -1*sqrt(5)) + sqrt(40)\/sqrt(128))*-1))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 303422 - 15?\nAnswer: 303405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/24180 and 139\/24180?\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*w = 204*w + 190260000. Round w to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*d - 119, 4*a - 203 = 3*d - 8*d. What is the highest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -44 - (7 + (1 + 1 - 4))) + -1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011 = 558*f - 298*f - 1889 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 10. Let k(q) = -4 + o*q**2 + 1 + q - 6*q - 3*q**2. Suppose v - 2 = 2. What is k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -3\/11 (c) 4 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -314265?\nAnswer: 314270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/66325 and -13\/623455.\nAnswer: 3117275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*f - 34 - 29, 3*v = -4*f + 25. Let l = 9 - v. Let w(j) = -3*j + 10. Let s be w(l). Is 16 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.235561456394 from -649.\nAnswer: -648.764438543606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028638 to seven dps.\nAnswer: -0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = f - 0*f, -16 = -5*f + 3*t. Suppose -360 = -4*k - f*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 5, m: 1, f: 4}. Give prob of sequence ymy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -3. Let g = -9 + o. Sort 3, g, -4 in ascending order.\nAnswer: g, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21359285.\nAnswer: 5, 71, 60167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 9) to base 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + -5 + (12 + -19 - -5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 3*p**2 + 2*p - 1. Suppose 30 = 5*a - 60*h + 53*h, 0 = 4*h + 20. Let s(t) = 3*t**2 + 2*t**3 - t**3 - 2*t**2 + t. What is a*d(z) + 3*s(z)?\nAnswer: -z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10131 + -1013?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/2 + 3\/(-6). Let o be 1*(-2)\/(-1) - 1. Let n = 2 + o. Solve -2*y + n*h - 6 = 0, 3*y + i = 4*y + 5*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*x = 661, 8*m - x - 1633 = 3*m. List the prime factors of m.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*j + 38 - 26 = 0, -21 = s - 2*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24356 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.835454 years in decades?\nAnswer: 0.8835454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/116)\/(5\/((-20)\/2))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 0 (b) -0.5 (c) -24\/11 (d) -39\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3496576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 3) to base 10\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042276 to 5 dps.\nAnswer: 0.00423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -22*c + 2663. Calculate j(121).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4841 - -4841. What is the third smallest value in -1, -6\/13, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 3*w - 4. Let x be b(-5). Let r be (16\/3)\/2*(-975)\/(-260). Solve r = x*l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*f*y**4 - 24*f*y**2 + 2*f wrt y.\nAnswer: -3456*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-6)\/(-18)*39\/(-65)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1108690 and -0.09.\nAnswer: -99782.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27767*x - 17531*x + 32333*x.\nAnswer: 42569*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.157 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2 - 4) + (3 - 1). Solve 3 = t - k*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 2159106.\nAnswer: 2159106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143363027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 881 divide 906610670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 88 (b) 5 (c) 0 (d) -307\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 10584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 26*l - 34. Let o(d) = -3*d**2 + 20*d - 26. Let b(v) = -3*f(v) + 4*o(v). Let q(g) = -g**3 - 7*g**2 + 5*g - 5. Calculate -5*b(j) + 2*q(j).\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - (-11)\/(-3). Which is the closest to p? (a) -0.1 (b) -1 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4*v**2 - 949*u**3*v**2 - u**2*v**2 - 2*u*v**2 - 141 wrt u?\nAnswer: 24*u*v**2 - 5694*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 3*j)*(-2 + 2 + j**4) + (1 + 1 + 1)*(-4*j**5 + 4*j**5 - 2*j**5).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:16 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let r(q) = -q**2 + 2*q + 4. Let z be r(0). Let i(b) = -4 + 4*b**2 - 4*b**2 + 2 + z*b**2. Give y(i(c)).\nAnswer: -8*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y = 40*y + 4. Suppose -2*n + 0 = -y. Do 1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(28)*-2)\/sqrt(4) - sqrt(14)\/sqrt(2)*-6.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267 divided by -7?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 75*s + 7. Let c(d) = 49*d - 117. Let z(k) = -2*k + 20. Let a(n) = -c(n) - 6*z(n). Give -7*a(r) - 3*l(r).\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -126, -11 in descending order.\nAnswer: 4, -2, -11, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/7632 and -119\/9540?\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 736318741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/98, -9, 1\/2 in increasing order.\nAnswer: -9, -5\/98, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602 divided by -59?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31674*p*s**2 - 12*s**2 - 239*s wrt p.\nAnswer: -31674*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2. Let c(v) be the first derivative of 0*v - 11 + 0*v**2 - 2\/3*v**3. Determine c(f(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 5.3. Let f = -12 - -3. Let h = f + 8.8. Which is the second smallest value? (a) -2\/13 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -4084?\nAnswer: 4083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4284, -8749, -13392, -18213, -23212, -28389, -33744?\n\"Answer: -89*h**2 - 4198*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10409 - 10407. Let c = 10 - 6. Solve c*x + 3 = -q + 6, v*x = -2*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 88*t**4 - 330*t**3 + 404*t**2 - 160*t = 0. Calculate t.\nAnswer: 0, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6)\/((-24)\/(-72)))\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -319.\nAnswer: -319, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 16*u**2 - 13*u**3 + 25*u**3 - 15*u**2 + 11*u**3 as g + v*u + x*u**3 + l*u**2 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 9 + 519 = 0. What is the least common multiple of t and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lznlunnzgnugnlgzznu. Give prob of sequence uglu.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 20*p**2 - 32*p + 62. Let m be t(-18). Let z(a) = 387*a**3 - a**2 - 14*a - 40. Let k be z(m). What is k rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 + -174. Suppose -2*r + v + 11 = -2*q, q = -r + 68. What is the highest common factor of r and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o + 3*o**2 + 42*o**4 - 241019*o**3 - 1 - 21*o + 241021*o**3 as t*o**3 + f + x*o**2 + u*o + z*o**4 and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/3 - 55*s**2\/3 - 69*s - 51 = 0.\nAnswer: -51, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*g**2 + 5*g**2 - 61*g**2 - 9*g**2 + 186*g wrt g?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718 is divided by 519.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(432) - (sqrt(432) - -5*((sqrt(432) - -4*sqrt(432)) + sqrt(432)))))\/(((sqrt(120)*-1)\/sqrt(6))\/(-4*sqrt(80))))**2.\nAnswer: 223948800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:43 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 79338*-0.599\nAnswer: -47523.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 792 divided by -4\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, w: 3}. What is prob of picking 3 w and 1 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, -3, 25, -0.5, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvniknnvcc. Give prob of sequence iv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from hdfcfhuj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164361249 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -5\/2 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 6*j**3 + 0*j**3)*(-2 + 0 + 1)*(2 + 2 - 2) + j**3 - 2*j**3 - 3*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 991933926513?\nAnswer: 991933926517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19030638?\nAnswer: 2, 3, 11, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 + 54 - 24)*(2*p**2 - 3*p**2 + 0*p**2) + (p - 3*p + 0*p)*(0 + 0 - 2*p) + p - p + 2*p**2 - 2 - 2*p**2 + 2 to the form w + r*p**2 + y*p and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -70062 divided by -2?\nAnswer: 35031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 2*m, -4*m + 3 = -2*i - 3. Let p be (-5)\/(-30)*i*0 - -2. Solve 2*f = -p*f - 3*x - 2, f + 5*x + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from uutr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171019 and -106.\nAnswer: -18128014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(0 + 1)*(-646)\/(-68). Does 10 divide (54\/15 + 3)\/(x\/380)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t = 109*t - 5*g + 2081, -3*g - 2057 = -2*t. Calculate the remainder when t is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m = 12. Suppose 0 = -5*b + 3*o - 484, 388 = -4*b - m*o + 5*o. What is b rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*i + 3*i + 3*u, 1 = 5*i - u. Suppose -i = -7*n + 27. Is 281\/n - 7\/28 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4098*g**4 + 3774?\nAnswer: 16392*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14760 divided by 3?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-180)\/(-27))\/((-1)\/(-33000)). What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1293 * 4\nAnswer: 5172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**2 + 0*n**2 + (-311 - 20*n + 311)*(2*n + n - n) + 16*n**2 - 403*n + 403*n in the form x + k*n**2 + s*n and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28083227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from wwkwaninfiki?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 45 = -4*l - 5*t, 2*l - 4*t - 28 = 0. What is the highest common factor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/4, -0.4, 0, 3\/2, 0.1, 1873?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0130425 weeks in milliseconds?\nAnswer: 7888104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 136, 312, 538, 802, 1092, 1396, 1702?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 + -102002021001200?\nAnswer: -102002021010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-91)\/390 - (-48)\/(-180). Which is the nearest to s? (a) 1\/6 (b) 12 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(98) - (sqrt(98) + sqrt(98)*2 - sqrt(98)))*-1 + -1)*5 + -1 + 4)**2.\nAnswer: -280*sqrt(2) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 2. Let y be l(2). Let d(i) = -4*i**2 + i - 3*i**3 - 5*i - 5 + 4*i**3. Let j be d(5). Sort -5, j, y.\nAnswer: -5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791083 = -5*m + 3405267. Suppose u = 6539270 - m. What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1484*a + 724*a + 253*a + 260*a + 260*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2684 divided by -22?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*c - 1882 + 7784 = 26*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 9. Let c(z) = -z + 2. Let i(x) = -18*c(x) - 4*h(x). Suppose -3*b = -2*b - 2. Let o(q) = -2*q**2 - 3*q**2 + 4*q**b. Give i(o(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u - 38. Let z be a(-11). What is the greatest common factor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4939957 and 54186.\nAnswer: 29639742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/29)*d**(-28)*((d\/d**(-3\/8))\/d)\/d**13 assuming d is positive.\nAnswer: d**(-9433\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 14*v**2 - 70*v + 990. Calculate g(7).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by -6.\nAnswer: 79\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6, -0.01, -1\/3 in ascending order.\nAnswer: -6, -0.5, -1\/3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.1337 - 0.0663. Let n = -59 - p. Which is the third biggest value? (a) -19 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1965303425 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 y when three letters picked without replacement from {r: 1, f: 4, k: 2, x: 6, c: 1, y: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 - 3*p + 3. Give r(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 983030 or 983032?\nAnswer: 983030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115580911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34730.9 weeks to minutes.\nAnswer: 350087472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-11 + 5 - -14) + 22)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 + 10*c**3 - 20*c**2 - 40*c + 48 = 0. What is c?\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387703856 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: Suppose -4*n - 3*d + 85 = 0, 4*d = -3*n + 8 + 47. Solve 29*m - n = 34*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p**(-2\/17))\/(((p\/((p\/(p*(p**1*p)\/p*p))\/p))\/p)\/(p**(-1)\/p)))**(-1\/31) assuming p is positive.\nAnswer: p**(70\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b - 4 - 4 - 1 - b**2. Let x be s(-10). Let w = x + 3. Solve -w*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0822 - 27.9178. Which is the third biggest value? (a) x (b) -3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803348.\nAnswer: 2, 7, 13, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12910329 is divided by 688.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k + 143836 = -75044. What is the greatest common divisor of 45 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i = 34*i + 534 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-35))\/(600\/350). Let g = 95 + -661\/7. Is g bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011000011001111 (base 2) to base 8\nAnswer: -130317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Let m = -5 + g. Let n = 1.8 - 1.6. What is the nearest to -0.1 in n, 3, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 11*d - 26. Let y = -242 - -249. Let g be k(y). Solve -7 = g*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3 = -3*h. Let z(b) = -25*b**3 + 1 - 129*b**3 + 26*b**3 - 2*b**2. Is z(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7123.20291 rounded to one decimal place?\nAnswer: -7123.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g + 129. Let y be j(-13). Let h be ((-1)\/6)\/(17\/(-4)). Is h at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((4 - 3)*1)\/((-1)\/(-3)). Solve h - 4*x = -2*h - 8, -15 = l*h + 3*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.18 + -2.68. Put -1, 3, 10\/9, o in decreasing order.\nAnswer: 3, 10\/9, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + -6*(sqrt(76) + 0 + 2 + sqrt(76) + ((sqrt(76) + 0)*-6 - sqrt(76))) + 2)**2.\nAnswer: -2040*sqrt(19) + 68689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + sqrt(56)\/(sqrt(24)\/sqrt(3)))*1 + -3.\nAnswer: -3 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*l - 122, 0 = 4*g + 2*l - 3*l - 140. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let t be u\/8*(0 + -1). Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 49, 46, 43, 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6 + (-1530)\/660.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2\/19 (c) -3 (d) -61 (e) 15 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.84 - -35.84. Let t be (-48)\/84*(-7)\/6. Sort 1, x, t, -0.3.\nAnswer: -0.3, x, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16920 and -113\/150.\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -a - 6, -q + 5*a - 3 = 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -946*m*t**3 - 3*m - 144*t**2 wrt t.\nAnswer: -5676*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 0. Let b(m) = -129*m - 42 + 210*m - 91*m. Let s be b(u). Let l(c) = c**3 + c**2 - 2*c. What is l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 77. Let i be c*1*(39 + -32). What is the greatest common factor of i and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 + 4*s**3 + 7*s**3 + 7*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -493\/1940 + 2\/485. Let k be 4\/18*(-9)\/6. Is k <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64488?\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, 367, 1015, 1903, 3019, 4351, 5887, 7615?\n\"Answer: -2*f**3 + 138*f**2 - 4*f - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -36*j + 47. Let f be p(-8). Suppose -3*t - f + 1820 = 0. Suppose 4*w - 4*u - 660 = u, 4*u - t = -3*w. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57944 less than 59079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47552 by 23776.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1111524 (b) 0.02 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 + 164*k**2 - 51*k**2 - 55*k**2.\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 17 + (36 - 15) - -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 26 (b) 0.04 (c) 1\/222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*k**3*m + 6*i**3*k**2 - i**2*k**3*m + 34*i**2*k**2 - 5*i**2*m wrt i?\nAnswer: 18*k**3*m + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Suppose -2*t = -m - 3 - 14, -t + 2*m + x = 0. Let 17*n**3 + 3*n**5 + t*n**4 + n**3 + 12*n**2 - 2*n**4 + 3*n + 4*n**4 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12046 and 2536.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -71529052 divided by -1033\nAnswer: 69244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (-4 + (11 - 0) - -15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852487105.\nAnswer: 5, 170497421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((2*55\/22)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 6 + -12 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmppmmmm. What is prob of sequence pmpp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:28 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -653, -518, -383?\n\"Answer: 135*n - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116 + 17*z**2 + 3*z + 145 - 152*z**3 - 261 - z to v*z**3 + w*z + d*z**2 + r and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/39 and 7\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + 0.25. Which is the fourth biggest value? (a) m (b) -2\/9 (c) -0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588143142.\nAnswer: 2, 3, 29, 1126711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 + 4*p + 4. Let c(l) be the first derivative of 4*l**3\/3 - 3*l**2\/2 - 3*l + 2. Calculate 4*c(b) + 3*m(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8) + 21 + -18 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/6*(5 - (33 - 2)). Suppose -3*i + b = -2*c, -4*c = 2*i - 21 - 29. Let m be 3\/(1\/(29*1)). Calculate the greatest common factor of m and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcejkaaijkjkji. Give prob of picking 1 a and 1 j.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-245)\/1715)\/((-1)\/1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 11 + (-9 - 22) - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 g when four letters picked without replacement from zgzgkkkkkkkkkk?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 18*m**2 + 75*m - 18. Let y be r(-7). Let k(o) = 5*o**2 + o + 1. Let a be 6\/(-4)*4\/6. Let n be k(a). Sort 1, -2, n, y in increasing order.\nAnswer: y, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (sqrt(42) - sqrt(2058)*4 - sqrt(42)))\/sqrt(6).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/55, -3, -92\/7, -1\/5, 2?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 28564 = 5*a, 4*p - 3*a + 38091 = -2*a. Let n = -2042 - p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Let x be k(1). Let s be 0*(x + (-1)\/(-3)). Solve s - 4 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**3 - 6*m**3 - 2*m + 0*m**2 - m**4 + 11*m**3 + 5*m**2 in the form y*m**3 + g*m + v*m**4 + k + c*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 5. Let t(z) = 3*z + 11. Let y(q) = 5*d(q) + 2*t(q). Let b be y(5). Solve f + 0*f - b = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9370.911l?\nAnswer: 9370911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -63. Suppose 5*i - 33 = -5*g - 13, 2 = -f*i. Suppose 46 = g*v - 59. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3955192.\nAnswer: 2, 19, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1089, -2168, -3245, -4320, -5393, -6464?\nAnswer: -7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2 - 90*s + 456.\nAnswer: -4*s - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -792 divided by -6?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61873, 61866, 61857, 61846, 61833, 61818?\n\"Answer: -q**2 - 4*q + 61878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/13 and -7\/2624185.\nAnswer: 34114405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 29 = 4. Suppose 3*v = -v - 3*r - u, -10 = -5*v + r. Does 2 divide (1\/v)\/((-4)\/288*-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.026289 millennia in months?\nAnswer: 48315.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -65. Suppose 114 = y*s - 2*t, -4*s + 220 = 2*t - 4*t. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 25 + 2. Let v = -6 - w. What is the second biggest value in v, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34770365 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26847448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3\/4*g**2 + 1 - g + 1\/2*g**3 + 1\/4*g**4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 739*w - 581. What are the prime factors of s(26)?\nAnswer: 3, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -18\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(6\/13)*b*b**25*b*b**9*b*b**29 assuming b is positive.\nAnswer: b**(864\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1\/5558?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -0.5. Suppose -3*u = -6*u. Which is the second smallest value? (a) u (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + -0.41. Let u = 29 - 129. Let x be 2\/8 - 15\/u. Which is the third biggest value? (a) x (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: What is the nearest to 1\/2 in 0.1, -0.1, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 10:46 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:52 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let t = -19\/15 + 13\/15. What is the biggest value in -3, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**8\/10080 - c**5\/15 + 12*c**2 + 2*c. Let d(v) be the third derivative of b(v). Let o(t) = 22*t**2 - 5. Calculate d(o(w)).\nAnswer: -968*w**4 + 440*w**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-21)\/(-3)). Let p = o + -5\/7. Let y be 0 - 3*(-6)\/(-9). Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*k + 9 = 0, 2*y + 2*k = k - 1. Let r be ((-74)\/3)\/(-3 + 7\/3). Let w(a) = 17*a + 2 + 18*a - r*a. Determine w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4291 and -22\/93789.\nAnswer: 656523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55842 - 38273. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 + z**2. Let c(r) = 8*r**2 - r + 1. Let p be c(-1). Let m(j) = 34 - 34 + p*j. Determine i(m(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*q**3 + 0*q**4 + 0 + 2*q**4 + 1 - 5 + 7 - 4*q**2 to the form k + x*q**2 + v*q**3 + r*q**4 + y*q and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 5\/(15\/(-6)). Let c(g) = g**3 - g**2 + g - 1. Let q(t) = 2*t**2 + 1 - 16*t**3 + 13 - 2*t - 10 + 11*t**3. Calculate u*q(v) - 2*c(v).\nAnswer: 3*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:03 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4 - 52*h**3 - 200*h**2 - 128*h + 384 = 0.\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k**3 + 130*k**2 + 640*k - 480 = 0.\nAnswer: -4, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*b - 5*b**2 - 41*b)*(-39 + 285 - 26).\nAnswer: -1100*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(3*i + 2*i - 6*i - 2).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d + 5. Let q be 3\/((-6)\/(-50)) - -3*1. Calculate the remainder when z(-6) is divided by 94\/7 + (-12)\/q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b - 2. Is 3\/13 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + y - 93, 4*y - y = -12. Suppose 0 = -4*d + 4, 7*l - c = 2*l - 2*d. Let k = -3 + l. What is the highest common factor of 176 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 528*p - 2617. Let k be g(6). What is the highest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 21343776?\nAnswer: -21344001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 8 - 1)*17\/4. Let h(c) = -68*c - 3. Let q(z) = -23*z - 1. Let t(l) = w*q(l) - 6*h(l). Find the first derivative of t(g) wrt g.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.4, 1, 9, -173\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 600293 + 0?\nAnswer: 600293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -19*u**2 - 128*u - 838. Calculate s(-6).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38457 + -14000. Let z(k) = 6*k - 4*k - 24457 + b. Let s(x) = 7*x - 4. Give z(s(g)).\nAnswer: 14*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 12*f + 3. Let x be z(-12). Suppose -2*r = r - x, 3*k + r - 4 = 0. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + 578\/(-255) + (-2)\/5. Put 1, -1, m, -5, 0 in increasing order.\nAnswer: -5, m, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 4 (b) -4 (c) 76 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5016390 less than 5016390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 3. Let p(y) be the first derivative of y**4\/4 + y**3 + y**2 - 2*y + 1568. Determine p(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851 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: Suppose q**4 + 23658*q**3 + 139972548*q**2 + 559582678*q + 419633787 = 0. Calculate q.\nAnswer: -11827, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 - 4. Let t(n) = -13*n**2 - 11. Calculate -4*t(o) + 11*u(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 817, 1519, 2221, 2923?\n\"Answer: 702*j + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:36 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4*v - 38 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*u*u\/(u*u**(3\/7)*u*u))**(-46) assuming u is positive.\nAnswer: u**(1334\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*u = -122*u - 99 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12875 (base 11) in base 7?\nAnswer: -104336","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(77)\/(sqrt(7) - sqrt(112))*3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*z = 2, 2*h = 4*h + 2*z - 22. Suppose -h*r = -4*r - 20. Calculate the remainder when (-63 - -54)*(-32)\/6 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 1146*k = 0. Calculate k.\nAnswer: -573, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3220 and 266420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31502\/9 - 3500. Which is the closest to 2\/3? (a) 1 (b) 3 (c) p (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {y: 4, t: 2, l: 3, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18 + ((-475)\/(-285))\/(20\/(-228)). Let g(b) = -2*b + 0*b**2 - b**3 + b - 2*b**2. Give g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 = -18. Let v(d) = 9*d + 248. Let y be v(-27). Suppose 61*s - 65*s = 4*i, -y*s - i - 8 = 0. Put s, n, 3, -5 in ascending order.\nAnswer: -5, s, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - h**2 + 2)*(-3*h + 3*h + 2*h) - h**3 - 362*h**2 + 362*h**2 - 6*h in the form c*h**2 + t + v*h + s*h**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -356, -717, -1078?\n\"Answer: -361*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3426 + 6515 + 503 = 0. Do z and -1492 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*v**3 + 41*v + 16*v**2 - 10*v**2 + 4 + 2 in the form x*v**2 + j*v**3 + b + k*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632*b**2 + b**3 + b**3 - 2*b**3 + b**3.\nAnswer: b**3 - 632*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-13 - 1) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -69*q**2 - 547*q + 36. Let c be w(-8). Put c, -1\/3, 2\/9, 0.03, 0 in decreasing order.\nAnswer: 2\/9, 0.03, 0, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 2*o - 7. Let x(v) = v**2 + 3*v + 8. Calculate 6*a(y) + 5*x(y).\nAnswer: -y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 11. Suppose -8*f = -10*f + 270. What is the highest common factor of z and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8*g + 8040. Let i = -420 + g. Suppose -3*q = -279 - i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + -0.19. Suppose -4*h - 19 = 45. Let g = h + 15. What is the third smallest value in g, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*q**4 + 14*q**3 + 2*q**2 + 405*q wrt q?\nAnswer: -756*q**2 + 84*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2 and 39\/470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*d - 4*d + 7015, g + 2*d - 7007 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3172 in -5, 4, 0.006, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724256961 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 9 + 3 + 10 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/3*76\/133 - (-34)\/102. Factor -66\/7*x + z - 3\/7*x**2.\nAnswer: -3*(x - 1)*(x + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 - 5 = 0. Suppose 30 = -j - o, -4*j + 4*o - 41 - 55 = 0. Let t = j + 44. Solve y + 2*y = 2*l - 16, -4*y + t = r*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 6. Let d = 84 + -83. What is the remainder when i is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17010.43 to the nearest 100.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + 12. Suppose 0 = -3*f - 5*f + d. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -398, -1504, -3704, -7364, -12850, -20528, -30764?\n\"Answer: -61*j**3 + 2*j**2 + 43*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -57 + 2. Suppose 5*o = -4*w + 10, -10 = 4*w - 4*o - o. Let h = w + 8. Sort h, 2, y in ascending order.\nAnswer: y, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 752271982.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 136. Let k(d) = -4*d**2 + d + 1. Let c be k(-1). What is the remainder when 5 is divided by o\/6 + (-2)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 133118008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -1*(sqrt(104) + sqrt(104)*2))\/(1*sqrt(200)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 + 2129088*o - 117111940 = 0. Calculate o.\nAnswer: -532327, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26681, -106833, -240419, -427439, -667893, -961781?\n\"Answer: -26717*m**2 - m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 3*h + 100. Calculate i(0).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -2\/5, -5, 0, 7 in descending order.\nAnswer: 7, 0.03, 0, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -706099 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3\/6 + 4*n + 9. Let m(q) be the first derivative of o(q). Let l(g) = 26*g. What is l(m(y))?\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.72 - -10.62. Let d = k - 9. What is the third smallest value in -0.9, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.83 and 11790?\nAnswer: 33365.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 2, n: 6, o: 1, q: 2}. What is prob of sequence ig?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 + 17*d + 22. Calculate the remainder when j(-7) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*g**4 + 6*g**3*r - 4*g**2*r - 282*r wrt g.\nAnswer: 600*g + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 293242940851 from -13.\nAnswer: -293242940864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.3 (c) 91 (d) 3 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 20. Which is bigger: y or -6\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*k + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2865000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76515431 to the power of 1\/2, to the nearest integer?\nAnswer: 8747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -s + 5*o, o + 39 = 4*s - 2*o. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7354, -7935, -8536, -9169, -9846, -10579, -11380?\nAnswer: -12261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144349494 by -3446.\nAnswer: 41889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1297, -2596, -3895?\n\"Answer: -1299*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17185570 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2212, -9060, -20634, -37066, -58488, -85032, -116830?\n\"Answer: -22*w**3 - 2231*w**2 - w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -1\/4, -2\/7, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*x = -443*x - 172*x + 55*x + 100512 for x.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478199*c - 478210*c = 220 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. Suppose 5*a = -2*c + 88, 2*c = 2*a - j*c - 40. What is the greatest common divisor of a and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let r be (-4)\/(-8) + (c - -2). Let s be (-1)\/(-3) + 9 + -10. What is the closest to r in s, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 6.7, 3, 0.6, 115\/3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 plus 5366.63221?\nAnswer: 5362.53221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 19, 46, 93, 166, 271?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -59, -43, -11, 43, 125, 241, 397?\n\"Answer: y**3 - y**2 + 2*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-2)\/(-3) - (-57 - -58).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 - 13 - (13 + 4 - 10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = -2*t, 0 = -4*a + 5*a - 4*t + 6. Find the common denominator of 4 - 1*27\/(-12) and ((-132)\/a)\/1 - -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 70 = -42*t. Suppose 0 = 5*j + 3*l + 10 + t, 2*j + 9 = -l. Sort 3, 1, j in ascending order.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/20 + j**4\/12 - 2*j**3\/3 + j**2\/2 - 51*j. Let m = -4 - -9. Suppose -4*z = -m + 17. What is s(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:48 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + -1.09. Let g = f + 1.08. Let u = g - -0.0200108. What is u rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13\/12222?\nAnswer: 13\/12222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 + 55*f**2 - 157 to the form a*f + t + o*f**2 and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 56?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -531*v**2 - 25 + 22 - 189 + 102*v + 534*v**2 - 141 = 0.\nAnswer: -37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 474326 - 474294 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 237108060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from 188.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -185\/32718 and 43\/3813.\nAnswer: 1014258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1072 + 1?\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59256 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 311*b**4 + 215*b - 348*b**4 + 2 + 657*b**4 to the form v + g*b**4 + c*b**2 + z*b + n*b**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*w - 77*w + 209*w - 4396320 = 0. Is w a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/120 - p**5\/12 - p**4\/24 + p**3 - 2*p**2 + 10*p. Let u(d) = -2*d**2 - d. Let h be u(1). Let v = 8 + h. Calculate a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 76644 = 5*d. Let i be (d\/200)\/((-6)\/(-5)). Let z = 109 - i. What is the common denominator of -35\/6 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2 + -2)\/((-14)\/(-35))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*14\/1617*-3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -187? (a) -2\/5 (b) -0.3 (c) 29 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/97, 8, -1\/13, 2\/21, -3, 9 in descending order.\nAnswer: 9, 8, 24\/97, 2\/21, -1\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -c67 (base 14) in base 15?\nAnswer: -acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 4*j + 9. What is the closest to -0.1 in 1\/2, 4, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {p: 4, m: 16}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42, 6\/11, 9428, 3\/4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913922 is divided by 50773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2005 (base 10) to base 5.\nAnswer: -31010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -278.9 + -0.122\nAnswer: -279.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0 (b) -0.00418 (c) 0.2 (d) -6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 4*j + 3 + j + 0*j. Let n be d(-4). Suppose -11*r = 3*k - 16*r - 11, 2*k + 10 = -r. Which is the second smallest value? (a) k (b) 2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 18. Let k be b(-15). Let w(v) = 1 + 247*v**3 - v**2 + k + 3*v - 248*v**3. Let y be w(0). Solve y*i + 9 = -11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t + 5. Let i be v(6). Sort 1, 2\/27, i, -0.3 in increasing order.\nAnswer: -0.3, 2\/27, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.097 + -0.303. Suppose 0*g = 11*g + 33. Which is the closest to 1\/2? (a) 2\/7 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -23 - (-5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*-2)\/sqrt(3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 6*i. Let h(q) = q**2 + 7*q. Give -6*f(j) - 5*h(j).\nAnswer: 7*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*x - 6*x. What is the remainder when (12 - 13)*((x - 37) + -2) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 63 = 8*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -267725\/9 less than -29747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39372*i - 39377*i - 8*x - 516 = 0, x = 5*i + 2*x + 82 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14799781.\nAnswer: 79, 187339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {y: 1, h: 5, m: 1, s: 4, c: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 6 = -6*j. Let a(m) = -m + 60. Let k be a(9). Solve -5*i + k - j = 4*y, 3*i + 2*y - 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*w + 5, -9 = n + 3*w - 16. Put -6, n, 3, 2 in descending order.\nAnswer: 3, 2, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/3 + 66*c + 324.\nAnswer: -2*(c - 54)*(2*c + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 12. Suppose -p + 14 = 4*j, p + t = -p. Suppose -h + 0*i = -2*i - 75, -5*h + 389 = j*i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 - 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 19262064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 8. Suppose 3*p = -9 + d. Solve j - 6*s + s - p = 0, -s = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40995 - 0.067077068.\nAnswer: 40994.932922932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -23*p - 2*p**3 + 2 - 2 + 27*p - 4*p**2. Let y(z) = -z + 9. Let r be y(8). Let f(u) = -u**2 + u. Give r*i(g) - 2*f(g).\nAnswer: -2*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*p*r**2 + 2*p*r + 5178745*p + 534*r**2 - 446*r - 4 wrt r?\nAnswer: -14*p*r + 2*p + 1068*r - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -2, -1 in decreasing order.\nAnswer: -1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 330241052?\nAnswer: 330241053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x - 3507*x**2 - 20578 + x - 21142 + 52799 wrt x.\nAnswer: -7014*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342.5 - -338. What is the closest to -1\/3 in -1, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12278)\/(-8))\/((-24)\/(-96)). Suppose 15*y = 13946 + u. List the prime factors of y.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/26 + 4*f**3\/39 + f**2\/13 - 4*f\/13 - 21. Factor b(o).\nAnswer: -2*(o - 2)*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*d**3 + 44*d**3 - 11*d**2 - 94*d**3)*(-4 + 4 - 5*d) in the form c*d**3 + v*d**2 + b + k*d**4 + w*d and give c.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 9*c**2 + 5*c - 43. Determine o(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**4 + 2*z**3 + 2*z**2 - 6*z**3 - z**3 in the form j*z**3 + h + q*z + g*z**4 + v*z**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-245)\/15)\/(-7)*(-4)\/42\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 1, -5, 4, 12.\nAnswer: -76, -5, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -486 + 485.71. Let z = k - -0.569. Round z to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 1:25 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450326226?\nAnswer: 2, 23, 31528831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**6*y))\/(y\/y**(4\/5))*(y*y\/y**(1\/2))**18)\/(((y**(-1\/2)*y)\/y)\/(y*y\/(y\/y**(-3\/10))))**28 assuming y is positive.\nAnswer: y**(272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1e4b4a (base 16) to base 7\nAnswer: 22606130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052924385 rounded to 6 dps?\nAnswer: 0.000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*x + 10 = 0, 2*x - 12 = 5*n + 4. Let t(l) = -151*l + 16. Let h be t(n). Does 24 divide h\/2*((-7)\/14 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 9*w + 9. What is b(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 24829\nAnswer: 19\/24829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**4 + 7*h**4 - 3*h**4 + (-4*h - 4*h + 6*h)*(-2*h**3 - 4*h**3 + 4*h**3) + h**4 - 3*h**4 + 4*h**4.\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5556 and 69.\nAnswer: 127788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/10)\/((-4)\/10). Let z be t*-6*(-2)\/8. Find the third derivative of -3*n**4 + 6*n**3 - z*n**3 + n**2 wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 683*w**2 - 84*w - 19. What is the hundreds digit of v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/19 or -86463?\nAnswer: -86463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/3)\/((-2)\/(-3)). Let y = 394 + -247. Let f = y - 147.07. Which is the closest to f? (a) 0.4 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18565*b*m - m - 5408 wrt b.\nAnswer: -18565*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14941\/60 - -1308\/5. Let f = -32\/735 + 1301\/245. Find the common denominator of i and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2068827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 54. Let d be (-10*5\/10)\/q. Solve 5*f = -2*o + d, -3*f + 4 = -4*o - 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.642 and -12954?\nAnswer: 8316.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776.5 rounded to the nearest 10?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1576*c**4 - c**3 + 5*c**2 - 319*c + 4. Let v(x) = 1. Let i(p) = o(p) - 2*v(p). What is the third derivative of i(u) wrt u?\nAnswer: 37824*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 1780*h**2.\nAnswer: -4*h**2*(h - 445)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.082799434 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8963424.69 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-11)\/22).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5\/3, 1628, -89 in increasing order.\nAnswer: -89, -7, -5\/3, 1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 1449161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2))**(-1)\/(p**5*p)**(8\/7) assuming p is positive.\nAnswer: p**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 11 + 7. Calculate the smallest common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17739, 1, -2, 4 in increasing order.\nAnswer: -2, 1, 4, 17739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1270 and 16.\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, s: 3, z: 2, k: 1, t: 2}. What is prob of sequence szst?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 2*t - 2. Let n(d) = -d**2 + 5*d - 2. Let f be n(6). Let u be v(f). Find the common denominator of 26\/7 and u\/20 - 0 - -2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 16 - 7. Let n = 232 + -1851\/8. Find the common denominator of d\/(-132)*106*1 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbj when three letters picked without replacement from jjjbjjjjr.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 62. Let l = -38 - p. Calculate the remainder when 56 is divided by (-40)\/28*2*l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 < 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let h = -1 + t. Suppose 1 + 5 = h*q. What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 930077, 1859703, 2789329, 3718955?\nAnswer: 4648581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -33*c. Let f(x) = -7*x - 3. Let y(p) = 9*p + 4. Let o(r) = 4*f(r) + 3*y(r). What is o(b(v))?\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*h, 0 = 22*b - 4*h + 555 - 633 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368594403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let c(d) be the third derivative of 0*d + 0 + 3*d**2 + 0*d**3 - 1\/12*d**4. Determine z(c(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010820138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 21*k - 1. Let t(r) be the third derivative of -7*r**4\/4 + r**3\/3 - 2*r**2 + 145. Give 7*l(v) + 3*t(v).\nAnswer: 21*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**2 - 2*i)*(-18*i**2 + 6*i - 6*i)*(27 - 20*i - 27)*(-6 + 4 + 3).\nAnswer: -720*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3248 = -o. Suppose 6*d - 472 = o. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7517 or 0.2?\nAnswer: 7517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1008\/10 + (-3)\/(-15). Let d = -407\/4 + b. Let v = -3159\/11 + 287. What is the biggest value in -1\/3, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, h: 3, c: 3, x: 1, k: 2, w: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 13, -118, 18, -10 in ascending order.\nAnswer: -118, -69, -10, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 96. Let t = -36 - q. Solve 4*d + 5*m = 4*m + 11, 0 = 2*d - 3*m + t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*q + 290*q - 179*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2782 + -976478\/351. Is p bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*l**4 - 4*l - 15 - 2*l + 132*l**4 - l**2 + 9*l in the form y*l**3 + m*l**4 + h*l**2 + q + b*l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6188 minus -0.03?\nAnswer: -6187.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 47833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * -0.006.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/72 (c) 0.4 (d) -83\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101021 + 1?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/(-90) + 2\/12. What is the nearest to m in -12, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 10:07 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -78. What is the second derivative of -2*q + 3*q**4 + w - 50 - 5*q**4 wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 - 41. Let v = 240909 - 240949.0067. Let i = v + b. What is i rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201*l**2 + 20 - 13*l + 129*l**2 - 116 + 95*l**2 with respect to l.\nAnswer: 46*l - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54791819*u**2 + 36927920?\nAnswer: 109583638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.091\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/195*(-135)\/(-54).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35714832, 71429647, 107144462, 142859277, 178574092, 214288907?\nAnswer: 250003722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 18*b**2 + 159*b + 2674. What is x(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 6:03 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + 2 + sqrt(7) - sqrt(7))**2 - (-6*sqrt(112) - (sqrt(7) - -4*sqrt(63)))**2)*-6.\nAnswer: 57522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*s + 253, 5*v - s - 2*s - 1265 = 0. Let o = 264 - v. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 35*t**2 + 37*t - 876. What is the remainder when a(34) is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 0, -7 in increasing order.\nAnswer: -7, 0, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + l = 0, 18*q - 16*q + 5*l = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.63238739 to three dps.\nAnswer: 7.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let n(p) = 9*p. Let d(x) = -6*x - 12. Let i(j) = -1. Let w(h) = 3*d(h) - 36*i(h). Let g(l) = 9*n(l) + 4*w(l). Calculate g(s(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 3*p. Let y be a(-6). Round y to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 141*b + 4663. Determine d(-14).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*13\/(78\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 5\/(-5))*9. Let n = -5 - w. Calculate the remainder when 17\/(n*(-1)\/(-12)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3995.1 - 3995. What is the nearest to 6 in g, -2, 5, 3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211.00585 - -211. What is y rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + r + 1. Let w(u) = -2*u**3 - 178*u**2 + 3*u + 3. Give 2*k(z) - w(z).\nAnswer: 2*z**3 + 174*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.09 (b) 0.3 (c) 0 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 - 36 - -12 - 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -121860 and -121862 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-9) + 4\/6. Let o be (5\/(-2))\/((-2)\/4). Let a be 16\/(-28)*14\/(-4). Sort o, m, a in descending order.\nAnswer: o, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -2, 2, -8 in ascending order.\nAnswer: -8, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*u**3 + 78*u**3 + 126*u**3 + (0*u + u - 8*u)*(10*u**2 - 6*u**2 + 9*u**2) as m + k*u**2 + v*u + a*u**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x - 9. Let l(w) = -11*w + 10. Let m(r) = 6*l(r) + 7*o(r). Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -72*b**2 + 510*b - 32. Determine t(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -52.1. Let y = r - 3. Let h = 0.2 + y. What is the nearest to 1 in 2, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -17*z**4\/24 - z**3\/2 + 11*z**2. What are the prime factors of d(-7)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + v + 33 = 0, 4*t - v - 15 = 11. Suppose -t*s + 9 + 26 = 0. Put s, 3, -3 in decreasing order.\nAnswer: s, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148389902?\nAnswer: 2, 439, 169009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -97033000 rounded to the nearest 1000000?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439 + 821. Let z = w + -87. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 7*h - 5. Let f(g) = -g - 31. Let u be f(-24). Calculate y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-576)\/(-96))\/(1*2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rierrhb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/9 + 1)\/((-4)\/25116). Suppose 3*f + 7*w = s, 5*f - 4*w - 551 = 2906. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87260 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55117441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 15*u + 56. Give n(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -28.\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 728 - 670. Suppose -2*s = -10 + 2. Calculate the remainder when j is divided by (7 - -1)*(s - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 9373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -232, 3, 1 in descending order.\nAnswer: 3, 1, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30661153, -122644645, -275950465, -490578613?\n\"Answer: -30661164*a**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18 - 0)\/(133 - 203133\/1530)\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1200 and -41\/936.\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 30536.\nAnswer: 885544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3 - 6)*(-f + 1 - 1).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -131589, -130957, -130325, -129693, -129061?\n\"Answer: 632*q - 132221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59938 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29854110 divided by 76549?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3)\/((-34)\/799 + (-1539)\/282)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -418743 (base 10) to base 15\nAnswer: -84113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 + -8 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2284 + 2283.5. Which is greater: f or 1804?\nAnswer: 1804","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -58. Let l(q) = q**2 - q. Let h(j) = 2*j + 2*j**2 - 5*j**2 + 1 - 3. Determine b*l(t) + h(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 - 74201*x**4 + 3*x**3 - 3493*x**2 - 72.\nAnswer: -360*x**3 - 1780824*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -2*h**6\/15 - 7*h**5\/5 - 5*h**4 - 6*h**3 - 8*h. Let z(r) = 0. Calculate r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30357*c**3*y**2 + 21296*c**2*y**2 wrt c.\nAnswer: -182142*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j - 23*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxxx when four letters picked without replacement from xoxoxxovoxoxooxooo?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/2*11\/((-3465)\/(-84))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 + j**2 - 88*j - 115*j + 9*j**2 - 15*j**2 as c*j + b*j**2 + m and give c.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*m**2\/7 + 31622*m + 5604\/7.\nAnswer: -2*(m - 1401)*(79*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -754457?\nAnswer: 754467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 84036*s + 588261. Give p(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/(8\/(-80)). Suppose 0 = 2*d - f + 19, -p*d + 1 - 41 = -4*f. What are the prime factors of (1 - 16)*36\/d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111531 is divided by 2188?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868 - 2448 = -158*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55\/2 - 89\/3. Suppose -5*m - 148 = k, 6*k - 2*k + 82 = -3*m. Find the common denominator of (-2)\/3 + (-203)\/m and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*l + 2*z, -3*z + 7 - 13 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(3\/14)*u\/(u\/(u\/(u*u**38))) assuming u is positive.\nAnswer: u**(-501\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 + -400. Let r = d - -311. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5853\/2*(-4)\/3. Let h be (-12 + 14)*1*1366. Let s = h + o. Round s to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - i + 0*i)*(-14451 + 16447 - 106347 - 30308 - 56631) to the form l + p*i and give p.\nAnswer: 191290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002240334467 to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 268*z - 8978.\nAnswer: -2*(z - 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8800b60 + 5?\nAnswer: 8800b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 6, q: 1, a: 2, c: 2, n: 1}. What is prob of picking 1 t, 1 d, 1 n, and 1 c?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 309.\nAnswer: 309.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6*2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 + 5. Let v(i) = 12905*i**3 - 10324*i**2 - 51620. What is -10324*f(p) - v(p)?\nAnswer: -2581*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1144 (base 5) to base 2.\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*f - 137, -2*f + 2*w + 4 = -38. Suppose -5*u + 31 = c, 0*u + 3*u = c + f. Let k = -18 + 37. Calculate the remainder when k is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 307098548?\nAnswer: -307098548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 + -9)\/30)\/(12\/8)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*m + 0 = 12, -14 = -3*d + 2*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 13 - 4*g + g + 4. Let w be h(2). Suppose -3*u - 4 = -4*u. Solve u*y - w = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1676 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)*s*s*s\/(s\/s**(1\/3))*s)\/(s**(-1))**(10\/9) assuming s is positive.\nAnswer: s**(422\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 21*u + 26 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*p = 68805, -5*d - 3*p + 114676 = -0*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 313*g + 645 - 1627 - 2148 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 7*t - 698. Let h be u(17). Which is the third biggest value? (a) -2 (b) 2 (c) h (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/3 - 2*p**4\/3 - 6*p**3 - 22*p**2\/3 - 8*p\/3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*d + 103900, -4*b = 257 - 253. What are the prime factors of d?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*d + 2*d + d + (5*d + d - 3*d)*(9 + 12 - 31) in the form o + r*d and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127756 is divided by 2209.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 3*s**2 + 4*s**2 - 29*s = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 244178, -3, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-22) + (-35)\/(-11). Let n be 8\/10*15\/6. Solve 0 = 5*z - o*w - 19, 24 = 2*z + n*z + 2*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 2*q**2 + q + 2. Let a(n) = 40*n**3 - 994*n**2 + 17*n + 9903. Let o(w) = a(w) - 19*f(w). Find the first derivative of o(i) wrt i.\nAnswer: 6*i**2 - 2064*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010100101000 (base 2) in base 16?\nAnswer: -8528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29478049 and 7?\nAnswer: 29478042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (1 + sqrt(242))*-3) + sqrt(242) + sqrt(242) + (4 + sqrt(242)*1)**2.\nAnswer: 154*sqrt(2) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 226*s + 2602. Calculate b(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17 + -1)\/(-4) + 5. Let u(k) = -7*k**2 + 3*k - 8. Let l(j) = -5*j**2 + 2*j - 5. Suppose 0*h - 10 = -2*h. Let t(n) = h*u(n) - 8*l(n). Give t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223898241 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1109 by 7924.\nAnswer: -1109\/7924","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4217*g**3 - 4*g**2 + 6*g. Let b be j(4). Suppose 0 = -4*t + 6*t + 3139856. Let m = b - t. Round m to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 0.24, -3, 7, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195697359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 0 + 9*n + n**3 - 6 = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16306 and 0.03.\nAnswer: -0.0048918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/305 and -62\/15921.\nAnswer: 79605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.96 - -0.04. Let k = -1 - -4. Let m = k + l. What is the nearest to -1 in 0, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -605? (a) 5 (b) 1\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let v(j) = -4*j + 14. Suppose 4*m + 2*d = -28, -2 = 4*m - 2*d + 18. Calculate m*q(b) + v(b).\nAnswer: 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33143 (base 5) to base 4\nAnswer: 203322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**2 - 5*n + 3*n + 3*n + n in the form u*n**2 + m*n + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**6\/6 - 35*x**5\/4 + 715*x**4\/4 - 10285*x**3\/6 + 6655*x**2 - 2*x. Factor j(y).\nAnswer: 5*(y - 11)**3*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0405 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i - 10. What is the units digit of 1 + 2 + (i - -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*y**3 + 1068\/5 + 3216\/5*y**2 - 3208\/5*y + 4\/5*y**4 = 0. Calculate y.\nAnswer: 1, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30130 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: 10d7 (base 15) to base 3\nAnswer: 11220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4471 divided by 6.\nAnswer: 4471\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 7, 1, -7, -17, -29, -43?\n\"Answer: -d**2 - d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(44)\/sqrt(16) + sqrt(44)*-5 + -2 + (1 + -3*sqrt(11)*1)*4)**2.\nAnswer: -86*sqrt(11) + 20335\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + j**2 + 4)*(33*j**2 - j**3 - 33*j**2).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 306890 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 110*m**2. Let y(q) = 14*q - 34. Let g(w) = 5*w - 12. Suppose -5*f = 4*a + 73, 4*f - 80 = 5*a - f. Let v(p) = a*g(p) + 6*y(p). Calculate v(o(k)).\nAnswer: -110*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 + 113. Does 8 divide 0\/1 + p\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213188 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 208668?\nAnswer: 2086680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 2*v**3 - 4*v**3 + (0*v + 3*v - 4*v)*(v**2 - 1 + 1) + 9*v**3 - 10*v + 10*v)*(-5 + v + 5).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354290 is divided by 201?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 16*o + 18*o - 34*o. Let b(k) = -6*k**2 + 17*k**2 - 6*k**2 - 7*k**2 - 9. Determine t(b(m)).\nAnswer: -4*m**4 - 36*m**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326337 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15112646 - 15?\nAnswer: 15112631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**2 + 3 - 3.\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*r - 2*n - 28, -2*r + n + 9 = 0. Suppose -c + r*c + 3*b - 62 = 0, -3*c + b + 196 = 0. Suppose -19 - c = 3*a. What is a rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 3*c**3 - 2*c**3)*(5 - 3 + 4) - 4 + c**3 + 4.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 1\/480*j**6 - j**2 + 0*j**3 + 0 + 0*j**4 + 0*j - 1\/120*j**5. Factor s(d).\nAnswer: d**2*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10792331?\nAnswer: 11, 17, 57713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**7\/168 - i**6\/360 - i**3 + 20*i. Let d(o) be the second derivative of a(o). Calculate d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.3742 kilograms in tonnes?\nAnswer: 0.9413742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 69. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*k - 9. Suppose -k = 2*d + 4. What is the nearest to 1\/3 in d, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 1, t: 3, p: 5, i: 2, k: 1}. What is prob of picking 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408645454 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -390 - -395. Let u(h) = h**3 - 1 - 1 - 2*h**2 - 3*h**2 + 2*h. What is the least common multiple of u(c) and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/11 + 36683618*s\/11 - 12227872\/11.\nAnswer: -2*(s - 6113936)*(3*s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18594984.\nAnswer: 2, 3, 774791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from ssqqsqqsssqs?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f)**10*f*f**(-4)*f*f*f**4*f*(f\/f**(-1\/6)*f)\/(f**(-1\/3)*f)*f**(3\/8)\/((f**(-2\/9)*f)\/f) assuming f is positive.\nAnswer: f**(1399\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*d - 145*d + 73*d to the form c*d + u and give c.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89\/((-6)\/(-27) - 49\/(-63))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2, -1\/5, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -817?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/60 + m**4\/12 - m**3\/6 - 24*m**2. Determine l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1386\/(-441))\/(40\/7) and 173\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3 - 189*l**2 - 198*l**2 + 11*l**4 + 375*l**2 wrt l.\nAnswer: 264*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -237503248 and 17.07.\nAnswer: -237503230.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 18 = -5*x, 327 = -4*w + 4*x + 399. Solve i + w*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82902520 and 31088445.\nAnswer: 248707560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2226*r = -135055 + 10399 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34102 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (4 + -1 + -14)) + -3 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 19 = -z - 2*z, 2*z - 16 = 5*f. Suppose -z*h + 4*l = -11, l - 6*l = 10. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:49 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -330.6 times -151?\nAnswer: 49920.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3234*a**4 - 254 with respect to a.\nAnswer: -12936*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2318, 3282, 4850, 7022, 9798?\nAnswer: 13178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 1\/40*j**5 + 3*j - 5 - 1\/8*j**4 - 1\/4*j**2 + 1\/4*j**3. Let f(l) be the first derivative of t(l). Factor f(a).\nAnswer: (a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 54*l**2 + 166*l + 6842. Let m(r) = 27*r**2 + 74*r + 3420. Let i(q) = 7*m(q) - 3*u(q). What is the derivative of i(v) wrt v?\nAnswer: 54*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565753 is divided by 282873.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (-6 - -12) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 751 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -17. Let w be 52\/12 + 2\/(-6). Suppose h*l = -l - q + 368, -w*l + q + 486 = 0. Does 35 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/97 (b) 0 (c) -3\/13 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7547, 7535, 7527, 7529, 7547, 7587?\n\"Answer: i**3 - 4*i**2 - 7*i + 7557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 4, v: 5}. What is prob of sequence wi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*t = 4, 77*t = 2*i + 76*t + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3)*(7 - (-85)\/(-10)). Let w(i) = -25*i**2 + 11*i + 11. Let h(y) = 5*y**2 - 2*y - 2. What is u*w(f) - 11*h(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 210442344 (base 6) in base 11?\nAnswer: 2090940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -21. Suppose 2*s - q = -182044 + 1680045, -3*s + j*q + 2247005 = 0. Round s to the nearest ten thousand.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 + 7)*5\/(-7). Suppose -4*w - w = -4*d + 1465, w + 365 = d. Let o be d\/(-126)*(-14)\/2. Solve -u*c - o = -9*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*(72\/10)\/6.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/4 - 2397*i\/4 - 600 = 0. What is i?\nAnswer: -1, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12463 - 56347 = -2338*d + 58334 - 12582 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, 4, -2359, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17636.757 months to years.\nAnswer: 1469.72975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 116201265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*j, 0 = -2*v - 136*j + 133*j - 2. Factor 2\/11*w**4 + 0*w**v + 2\/11*w**3 + 0*w + 0.\nAnswer: 2*w**3*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffjffjefjjffjffe. Give prob of picking 2 j and 2 e.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -23*k**2 + 14*k + 23. Let h(n) = 8*n**2 - 5*n - 8. Suppose 2*i + 3*i + d = 3, -2*i = -4*d + 12. Suppose i = 3*t - 19 + 1. Determine t*z(g) + 17*h(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:01 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6790424588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.202.\nAnswer: 0.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 95 = -2*b - 123, 2*b = -4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**16*a*a**(-13)*a assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81348462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -k + 1, 5*z = -3*k + 2 + 1. Suppose 2*p + 3 = -p, z = 2*w - p - 359. Suppose -34 = -0*f - f - 2*j, 0 = 5*f + j - w. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101 (base 3) in base 8?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.25 and -9646.64294?\nAnswer: 9646.39294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 5*p**2 - 5*p**2)*(0*p + 2*p - p) + 2*p**2 - 2*p**2 + p**3 + 2*p**3 + 110*p + 8 - 2*p**2 - 110*p as i*p**3 + y*p + m*p**2 + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (-2 + (sqrt(468) + -3 + 1*sqrt(468) - 4*1*sqrt(468)))*-1) + 2)**2.\nAnswer: 2496*sqrt(13) + 30628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 8 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = 19*m - 142500. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86562 - -154075. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 2, y: 1, q: 1, o: 2, s: 1}. What is prob of sequence sddo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -78693\nAnswer: 1180395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2075208 divided by -345868?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11700*w - 1083 + 11690*w + 1083.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7 - 2 - 4 - b. Let l be j(-13). What is the second derivative of -i**2 - i**3 + i**2 + l*i**2 + i wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z**2. Let v(f) = -3*f**2 - 6*f. Give u(v(x)).\nAnswer: 108*x**4 + 432*x**3 + 432*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6062 - 22?\nAnswer: 6040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3666 + 6117. Is q a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 - 24*n**2 - 30*n**2.\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 4. Let v = u + -10. Which is bigger: v or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009335 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3873, -3926, -4075, -4368, -4853, -5578, -6591?\nAnswer: -7940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 91*n = 250. Solve -3*s + 28 - 21 = t, -n*s = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5485, 5415, 5235, 4891, 4329, 3495?\n\"Answer: -9*o**3 - o**2 - 4*o + 5499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g - 3 - 5*g + 3 - 4*g + 6*g - g + (0 + 1 - 3)*(-g + 0 + 0) - 3*g + 2*g + 0*g - g - 3*g - 2*g)*(3*g - 8 + 8) - 5*g**2 - 2*g**2 + 6*g**2.\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4280001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -444, -474, -504, -534?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159995 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 27*s - 38 - 24 + 137 - 36.\nAnswer: 27*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + 0.6. Let x be (6\/(-14))\/(15\/10). Which is the third smallest value? (a) h (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-16)*1618\/(-10517).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 50 - -35*(-4)\/28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3)*1299\/6. Suppose k = 2*k - j - 106, 0 = -4*k - 5*j + i. Suppose 2*q - q - k = 5*s, -3*q = 4*s - 416. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 47 + 47 - 8*i + 39 + 53.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3519557?\nAnswer: 191, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or 220?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*h - 2 = 0, 3*h = -5*y + 10 - 28. Let u(d) = d**3 - 18*d**2 + 17*d - 307. Let l be u(18). Sort y, l, 7 in descending order.\nAnswer: 7, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 29.8. Let p = 0.1885 - s. Round p to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*4\/3. Suppose f*s - s = 0. Let z(h) = -h**2 + 3. Let k be z(s). Sort 0, -5, k in descending order.\nAnswer: k, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -1.7. Let t = 375 - 377. Which is the smallest value? (a) 1 (b) 0.02 (c) t (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 + 198.41. What is y rounded to 0 decimal places?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 32*r**2 - 2. Let s(k) = -9*k**3 + 225*k**2 + 15. Let h(y) = -15*g(y) - 2*s(y). Solve h(x) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4235.7 and 11637.14.\nAnswer: 7401.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(8\/11)*l*l)\/l)**(11\/5)*(l*l*l**(-10)\/l*l)**(4\/3) assuming l is positive.\nAnswer: l**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from kekekne.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in -2, 0.09, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) - (sqrt(88) + (3*sqrt(88) + sqrt(88) - sqrt(88)))) - sqrt(88))\/(sqrt(648)*-3 - sqrt(648)).\nAnswer: -7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*m**3 - 4133618*h*m + 354017*h + 22 wrt m.\nAnswer: 3*h*m**2 - 4133618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 73335 = -0*y + 11498. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-150)\/(-20))\/(3\/(-36)). Let h = -86 - c. Let z(k) = 2*k**2 - 3*k + 4. Give z(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2616 + -2618. Let d = -208 - -221.7. Which is greater: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 3*n**3 + 3*n**3 + (1 - 1 + 2*n)*(-n**2 + 0*n**2 + 0*n**2) + 2*n**3 - 14*n**3 - 3*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65959 = -2607*g + 3536*g for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let f = 35.8 - 1. Let g = 35 - f. Put r, g, -2 in descending order.\nAnswer: r, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 26*f = 12. Suppose -7*x + 1 = -f*x. Is 3\/4 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 575018 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1475634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 49*o + 37. Let p be l(-26). Suppose -3*t = p - 517. What are the prime factors of t?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215829 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-91)\/(-637))\/(1\/91). Calculate the highest common factor of 299 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-195)\/(-26)*138080\/(-3). Round x to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -127*r**3 - r**2 + 3*r - 1. Determine l(1).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -15, -4*j + 1233 + 682 = 5*i. Let x = 1364 - j. Round x to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:05 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -174979579 rounded to the nearest 100000?\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/8)\/(6*(-1)\/(-22132)). Let x = 2842 - g. Let p = -76 + x. What is the nearest to -3 in 8, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98030*l**6 + 18347*l**2 wrt l?\nAnswer: 11763600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 550, 579, 628, 703, 810?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 464105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*k**2 + 125*k - 125*k + 253*k**2 + 239*k**2 + 92 - 92.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*v\/v**(-3\/8)*v)\/v)\/v)\/v**(1\/2))\/(v\/(v**(1\/8)*v)*v**0))**35 assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:57 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u + 797. Give h(-28).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 3, o: 6, w: 2, f: 3}. Give prob of sequence ee.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4704972758.\nAnswer: 2, 67, 443, 79259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.179*0.01\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + u**2 - 4*u**2 - 25 + u**2 to y + b*u + v*u**2 and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 27.9. Let l be 4 - (1 - 2)\/(-1). Which is the nearest to 0? (a) -4 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 11. Let w(n) = b*n + 2 - 3 - 2. Give w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5996)\/461 + 1014\/78. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6439*c**5 - 4*c**3*d - 2*c**2*d**3 - c*d**2 - 9*c*d + 4*c + 94*d**3 wrt c.\nAnswer: -128780*c**3 - 24*c*d - 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 607*v.\nAnswer: -v*(v + 607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 352235.\nAnswer: -35223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*a = -0*p - 28, 46 = 3*p - 2*a. Suppose -2*o + 3*o = -3*l + p, -4*o - 2*l = -58. Let j(z) = z**2 - 15*z - 9. Determine j(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 132 = -4*s + 14*k + 34, -2*s = 5*k - 185 for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -250, 3, 4 in descending order.\nAnswer: 4, 3, -2, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 59*i + 215*i + 35*i.\nAnswer: 300*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -155*(1 + 1). Let u be 1\/6 + a\/(-60). Let l be (-1)\/u - 2704\/20. Round l to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7840, -7870, -7920, -7990, -8080?\nAnswer: -8190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.94 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -640, -1354, -2354, -3640, -5212?\nAnswer: -7070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -3*x. Suppose -x*a = a - 4. Find the third derivative of 1 - a - 2*w**3 - w**2 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14 (b) 37268 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 447028 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7280853, -14561723, -21842595, -29123469, -36404345?\n\"Answer: -l**2 - 7280867*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3 - (-4 + 8 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 + 142 = 2*y. Suppose 5*p = -3*k - 2*k + y, 0 = -4*k - 3*p + 172. What is the highest common divisor of 50 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3589 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 813*d**2 + 18*d + 6. Let h(c) = 477231*c**2 + 10569*c + 3523. Give 6*h(a) - 3523*q(a).\nAnswer: -813*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 24*a**3 - 45*a**3 + 11*a - 3*a**3.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = -7*h. Let i = 1 + -1. Let k(l) = i*l**2 + 5 - l**2 + 6*l + 2*l**2. What is k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11346326 - 6?\nAnswer: 11346320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23103 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.062 + 0.062. What is the nearest to u in -0.5, 7, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -5 (c) -32 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.4 + -0.6. Let m = -20.3 - q. Let c = m - -1.300007. Round c to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -16. Find the common denominator of 79\/(-4) - b\/(-16) and (27 - 43) + 25\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = 5*p + 24, 3*p + 2*z = -15. Let a = p + 1. Let o be -800*(a - (-3042)\/(-4)). What is o rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 2308800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -15. Suppose -i + t = 3*i. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 160 + 70. Let n = s + -40. Suppose -n*j - 36 = -144. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4577 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**2*o - 31*k*o + 2*k wrt k?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 + 8*m**3\/3 - 17*m**2\/2 - 7*m + 3138. Determine b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21213 = 3*p + 2*h, 2*p - 14122 = h + h. Is 204 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3966 - -7?\nAnswer: 3973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -65.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*i + 2. Suppose -i = -3*h + h. Suppose h*d - 19 = 4*u + 1, -5*d - 3*u + 20 = 0. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29581 + -29580.999984179. What is b rounded to 7 dps?\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2800, 4, 1, -5 in descending order.\nAnswer: 4, 1, -5, -2800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8 + -55041628734.\nAnswer: -55041628726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24173827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 175584*y + 175583.\nAnswer: (y + 1)*(y + 175583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 448 - -364. What are the prime factors of p?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - -13)\/((-1)\/(-1527)). Is 4\/1 + u + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*q**2 - 25731947*q - 105*q**2 + 25731947*q.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, -11, -82, -161?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 100. Let w(z) = -z. Let c(r) = -3*r - 4. Calculate u*c(k) + 5*w(k).\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 - 2*c - 1. Let q be x(-8). Suppose 5*m - q = 5. Find the third derivative of -7*t**m + 0*t**2 - 3*t**2 + t**2 + 3*t**4 wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 964355 and 3136735.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r**2 - 405*r - 63. Let v be n(-23). Solve 262*b + 15 = v*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409 + -409.1. Let d = 8 + -4. What is the nearest to -0.1 in k, d, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/10 - 6\/(-10). Let i be 4*(-5)\/(-40)*n. Is (-116)\/(-4)*i*46\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) + 21\/5. Suppose -n = -2*p - 0. Let 4*c**5 - 3*c**5 + c**5 - 4*c**3 + p*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787241977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1014 (base 5) to base 12\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -5\/3*c**4 + 0*c**2 + 0*c**5 + 0*c**6 - 29\/42*c**7 + 3*c + 0*c**3 + 0. What is the third derivative of d(r) wrt r?\nAnswer: -1740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 - 1064*l**3 + l**5 + 1037*l**3 - 3*l**5 + l**4 - l**4 + (-2 + 2*l + 2)*(5*l**4 - 3*l**4 - 4*l**4).\nAnswer: -9*l**5 - 27*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*z - 14, z + 83 = 10*w - 14*w. Let v be ((-11)\/(-2) + -5)\/(w\/(-24)). Suppose 3\/5*o**2 + 0 + v*o = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6*(-8)\/(-48))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21501*275\nAnswer: -59.12775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -555?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3 - 2 + 0)*(-16*k + 13*k - 10*k).\nAnswer: 26*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -32 - -4) + -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 917.257ml?\nAnswer: 0.917257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/26)*w**(2\/49)*w**(-36)*w\/(w*w\/(w**(-19)*w)*w))**25 assuming w is positive.\nAnswer: w**(-1781075\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/18)\/(2\/9). Let r be x + -2*(-3)\/6. Let h be (5\/r - -2)*0. Which is the nearest to h? (a) 0.3 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1832375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.658941 and -31?\nAnswer: -268.427171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13776340141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11914450.\nAnswer: 2, 5, 17, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 30 = 2*p + 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 + 7*d - 10. Let o be m(2). Suppose 2*v + 3*l - 24 = -9, -2*v - l + 9 = o. Which is the nearest to -0.1? (a) v (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*d + 52. What is the remainder when -45*-1*4\/5 is divided by d*1*(-45)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6689150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9971 = -2*l - 2297, -20 = -4*m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12*l - 10 - 10*l + 25*l - 6.\nAnswer: 3*l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p - 4, -4*f - p + 5102 = 0. Calculate the greatest common factor of f and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, 11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30139911?\nAnswer: 3, 463, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3 + 54291*x**2 - 978159*x + 923865 = 0.\nAnswer: -18115, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14312843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 5. Give c(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -53. Let c(f) be the first derivative of -12667*f**2\/2 - 3*f - 1. Let w be c(x). Round w to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 512625.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, s: 1, c: 8, j: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91283, 91338, 91425, 91544, 91695?\nAnswer: 91878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 + 2*r - 901. Determine g(0).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218 - -335. Let q = 34 + o. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5213 is divided by 781?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6744080.\nAnswer: 2, 5, 7, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 14 (b) -4 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 6*c**5 - 19*c**4 - 78*c**3 + 175*c**2 + 228*c = 0.\nAnswer: -3, -1, 0, 19\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -311?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a**4\/a)\/a)\/a)*a*a*a**(4\/7))**(-2\/35)*((((a\/a**(1\/5))\/a)\/a)\/a*a**2)**(-3) assuming a is positive.\nAnswer: a**(111\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9495, 37968, 85423, 151860, 237279, 341680, 465063?\nAnswer: 607428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 400.821 + -401. Let v = 9.962 + -7.962. Is v at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*a - 34 = -2, d + 5*a - 22 = 0. Let b be (-2)\/3 + (-2)\/d. Let y(m) = -m + 3. What is the units digit of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18541 divided by 6?\nAnswer: 18541\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.04 - 6. Let f = 0.36 + s. Let g = 4.02 - 3.86. Sort -1, f, g in descending order.\nAnswer: f, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p**2 + 48*p**2 - 1441*p + 16 + 721*p + 722*p to the form d + h*p + x*p**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899157993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*-5*1*sqrt(700) - (-4 + sqrt(700) + -1 + ((sqrt(700) - (sqrt(700) + 1)) + 4 - sqrt(700))))**2 + -1.\nAnswer: 200*sqrt(7) + 17502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**2 - l - 2. Calculate i(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.25 + 15.65. Let h = 5 + -1. What is the third biggest value in h, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-4) + 135\/12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22.8? (a) -0.3 (b) 3\/32 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 12*f - 1. Let w be q(11). Let l(g) = 2*g - 10. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*k + 33. Suppose 18*i = 23*i - 215. Let z = -30 + i. What is the greatest common divisor of z and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727 at most 55918\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -228*a**2 - 534*a - 5. Let p(r) = -124*r**2 - 267*r - 3. What is 11*p(i) - 6*s(i)?\nAnswer: 4*i**2 + 267*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(7)*-2)\/(sqrt(12)\/(sqrt(6)*-3)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9368254.\nAnswer: 2, 7, 19, 41, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*v**3 + 384*v**3 + 385*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 - 3*r**2 + r**4 + 89 + 4*r**2 - r as p*r**2 + j*r**3 + z + m*r + t*r**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3153*u + 46 = -0*t + 3150*u, 5*t + 31*u + 506 = 4*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -60, -65, -70?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 - 16*o + 22. Determine b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -23. Suppose 0 = c*l + 3*y - 321, 5*y - 63 = -l + 10. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -12.8867.\nAnswer: 399.4877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/11, -5, 2, 41 in decreasing order.\nAnswer: 41, 2, 2\/11, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8265 and 191534763.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*y + 3*y**2 + 216*y + 73 + 74 = 0.\nAnswer: 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7958 = 4*d, -3*k + 19955 = 2*k + 2*d. Suppose -k = -s + 4*a, s + 4*s = -a + 19861. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 + 106*t - 18. Calculate l(16).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 2. Let l be d(-7). Let y = l - -14. What is the derivative of 24*v**y - 2 - 5 - 27*v**2 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4874 (b) -0.2 (c) -1 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 928554293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 515 - 515.1141. Let g = a - -0.11411023. Round g to seven dps.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90505 and 67.\nAnswer: -6063835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.2, -5.5, 0, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 849*y + 1. Let b be m(-2). Let o be ((-15)\/(-5) + b)\/(-1). Suppose 10*v = o - 624. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l - 14*l**2 - 2*l - 6*l**2 - 2*l.\nAnswer: -5*l*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311aba (base 16) to base 7\nAnswer: -36232143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 11*f**3 - 5*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 6*i + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65588 and 434188.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 334196 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 0*g = -273. Solve -7*d + g + 8 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20778569*m**4 - 23137895?\nAnswer: -83114276*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 4 (c) -2 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 1\/5, 0.04, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1901 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -2. Suppose 5*s = f + 23, 0*f - 2*f + 4*s - 16 = 0. Is (2\/y)\/(f\/(-159)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 49, 110, 197, 310, 449?\n\"Answer: 13*o**2 - 4*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 352640 divided by 29?\nAnswer: 12160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 58. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8\/7 - (1\/(-11) + (908960\/9240)\/76)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e0 + -3?\nAnswer: -2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 3 - 4\/9*m + 1\/18*m**4 + 5\/9*m**2 - 8\/27*m**3. Suppose h(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12223, -12031, -11839, -11647, -11455, -11263?\nAnswer: -11071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*1\/(-2)*2\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 485 and 13483.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, y: 3, b: 1, p: 2, a: 1, q: 1}. Give prob of picking 1 p and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -12, -0.3, -1\/2, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5\/7 - 3712*v**4\/7 - 3672*v**3\/7 + 33328*v**2\/7 - 40772*v\/7 + 14832\/7 = 0.\nAnswer: -927, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306034 - 10?\nAnswer: 306024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680\/2550*(-54)\/48?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -412ea (base 15) to base 8\nAnswer: -623321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2060.32?\nAnswer: 412.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -24. Calculate the remainder when -33*1\/(-3)*(1 - -2) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -1. Let y be p\/2*5\/6. Let g be 10\/6 - (-11 + 920\/120). Put y, -0.2, g in descending order.\nAnswer: g, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 12*o - 3. Let c be p(-11). Suppose 1032 + 2088 = c*q. Let x = 574 - q. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9451 rounded to 2 decimal places?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72030 and 490?\nAnswer: 72030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9)*(-9)\/(-6) - 52\/(-48)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21418330 to the nearest integer?\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 316ce7 (base 16) in base 12?\nAnswer: 1102607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bobofohof. Give prob of picking 1 h and 2 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -555*c**3*m*v + c**3 + c**2*v + 242*c*m*v + 3*c*v + 339*v - 3 with respect to m.\nAnswer: -555*c**3*v + 242*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 202296*v - 202295 = 0 for v.\nAnswer: 1, 202295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(539) + 3)**2.\nAnswer: 210*sqrt(11) + 13484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 2, t: 1}. Give prob of picking 1 k and 2 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*s - 518 = -521, 0 = -4*s - 20. Solve -168 = l*r + 24*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 88 = -0*i - 4*b, b = 3. Suppose y = -l - 20, -2*l + y = 2*y + i. What is the remainder when 38\/9 + 4\/l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 2*f - 7. Let n be 3\/6 - (-1)\/(-2). Let j be c(n). Sort j, 0, -5.\nAnswer: j, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1778031 divided by 65853.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-11\/7)))\/((x*(x\/(x*x*x**(-7\/6)*x))\/x)\/x*x*x))**(-2\/43))**(-4\/9) assuming x is positive.\nAnswer: x**(-292\/8127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ogooooooonoooo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, t: 2}. What is prob of picking 1 t and 3 l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3 + 3 + 10). Let n = 5 - b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 264, 309, 370, 453, 564?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 - 274. List the prime factors of (-3)\/y + (-59283)\/(-81).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z - q - 1, -4*z - 5*q + 14 = 0. Let j(k) = -k**2 + 4*k + 2. Calculate the remainder when j(4) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 + 5*a + 2. Suppose -2*d = -5*c + 5, d + 0*d - 2 = c. Let v be k(d). Solve -2*l + v = 5*b, 20 - 2 = 3*l + 3*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -0.2 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/5 + 2*p\/5 - 84 = 0.\nAnswer: -15, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/42 - 1390\/(-14)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208 (base 13) in base 2?\nAnswer: 10001110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5631*b = 5629*b + 4*u - 10, 3*u + 3 = 5*b. Let l(i) be the second derivative of 0 + 5*i**b + 0*i**2 - 28*i + 5\/12*i**4. Factor l(x).\nAnswer: 5*x*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*q + 746*q + 1856 = 318*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077 = -49*c + 6604 + 38428. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392841, 392867, 392931, 393051, 393245, 393531?\nAnswer: 393927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5312637 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - (-4*sqrt(3402) - sqrt(3402) - sqrt(3402) - sqrt(3402)))*-4)\/((-1*sqrt(72))\/sqrt(12) + sqrt(6) + sqrt(384) + 1*sqrt(384)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-8))*l**0)\/((l\/l**(-4\/3))\/((l**(-1\/2)*l)\/l))*l**(1\/15)\/l**3*(l**(-2\/3))**29 assuming l is positive.\nAnswer: l**(-331\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-12))\/((-1)\/18). Let l(k) = -3*k - 1. Let w be l(4). Let y = g - w. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - o**2 - o + 2. Let d(r) = 1042*r**3 + 269*r**2 - 12*r + 24. Let a(m) = d(m) - 12*k(m). What is the third derivative of a(f) wrt f?\nAnswer: 6108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -39, -28, 2.\nAnswer: -39, -28, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 72.89 and -21?\nAnswer: 93.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7540 - -8809. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1088 and 704.\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - m**2 - m + 1. Let r be b(-1). Find the second derivative of -346*a**4 + 1 - 1 + 16*a + 331*a**r wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8198164 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/15 + (-4)\/(-30). Differentiate n + 5*l - 15*l + 8*l**2 + 10*l with respect to l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/((-16)\/30))\/((-78)\/104))\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.47 + -1.73. Let f = q - -8. Which is the second biggest value? (a) -2\/7 (b) f (c) -3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13206938 divided by -1\nAnswer: -13206938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - 3*2*sqrt(156)))\/(sqrt(972) + sqrt(972)*-3))**2.\nAnswer: 52\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/342 in -0.4, 17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28765 (base 11) in base 2?\nAnswer: 1001111110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 27. Let q be g(8). Suppose -3*o - 9 = 0, -3*c + q*o - 7 = -22. Solve c*k + 0 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q - 2. Determine b(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 36. What is the smallest common multiple of h and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015592205 to 7 decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2002 = 4*v, 0 = v + 3*v - p - 1993. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - o - 0*o, -5*o = -3*s - 24. Which is the closest to -1\/2? (a) s (b) -5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:07 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 84976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-861)\/(-205)*(36\/24)\/((-9)\/15)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggggvvgpgg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.5, 2\/145, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101.000058 + 101. Round m to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooobooooooooooob. Give prob of picking 1 b and 1 o.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 190601.\nAnswer: 190600.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + (2 - (1 + -1)). Let h be 9\/i + 1\/4. Let m = 3 + h. Is 0 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:28 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*f**2 + 1643652*f - 1643652*f - 26*f**3 - 134*f**2.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 - 798*s + 5635 = 0 for s.\nAnswer: -805, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 60. Suppose -15 = -5*c - 5*g, -3*c = 6*g - 11*g - u. Solve -c*w + 5 = -2*v - 2*w, -5*v = -2*w - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 4:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.969852 - 0.97. What is z rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91b (base 16) to base 5\nAnswer: 33311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 11. Let c be z(8). Let f(v) = v**2 + 2 + 16*v**3 + 2*v**2 - 37*v**3 - 2*v + 19*v**c. Calculate f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*d = 3*u - 618, -58*u + 60*u = 4*d + 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 9*x - 6. Let r be c(10). Suppose 2*l - 22 = r. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*b**2*k**3 - b**2*k**2 + 1950*b**2 + 11*b*k**3 + 2*b*k wrt k.\nAnswer: 570*b**2 + 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (90\/12)\/(-5)*(-2)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by 124\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -143772 < -143773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let g(l) = -l - 3. What is -g(u) - 4*q(u)?\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) -0.0269 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35286347190 and -2?\nAnswer: 35286347192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8 = -4*k, -j - k + 4 = 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8602249*-5.\nAnswer: -4.3011245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*j = -131, 2*j = 2*c + 4*j - 68. Suppose 0 = 3*u - 3*l + 4*l - 18, -c = -5*u - 2*l. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6107608 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18\/13 - 532\/403. Do 0 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1023)\/(-6)*((-1820)\/(-286))\/35.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 - 4*a**5 + 5159*a**4 + 2*a**2 + 24227 wrt a.\nAnswer: 120*a**3 - 240*a**2 + 123816*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/5, 4, 74\/11 in decreasing order.\nAnswer: 74\/11, 4, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xsgssgssggssssssxxw.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1907 - 1902. Solve 6 = -4*u + 3*c, -20*u + d*c = -16*u + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 439. Let l = t + -31. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 87114300 and -7.\nAnswer: 87114293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:36 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.1, 3399878, 0.11?\nAnswer: 3399878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132134?\nAnswer: 2, 66067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 151?\nAnswer: -150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8679206 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -158728 + 158729 - 3*a + 6*a**3 - a**4 + 5*a**3 in the form k + b*a**2 + m*a**3 + z*a**4 + r*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 4.56?\nAnswer: 4.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 6:32 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -0.27. Let t be -22*(-3)\/(-12)*2. Let b = -41\/4 - t. What is the third smallest value in 5, 0.5, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*(-4)\/(-10). Suppose 2*i - 10 = c, -4*i + 5*i - 23 = -4*c. Let o = i - 36\/5. Put o, h, -2 in descending order.\nAnswer: h, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -76. Let q = -22 - o. Let s = 28 - q. What is the greatest common factor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**5 + 440*s**4 + 9665*s**3 - 1330*s**2 - 29920*s - 19360 = 0.\nAnswer: -44, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11684, 11686, 11688?\n\"Answer: 2*n + 11682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**6 - 10*n**6 + 4*n**2 + 17*n**6 wrt n?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3950 by 158.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from ddmddmddmmdmmmmddddm?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -8. Is 4 a factor of 13 + -3 + f + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w - 4*f = -15, 0 = -5*f + 15. Let b = -1.015 - -0.015. Let g = 0.07 - -0.23. What is the closest to -2 in w, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6028.\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/33)\/(2\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 816, 826, 842, 864, 892, 926, 966?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.10047091 greater than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 403 or 12?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 17*u + 1844057*u**2 - 172381*u**2 - 13*u.\nAnswer: 1671676*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 115*q - 422. Calculate the remainder when 202 is divided by u(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**30\/(k*(k\/((k\/((k\/(k*k**6\/k)*k)\/k))\/k*k))\/k*k\/(k*k*k**6*k)) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1356.5 + -1356. Sort -0.6, 0, -0.1, -1, m.\nAnswer: -1, -0.6, -0.1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 7*s + 5. Let r be l(2). Solve 30 = r*z - 5*g, -2*g + 3*g = 3*z - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12436 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*n = -23, -d + 3*n + 2 = -12. Let j(a) be the third derivative of 0 + a**2 - 1\/12*a**4 + 1\/60*a**6 + 0*a - 1\/6*a**3 - 1\/60*a**5. What is j(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -7*h**4\/4 - 2822*h**3\/9 - 178*h**2 + 536*h\/3 - 2227. Find n, given that j(n) = 0.\nAnswer: -134, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**2*o**2 - 3*h**2*o + 3*h**2 + 14793224*o**4 - 1704*o + 25 wrt o?\nAnswer: 14*h**2 + 177518688*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) -100 (c) 245 (d) -2 (e) 0.03 (f) -0.3 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 11*u = 15*u - 175, 2*u = -w - 21. Is ((-17)\/2)\/(w\/620) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 41*u**2 + 37*u + 78. Determine p(42).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + s - 1)*(-10 - 10 + 4) + s - 3*s - 2*s + (4*s + 1 - 1)*(0 + 2 + 0) + (3 - 2 + 1)*(0*s + 0*s - 2*s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-16))\/(3\/16))\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 17 + -7 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:47 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:30 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 5. Let b(a) = -7 - 9*a + 23 + 4*a. Let y(t) = -4*b(t) + 11*k(t). Determine y(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(200)*-2 - (sqrt(100)\/sqrt(250))\/sqrt(5))*6)**2.\nAnswer: -14544*sqrt(2)\/5 + 738072\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2945472 by -5568.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*d + 36. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l = -61. Suppose -2*t - 2*v + 3 = -9, 5*t + 3*v - 22 = 0. Calculate the remainder when 1 - ((t - 4) + l) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244215\/41796 + 276\/(-48)\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -4\/65*p**5 + 0*p**2 - 4\/39*p**3 + 1\/13*p**6 - 74 + 0*p - 7\/26*p**4. Find y, given that o(y) = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (65\/(-1911)*-7)\/((1\/(-7))\/(126\/245))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595331360.\nAnswer: 2, 5, 13, 79, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3356 (b) -833 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8*y - 12. Solve f - y*f = -5*z - 2, -6 = -3*f - 2*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + (3 + 0 - 1)*(-2 + 1 + 2))*(-2*v - 13 + 13) + 24*v - 4*v - 6*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-3 - -10) + 1195 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) 0.3 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -46*g + 1. Let y = 29519 - 29524. Let n(m) = -45*m + 1. Determine y*s(r) + 6*n(r).\nAnswer: -40*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.37753l in millilitres?\nAnswer: 38377.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/5*b**5 + 0*b + 0 - 9*b**2 - 4\/3*b**3 + 1\/24*b**4. Let p be l(-4). Calculate the greatest common factor of p and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3361*o**2 + 4*o - 5. Let y be v(-5). What is y rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 221409900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 + 3293*o\/3 + 42640\/3 = 0. Calculate o.\nAnswer: -3280, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 320?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13 - 5*u - 3*u**2 - 62 + 12*u**2. List the prime factors of s(11).\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4146170, -1, 4 in ascending order.\nAnswer: -1, 4, 4146170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8520*j - 6*j**2 - 17057*j + 8523*j.\nAnswer: -6*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -36*h - 460. Give n(-19).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*y - 17, -7*y - 140 + 69 = -2*a. Put -36, a, -2, 0 in ascending order.\nAnswer: -36, -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4146549, 4146552, 4146555, 4146558, 4146561, 4146564?\n\"Answer: 3*v + 4146546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 131.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(228) + 4*sqrt(228)*-2 + sqrt(228) + sqrt(228) + -6*-1*sqrt(228))\/(sqrt(132)\/((sqrt(66)*3)\/sqrt(6))*-4).\nAnswer: -3*sqrt(19)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 8220782\nAnswer: 8220782.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(588\/(-105)) - 3\/((-48)\/74).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-25)\/6*-4 - 16\/24 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*r - 196*r + 1576*r.\nAnswer: 1677*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 14) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1036349 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20031, 20030, 20029?\n\"Answer: -x + 20032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1085*-0.3\nAnswer: -325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6113 by 3259.\nAnswer: 6113\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -543760?\nAnswer: -543760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 105564*o**2 - 2782558404*o - 178516390144.\nAnswer: -(o - 52814)**2*(o + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-25) - (5 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1173 and 11909?\nAnswer: 13969257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 3, o: 3, f: 2, p: 1, s: 7}. Give prob of sequence sss.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43008 and 27670272.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = 24. Let f(c) be the third derivative of c**6\/120 + c**5\/10 - c**4\/24 - c**3\/3 - 5*c**2. What is f(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/9394 + 439147\/70455. Let u = 56904892 - 16900730815\/297. Let h = -816\/11 + u. Calculate the common denominator of h and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -412?\nAnswer: 1\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6919, 13836, 20749, 27658, 34563, 41464, 48361?\n\"Answer: -2*a**2 + 6923*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**3 + 18040*b**2 - 6478015*b - 6496050 = 0?\nAnswer: -3937, -1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -66?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -282, -290, -298, -306, -314, -322?\n\"Answer: -8*d - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/20728 and 89\/20728.\nAnswer: 20728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*2*sqrt(119)*-6)\/(2*sqrt(112) + sqrt(112) + sqrt(112) - sqrt(7)*-1*-5).\nAnswer: -144*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/11, 6353, 0, 19.47?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 7*r + 1897 = 1937, -2*r + 9 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 412\/(-10815)*((-15)\/6 + 2 + -3). Which is the second smallest value? (a) i (b) 2 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let s(a) = -2*a**2 + 9*a - 5. Let i be s(4). Let g(w) = -4*w + 3. Calculate i*g(m) - 3*b(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -26*j - 21. What is the remainder when 968 is divided by y(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 50*w**4 + 2*w - 5*w - 2 + 941*w**2 - 944*w**2 as g*w**3 + i*w**2 + s*w + d + n*w**4 and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17847 and 53811.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 10*i + 10*i - 221182 + 221182.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 - 8808*y - 8812 = 0. Calculate y.\nAnswer: -1, 2203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 311\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 40. Suppose 3*r - 83 - 100 = 0. Let o = r - w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 0*p + 3*p + (p + p - p)*(4 - 4 - 1) + 2*p - p - 3*p + 0 + p + 0 + (1 - 3 + 3)*(29*p + 30*p + 56*p).\nAnswer: 114*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-3) - 2*-1. Suppose 6 = c - s - 3, 10 = -2*s. Put c, 1, q in ascending order.\nAnswer: 1, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:34 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 - 15*o + 22. Let u be b(-15). Let h = u + -2340. What is the tens digit of (-2)\/(-8) - h\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1429, -2898, -4401, -5944, -7533, -9174?\n\"Answer: -u**3 - 11*u**2 - 1429*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p - 15. Let o(j) = -j**3 + 7*j**2 - j - 8. Calculate the smallest common multiple of g(-5) and o(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 * -8.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1) + -2 + 1. Let c be (k + 4)*77598 + 2. Round c to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 6145*j - 197659. What is n(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 3:12 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:32 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313.3 + 313. Let j = 0.2 - 0.18. Let k = j - 0.02. What is the closest to 0.1 in p, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-477)\/(-12)*(-64)\/(-24) is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -450.1 - -450. Which is the closest to 0? (a) x (b) -2 (c) 1\/2 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 5*u + 516, 5*u - 129 = -46*r + 43*r. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6, 2*m + 2*d + 0*d = 0. Suppose m = w - 13. Suppose 4*z = s + 190, -3*s = -3*z + s + 136. What is the greatest common divisor of z and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3293*a**3*j**4 + 7*a**3*j**2 + 100*a**2*j**2 - 27*j**5 - 20*j**2 wrt j.\nAnswer: -79032*a**3*j - 1620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106303, -106316, -106351, -106420, -106535, -106708, -106951?\nAnswer: -107276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -10 + 12 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 4 - (-2 + 1). Solve 4*j - 4*d + 14 = -c, -5*j = -4*d + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c + 4*v + 6, -c - v = 0. Let o = 15.1 - 16. Let y = 2.1 - o. What is the smallest value in -5, c, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 505 - 250. Let t be 4 - (-1 + n\/50). Let x = -30 + 268\/9. What is the third smallest value in x, 4, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114950 less than 1585707?\nAnswer: 1470757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*n - 11 = n, -q - 3*n = 1. Let p be 0\/((-3)\/((-6)\/4)). Which is the second smallest value? (a) q (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 47*y - 18. Let s be b(5). Let f = -211 + s. What is the remainder when 33 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from ejeacjaca?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2 + 87*x + 970 = 0.\nAnswer: -10, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 17, 0.44?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -17. Let o = 14498 + -14496. Solve -o*s - 2*s = -p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -19*j**2. Let m(p) = 86*p. Give m(s(r)).\nAnswer: -1634*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81833, -81833, -81823, -81797, -81749, -81673, -81563?\nAnswer: -81413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = -3*g + 55, -47 = -4*h + 5*g. Let l(a) = -3*a + h*a - 6*a - 6*a. Let x(u) be the third derivative of 3*u**4\/4 - u**2. What is l(x(s))?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -687814.3 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10853*g**3 + 131*g**2 + 11*g + 2?\nAnswer: -65118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(156)*-3)\/(sqrt(1200)*1))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + c - 12 - 1, -2*c + 20 = 5*m. Let w(q) = q**2 - 7*q + 6. Let s be w(m). Calculate the remainder when 10 is divided by 5 + -1 + s + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2922625*f = 2922602*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + 11.87. What is the biggest value in 2\/11, -3\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/9)\/(6\/(-153)). Suppose q = -o + 6*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1000000000111011?\nAnswer: -1000000000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02241 (b) 0.23 (c) 0.327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1097 - -5483\/5. Which is the closest to -0.1? (a) -0.1 (b) o (c) -0.3 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 10 - (-1)\/((-12)\/(-28)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -682, -1223, -1874, -2635, -3506?\nAnswer: -4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*g + 10 = 80*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -22, -30, -38?\n\"Answer: -8*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 50) + 33 - (19 - -1) - 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -0.7 (c) 556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9))\/((-1)\/(-9)). Let k(b) = -1 - 2*b**y + b**3 - 9*b + 0 + 11*b. Let p(u) = u**2 - 5*u - 8. Let x be p(6). Calculate k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Suppose -3*t + y + 6 = 4*y, 0 = 3*t - 5*y + 26. Let o(c) = -829*c + 11. Is o(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 52*t - 21 = 0. Suppose -t*r = -44 - 52. Suppose r*m + 12 = 38*m. Solve -5*w - 4 - 10 = -2*c, -w + m = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/a**6*a)\/a*a)\/a*a)\/a)\/a**(-3))**(-4\/7) assuming a is positive.\nAnswer: a**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -149*c - 6405. Calculate z(-43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13 = -x, -4*x - 5*g + 15 = x. Let j(r) = r + 14. Let p be j(-12). What is the remainder when 1\/(2\/(92\/p)) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + p + 5, 5*x + 5*p = 2*x + 21. Let w(k) = -12*k. Let m(z) = -1. Let i(l) = 3*m(l) - w(l). Calculate i(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1)\/34) - -2. Let w be 3\/(o\/(-10) + -3). Let h(l) = w*l**3 + 3*l + 9*l + l - 2. Let t(r) = 8*r**3 + 7*r - 1. What is 6*h(s) - 11*t(s)?\nAnswer: 2*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5592 = -4*t, -6*w + 5574 = -4*w - 5*t. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-9.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 282784*r - 8202418.\nAnswer: 2*(r - 141421)*(r + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Suppose -4*p = -2*u + 86, 3*p + 36 = -4*u + 186. Suppose 12*b + u = -57. Give w(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/9 + 34*g**3\/9 + 511*g**2\/9 - 8716*g\/9 - 2132 = 0. Calculate g.\nAnswer: -18, -2, 13, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, g: 1, y: 2, p: 4}. Give prob of sequence hhp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p + 30. Let z(k) = -61*k + 151. Let q(y) = 11*w(y) - 2*z(y). Suppose -7*x - 2*m - 4 = -2*x, 4*x = -2*m - 4. Give q(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 1, k: 1, o: 1, i: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:47 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-158)\/(-18) + 2*(-2)\/(-18). Let c = m - -6. Calculate the greatest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5743 (b) 1 (c) -2 (d) 0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 3*w = -4*r + 9, -3*w = r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 5864295 = 57*d - 33*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 7*b**2 - 22*b - 10. Let j be t(-10). Round j to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, -5, 402.\nAnswer: -5, 98, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -22*w - 5. Calculate the remainder when m(-2) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.5 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 13.7893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 129165, 129166, 129167, 129168, 129169?\n\"Answer: d + 129164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.9 + 29.1554. Let a = -7 + 6.75. Let n = a + f. Round n to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awp when three letters picked without replacement from {a: 2, z: 1, p: 5, u: 3, w: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/5 of a centimeter?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 38*b - 10 - 8)*(-b**3 + 0*b**3 - b**3).\nAnswer: 76*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 36*g + 84. Is 75 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1123810?\nAnswer: -112380b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216 + -136. Suppose -4*s + j + 36 = -12, -2*s + 2*j = -30. Let m = 31 - s. Calculate the highest common factor of q and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95074052 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -5, 2\/441, -4, -0.6?\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 78*n + 125. Calculate the remainder when 67 is divided by x(-77).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 976343 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 5*t**2 + 9)*(7 - 1 - 3) as s*t + o*t**2 + p and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 388 (b) 0.1 (c) -2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-16)*-8)\/(7\/(-18)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 3) in base 8?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, a: 4}. Give prob of sequence ppp.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (27 + 2) - -23\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 95.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o - 4*o)*(15*o + 6*o + o)*(-4*o + 3*o + 2*o) - 5*o**3 - 2*o**3 + 5*o**3 + (-2 + 2 - o)*(0*o**2 - 6*o**2 + 3*o**2).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -127309926860 rounded to the nearest 1000000?\nAnswer: -127310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4 - -55573704265.\nAnswer: 55573704261.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3557, 7752, 11949, 16148, 20349, 24552?\n\"Answer: s**2 + 4192*s - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by 229381?\nAnswer: -23\/13493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -564740233001748?\nAnswer: -564740233001748.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21646681 and 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0\/1)\/2)\/(-7 + 9). Let z be 7 - -3*(-2 + 1). Suppose q = z*h - y - 5, 4*y = 5*h - 27 + 7. Sort 6, 5, 1, h in increasing order.\nAnswer: h, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1094 or 1096?\nAnswer: 1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58.48 - 57. Let g = 0.60709 + -5.60709. Sort -3, r, g.\nAnswer: g, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 252 - 241 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 1. Let l(c) = -8*c**2 - 8*c - 2. Let m(g) = -2*a(g) - l(g). Find the second derivative of m(t) wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.77 from 33.191.\nAnswer: 32.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36120, -36119, -36118?\n\"Answer: p - 36121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 1925 = 0. Does 21 divide u\/(-22)*18\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27416 + -27411. Solve -20*m = l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1134\/2621357 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 9*y**2 - 6*y + 7. Let t be f(8). Suppose -1684*v + 1686*v = -24. Let h = t + v. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466614*m**2 - 155408*m**2 - 155420*m**2 - 155788*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 138715.\nAnswer: 138715.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 + -1903\/7. Let t = 107.5 + -108. Put t, h, 0.4 in increasing order.\nAnswer: h, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 - -26.7. Let x = i + 0.2. Let c = 16.99968 - x. What is c rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 14 + 16. Let i(k) = -31*k + 3 + 5 + 32*k. What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -375, -749, -1125, -1503, -1883, -2265, -2649?\n\"Answer: -d**2 - 371*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11142399, -22284798, -33427197?\nAnswer: -44569596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*b - 4*b - 3*b + 2*b - 4*b + 2*b**2 as g + t*b**2 + o*b and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 898712926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 3*w**2 + 8*w - 4. Let n be x(-4). Let z be n\/(-25)*(-5)\/(-20). Let m = 2 + z. Put m, -1.3, -3 in descending order.\nAnswer: m, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192*(-88)\/(-16) - 4.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -3, 3\/2, 1, 825105, 4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -336 - -339. Which is the fourth smallest value? (a) 5 (b) p (c) -1\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4392557, 4392669, 4392783, 4392899, 4393017?\nAnswer: 4393137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 divided by -409.\nAnswer: -181\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-1)*2)\/2)\/((-5)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -434, -413, -384?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12480 divided by 6?\nAnswer: -2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187789984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643, -1049, -1459, -1873, -2291, -2713, -3139?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -d - 0*d + 3379, 2*h = 3*d + 6773. List the prime factors of h.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -71*d + 189. Let k(u) = 63*u. What is k(z(f))?\nAnswer: -4473*f + 11907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (2 + (-18 + 5 - -9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*o - 7, 5*o = -2*m + 2 + 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 2*y + 1. Let m be z(2). Suppose 0 = -n - m. Let i(r) = -2*r + 2. Calculate the least common multiple of 2 and i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32123 and 6354.\nAnswer: 578214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 3531*v\/2 + 14092.\nAnswer: (v + 8)*(v + 3523)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 6, k: 1, o: 5, l: 2, f: 3}. Give prob of sequence kl.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.4 (c) 657 (d) -2\/7 (e) -1183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0159918495 from -375310.\nAnswer: -375309.9840081505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + u + 331 = -343, -680 = -5*f - 5*u. Let x = -138 + f. What is the nearest to 1 in -1, x, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s\/(s\/s**(-2\/139))*s))\/(((s\/(s\/s**7*s*s)*s)\/s)\/s))\/(s**(1\/64)\/s*s**3*s) assuming s is positive.\nAnswer: s**(-53387\/8896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 2*b**5 + 2*b**2 + (b**2 + 3*b**4 - b**2)*(b + 3 - 3) - 220*b**5 + 2050*b**2 - 2050*b**2.\nAnswer: -215*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3328*n + 36977 = -20925 - 21970 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and 79\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167117 divided by -6.\nAnswer: 167117\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-1 - 4\/(-2)). Suppose 2*k = 2*r - 1 - i, k = -3*r + 14. Solve -r*x + 6*x + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(160) - 1*sqrt(160))\/sqrt(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/360 and (10*50\/20)\/(-18).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118446 is divided by 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**3 + 0 + 0 + 2771*w**3.\nAnswer: 2714*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/13 (b) 2\/9 (c) 1\/17 (d) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by -5830\nAnswer: 304\/2915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 360401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2415606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*a - 1585 + 1051 - 3250 = 0 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3859701.\nAnswer: 3, 137, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let o(f) = f**2 + 69. Let r be o(27). Let y = r + -797. Let d(t) = -t - 3. What is y*d(h) - 2*z(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45152, 78859, 112566, 146273, 179980, 213687?\n\"Answer: 33707*f + 11445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -12)\/(8\/24)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -44, -69, -90, -101, -96?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -174 - -182 - ((6 - (7 - 7 - -110)) + 0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvv when three letters picked without replacement from {v: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 486 = -6*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:35 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u - 1. Let g be m(-9). Let p be (-52)\/g - (-4)\/(-7). Let t = 2.7 - -0.3. Which is the third smallest value? (a) 0.1 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 213 = -2*u. Suppose -3*l - 5*g = -u, -6*g - 118 = -4*l - g. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17047 + -8266. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d - 12*d + 24*d. Let s(p) = 39*p**2 + 3*p. Calculate s(j(i)).\nAnswer: 156*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/59622 and 139\/364116.\nAnswer: 190432668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/(-185))\/((-6)\/5) - 1\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i - 40 = 3*j - 48*i, -50 = -5*j + 5*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -k, 0 = 5*c - 14*k + 13*k - 12. Let o(g) = -12*g**c + 2360*g - 2360*g. Let m(v) = -1. Let n(z) = -z - 3. Let j(p) = 3*m(p) - n(p). What is o(j(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1416.5 - -1418.5. Let b = -2\/71 - 67\/142. What is the nearest to -2\/7 in 0.3, b, m, 5\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-39))\/(12\/156)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -36 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -21*n + 74. Let k be b(-3). Find the third derivative of -5*z**2 + 28*z**4 + 18*z - k*z**4 - 67*z**4 wrt z.\nAnswer: -4224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24898584?\nAnswer: 2, 3, 1037441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-1*5)\/((sqrt(225) - (sqrt(225)*1*-6 + sqrt(225))) + sqrt(225)).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46976016 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 570?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + m + 4*m + 2*m. Let r(x) = 2*x. Determine t(r(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2410\/7 - ((-48)\/(-42))\/4. Suppose -r + 3*r - 4*a - 184 = 0, 4*r - b = -4*a. Let v = r - 86. Solve 0 = v*n - d - 12, 2*n + 3*d + 5 = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(-2\/161)\/(i**10*i\/(i\/(i**(-1\/3)*i))) assuming i is positive.\nAnswer: i**(-5158\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 403 = -431. Let k(i) = 5*i - 1. Let m be k(1). What is the second derivative of 19*w**l - 15*w**5 - 19*w**m + 5*w wrt w?\nAnswer: -300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3017536 centuries?\nAnswer: 30.17536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 2*z - 3*z)*(-4*z + 3*z + 2*z) + (-4 - z + 4)*(-5*z - 6*z - 6*z) to the form r*z + v + b*z**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36 and 89516.\nAnswer: 89552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 greater than or equal to -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -15. What is the remainder when (-86)\/(-8) - (-1)\/4 is divided by a\/(-3)*(3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -0.1 (c) 0.5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54, 296, 700, 1266, 1994, 2884?\n\"Answer: 81*p**2 - p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*v - 52 = 222*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119010317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 41194*i + 424236409.\nAnswer: (i + 20597)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 6*u + 753. Let o(v) = -3*v**2 + 10*v - 1501. Let i(k) = -5*g(k) - 3*o(k). Let c(w) = 2*w**2. Determine i(c(s)).\nAnswer: -4*s**4 + 738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 31\/(-4))\/(-1 - (-190)\/192). What is the greatest common factor of 342 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42553051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 19*u**3 + 8*u**2 + 8*u - 8. Let h(r) = -6*r**3 - 3*r**2 - 3*r + 3. Give -8*h(z) - 3*y(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7\/(h\/(h\/(h*h\/(h**(-3)*h)))))**(2\/17))**(-17) assuming h is positive.\nAnswer: h**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8))**(15\/8)\/(n**30\/n)**(-29) assuming n is positive.\nAnswer: n**(53869\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -6*d. Let s = d + 0. Suppose 1 = v - 2*v + 2*o, 0 = -2*v + 5*o - 6. Calculate the smallest common multiple of v and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9)*v)**(2\/15))**(-5\/2) assuming v is positive.\nAnswer: v**(-11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16019222 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -749 + 489. Calculate the highest common divisor of 110 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + (-5 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0520181 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249917287 and 23441?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let y be (-1)\/(-3) - 23\/(-3). Suppose 2 = 3*b - 13, 2*c + 2*b = 26. Let v(f) = y - f - c. Calculate v(m(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(8\/12). Suppose q - 1 = -o, -5*o - a = -5*q + 4. Suppose -g = -8 + q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20575, -20561, -20545, -20527, -20507, -20485?\nAnswer: -20461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279 + 284. Solve -7 - u = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = 4*w - 18*x - 105, 75 = 3*w - 3*x. Solve -f = -2*h - 1 - 2, 5*f + 5*h = -w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 438070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukk when three letters picked without replacement from {n: 1, c: 2, k: 4, u: 4, r: 3, m: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191 + 302 + 709 + 304)*(-o + o + 7*o) to u*o + q and give u.\nAnswer: 7868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4033069900.\nAnswer: 2, 5, 61, 557, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(700) + 0 + sqrt(700) + 5))**2 - ((-6*(sqrt(700) + 1 + sqrt(700)))**2 + 1))*2.\nAnswer: 1726 + 11520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - d)*(0*d**2 + 6*d**2 + 2*d**2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3)*(-549)\/3050)\/3.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**3 + 28*j**3 - 70*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14136372.\nAnswer: 2, 3, 31, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) -21058.9 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*(-1070)\/(-107).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:54 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + 8*s - 9. Let h be c(0). Let d(o) = -o**3 - 10*o**2 - 7*o + 9. What is d(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 830*c - 828. Let o(t) = 12*t**2 + 2488*t - 2484. Let b(m) = -8*l(m) + 3*o(m). Solve b(q) = 0 for q.\nAnswer: -207, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 11*r**2 + r - 7. Let u be n(-11). What are the prime factors of (-4)\/u - (-102)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/((-2 + 4)*1). Let c be (((-16)\/(-18))\/2)\/(8\/36). Suppose -u*q - 6 = 4*v, 3*v - 8 = c*q + 6*v. Solve -16 = -q*w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u - 5. Suppose 0 = 4*j - 2*s - 14, 2*j = -u*s - s + 25. Let l(g) = -g + 6 + 2 - j - g**2. What is l(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 divided by -98?\nAnswer: 242\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)\/((-2)\/8). Solve 0*w - h = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7616 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: Expand (-w**3 + 2*w - 2*w)*((-3*w + w + w)*(-3 - 2 + 4) + 6*w + 2*w - 2*w).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2 - 3 - -140. Let m be (-6)\/(-14) - 144\/i. Which is the second smallest value? (a) 9 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-10 - -25) - 17) + (-5 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.94018 - -0.05018. Let q = 10.94 + z. Let v = 22 + q. Round v to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77175 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -41. Let q(g) = g. Let w be q(4). Suppose 12 = 4*v + f - 0*f, -5*v + 2*f + 28 = 0. Solve -v*a - 14 = -3*c, w*c + 2*a + m = -15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*q = -2*q + 155, -31 = -j + 5*q. Let i be (42\/(-10))\/(2 + (-9)\/5). Let p = i + j. Solve 5*m + p = -4*n, -3*m - m = -2*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 28*w + 310 = -2*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 33856?\nAnswer: 33856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43\/40 + -7\/8. Sort a, 2\/3, 3\/7 in decreasing order.\nAnswer: 2\/3, 3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/4)\/((-24)\/(-32)). Let x(d) = -d**2 - 7*d. Let t be x(c). What is the highest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 2*g**3 + 0*g**3)*(2 + 3 - 3) - 6*g**3 - 18*g**2 + 13*g**2 + 4*g**2 + 124*g.\nAnswer: -4*g**3 - g**2 + 124*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.07. Let z = -0.37 - n. Let l = -0.06 - -0.46. What is the smallest value in 4, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9435696 is divided by 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from zzzzffzzzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4124*m + 8355*m - 4233*m. Let g(s) = 573*s**2 + 4*s + 2. Calculate o(g(h)).\nAnswer: -1146*h**2 - 8*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1008) + (-3 + (-3*sqrt(1008) - sqrt(1008)) + sqrt(1008))**2) + 1 + (sqrt(35) - sqrt(35)*2*-5)\/(-3*sqrt(80)).\nAnswer: -18161 - 5483*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {c: 2, b: 1, h: 7, o: 1, v: 9}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*u - 15 = 0, 2*n + 3*u + 15 = 4*n. Suppose n = g - 2 - 1. Suppose f + g*j + 5 = 0, 0*j = f - 2*j - 5. What is the least common multiple of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -11. Is 5 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 4*i**2 - 4*i - 3. Suppose 0*x + 4 = 2*x. Let u(f) = f**3 - f**2 + f - 1. Let l be u(x). Give p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14024402 + -2?\nAnswer: -14024404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44365649?\nAnswer: 41, 1082089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -122. Let s = -67 - m. Let v = -7 - s. What is the remainder when v is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-378)\/1092)\/(12\/(-16)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 223?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 21001210102?\nAnswer: 21001210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-4)\/(-20)*15\/6). Suppose 5*b = -3*t + 8*b - 3, -v*t - 5 = -3*b. Suppose -2*u + 4*q + 11 = 3*u, 0 = -4*u + q + 11. Solve -t*a - u = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -458 + 444 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-35) + (-4563)\/(-21).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262.6*160\nAnswer: -42016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*u + 125*u + 58*u - 3*u**2 + 222*u**4 - 3 wrt u?\nAnswer: 2664*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.8. Let p = 0 + 1. Let g = 1.5 - p. What is the smallest value in g, a, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3029 and 4355?\nAnswer: 1014715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjr when three letters picked without replacement from jnnjtir.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 11. Let x be d(-7). Let n be (-1)\/x + (-3)\/(-4). Which is the closest to -0.08? (a) 0.5 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/478 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29006, -232014, -783020, -1856024, -3625026?\nAnswer: -6264026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)\/((-2)\/(4\/(-22))). Suppose 3*t = -3, -7*k - t = -3*k - 15. Which is the second smallest value? (a) -1\/3 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oyoyoyooyoyoxyoyyyx.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(-60) + (3432\/10)\/3?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**4 - 7*z**2. Let g(o) = -o**2. Let q be 10\/(-8) - (-16)\/64. Let l(i) = q*c(i) + 6*g(i). Find j, given that l(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/4 - 33417*f**3\/2 + 66825*f**2 - 66822*f = 0. Calculate f.\nAnswer: 0, 2, 22274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4290000)\/1638)\/(-100) - 26?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 96 = 2*w + 4*x, -4*w - 3*x + 92 = 0. Calculate the remainder when 59 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 2*h + 2*h + h - 4*h + h + 2 - 2 + (-h + 4 - 4)*(-1 + 1 - 2) - h + 0*h - h)*(-35 + 13 + 282).\nAnswer: -260*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from pcuccucppppup.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 33*i + 20. Let c be t(-33). Factor 38*h**5 - c*h**5 + 8*h**3 + 6*h**4 - 4*h**3 - 16*h**5.\nAnswer: 2*h**3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*b = -150637 + 150749 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -40*c**2 + 8*c**2 - 78*c**2 - 9*c**2. Let y(i) = -2*i**2. Give b(y(k)).\nAnswer: -476*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 v when four letters picked without replacement from {h: 4, x: 4, b: 3, v: 3, c: 5, n: 1}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 404527 - 32?\nAnswer: 4044a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*v**3 - 514*v**3 + 252*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 - 51*z**2 - 128*z + 49. Determine v(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -37*h + 1. Let o(k) = 38*k - 1. Determine -5*o(n) - 6*p(n).\nAnswer: 32*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (17 - 18))*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11041319 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 200, 4, -1, -5, 1 in descending order.\nAnswer: 200, 4, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 25. Let l be y(6). What is the tens digit of (-5)\/((-15)\/57)*(l + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120654*o + 1529*o**3 + 120654*o - 1531*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/3 + 3299*s**3\/3 + 97937*s**2\/3 - 434675*s\/3 + 111146 = 0. Calculate s.\nAnswer: -3269, -34, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let p = -5.774 + 3.9. Let j = -1.774 - p. What is the second smallest value in j, 4, l, -2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38087548?\nAnswer: 2, 17, 311, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 205 + 8879*f - 8875*f to o + m*f and give o.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899134 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1573) - sqrt(1573)*2 - sqrt(1573)))**2 - (5 + sqrt(1573) + -3)) + (((-4*sqrt(104) + sqrt(104))*2)\/(2*(sqrt(8) + sqrt(56)\/sqrt(7))))**2.\nAnswer: -11*sqrt(13) + 906157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-32 - ((14 - 1) + -28)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*j - 22 + 103, -2*j + 66 = 4*w. Suppose -4 = t - w. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 249014 = 6*h + 248825 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 26 (c) -0.4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/172481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, -4 in increasing order.\nAnswer: -4, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:01 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 3*y - 3*s, 0 = -4*y + 3*s - 8. Suppose 0 = -q - 5*f - 3 - 2, 4*f + 33 = 5*q. Put 7, q, y in decreasing order.\nAnswer: 7, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -34 - -73*4\/(-40).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1473 and 36307977.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 29*a + 21. Let x be y(0). Let o be (x + -23)\/((-1)\/8). Solve 2*p - o = -2*r, 0*r - 22 = -4*p - 2*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*w - 8 + 7 + 0 - 1 as v + m*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112346629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**3 + 0*s**3 - 455*s - 30*s**2 - 187*s**6 + 469*s wrt s?\nAnswer: -22440*s**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1195, -2733, -4595, -6775, -9267, -12065?\n\"Answer: j**3 - 168*j**2 - 1041*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 2\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdeqv. Give prob of sequence qe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*p**2 - 5*c*y + 25*c - 9*p**3 + p*y wrt p?\nAnswer: 4*c*p - 27*p**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.085, 4, -2, -3, 5.\nAnswer: -3, -2, -0.085, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211135131 a multiple of 11031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((6 - 5) + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfff when four letters picked without replacement from bfbffffffbfbbfffbbwf.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 times 0.57\nAnswer: 0.01425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovvo when four letters picked without replacement from {o: 6, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3567 + -3567. Solve 3 = 2*n + 3*p - 3, -2*n + p + 14 = m for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494.8468 months in years?\nAnswer: 207.9039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -22904\nAnswer: 2290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40465, 43998, 47527, 51052, 54573, 58090, 61603?\n\"Answer: -2*a**2 + 3539*a + 36928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5)*120\/(-8) - 4. Suppose -2 = -5*t + 3. Let l(j) = -j + 2*j + 2 + j**3 - 3. Let v(k) = k - 1. Give h*l(x) + t*v(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10430113 + 3?\nAnswer: 10430121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**3\/6 + 5*w**2 + 8*w. Let t be o(-8). Does 37 divide (-783)\/t*(-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = u - 4*l, 2*l + 1 = 2*u + 17. Let t(a) = -29*a + 10. Let w be t(u). Let m = w + -53. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:29 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/70*4)\/((-3876)\/510)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 20, -4*t - v - 17 = -0*v. Which is smaller: -82 or t?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8390686469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, z: 1}. What is prob of picking 3 k and 1 z?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458 divided by 18?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a hour in seconds?\nAnswer: 38700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 4, t: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 55303 = -2416. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/52 - (-72)\/39. Let j be (-34)\/(-2) + 0 + l. Find the first derivative of -126*v - j*v**3 + 126*v - 25 wrt v.\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -71. Let f(x) = -x**3 + 10*x**2 - 10*x + 10. Does 29 divide f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812 = -139*d - 40*d - 873 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3849, 7689, 11527, 15363, 19197, 23029?\n\"Answer: -f**2 + 3843*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**5\/7 - 5055*y**4\/7 + 47967*y**3\/7 + 1419*y**2\/7 - 167658*y\/7 + 123336\/7 = 0. What is y?\nAnswer: -571, -2, 1, 4\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 282, 943, 2232, 4359, 7534, 11967, 17868?\n\"Answer: 35*p**3 - p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34305 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 3*f**2 + 7*f - 10*f**2 - 13*f**2 + 25*f**2.\nAnswer: -f**2 + 7*f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 933\/(-77) + 27\/(-63). Let s = 2092\/165 + r. Which is bigger: s or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4.17. Let i = 2.83 + c. Sort i, 0.08, -2 in descending order.\nAnswer: i, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -409, -410, -409, -406?\n\"Answer: f**2 - 4*f - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -9?\nAnswer: -35\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 773724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -7) + -4 + -1 + (-7 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8351923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k - 616. Let u be r(-31). Solve 6*i = 2*i - u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -61, -18, -4 in decreasing order.\nAnswer: 4, -4, -5, -18, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*t + 4*c - 8, 2*c + 8 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/4 - 1955*w**3 + 7408197*w**2\/2 + 464480163*w + 1843096437\/4 = 0. What is w?\nAnswer: -117, -1, 3969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-126)\/15)\/((-1)\/5). Suppose 13*a - 41 = 24. Let y = i + a. Does 38 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 - 50 = 0. Suppose -q = 6*c - c - b, -5*q = -4*c - 17. What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (7\/(-35) - 441\/270*6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 5*t**4\/12 + 4*t**3\/3 + 3*t**2\/2 - 4*t. Let b be z(-6). Suppose 5*h - b - 110 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 19\/4*t**4 + 4*t**2 + 0*t + 0*t**3 + 5. Find the second derivative of l(w) wrt w.\nAnswer: 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -22 + 9 + (-5 - 27) + 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 20\/27 in decreasing order.\nAnswer: 4, 20\/27, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 38 = -18. Let k = y - -58. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 38890*o + 1249600 = 0.\nAnswer: -32, 7810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9616.362 hours in weeks?\nAnswer: 57.24025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 15*q + 3*q**2)*(-3 - 1 + 7)*(q - 6*q + 3*q)*(45 - 8*q - 45).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p - 8. Let y(a) = -5*a - 4. Let n(j) = -4*r(j) + 7*y(j). Let v be n(-5). Which is greater: -2\/13 or v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -77, -158, -273, -428?\n\"Answer: -a**3 - 8*a**2 - 22*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*v**4 - 96 - v + 104*v**5 - 58*v**5 - 60*v**5 wrt v.\nAnswer: -280*v**3 + 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.248558 less than -8600.86?\nAnswer: -8600.611442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193704 + 475213. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 8*p**2 + p + 4. Give k(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -5 (c) 1.5 (d) -1\/2 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235 - -228. Let p(n) = -n**3 - 8*n**2 - 5*n + 14. Calculate p(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 13958.\nAnswer: 1116.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 + -6.1. Which is bigger: -13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21212000122221212022 - -12?\nAnswer: 21212000122221212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-15)\/20)*(-240)\/(-50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:51 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + g + 43. What is c(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) -2\/7 (d) 276 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/12 + 3*f**3\/2 - 2*f**2 + 7*f. Let d(q) = -q**2 - 9*q + 3. Let o(p) = 5*a(p) + 6*d(p). Is 4 a factor of o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0213 + 3.7113. What is t rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-3 + 3 + 7*o) + 2*o - 2*o - 2*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -n + 20, y + 0 = 2. Is (-16)\/n + (-766)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103004 is divided by 8275.\nAnswer: 8154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2 - 14*b - b**3 - 9*b + 37*b + 4*b**2 - 10*b. Give v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5*(6 - 1). Suppose -m*a + 4*p - 68 = -a, 0 = -3*a - 2*p - 260. Let k = 250\/3 + a. Is k greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 330756?\nAnswer: 4299828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -122*o**2. Let v(w) = -123*w**2 + 33. Let m(c) = -15*c**2 + 4. Let r(h) = -33*m(h) + 4*v(h). Determine r(p(x)).\nAnswer: 44652*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 3 - 3 + (-10*s**2 - 11*s**2 - 8*s**2)*(0 - 3 + 2).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -174*y**2. Let v(b) = 12666*b + 12654*b - 25326*b. Calculate v(w(j)).\nAnswer: 1044*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*r - 155 - 4 = 0, -2*r = g - 33. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-12)\/28)\/((-170)\/(-70))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-23)*b*b\/(b**(3\/8)*b)*b)\/(b\/b**10*b*b*b**(-17)))**(-5\/2) assuming b is positive.\nAnswer: b**(-105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15211 is divided by 195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -93003 less than -93003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2. Let c(g) be the first derivative of -7*g**2\/2 - 7. Give c(l(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 42 + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.008?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218994627.\nAnswer: 3, 19, 3842011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:29 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6 + (-5 - -7))*6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -10. Suppose 4*z = -z - v. Let r = 0 + z. Let s(b) = -b**3 + 2*b**2 - 5*b. Let c(y) = -y. What is r*s(i) + 5*c(i)?\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3151313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 326281752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12758544 and 1968?\nAnswer: 12758544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - -0.119.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 3. Let v be h(3). Let m(b) = 4*b**2 + 5*b + 8. Let d(y) be the first derivative of y**3\/3 + y - 2. Let z(f) = -5*d(f) + m(f). What is z(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 + 10*t + 1. Let j be h(-10). Let p = 35819\/52 + -689. Is j equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 + z - 1. Let j be m(-7). Let y(x) = -7*x - 13. Let t(q) = 7*q + 14. Let v(d) = 4*t(d) + 5*y(d). Is v(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, -198, -377, -558, -741, -926?\n\"Answer: -j**2 - 174*j + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -570*x + 63. Let c(z) = 162*z - 18. Calculate 18*c(t) + 5*k(t).\nAnswer: 66*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 591.8451 weeks?\nAnswer: 4142.9157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -4\/159, 5, 0.2, 2, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31657760 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**5 + 3*t**2 - 3*t - 2 wrt t?\nAnswer: -80*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 12084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 530\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459564377 + 25123.\nAnswer: 459589500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 12. Let c be k(6). Let d(j) = 19*j + 15. Let n(a) = -10*a - 8. Let h(t) = c*d(t) + 11*n(t). Is 18 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t + 4. Let j(y) = 8*y + 5. Let o(h) = -4*j(h) + 5*u(h). Suppose 3*i = 13 + 2. Let k(d) = -3*d**2 + 9 - 4 - i. Give k(o(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urc when three letters picked without replacement from auucrc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*k - 386*k = -1369*k - 5382 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2671 - 2532. What is the remainder when x is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 15138161?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 6*b)*(-3 + 0 + 7) - b + b - 2*b - b - b + 3*b + (3 - 1 - 3)*(-2*b - 3*b + 6*b) + b - b - 2*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 36*k**2 + 203*k.\nAnswer: k*(k - 29)*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*m = -14483, 23*x - 9670 = 21*x - 5*m. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fddf when four letters picked without replacement from {f: 8, d: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - -76. Suppose 5*i = 248 + x. Let c = -49 + i. Calculate the smallest common multiple of c and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 548579*o**5 - 100100285*o**2 wrt o?\nAnswer: 32914740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfslfflsssssssfls. Give prob of picking 3 f and 1 l.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 4979833189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*s + 4*s. Suppose -3*f + 6*n + 18 = 3*n, -2*f + 4*n = -s. Factor -9*c**5 + 15*c**3 - 5*c - 24*c**f - 8*c**2 - 37*c**3 + 4*c.\nAnswer: -c*(c + 1)**2*(3*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 500*n - 30*n - 978*n.\nAnswer: -1508*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 12 + 8 + 2 + 7*p + 1.\nAnswer: 7*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + -0.09. Let r = -0.83 - -0.43. Suppose 4 = u + 3*u. Which is the closest to u? (a) 0.2 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/4 - 96*i**3 - 579*i**2\/2 + 912*i. Determine b so that k(b) = 0.\nAnswer: -1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 21 = 0. Suppose -210 = 8*o - 10*o. Calculate the highest common factor of o and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 143.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -33, -15, 23, 87, 183, 317, 495?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*q**2 + 16 - 18 + 121*q**2 + (-q - 2*q + 4*q)*(6*q - 2*q - 3*q).\nAnswer: 97*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2362220 and -181\/990.\nAnswer: 233859780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f + 2*f**2 + 2\/3*f**3 + 0 + 3\/8*f**4. Calculate the remainder when w(6) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351689201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**2 - 78*y**2 + 24*y**2 + 23*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4486570, 4486560, 4486538, 4486498, 4486434, 4486340?\nAnswer: 4486210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 u, and 1 d when four letters picked without replacement from {k: 7, u: 8, x: 2, d: 3}?\nAnswer: 168\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 170006921537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/51)\/((-5)\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (5 - 4\/3). Sort p, -2, -3 in descending order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine quarters of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33132 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: Let z(t) = t**3 + 6*t**2 + 3*t - 5. Let d be z(-5). Let l be (-988)\/(-18)*912\/60224. Let a = 2\/941 + l. Put a, -0.1, d in descending order.\nAnswer: d, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d - 32. Suppose -3*s + 2*s = -5. Suppose -s*o - 81 = 4*o. Calculate the lowest common multiple of 2 and x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 952 - -2154. Suppose d = -14 + 16, -2*f + j = -5*d. What is f rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5 - -9.5. Which is bigger: y or 14\/3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-4))\/(1\/(-12)). Let s = g + 5. What is the units digit of (0 - 12)\/(6\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10522\/21044)\/(2\/(10\/(-3))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 770\/(-95) + (7 - -1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3590\/20569 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - -2) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30253411 is divided by 1689?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 20860 = -2092. Suppose -n = 3 - 4, 0 = -3*g + n + j. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 268.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 2001?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-r + 162*r**2 - 83*r**2 - 91*r**2)*(-25 - 1 - 7).\nAnswer: -396*r**2 - 33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2. Let s = -1.9 - -0.4. Let b = s - -1. What is the third biggest value in 2, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Let y be u(-1). Let w be (-3)\/20 + y\/8. Let z = 5.3 + -5. Which is the nearest to w? (a) z (b) -2\/7 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/84 and -77\/244.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7 + 23 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 t when four letters picked without replacement from dsssttbtbsssy?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 17*x**4\/12 + 5*x**3\/3 + 37*x**2. Does 14 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17 + 10*f**2 - 37 + 69 - f**3 + 13*f - 30. Let y(t) = t + 8. Let r be y(-9). Let u = r - -12. What is w(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or 2583\/11?\nAnswer: 2583\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1) + (4 - 5). Let w(a) = -2*a**2 - a - 1. Calculate w(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**3\/6 - r**2\/2 - 2*r. Let w be j(4). Suppose 0*x + 99 = 3*c + 5*x, w*x = 2*c - 47. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:33 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b47 (base 13) in base 15?\nAnswer: -a4ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -7*q**6\/60 + q**5\/30 + 6*q**2 - 3. Let r(z) be the second derivative of d(z). What is the third derivative of r(u) wrt u?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 79. Let g = m - -62. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770*k + 8 - 1235*k - 8 + 635*k.\nAnswer: 170*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39867280?\nAnswer: 2, 5, 23, 47, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 125*p**3 - 870*p**2 + 1820*p - 1240.\nAnswer: 5*(p - 2)**3*(p + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -65.964\nAnswer: -131.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51\/817, 0, 27, 0.1, 0.07, 1 in decreasing order.\nAnswer: 27, 1, 0.1, 0.07, 0, -51\/817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52 - -2.1\nAnswer: 54.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -2)*(-1 + 22). Calculate the highest common divisor of a and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*d + 2*d. Let g be ((-24)\/d)\/(4\/(-6)). Suppose -g*w = 3*w. Solve 2 = 2*a - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - h**3 + 0*h**3 + h**3 - 3*h + 3*h + (-2*h + 2*h + h)*(-2*h**2 + 4*h**2 + 0*h**2) + h + h**3 - h + 3*h + 2*h**3 - 3*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 10 = -2*x. Suppose -91 = -3*k + x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 < -493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.7. Let f = -728 - -728.2. Which is the nearest to 2\/11? (a) f (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 + 0 - 7*l**2 + 2 + 12*l**2 + l. Let z be s(2). Solve h = -z*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 25, -25\/12, 0.2 in descending order.\nAnswer: 25, 1, 0.2, -25\/12, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4029*x + 48341. Calculate z(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + -10 + (-1 - -1) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.9 + -2.1. Let f = -5165941.9 - -5165929.8999885. Let z = f - y. Round z to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*1 - ((5 - 1) + -4). Suppose 0 = u*l - 1625 + 57. What is the greatest common divisor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**4\/7 + v**3 - 47*v**2\/7 - 33*v + 270\/7 = 0.\nAnswer: -9, -5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/10142 and 17\/5.\nAnswer: 50710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 2 - -7 - (-10 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -5005151?\nAnswer: -5005214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/24)\/((-44)\/231*7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.038 (b) 1 (c) 0 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, x: 2, w: 1, d: 2, k: 2}. What is prob of picking 1 d, 1 w, and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*i + 734, -2*g - 740 = -6*g - 4*i. Find the second derivative of g*v**2 + 33 - 69 + 86*v + 34 wrt v.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -662*l**2 - 12*l + 673*l**2 + l**3 - l + 3. Let m be ((-1)\/(-2))\/((-3)\/72). What are the prime factors of y(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 9*w + 74. Suppose -5*p = -5*o - w, -o - 4*o - 4 = 4*p. Solve 6*s - 4 = p*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*d*l**4 - 14*d*l**3 + 45*d*l**2 + 13*d - 753*l**3 + 430*l**2 wrt l?\nAnswer: -1056*d*l - 84*d - 4518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 2. Let p(q) = -q**3 + 12*q**2 - 2*q + 26. Let k be p(12). Give c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-32)\/(g\/((g\/(g\/((g*((g\/(g*g\/g**(-2\/37)))\/g)\/g)\/g)))\/g)) assuming g is positive.\nAnswer: g**(-1371\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - ((-15 - -35) + -12)) + (3 - -1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127315983 - -241.246.\nAnswer: -127315741.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27486*r**2 + 37 - 6 - 35.\nAnswer: 27486*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let a be f\/(-2) + (4 - 1). Find the second derivative of h**2 + 4*h + h**a - 5*h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 39241084.\nAnswer: 39241089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.013 - -24.013. Let o = -69260588 + 69260563.9999912. Let f = o + h. Round f to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 61\/(-7) - (-16)\/(-56). Let h = 13 + l. Is (h\/(-10))\/((-4)\/140) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**3 - 1. Calculate the lowest common multiple of (8\/(-6))\/((-6)\/9) and o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -3 + sqrt(4)\/sqrt(2) + (sqrt(2) + -2 - sqrt(2))**2 + 5 + -1 + ((sqrt(3456)*1)\/((2*sqrt(132))\/sqrt(11)))**2.\nAnswer: 2*sqrt(2) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 0.02. Let n = v + -4.02. What is the closest to 0.1 in n, -2\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g + 4*h, 5*g = -h - h - 2. Suppose g = -4*p - 281 - 203. Let f = -845\/7 - p. What is the biggest value in 2, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-18) + 5\/45. Suppose -4*m + i*x + 10760000 = 0, m + x - 57785 = 2632215. Round m to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 - 2*d**2 + 2*d**2 + (-2*d**2 - d**5 + 2*d**2)*(2 - 8 - 1).\nAnswer: 11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -153*h**3 + 4*h**2 - 4*h - 1. Let k(v) = 458*v**3 - 11*v**2 + 11*v + 2. Give 11*j(r) + 4*k(r).\nAnswer: 149*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/4)\/u)**14*(u\/u**(7\/9))\/(u*u**(-13)*u))**(2\/17) assuming u is positive.\nAnswer: u**(265\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 2\/21, -1\/2, 3.96?\nAnswer: 3.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 25. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n + 20. What is t(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 + 19*h + 10. What is b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 29*i**6\/15 + i**4\/6 - 2*i**3 + 21*i. What is the third derivative of h(p) wrt p?\nAnswer: 1392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 12*s**2 + s - 14. Let h be f(12). Suppose 13 = 3*o - 2. Let d(x) = 3*x - 16. Let z be d(5). Put o, z, h in descending order.\nAnswer: o, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*((-11264)\/(-128))\/(-264).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 45. What is the units digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*u - 30 = 0. Solve -k + 3*p - 14 = 0, -4*k + u = k + 2*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-137*p - 23*p - 7*p)*(-11*p**3 + 11*p**3 + 6*p**4).\nAnswer: 1002*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 7 + 1 + 3*f**2 - 2*f**2. Suppose -10 = j - 4*a, 0*j + 4*a - 4 = 2*j. Calculate the remainder when p(j) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 530.5313 litres?\nAnswer: 530531.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2806 - -0.28. What is v rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 12*s - 14. Give x(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/(v*v\/(v*v**5)) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -5*h. Let w(b) be the first derivative of 0*b**5 + 1\/6*b**6 - b**3 + 0*b + 0*b**2 + 0*b**h + 2. Find the third derivative of w(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -3*k + k**2 + 1\/6*k**3 + 0. What is the derivative of d(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28453 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5843521, 5843529, 5843543, 5843563, 5843589, 5843621, 5843659?\n\"Answer: 3*c**2 - c + 5843519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 35 = -2*o, 0*w + 63 = -4*o + 3*w. Let y be ((-6)\/5)\/((-1)\/o). Let u = 21 + y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 2485050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*a - 72, 0 = -0*a + 3*a - 2*u - 123. Let q = a - 26. Suppose t - 8 = q. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1, 5, 0 in descending order.\nAnswer: 16, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l + 76. What is the tens digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 5*a - 4*a + 4*a + 5*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/8)\/b*b*b**(-4\/11)\/b)\/(b**1)**(-20\/7) assuming b is positive.\nAnswer: b**(1767\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 35\/2*p**2 - 100 + 147*p + 2\/3*p**3. Find the first derivative of n(a) wrt a.\nAnswer: 4*a + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(243) + -1 + sqrt(243))**2*-4*1.\nAnswer: -864*sqrt(3) + 23352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohbsbsoohssobb. Give prob of picking 1 o, 1 b, and 1 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -188.99999811 + 189. What is o rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 3*d - 310000. Let a = -16 - -12. Let j be 0\/(((-2)\/a)\/(9\/18)). Let q be l(j). Round q to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/75540 and 26\/3065.\nAnswer: 46306020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 112. Let r = 92 - s. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 36, 67, 100, 129, 148, 151?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 1 q when three letters picked without replacement from jmjjjbquuq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 + 0 + -2). Let p be (-8)\/t*1\/14. Let d = 25937 + -25937.5. What is the third smallest value in p, d, -13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 22. Let x be f(-5). Let r = 55 - x. Suppose p + 16 = 4*y, 4*y - 5*p - r = 2*y. Solve 4*z = -3*a - a + 20, 5*a - 2*z - y = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from vyyvy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 75. Which is the nearest to q? (a) -0.3 (b) 0.04 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959366 is divided by 479683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -72. Let v(z) = -9*z - 1. Let i be v(c). Solve -3*j = -11 + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 28 = -5*c, 16 = 3*c - 7*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35431, -36114, -36797, -37480, -38163, -38846?\nAnswer: -39529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2. Suppose 9*o = 12 + 6. Let t(y) = -118*y**2 - 121*y**2 + 242*y**o. Determine t(w(l)).\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*s + 4*q - 2 - 2, 9*s + 0*q + 3*q - 27 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7319.6? (a) 0.2 (b) -5 (c) 1\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12\/19 - -3\/95. Suppose 84 = -3*o - 9. Let x = -127\/4 - o. Which is the smallest value? (a) 5 (b) 2 (c) x (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001000011110011 + -111111001?\nAnswer: -10001001011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10123.03 take away 169.4932?\nAnswer: -10292.5232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 33. Let f = 57 - a. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 40. Let m(l) = l**3 - 2*l. Let s(f) = -f**3 + 3*f + 1. Suppose 4*t = -4*r + 4, -2*r = 150*t - 153*t - 17. What is t*s(z) + u*m(z)?\nAnswer: -2*z**3 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 12:58 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -3*s. Suppose -3*t - 2*f = -5 - 9, s*f + 2 = -t. Solve c + c = t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 12*t - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227715335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:20 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -w + 4*w. Suppose -w*b = -3*b. Suppose -t - 3*t + 140 = b. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 17712.\nAnswer: 1771.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-12 + -14)) + 45 + 1 + 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/14 + 2\/(-7). Let k(q) = -q**2 - 7*q - 4. Let s be k(-6). Find the third derivative of -s*a**3 + 3*a**3 - a**2 + 2*a**w wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:23 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*20\/60 - (-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-13) + (-1296)\/312. Sort -14, 4, x in increasing order.\nAnswer: -14, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let a be (-2)\/(-4) - 13\/2. Is ((-44)\/a)\/(u\/15) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/6*(5 + -8). What is the second derivative of -18*x - f + 11 + 36*x**2 - 5*x wrt x?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1919, -3865, -5823, -7799, -9799?\nAnswer: -11829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169879?\nAnswer: 19, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 + 116 = 4*a. Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**3*h*h))**43)**(2\/11)\/((h**2)**(-5\/3)\/(h**(-1))**(-1\/31)) assuming h is positive.\nAnswer: h**(-28549\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**4 + 0 + 12*d + 2\/3*d**3 - 3\/10*d**5 - 2*d**2. Let b(z) = 17*z**3 - 11*z + 11. Give -4*b(m) - 11*k(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 421700 to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**9\/z)\/(z**(-1)*z)*(z*z**(2\/7)*z)**(-3\/16))**(4\/39) assuming z is positive.\nAnswer: z**(212\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, n: 2}. Give prob of sequence ar.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-36) + 6\/8 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = 3*m + 372 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 55476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -252*x**3 - 2*x**2 - 20*x + 541838?\nAnswer: -756*x**2 - 4*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/39)\/((-22)\/(-33)))\/1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 0.6, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1581\/2 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -371 + 370.5. Which is the third smallest value? (a) -4\/23 (b) -0.2 (c) 0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31073 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 1, i: 5, a: 4}. Give prob of sequence jjj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 305683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 510528 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/15, 0.066, 10?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 1*(-5 + (sqrt(363) + -2 + sqrt(363))*6*5))**2.\nAnswer: -83160*sqrt(3) + 1310769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7527 and 389883?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5\/4 (b) 3 (c) 6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -28\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 2522. Let n(y) = -7*y**2 - 32*y. Calculate n(i(k)).\nAnswer: -28*k**2 - 70680*k - 44604092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2588 + -2520. Calculate the remainder when 487 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 3*n + 7*n as m + q*n and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/7, 4.4, -3.57, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*u - 5*r, 12*u - 13*u = -4*r + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {i: 1, m: 7, w: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -63*c. Let w(f) = -154*f - 3. Give w(m(s)).\nAnswer: 9702*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 92088 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59065 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - x - 31 = 57, 5*x = -w + 100. Let k(s) = -7*s - 10. Let g be k(-10). Calculate the greatest common divisor of w and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/169082?\nAnswer: -3\/169082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b**3 - 5*b**2 + 5*b - 1. Let o(p) = -29*p**3 - 8*p**2 + 8*p - 2. Let z(g) = 8*m(g) - 5*o(g). Find the first derivative of z(w) wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -154*v + 14. Let t be h(-8). Suppose t - 481 = 9*i. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26212 (base 12) to base 2.\nAnswer: 1100101110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8036961 months to decades.\nAnswer: 0.0066974675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6.5. Let l = 0.8 - -2.6. Let o = l - 3. Which is the biggest value? (a) 0 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 109*d + 216*d - 107*d + 6 + 4112*d**3.\nAnswer: 4112*d**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26660*y**3 + 37*y**2 + 27*y**2 - 64*y**2.\nAnswer: 26660*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100092804 divided by -7251.\nAnswer: -13804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 + 2*146\/(-20). Is a less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-6) - 4\/6. Let m be 76\/18 - (-2)\/(-9). List the prime factors of 15 - (m\/g - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 10) to base 6\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m + 6*m - 9*m)*(1 - 6 + 3)*(3 - 3 - 1).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 418, 625, 832, 1039, 1246?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-75)\/(-120))\/((-30)\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 6*i + 2*i + (-1 - 3 + 3)*(5*i - i - 3*i))*(4*i - 5*i + 3*i + (i + i + 0*i)*(0 + 0 + 1) + 3*i - 7*i - 4*i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 2. Let v be g(3). Let j be ((-4 + 4)\/v)\/((-1)\/1). Suppose -4*h - 14 + 302 = j. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 8 - -4 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/h*h*h\/(h**(-19)*h) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410164250 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 995897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**3 + 6*f**2 - 6. Let o(c) = -4*c**3 - 7*c**2 - c + 7. Let a(n) = -7*l(n) - 6*o(n). What is the second derivative of a(k) wrt k?\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 11 + 8)*(0*l**2 + l**2 + l**2 - l**2 + 4*l**2 - 2*l**2 + (2 + l - 2)*(l + 2 - 2) + 2 + l**2 - 2) to the form t*l + b*l**2 + a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 7*j - 7. What is f(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 379054.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 9*y + 159. Let f be h(-7). Sort 6, 13, f in descending order.\nAnswer: 13, 6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/7 + 40*i**3\/21 + 46*i**2\/7 + 48*i\/7 + 166. Factor u(h).\nAnswer: -4*(h - 12)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1563*i + 326*i + 313*i - 3 + 307*i + 315*i + 305*i.\nAnswer: 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 at most as big as -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 693*w + 4822*w**2 + 4822*w**2 - 665*w**3 - 9644*w**2 wrt w.\nAnswer: -3990*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-4))*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 367 - 374.18. Let k = -0.32 + y. Let r = -7 - k. Which is the smallest value? (a) r (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4561.343 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*k + 5*f**2*r - 32*f*r + 2*k**2 - 220*k*r wrt k.\nAnswer: -2*f**2 + 4*k - 220*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983672 is divided by 5856.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5452, 10916, 16380, 21844, 27308, 32772?\n\"Answer: 5464*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 1. What is the second smallest value in -3\/5, -4, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 1, w: 1, j: 6, h: 3}. Give prob of sequence jwd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-7) + 2534\/(-88690)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8. Let x(p) = 8*p + 2. Let d be x(t). Calculate the common denominator of -97\/6 and 1\/d*1635\/50.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 7*k**2 - 5*k - 6. Let i be s(-8). Let g be 1*2 - (-2 + 46). Let p = i - g. Calculate the least common multiple of 14 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4340)\/160 - (-270)\/10\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, z: 9}. Give prob of picking 3 z.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -k - 9*p + 18, -5*k + 25 = -2*p. Which is the nearest to k? (a) -0.1 (b) -5\/6 (c) -1 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1903329, -1903325, -1903317, -1903305, -1903289, -1903269, -1903245?\nAnswer: -1903217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*c*f + 98*a*f + 2*c*f + 496*f wrt a.\nAnswer: -2*a*c*f + 98*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -7 - -110) + -36 + (16 - -11)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1848171 divided by 2.\nAnswer: -1848171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/13 + 4*a**2\/13 + 66*a + 2484\/13 = 0. What is a?\nAnswer: -18, -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 1. Let r be x(1). Suppose -6*d + 4*d = -20. Let o = r + d. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7464847 is divided by 386.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/20*375\/(-90).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 2*c**2 - 155*c**4 - 143*c**4 + 309*c**4 to the form t*c**4 + x + g*c + w*c**2 + j*c**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 34*p**2. Let j(o) = -23166*o. Give i(j(s)).\nAnswer: 18246560904*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/3 - 388*n**3\/3 - 1576*n**2\/3 - 528*n = 0. Calculate n.\nAnswer: -2, 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*t + 971*t = 7880 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -412\/323 + 22\/19. Put j, -3, 0.5 in descending order.\nAnswer: 0.5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-602 - -15025) + ((-7)\/(-4))\/((-2)\/(-8)). What is the greatest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3410, 6818, 10226, 13634, 17042?\n\"Answer: 3408*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 248 - 80. Let q(j) = -j**2 + 30*j + 48. What are the prime factors of q(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 (base 11) in base 3?\nAnswer: -1000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oococc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3)*0\/(-1). Let p be 1*q\/2*1. Suppose -3*m - 2 = 2*n + 3*n, 0 = 3*n - m + 4. Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*r**2 - 10*r + 25*r + 80*r**2 - 2 + 3*r + 0 wrt r.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 57 = 5*z, l + 49 = -2*l - 5*z. Let c = -155 + -193. What is the remainder when (2\/l)\/(3\/c) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534412143044 - -1?\nAnswer: -534412143043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 21*w**2\/2 - 7*w + 18. Find the first derivative of i(y) wrt y.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**6\/180 - g**3\/2 + g**2 - 18*g. Let m(k) be the second derivative of l(k). Let c(v) = 11*v**2. Give m(c(b)).\nAnswer: 242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243.2 minus -7.56?\nAnswer: -2235.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 1.2. Let p = 6 + d. Let q = -83\/65 - -14\/13. Which is the third smallest value? (a) 5\/4 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583 - 23215 = -416*x for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1134 and 1802076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*d + 6, d - 32*j = -30*j - 9. Solve 0 = -d*a + 3*u + 3 + 4, 0 = 2*u - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 - n**2. Let c be w(4). Solve 0*h - 2*h = c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-24))\/((-30)\/(-40)))\/(9\/(-27))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -513, -279, 545, 2157, 4755, 8537?\nAnswer: 13701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54835965 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 t(x) = 4*x**2. Suppose v = -4*d + 10, d - 3*v + 4 + 0 = 0. Let k(c) = d + 3 - 5 - c. What is k(t(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -98 + 391\/4*u + 1\/4*u**2 = 0?\nAnswer: -392, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s - 2. Let f be k(3). Suppose -4*o = -r - 2, 4*r + 5*o = 68 - 76. Put r, f, 1, -4 in ascending order.\nAnswer: -4, r, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 182 in 0.5366, -0.6, -0.5?\nAnswer: 0.5366","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-5))\/((-1)\/5). Let v(g) = 91*g. Let j be v(3). Suppose z*o + h - j = 0, -4*h = o - 0*o - 91. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27 + -6.37. Let k = x + 6.099952. What is k rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65214263 and 296092?\nAnswer: 260857052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019781 to four dps.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1089*j*o*v**3 + j*o*v**2 + 2259*j*o*v - 136*o*v**3 - 3*o*v**2 wrt v?\nAnswer: 6534*j*o - 816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/5*28730\/52. Calculate the highest common divisor of 156 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 343*m + 7057. What is x(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -12\/13, 0.1, -290, -0.1?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-2)\/(-12)). Let c be -5 - 4\/(-1) - q. Solve -s + 6*m - c*m = 11, -3*s - 4*m = 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1)\/((-58)\/(2204\/(-114)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1 + -1 + (sqrt(1539)*-2 - sqrt(1539)) + -4 + -2)**2.\nAnswer: 252*sqrt(19) + 6205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 1 + 1 - 3*u**2 + 0*u + 3*u. Suppose -12*g - 6 = -14*g. What is w(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmqqmvvm. Give prob of sequence mq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - q + 1. Let g(h) = -2*h**2 + 3*h - 2. Let f be 3\/((-161)\/(-42) - (-63)\/(-27)). Calculate f*i(d) + g(d).\nAnswer: -4*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/31 + 92\/93. Let g = 0 - 0.4. Let o = -3 - 1. What is the nearest to -1\/3 in g, o, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -4\/3, -9, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 266 + -262. Factor 48490 - 34*q**2 + 2*q**j - 48490 - 14*q**3 - 18*q.\nAnswer: 2*q*(q - 9)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163662192 divided by 872.\nAnswer: -187686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 264211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22620075281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 997 + 701*i**2 - 700*i**2 + 4*i**4 - 2*i**4 - 29*i**4 - 36*i**4 wrt i?\nAnswer: -252*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 = -8. Suppose -s = s - z. Let r be s\/(-3) - (-115)\/3. What is the greatest common divisor of r and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250880761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29135614 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/4, -2211, 4?\nAnswer: -2211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000892765947 rounded to 7 dps?\nAnswer: -0.0000893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**22)))\/n**(-1\/3) assuming n is positive.\nAnswer: n**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 525 - 525 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 184*l**2 - 45. Let m(b) = -20*b**2 + 5. Let w(t) = 55*m(t) + 6*x(t). Let v(k) = -11*k**2. What is w(v(u))?\nAnswer: 484*u**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.05 + -0.05. What is the nearest to -0.2 in 7, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11948 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47957 (base 15) to base 16.\nAnswer: -37b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 37*h**7\/210 + h**4\/8 - 5*h**3\/6 + 3*h**2 - 2*h. What is the second derivative of m(t) wrt t?\nAnswer: 444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33957 + 135831\/4. Factor -3\/4*u**3 + c*u - 3\/8*u**4 + 3\/8 + 0*u**2.\nAnswer: -3*(u - 1)*(u + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 + (54\/(-30))\/(-9). Suppose j = 9*n + 187 - 844. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 2}. What is prob of picking 2 i and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + -9*4. Which is smaller: m or -36?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11471, 11447, 11423?\nAnswer: 11399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -26*c**4\/19 + 256*c**3\/19 + 1002*c**2\/19 + 824*c\/19 + 104\/19 = 0.\nAnswer: -2, -1, -2\/13, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -873*g**4*h + 2*g**2*h + 89*g**2 - 2*g*h wrt g.\nAnswer: -20952*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 - -7 - 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 701*z**4 - 2*z**3 + 7*z**2 + 61*z wrt z.\nAnswer: 16824*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(40) + sqrt(40)*2))\/sqrt(8).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3558*x**3 - 252*x**2 - 3454427*x wrt x?\nAnswer: -21348*x - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*z**5 + 104460*z**3 + 2205719*z wrt z.\nAnswer: -260*z**3 + 626760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 784\/26 + (-2)\/13. Suppose -5*m + 2*m = -k. Solve 0 = o - 6*o - m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5\/2*y**2 + 13 + 5*y. What is the derivative of l(w) wrt w?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from 5.6.\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:12 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 4\/2) + 5. Suppose 0*m - s*m = -26. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173903 and 36882558.\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2403173, -2403179, -2403189, -2403203, -2403221, -2403243?\n\"Answer: -2*y**2 - 2403171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(4\/7))\/n**(-6)*(n\/(n**(2\/7)*n))\/((n**(1\/4)*n)\/n)*(n**6*n**(3\/7)\/n)\/(n**(-2)\/n**(-1\/3)) assuming n is positive.\nAnswer: n**(1187\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 12 - 18\/6. What is the common denominator of 166\/24 - (7 - q) and 71\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 n when four letters picked without replacement from rnrrnrrrnnrrrrnr.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703545?\nAnswer: 3, 5, 17, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*l + 252 - 278, -2*c - l = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.5. Let j = 36 + -35.9. Let h = j + l. Is 0.6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*h - 13 = m - 11, 422*m - 423*m - 4*h = -2*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s - 54*s + 5*s**3 + 70*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 8*r = 0, 20 = -5*g - 4*r + 3*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 19273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*z + 7573 - 3369 + 5108 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104\/165 - 2\/55. Let x be 1 + -1 + (-66)\/45. Let q = n - x. Which is the second biggest value? (a) -4\/3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - n - 671 = -0*r, 3*r - 5*n = -532. Let j = r + 258. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*w**2 - 310*w**2 + 2*w + 7*w**3 - 1 - 2*w as z*w**3 + n*w**2 + j + l*w and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(-351)*(-3276)\/(-3906)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4*k - 1. Let x be a(-2). Suppose 123*y + 228*y + 1145 = -259. Let z(p) = 7*p**2 + 3*p - 5. Let s(j) = -6*j**2 - 2*j + 4. Give x*s(m) + y*z(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + t - 24, -4*o - 16 = -3*o - 5*t. Let s = -12 - -18. Suppose 10*a - 13*a - s = 0. Sort 1, o, a in descending order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(4*(0 + sqrt(448) + -4))**2*4.\nAnswer: -24576*sqrt(7) + 178176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1044 divide 6823584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426838163 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408450920 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*b**2 - 64*b**2 - 103*b**2 + 16*b as l + h*b**2 + o*b and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 9\/2*z**2 + 29*z - 2. Find the first derivative of p(u) wrt u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-64)*(9067 - 9055)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 9*p + 29 = -4*z, -5*z = -2*p + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -271*g - 3. Let t(b) = 130*b + 1. Give -15*t(y) - 6*w(y).\nAnswer: -324*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*q - 206*q - 304*q + 791*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 13. Let u be 5\/3 + 3\/m. Let p(l) = -17*l + 53. Let r be p(3). Solve r*s - u = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*b + 10*b**2 - 64*b)*(43*b**2 + 54*b**2 - 109*b**2).\nAnswer: -120*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -30. Let t(h) = h - 4. Let r be t(6). Let a = -0.085 + 0.285. What is the nearest to a in -3, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10))**38 assuming u is positive.\nAnswer: u**(-380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 6*k**3 - 4*k**3 + 5*k**3 to the form v*k**2 + x*k + c + i*k**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9 - 30. Let m be 2\/(-5)*(-2 - j). Let r = m + 11. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -20*n**3 + 2*n**2 + 30*n - 106. Determine p(3).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -595, -1.\nAnswer: -595, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (28372\/1903)\/(6\/(-33))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 5*j**2 + j**3 + 17 - 4*j + 8*j**2 + 4*j**2. Is 2 a factor of y(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -4*c + 40. Let b be (1\/(-2))\/(c\/86516). Let f = b - 1551. Calculate the common denominator of -73\/4 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 + (-7 - 1206\/(-189))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 - 2276*u**2 + 9152*u - 9168 = 0. What is u?\nAnswer: -573, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-3 - 52)) + -6. Let o be g\/10 - (5 - 108\/20). Solve 3 = o*y + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 612\/59, -4, 1 in descending order.\nAnswer: 612\/59, 1, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -320 + -191?\nAnswer: -4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 15. Let h be a(-8). Let f(c) = -8*c**2 - 16*c + 6. Let b(p) = -3*p**2 - 5*p + 2. Let z(m) = 11*b(m) - 4*f(m). What is the units digit of z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000001110010101 + 10?\nAnswer: -1101000000001110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-10)*4\/60*(-3)\/210*4\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/294*1*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + k = -203, 3*k + 1 = d + 85. Let j = 120 + d. Let s = 42 + j. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 12*p**3 + 14*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 37 + 155 = -15*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856880 to the nearest 1000.\nAnswer: -1857000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-494)\/(-39))\/((-10)\/15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -0.0606335017522?\nAnswer: 0.2606335017522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82 - e0?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 282558679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = a - 5*h, 32862*h - 32860*h = -0 - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8029 - 8012 + 85*u - 5*u wrt u?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m + 528 = -74*m. Suppose -o = -3*r - 30, 3*o - 8*o + 116 = 2*r. Calculate the highest common factor of m and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6*a = -2*a - 10, -5*a = -2*k - 6. Let y be ((-9)\/15)\/(k\/10) + 7. What is the highest common divisor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20392 divided by -8\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from sbssbasbbbssa.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.592 + 9.692. Let f = 0 + 1.9. Let g = f - 2. What is the nearest to g in 5, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 90*d - 2956. Determine s(17).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 3*h + 8. Let g(u) = -u**2 + u - 1. Let v(r) = 2*g(r) + n(r). Let p be v(-4). Let l(q) = -2 + p*q - 2 + 0*q. Calculate l(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -52)*-2*4\/16. What is the biggest value in i, -0.4, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Suppose -3*i = w*j - 2, 0*j + 4 = -2*j. Suppose u - r = -2*u + 262, -i*r - 247 = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 93*t + 22. Let h(q) = -23*q - 5. Let g(o) = 22*o + 53. Let c be g(-2). Let v(y) = c*h(y) + 2*s(y). Give v(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 - 243 - (4 + 36)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -34, -0.2, -946?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**2 + 216*s - 299. Let n(w) = -4*w**2 - 100*w + 150. Let b(x) = 2*h(x) + 5*n(x). Factor b(r).\nAnswer: -4*(r - 2)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3\/3 - 12. Let p(g) = g**3 - 3*g**2 - 2*g - 5. Let h be p(4). Let t(z) = -h*z + 2*z + 3*z. Determine t(s(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4*0)\/((-2)\/(-1)). Let s = -1 - -2. Solve o - s + z = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q. Let i(b) = -55*b**2. Determine d(i(j)).\nAnswer: -165*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.1323 + 0.0623. Let u = l - -29. Which is greater: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 23, 2, 104, 4 in ascending order.\nAnswer: -1, 0, 2, 4, 23, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 6*n - 1. Let d be v(-6). Let w(t) = -1 + 607*t - 189*t - 218*t - 197*t. Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392\/(-16)*942\/1099.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(105\/12)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**2 - 70*r - 12. Suppose -4*l = 24, 3*l = -120*i + 115*i - 73. What is g(i)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (5 + 17 + -8) - (-5 - (-25 - -4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = -353*j + 352*j, 4*g + 27 = -5*j. Sort 9, j, -52 in ascending order.\nAnswer: -52, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57*4358606.\nAnswer: -248440542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -503, -2092, -4771, -8540, -13399, -19348, -26387?\n\"Answer: -545*r**2 + 46*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30240 divided by -1680?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.3 - -10.7. Which is the nearest to m? (a) -2\/9 (b) -4 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-30) + (-2)\/(-1). Which is the nearest to 0.2? (a) -3\/8 (b) -0.7 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5) + -10 - -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-1 - -3)\/1)\/5. Let o(w) = -18*w**2 + 6*w**2 + 10*w**k. Let a(q) = q**2. What is a(o(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + v**2 + 7 - 7*v + v + 3*v**2. Give u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10194 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - ((20 - 9) + -13)) + (-2 - 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-2)\/4*2). Let n = r + 9. Suppose -8 + 4 = -n*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129713080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010298 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**4\/2 + 3837*r**3\/8 + 38829*r**2\/4 + 220257*r\/8 + 18306 = 0.\nAnswer: -16, -9\/4, -1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxdd when four letters picked without replacement from {d: 6, x: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -10, -3*j + 6*j - 4*d = 220. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 871.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -797*x - 499 + 15642 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2168)\/11924 + (-6)\/(-22)*(-6056)\/24\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 4577 + 4577.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k + 1. Determine u(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11110221 + 0?\nAnswer: 11110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kniikzzkdi. What is prob of sequence dn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -2\/9, 4, 0.0329, 22, -0.08?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let m be z(1). Let h be (1\/(-4))\/((-9)\/(-14)*(-56)\/128). Which is the biggest value? (a) 0.2 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9104 + -9996. Round y to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335066 is divided by 583702.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + 16. Suppose -5*p + 0*q = -q - 25, 3*q = -15. What is the second derivative of -6*o**5 + o**4 + o - y*o**p + 3*o**4 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 4*n + 143. Let c(h) = h**2 - 10*h + 18. What is the remainder when c(n) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -92*x - 2219. Determine y(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101982+-7246597\nAnswer: -7348579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + 9, 3*q - 2*a - 15 = 0. Suppose -q*d - 2*d = 220. What is the tens digit of 30*(d\/(-20) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:04 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 times -1.3369?\nAnswer: 90.9092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021111009 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1156 divide 274493848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.087 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(429\/26)\/(-11)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/342*-19*5865\/138.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 543 and 3439.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22313*z + 27855. Let g(i) = -4463*i + 5570. Let h(o) = -11*g(o) + 2*s(o). Differentiate h(j) wrt j.\nAnswer: 4467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 4*o + 2*o**3 - 7*o**2 + o. Let w(y) = y**3 - y**2 - y. Determine 6*w(i) - 2*z(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -700825 divided by -5?\nAnswer: 140165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.2. Let n be (168\/36)\/((-2)\/15). Let k be 10\/(-22)*(-14)\/n. What is the second biggest value in 1\/11, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 310*p + 372*p.\nAnswer: 682*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 0, 5 in increasing order.\nAnswer: -13, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g - 8*g + 7*g**4 + (-g**4 + 3*g**3 - 3*g**3)*(2 - 4 + 0) + 9*g**4 - 9*g + 9*g in the form h*g**2 + u*g + l*g**4 + i*g**3 + o and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 - -153. Let l = x - 64.9999875. Round l to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2472 + 2589.7. Let y = g + -117.70002481. What is y rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33072563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -31*r**2 - 8. Let s(z) = 10*z**2 + 3. Give -4*d(u) - 11*s(u).\nAnswer: 14*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 19*x + 0*x**2 - 10*x - 10*x + 9*x**2. Calculate q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 12*h**4\/7 + 75664*h**3\/7 + 9636604*h**2\/7 + 19046264*h\/7 + 9485312\/7 = 0.\nAnswer: -18526\/3, -128, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136.5 + 136. Which is the second smallest value? (a) 2\/13 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 488, 492, 496, 500?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 13*s + 331536 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -46*c - 3720. Determine g(-85).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z + 92. Let g = z - -87. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89*0.3\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-625*w + 369*w + 865*w)*(2 - 1 + 1).\nAnswer: 1218*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25914015345 and 2.\nAnswer: -25914015343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 354.435165 minutes?\nAnswer: 0.03516221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3116, -0.2?\nAnswer: -3116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15730780 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184834 take away 28908.08?\nAnswer: 155925.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*z**2 - 28190*z - 3760 = 0. Calculate z.\nAnswer: -2\/15, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -98887 * -0.04364\nAnswer: 4315.42868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 12:42 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37465 and 10.\nAnswer: 74930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.09 + -11. Let p = t + 6.91. Let u = 6.8 - p. What is the smallest value in u, 0, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/4 - 3*o**4 - 41*o**3\/4 - 19*o**2\/2 + 9*o + 14.\nAnswer: -(o - 1)*(o + 2)**3*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 34494513*c + 0.\nAnswer: -34494513*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 0 (c) -32735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 4554680.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 7. Suppose 5*j - 2*o + 34 = 1, -16 = 2*j + 2*o. Let h = 2 + j. Give s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -41. What is the nearest to 2.7 in f, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from xxxxxxxpxpppxp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*v - 15. Let t be 49\/(-5) + (-3)\/(-30)*-2. Is t != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 19*n + 1\/2*n**2 - 12. Is c(-10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 33. Let l = p - 38.48. Round l to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2338 + -2330. Solve 4*z + 2*n + y = -12, 3*z = -5*n - 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8618, -17257, -25932, -34655, -43438, -52293, -61232?\nAnswer: -70267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.46 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -58, -24, 3.\nAnswer: -58, -24, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 - 3*g**5 + 3*g**5 + g**5 + 4*g**4 - 4*g**4 + (0 + 0 - 2)*(3*g**5 - 2*g**5 - 2*g**5).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 606 and 3760634?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113937217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:27 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-41 - -42)*(-1 + 908)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 - 35*x - 17. What is i(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, h: 3}. What is prob of picking 4 f?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0 + 6*g + 17\/2*g**2 - 1\/12*g**4 - 5\/2*g**3. List the prime factors of a(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1524097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/p**4)\/p*p)\/p*p*(p*p*p**(5\/3)*p)\/p*p*p*p*(p\/(p**(3\/2)*p)*p*p)\/p*p**10 assuming p is positive.\nAnswer: p**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096691 rounded to 3 dps?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33052.248 rounded to the nearest ten?\nAnswer: -33050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/198 and -37\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100011010111000011 (base 2) in base 14?\nAnswer: 492827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43682 + -40382. What is the lowest common multiple of 150 and n?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28642886383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5247, -16751, -34509, -58521?\n\"Answer: -3127*l**2 - 2123*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(72) + -2) - (-5 + 0 + sqrt(72))*1)**2.\nAnswer: -540*sqrt(2) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 - i**4 - 5424*i**3 + 17177*i**2 wrt i.\nAnswer: -60*i**2 - 24*i - 32544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/1008 + u**7\/360 + u**6\/540 + 2*u**3\/3 + 3*u**2. Let r(k) be the first derivative of v(k). Find c such that r(c) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1203*t**5 - 2649*t?\nAnswer: -24060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*w - 568 - 42 = 300 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 7*u - 6. Let l(i) = -i + 1. Let k be l(6). Let y be g(k). Suppose -y*n + 14 = -6. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 7*w - 22. Let z(m) be the second derivative of -m**4\/6 + m**3\/6 + m**2 - m. Let y be z(w). Sort 5, y, -1 in decreasing order.\nAnswer: 5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 1439*o\/4 - 1077\/4.\nAnswer: -(o - 359)*(4*o - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 27*l**2 - 7*l - 166. Calculate o(-27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23.8952, -2\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 2*l + 6*l**3 - l**4 + 3*l**2 - 11*l**3 - 9*l**2 to b*l + c*l**4 + y + w*l**2 + j*l**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1400, 3, -2 in ascending order.\nAnswer: -2, 3, 1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4750 = -8*o - 2078. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/8 and -71\/164.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is dd1bc (base 14) in base 4?\nAnswer: 2002232102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173594 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16547074 (base 8) to base 12.\nAnswer: 135a310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**3*z**4 + 5*o**3*z**2 + 6*o*z**2 + 6*z**5 wrt z.\nAnswer: -120*o**3*z + 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12436 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258442*l + 258418*l - 516856*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223 + 409. Is 52 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -507 - -1439. Suppose -5*r + p = 3*l, -4*r - 1544 = -5*l - 3*r. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3565, -3569, -3577, -3589?\nAnswer: -3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270193199 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1036)\/21)\/(-1)*162\/(-216)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10344 > -10346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19662529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -41, 13, 125, 313, 595, 989?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -87*k - 22. Let j be 7\/(280\/(-24))*5. What is the units digit of m(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*((sqrt(1100) - (5*1*sqrt(1100) + sqrt(1100)) - sqrt(1100)) + 1 + -4))**2 + -4.\nAnswer: 9000*sqrt(11) + 990218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-6))\/((-3)\/9). Let n(g) be the third derivative of g**4\/6 - 5*g**3\/6 - g**2. What are the prime factors of n(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 12. Let k(z) = -5*z**2 + 22. Let t(v) = 10*v**2 - 43. Let h(d) = -7*k(d) - 4*t(d). Let b = 5381 - 5386. Determine b*h(j) - 8*l(j).\nAnswer: j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 20 + (15 - 19) + -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - -8 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 81, 184, 339, 552, 829?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n + 6*n + n - 13 - 15*n. Let k be l(8). Let v = 49 + k. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3035745 and 30510?\nAnswer: 6071490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 2*g + 1, 0 = -3*j - 5*g - 15. Solve j = 2*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -8, 0.\nAnswer: -8, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -235 >= -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10439716943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3 - 388*n**2 - 596*n wrt n.\nAnswer: -12*n - 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2773 and -2762 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764 + 664 = -195*s + 63 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-234)\/75 + 3)*18\/4671. Let m = 5188\/4325 - t. Factor -4\/5 - m*j - 2\/5*j**2.\nAnswer: -2*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1802, -3\/7.\nAnswer: -3\/7, 2\/3, 1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + 3*k**3 + 5*k)*(1 + 0 + 0 + (3 - 1 - 1)*(6 - 3 - 4) - 20 - 23 + 14) as p + g*k + n*k**2 + q*k**3 and give q.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60077, 243875, 550205, 979067, 1530461, 2204387, 3000845?\nAnswer: 3919835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + 3*u)*(2 - 1 - 2)*(23 - 703 + 291 - 552).\nAnswer: -941*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3) + sqrt(3) + sqrt(75)))**2 + (sqrt(5) - (3 + 2*sqrt(5))).\nAnswer: -142\/49 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30404 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -12\/7, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 3*h - 5*h. Let w(k) = 2*k**2 - 24*k. Let l(s) = 3*s. Let t(p) = 24*l(p) + 3*w(p). Calculate t(i(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 1 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 3*u - 14*m - 32, -3*m = -2*u + 3. What is the remainder when 16 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/((-1470)\/(-864)))\/(4\/(-14)). What is the greatest common divisor of n and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-6))\/((-8)\/1884 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -34.63. Let t = 0.07 - a. What is the closest to 1 in t, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 1\/3*f**3 - 109\/5*f**5 + 0*f**2 - 225 - 166*f + 1\/4*f**4. What is the third derivative of u(g) wrt g?\nAnswer: -2616*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*r - 3*n, -3*n + n - 2 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80556548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 - -11.95. Let w = 9 - l. Let y = -0.5 + w. Is -2\/9 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Suppose -3*z = l*w - 63, -4*z - 6*w + w = -84. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-420))\/(6\/5)*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a factor of 1971304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -6003, -1\/8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 plus 0.16?\nAnswer: 85.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -144. Let x be 5 - 2 - d - 0. Solve 7 = -x*m - 2*j, -5*j + 8 = -12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -1291, -2037, -2887, -3877, -5043, -6421?\nAnswer: -8047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8423*c**2. Let z(d) be the first derivative of -d**3\/3 - 1997. Calculate w(z(k)).\nAnswer: -8423*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -841 or -838?\nAnswer: -838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 i, and 1 q when four letters picked without replacement from {q: 1, k: 3, r: 4, i: 11}?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 609 - 605. Let l be (-3 + v)\/(-2 - (0 - 3)). Let y(s) = -s. Let t(d) = 4*d + 1. Calculate l*t(g) + 6*y(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00197669 rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393367 to the power of 1\/2, to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 156?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/(g*g*(g*g\/(g**1\/g)*g)\/g))))\/g)**(-46))**(-2\/7) assuming g is positive.\nAnswer: g**(-368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*y + 1490 = -56*y - 12703. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 33*i**3 + 20*i - 5. Let m(p) = -19*p**3 - 10*p + 2. Give 5*m(t) + 2*z(t).\nAnswer: -29*t**3 - 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/3 - 33778*s**2\/3 - 67562*s\/3 - 33782\/3 = 0.\nAnswer: -1, 16891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 17*z**4\/12 + 4*z. Let b(u) = u. Calculate w(b(l)).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 15*y**2 - 6. Let i(x) = -x**2 + 1. Let n(w) = -f(w) - 6*i(w). Let v(p) = 10*p. Give n(v(z)).\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**2 - 52*j**3 + j**2 + 54*j**3 + 5*j**3 - 3*j**3 + 0*j**3 + (0*j**2 - 5*j**2 + 4*j**2)*(-1 - j + 1) to a*j**3 + l + b*j + g*j**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 4. What is t(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (414\/(-2070))\/(2\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -439 - -444. Sort 4, y, -3, -10 in increasing order.\nAnswer: -10, -3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19467442 is divided by 7985.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:41 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1496 and 41174.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from jhaeavepp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(50) - -2*sqrt(50))*4 + (sqrt(1250) - sqrt(1250)*-2) + (-1 + sqrt(800))**2.\nAnswer: 95*sqrt(2) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/32 and -13\/144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14775 in -0.2, 6, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h - 4*t = -3420, -2*h + 1716 = -4*t. Calculate the remainder when h is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljwj when four letters picked without replacement from cllclcjlwlsc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14128, -37984, -71568, -114880, -167920, -230688, -303184?\nAnswer: -385408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 17463\nAnswer: 17463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-160)\/(-15))\/(12\/18). What is the third derivative of -171*l**3 - a*l**2 - 2*l**4 + 14*l**2 + 88 + 180*l**3 wrt l?\nAnswer: -48*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.8 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*b + 2*n - n - 263, -3*n = 2163*b - 2162*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 + -65. Calculate the common denominator of 110\/16*(-24)\/l and ((-9)\/6)\/(14\/(-18)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/132 and -85\/348.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-8) - 6\/(-4). Which is bigger: 9 or o?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -4611\nAnswer: -31\/4611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r**2 - 11*r - 1659. Let p(z) = -4*z**2 + 2*z + 331. What is -2*l(s) - 11*p(s)?\nAnswer: 2*s**2 - 323","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509706 is divided by 14991.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 1. Let m(i) = 22*i**2 - 2*i. Calculate m(w(q)).\nAnswer: 88*q**2 + 84*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05289 - 8.7.\nAnswer: -8.64711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(76)\/((sqrt(20)*-2 + sqrt(20))\/sqrt(5)) - (-1*(sqrt(1539) + -1) - sqrt(1539)))*-6*1)**2 + 3.\nAnswer: -1224*sqrt(19) + 197715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i - 2*l - 46, -4*l - 14 = -2*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.2 + 38. Let h = 3.2 + u. Let q = 0.11 + 0.89. What is the nearest to 1 in h, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(5\/(-5))\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -0.9.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93 in -1\/9, 0.5, -2\/13, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*c**3 + 41*c**3 + 9*c + 37*c - 3*c**3 wrt c.\nAnswer: 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.06 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -70. Let p be 7*(-3)\/y + 6\/10. Put -5, 0, -4, p in decreasing order.\nAnswer: p, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -75586?\nAnswer: -302344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -22.8. Let n = -5 - s. Let d = n + -0.7. What is the biggest value in -2, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 331510221 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 - 571 - (-8 - 55)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5679462*w**2 + 6179872*w wrt w.\nAnswer: 11358924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-66)\/44 + (-9)\/(-4)) - -50.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -9*t + 4*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11787, -11642, -11491, -11334, -11171, -11002?\n\"Answer: 3*y**2 + 136*y - 11926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04 + 0.04. Let k = f - -3. Let p = -1.6 + k. Which is the closest to 0? (a) 0.5 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199\/(-855) + 300\/13500.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 7*d - 1. Let r be i(6). Let q = 5 + r. Is (838\/4)\/(2 - 15\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w - 2*w)*(10 - 3 + 4 + 2*w).\nAnswer: -4*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -123. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6*(-8 + -1). Let l = -0.01 + 4.01. What is the nearest to 0 in c, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a centimeter in micrometers?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663 - 9*k**3 - 663.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (2 + -9 - (4 + -134)) + 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1369280949 to the nearest integer?\nAnswer: 37004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 11:11 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zym when three letters picked without replacement from {r: 8, z: 4, y: 1, m: 7}?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -7*s**6\/30 - 5*s**4\/12 + 3*s. Find the third derivative of x(u) wrt u.\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8495 + 20541. Let d = -397486\/33 + h. Calculate the common denominator of d and 61\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 960 - 468. What is the third derivative of 46*i**5 - k*i**2 + 595*i**2 + 59*i**5 wrt i?\nAnswer: 6300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -110?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30744 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*k**3 + 104*k**3 + 94*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from dddddyddydy?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 0*q + 5*t = 0, -3*q = 4*t - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142160900?\nAnswer: 2, 5, 7, 29, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825550 and 1100.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284*j - 6996 = 2295*j. Which is greater: -635 or j?\nAnswer: -635","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 48 + 40\/2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.041 + -4.959. What is the smallest value in -0.2, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12374310*r - 24748619. Calculate o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-52)\/(-91))\/(156\/(-42)). Which is the smallest value? (a) 0.2 (b) -3 (c) w (d) 3\/8 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3056)\/(-144) - 4\/(-54)*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2. Let i be ((-40)\/5 - -5)*2 - -8. Let h(j) be the first derivative of 0*j + 14 - 4\/3*j**3 + 0*j**i. What is y(h(o))?\nAnswer: 80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-5))\/(12\/20). Put 0, v, 1 in decreasing order.\nAnswer: 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(18\/4 - (-8)\/(-2)). Find the common denominator of 87\/2 and (n - 78\/(-4))*(-1)\/65.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 13732 = 57876. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:36 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 37. What is the units digit of t(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*z + 31*z + 8*z**2 - 6*z**2 - 19*z**4 - 35*z**4 wrt z?\nAnswer: -648*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.0292 + -0.0292. Are h and 0.14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/2 + 6*s**3 + 313*s**2\/2 + 150*s = 0. Calculate s.\nAnswer: -12, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 12*r**2 - 13. Let t(d) = -6*d**3 - 34*d**2 - 39. What is 17*s(c) - 6*t(c)?\nAnswer: 2*c**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 4*i + 4. Let t(s) = 5*s**2 + 9*s + 9. Let a(c) = -c**2 - 7*c - 2. Let j = -52 - -35. Let y = j - -11. Let d be a(y). Give d*t(v) - 9*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 440*t + 516*t - 781*t + (1 + 2*t - 1)*(3 + 1 - 3) + 0*t - 2*t + t in the form f + j*t and give j.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l + 86 = -19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60412906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 43666?\nAnswer: 43679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*w = 370*w - 43616 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 188*h + 5311. Let l be o(155). Solve 0 = 23*u - 12 + l for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23372 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 194*n**2 - 6*n + 13. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197681303526 less than 0.3?\nAnswer: 197681303526.3","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: What is 155 minutes after 10:38 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049995 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:00 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007330\/13 >= 231333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 711 = 22*a + 57*a. What is the remainder when 175 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.3347748 - -13.13478. Let p = 2.8 - j. What is p rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7708.\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 663 - 187. Suppose 514 = 6*a - d. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 - 3 - m**3 + 0 + 5*m**2 + 7*m. Let g be f(6). Let h be (-11 - -3 - -3)\/1. What is the third biggest value in g, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbi when three letters picked without replacement from gxggiliixibbibgi.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/12 + (-8)\/12. Let h = 2.51 + 0.49. What is the second smallest value in z, -5, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -43*w**6\/30 + 45*w**2\/2 + 41*w. Differentiate o(u) wrt u.\nAnswer: -172*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 13*x**2 + 2*x - 8. Suppose -2*g + m = -28, -52*g + 54*g - 34 = 4*m. Determine w(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125795509, 125795512, 125795515?\nAnswer: 125795518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -1, -1\/4, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 21*g**2 - 6*g + 14. Let m be h(-10). Let x = m - -31. What is the third derivative of -7*n**x - n**2 - 5*n**2 + 32*n**6 + 7*n**5 wrt n?\nAnswer: 3840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s*s*s**0*s*(s*s**(-1\/4))**8)\/((s**1*(s**(1\/3)\/s)\/s)\/(s**(-5)*s**7\/s)) assuming s is positive.\nAnswer: s**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -238.79220442?\nAnswer: 239.29220442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 10268, -1, -6 in descending order.\nAnswer: 10268, -1, -6, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271962509 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-4)*(-36)\/63. Determine y, given that 2*y**5 - 1 + 2*y**3 + 2*y**3 + 3 - 6*y**4 - 6*y + 4*y**o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -14417, 1, 0.4.\nAnswer: -14417, -1.5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 205115390 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -18 + 11 + 6*n + 3*n**2 - 26*n + 10. Let s be g(7). What is the third smallest value in -1\/5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4 - 92*n + 3 + 1 + 91*n. Let x be s(6). Suppose -5*q - 5*a = -a - 42, -x*a = -6. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0.169, -0.3, 4, -2 in ascending order.\nAnswer: -4, -2, -0.3, 0.169, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -870 and 8.55?\nAnswer: 878.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005277 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(4\/34 + 600\/(-1632)). Which is smaller: -3\/25037 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*18\/(-24))\/(-6) - 69\/60. What is the nearest to -2 in c, 4\/7, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 2*i + 3*i + (-88 + 59 - 3*i - 90)*(1 + 3 - 1))*(2*i - 3 + 3)*(-3*i - 2*i + 4*i) in the form b*i**2 + h*i**3 + q + j*i and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -77.875 > 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 397 - 408. Let b = f - -31. What is the remainder when 66 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 97) + (4 - 1). Is 2*-1*k\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.3 or 9.66?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149400860*x**3 + 19366655?\nAnswer: -448202580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19003238.\nAnswer: 2, 1777, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 2358*g**2 - 104326*g - 1596. Calculate p(828).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 498 - 82266?\nAnswer: -81768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*u - 150037 - 106183 = -1343*u for u.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1)\/(((-15)\/6)\/5). Let n(m) be the first derivative of 0*m + 1\/3*m**q + 5 + 2\/9*m**3. Factor n(l).\nAnswer: 2*l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -a83?\nAnswer: -a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527357259 by -3.\nAnswer: 175785753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*r**3 + 2 - r**4 + 3 + 201*r**3 in the form g*r**3 + h*r + u + q*r**2 + z*r**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6640.16nm in kilometers?\nAnswer: 0.00000000664016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 3. Suppose -16*o = -345 - 135. Let g be (24\/10)\/(o\/(-75)). What is z(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1.9, 2, -1\/377, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5433, -5438, -5445, -5454, -5465, -5478?\nAnswer: -5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*b + 19*b - 231 - 8*b)*(-4*b**4 + b**4 - 8*b**3 + b**4).\nAnswer: 10*b**5 + 502*b**4 + 1848*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*f**3 - 107*f**3 + 59*f**3 + (2*f**2 + 3 - 3)*(-3 + 3 + 2*f) - 2*f**3 + 3*f**3 - 3*f**3 + 10 - 4*f**3 - 10.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7126 and 9162?\nAnswer: 64134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3192, 6387, 9586, 12789?\nAnswer: 15996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 785\/4 - 196. Solve -1\/2*x + g*x**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 + 4*g**5 - g**5 + (2*g**3 - g**3 - 2*g**3)*(g**2 + 2*g**2 - g**2) + (0*g + 0*g + 2*g)*(0*g**4 - 2*g**4 - 2*g**4)*(-3 + 6 - 1).\nAnswer: -20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -42. What is the tens digit of (6*2\/q)\/(1\/(-67))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -3*b**3 + 3*b**2\/2 - 15*b - 2717. Let q(v) = 4*v**2 - v + 7. Calculate 3*i(p) + 7*q(p).\nAnswer: p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*t + 288*t - 583*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-140))\/((-1)\/(-25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lblbzblzllbzlvb. What is prob of picking 2 b and 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 190*o**2*r*x - 555517*o**2*x + r*x + 1968*r - 1 wrt r.\nAnswer: 190*o**2*x + x + 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/1 + 14\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**3*q - l**3 - 381*l**2*q - 1099*l wrt q.\nAnswer: -l**3 - 381*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/176*-3 - (-18)\/(-99). Which is the closest to -2\/7? (a) x (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + k - 4 + k**2 + 2 + 0*k to d*k + t*k**4 + o*k**2 + q + p*k**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -99*j - 699. Calculate n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 13 = -3*m + 108, 4*m = 4*j - 60. Suppose 2215*x + 32 = 2219*x. Calculate the least common multiple of j and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1373, -3489, -5605, -7721, -9837?\n\"Answer: -2116*q + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*d + 21 = 0, -2*d - 18 = -2*v - 6*d. Solve -2*s - 14 = v*u - 37, 5*u - 17 = 2*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -3, 46, 125, 240, 397?\n\"Answer: q**3 + 6*q**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*w - 29, 17*w + 5*r + 23 = 21*w. Solve 0 = y - 3*h + 6 + w, 0 = 3*y + 3*h - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2 - 108*g + 108*g + g**2. Let u(f) be the third derivative of f**4\/8 - 17*f**2. Determine u(z(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/4)\/d)\/d*d*d**5*d)\/(((d*d**(3\/4))\/d)\/(d**(-5)*d)) assuming d is positive.\nAnswer: d**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5900754*o**3 - 7035582*o**2 wrt o.\nAnswer: -35404524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 928.734ns?\nAnswer: 0.0000000154789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 3 + 7 + x**3 + 15.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9.3. Which is the third smallest value? (a) -3 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5 (b) -2\/325 (c) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46640267 (base 8) to base 9.\nAnswer: 21126883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 13*p + 50. Calculate s(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in -5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/3 + 29*x**4\/6 + 23*x**3\/3 - 431*x**2\/6 + 70*x = 0.\nAnswer: -4, 0, 5\/4, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -605. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13\/2, -0.07, -28?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7674)\/(-18) - (7\/3 - 2). Let i = 133 + 63. Let k = q - i. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-380)\/(-20))\/38)\/(1\/14) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/10 + (-2)\/(-5). Suppose 0 = 2*a - z - 0. Suppose 4*p - 1 = a*p + q, -4*q + 20 = 0. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4848 and 5353.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-110)*10\/(-4))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f - 480 = 149 + 592 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19200769 to the power of 1\/2, to the nearest integer?\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 37, 9, 466 in increasing order.\nAnswer: -15, 9, 37, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 - 250*t**3 - 255*t**2 = 0.\nAnswer: -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -13*f**3 - 6*f**2 + 4*f. Let t be h(5). Let y = -5210\/3 - t. What is the common denominator of y and -12\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.577795462 to 3 decimal places.\nAnswer: -0.578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1043)\/(-596)*((-16)\/2)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from gegeegbb.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138.69 + 134.69. What is the nearest to -32 in m, -2\/3, -4\/7, 0.06?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -131238*g**3 + 3*g**2 + 4*g + 1. Let p be b(1). Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*50\/(-45) - 4\/(-6). Suppose 11 = -w + h. Let o(y) = 1 + 7*y**2 + 10 + y**3 - 4 + 2*y. Calculate o(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 52, -7 in decreasing order.\nAnswer: 52, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -277148*a. Let l(f) = -343*f. Determine -3231*l(w) + 4*s(w).\nAnswer: -359*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29400, -29400, -29398, -29394?\n\"Answer: b**2 - 3*b - 29398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.76 and 6.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/((-4)\/(-2)). Suppose d = 4*w + 1 - r, -5*w = 4*d - 25. Suppose -3*s = -3*i - 2*s + 6, 0 = d*i + 4*s - 10. Solve 2*z + i*z = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*a**3 + 90\/7*a**2 - 90 + 543\/7*a = 0. Calculate a.\nAnswer: -6, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 94\/559?\nAnswer: 94\/559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 109*z**3 - 1632*z**2 - 44*z - 27. What is b(15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 15. Suppose -3*g = -f - 3*f + 33, 5*g = 3*f - 33. Let b be 3 + 0 + 12\/f. Sort b, m, 1 in decreasing order.\nAnswer: b, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + v + 23, 3*r + 51 = 3*v. Let j = r + 49. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000784205 to 6 decimal places.\nAnswer: -0.000784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = -62*x + 24*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, u: 1, p: 3, g: 1, o: 3, v: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-39 + (52 - 18 - 20) - -19).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 2*b + 7*b - b. Suppose 0 = -5*o + n + 17, 3*o + 2*n = 6*o - 13. Calculate the remainder when 9 is divided by w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645693392 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 13*x + 3*x. Let m(n) = -2*n**2 + 26*n + 29. Let g be m(x). Which is the closest to g? (a) -0.5 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 10005200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -9) + (-6 - -12) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let i(r) = 27*r + 6. Let f(q) = -i(q) - 6*v(q). Let k(o) = o. Give k(f(y)).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7836 = 4*r - 0*f + 4*f, 2*r = 2*f + 3922. Suppose 9*k + r = 4660. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 216 - 1679. Suppose 4*i - l - 263 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346667 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 13902864.\nAnswer: -695143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -43, -3 in descending order.\nAnswer: -3, -43, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(65)*1)\/(sqrt(180)*3) + -2 + -3.\nAnswer: -5 + 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 34424.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 290940 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 2, o: 2, v: 8}. Give prob of sequence kk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161 to the nearest 10.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17714 is divided by 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsbsscbqsvsvvvqbss. Give prob of picking 2 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320934 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-7)\/l))\/l**(-2\/21)*(l*l**3\/l)**(-1\/3))**22 assuming l is positive.\nAnswer: l**(3740\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 6*s - 7. Let c be p(7). Suppose c = -0*w - 3*w. Sort w, -5, 2 in ascending order.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/481570 and -43\/37755088.\nAnswer: 188775440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60793?\nAnswer: 60793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 504 = -44*c - 40*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 9. Let o be q(-7). Suppose 0 = 6*x - o*x. Suppose -c + 2*a + 7 = 0, 6*a - 2*a = -5*c + 7. Solve x = w - 1 - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 896 divided by 485\nAnswer: 896\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/248245 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 381?\nAnswer: 16\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*j**5*q**2 + 2*c*j + 14*c*q**2 + 69*j**3*q**2 + 2*j**2 + 2*q**2 wrt j?\nAnswer: 120*c*j**2*q**2 + 414*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*j - 927 = -3*j, -1386 = -3*s + 3*j. Calculate the greatest common divisor of s and 1071.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeev when four letters picked without replacement from {e: 3, v: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1037*b. Let y(z) = 6*z**2 - 2. Let w(r) = 14*r**2 - 5. Let l(f) = 2*w(f) - 5*y(f). Give l(j(k)).\nAnswer: -2150738*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27*8\/144)\/(-6))\/((90\/10)\/(-3060))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -3 - (-1 + 3)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11620 by -2324.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 105*b**3 - b**2 + 1. Let d be i(1). Suppose -4*o - 25 = -d. Solve 0 = -2*r - 2*r - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 80 - 159 - j**2 + 79. Let y(u) be the first derivative of 2*u**2 + 6 - 3 - 2. Calculate y(i(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -9)\/(1\/1). Suppose 0 = t - 14 - 8. Suppose 0 = -a*g + 206 + t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - 21. Let s = n - -65. Solve -2*u = 3*t + 1, -t + 5*u = -3*t - s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980*o**3 + 477*o**3 + 397*o**3.\nAnswer: -106*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 1 - 8 + 10 + t**2 + 2. Calculate x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3961*c**3*j + 3*c**2*j + 73888*j wrt c?\nAnswer: -11883*c**2*j + 6*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.457234 + 0.157544. Let a = l + 1.3. Round a to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -79, 5\/16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, 3, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 7*r**2 + 6*r. Let f be ((-4)\/6)\/((-8)\/72). Let a be z(f). Solve 3*o + a = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3867 + 17*a**2 - 3867.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*m - 1006, -2245 - 823 = -3*i + 5*m. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1545, -3423, -5631, -8169, -11037, -14235, -17763?\nAnswer: -21621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t - 1. Let j(f) = f**2 - 14*f + 30. Let m(u) = -6*u - 1. Let b be m(-2). Let r be j(b). What is z(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/15 + 40582888*q\/15 - 205871349802568\/15 = 0. What is q?\nAnswer: 10145722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**2. Let w(r) = -26*r. Calculate w(x(u)).\nAnswer: -260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/20*125\/(-100)*(-15)\/10\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**6\/40 + f**5\/30 - f**2 - 1. Let c(u) be the second derivative of w(u). What is the third derivative of c(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77583?\nAnswer: 3, 11, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22811172.\nAnswer: 2, 3, 19, 100049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*z - z**3 + 31*z + 52*z)*(-2 + 4 + 2) to the form i*z**3 + h*z**2 + n*z + s and give n.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533 a factor of 1560594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 83*t**2 - 728*t + 32. Give l(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2 - 6*m**3 + 64*m**3 + 2*m + m**2 + 60*m**3 wrt m?\nAnswer: 708*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1313*d. Let c(j) = -111*j**2. Give c(q(l)).\nAnswer: -191360559*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from qeqfef?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 + 6. Let s be -55 + 54 - (-14)\/2. Let x(z) = 11*z**2 + 13. Suppose 4*i - 2*d + 46 = 0, 3*i + 2*i - 2*d + 59 = 0. Determine i*c(l) + s*x(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749, 546, 337, 122, -99?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35\/253 + 2\/11. Let o = -75 + 76. Which is bigger: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963.5284 minus 2876462?\nAnswer: -2871498.4716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(156) - (1*sqrt(156) + sqrt(156))) + sqrt(156)))\/(sqrt(60)\/(sqrt(5) + (sqrt(80) + sqrt(80)*-1 - sqrt(80) - sqrt(80) - sqrt(5)))).\nAnswer: -64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-1\/2))\/t)\/(t*t**3))\/(t**(1\/14)\/t**(3\/7)))**(-1\/6) assuming t is positive.\nAnswer: t**(29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9559656 tonnes to milligrams.\nAnswer: 955965600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 8*g + 13. Let q be u(9). Suppose v - q = -v. Suppose 6*w = v*w + 800. Round w to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, d: 1, r: 2, n: 6, x: 3, c: 1}. Give prob of sequence mcnm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13703, -13734, -13779, -13844, -13935, -14058, -14219?\n\"Answer: -o**3 - o**2 - 21*o - 13680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 - 4*t - 5. What is the lowest common multiple of d(6) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ivoioirvivlivii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79928.\nAnswer: 2, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from msmjjs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 280. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.594 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3114, -3110, -3104, -3096?\n\"Answer: g**2 + g - 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 240\/840 + (-12)\/(-7). Let x(z) be the second derivative of -1\/30*z**4 + 0 + 1\/100*z**5 + 9*z + 1\/30*z**3 + 0*z**k. Solve x(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -107, -54, 139, 520?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -459 divided by 2\nAnswer: -459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622 divided by -6.\nAnswer: 311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.6 (b) -0.038 (c) 0 (d) -306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -412 + 392. Let n = u - -19.9. Which is the closest to 1\/2? (a) n (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 9*x**2 - 7*x + 11. Let y(n) = 9*n**3 - 2*n + 1. What is the smallest common multiple of y(1) and a(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (173016\/48)\/(-81) - -18.\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3632 and -157\/20430?\nAnswer: 163440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642\/12 - 3\/(-2)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040534299 to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -899, -4018, -9181, -16388, -25639, -36934?\n\"Answer: -1022*p**2 - 53*p + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 11, -0.08 in decreasing order.\nAnswer: 11, -0.08, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.008 - -0.008. Let v = 534.3 + -534.4. Which is the nearest to v? (a) r (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 5. Let c be a(3). Suppose k = 2, -c*p + 0*p = -2*k - 38. Calculate the greatest common factor of 63 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18135*u - 9080*u - 9069*u - 4.\nAnswer: -14*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-3)*(-6)\/4. Let s be (-6)\/(17\/l + 3). Suppose -4*x = -4*o + 28, -s = o - 3*o + x. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13760 = -12*x - 4244. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42113860071119*k - 119*k**3 - 42113860071119*k.\nAnswer: -119*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 9*o + 13. Let z(c) = -9*c**2 - 17*c - 25. Let w(g) = -11*b(g) - 6*z(g). Give w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*3*((-1640)\/41)\/1400.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26b5 (base 14) in base 4?\nAnswer: -1222213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 18. Let s = 9 - x. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 3*u**2 + 2*u - 1. Let v be o(-4). Let n(j) = 3 - j + 6 - 1 + 2. Give n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**2. Let b(z) = 3574127*z. Give b(s(p)).\nAnswer: -35741270*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*a**5 + 2 - 30*a**5 + 33*a**5 + 0*a**5 + 5*a**5 - 3*a**5 + (0 + a + 0)*(3*a**4 + a**4 - 2*a**4) - 4*a**5 + 4*a**5 + 2*a**5 - 3 + 2*a**5 + 3.\nAnswer: 34*a**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/15*30\/9. Suppose -3*y + d = -5*y. Let b be 1\/(y\/((-2)\/5)). Is b >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224539605 by -9.\nAnswer: -24948845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m - 3*m)*(0*m**3 + 4*m**3 - 7*m**3) + 8*m - 8*m + 9*m**4.\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (8 - 10)) + -6 + -32?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*w**2 + w**2 + 28*w**2 - 12*w**2 to the form y*w**2 + b*w + k and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z**2 + 25*z + 34. Let w(k) = -3*k**2 - 8*k - 11. Let g(i) = -2*d(i) - 7*w(i). Factor g(y).\nAnswer: (y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 66920.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8557.397g to milligrams.\nAnswer: 8557397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89\/3 - -29. What is the second smallest value in -5, b, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1376577 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*a = 46, -47*v = -48*v - 5*a - 26 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-349 - -377) + (10 - (0 - 3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 284966, 569957, 854968, 1139999?\n\"Answer: 10*f**2 + 284961*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/8*(-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p**2 - 2*p - 3. Let r = 5 - 2. Let t be o(r). Suppose -t = -s - 4*s. Calculate the least common multiple of 6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -3, 3, 22257, -4 in ascending order.\nAnswer: -11, -4, -3, 0, 3, 22257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.25 times 1?\nAnswer: 7.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -16. Suppose -u + 22 = -c + 4*u, -d*u + 34 = 3*c. Suppose c*r + 70 - 196 = 0. Calculate the greatest common divisor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 3919429?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/20*(2 + -2 - -2). Which is the nearest to w? (a) 6 (b) 1\/13 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371122 (base 13) to base 6.\nAnswer: 44113304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 8*x**2 + 3*x - 7. List the prime factors of k(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -7*a**5\/60 + a**3\/6 - a**2 - 10. Let n(v) = -3*v**2. What is r(n(l))?\nAnswer: -63*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(9\/10)*(l\/(l*l\/l**31*l*l)*l*l)\/l*(l\/(l\/l**18))\/(l*l**12) assuming l is positive.\nAnswer: l**(349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -1) + (550 - 558)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (968\/(-1089))\/((-14)\/(-27))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 82 + 67 + f + 3*f**2 - f + 0*f**2 - 8*f. Determine x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/56)\/((9\/864)\/(15\/(-1100)))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 = 3*n + 2*u, -4 = 5*u + 21. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694355.4ng in milligrams?\nAnswer: 0.6943554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 + 1077*t\/2 - 1083.\nAnswer: 3*(t - 2)*(t + 361)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*j - 610 + 232. Let y = 8 - 4. Suppose y + 6 = 2*x. Solve j = -5*q - 3*z, 10 + 1 = -x*q - 2*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -32676?\nAnswer: 196056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 13*g = 90. What is the least common multiple of g and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:38 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369968319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -41*l + 35. Let w(h) be the first derivative of h**2 - 9010. Calculate q(w(k)).\nAnswer: -82*k + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -12 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, -26, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 630, 10171, 19712, 29253, 38794, 48335?\n\"Answer: 9541*a - 8911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/6 - 19*r**2 + 20707*r\/6 - 13490 = 0.\nAnswer: -213, 4, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 3*b - 5. Let w be m(-5). Suppose w*x - 12 = 13. What is the third derivative of 2*p**2 - 2*p**5 + 3*p**x + 0*p**5 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 + 237. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4450 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o**2 - 95*o + 96. Determine m(-11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/27)\/g**5)**(25\/6)\/((g\/(g**(2\/3)*g))**(13\/3)*((g*g**(-2))\/g)\/g*g*g**(-2\/3)) assuming g is positive.\nAnswer: g**(-2425\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -87990 >= -87988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**2 + 4*v**2 + 22*v**2 + 79*v**2 + (9 + 6*v**2 - 9)*(2 - 2 + 2) in the form n + x*v + d*v**2 and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112029 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.7 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0 + 0)*(0 - l**2 + 0) - 2*l**3 - 5*l**3 + 3*l**3 + (-6*l - 4*l**3 + 6*l)*(-3 + 7 + 0 + (-1 - 2 + 0)*(-2 + 1 + 3) - 4 + 5 - 4).\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 1. Calculate y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 26*m**2 - 56*m + 32. Does 20 divide w(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1510 + 1514. Let b(n) = 63*n**3 - 15*n**2 - 15*n. Let y(c) = 9*c**3 - 2*c**2 - 2*c. Determine z*b(k) - 30*y(k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(832) + 0).\nAnswer: -4 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 188*i - 51.\nAnswer: 188*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 18 - 48. Solve 1 = -4*z + 2*b - 1, 3*z + k*b = 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-15) + -1)\/((-4)\/(-20)). Suppose -3*f - 3*a = -7*a - 14, d = -4*f - 5*a. Suppose -6*j + 4000 = -f*j. What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 404*q**2 + 8908*q - 359. Determine s(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3205 - -3230. Put 3, i, 6 in decreasing order.\nAnswer: i, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + g**2 + 3*g - 33 + 29 to f*g**2 + s*g + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2570*a - 1. Let c(l) = 5142*l - 2. Calculate -3*c(j) + 5*w(j).\nAnswer: -2576*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 80*c - 3586. Let g be j(45). Let n = -3 + 4. Let m be (-155)\/(1\/(-1)) - n. What is the greatest common divisor of g and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3823042.55 + -46811.\nAnswer: 3776231.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from {x: 2, m: 1, u: 1, e: 2, a: 2, i: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -6*s. Let h(x) = 4*x**3 - 5*x**2 + 5. Let u(c) = -c**3 + c**2 - 1. What is s*h(r) - 5*u(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (0 - (-6 - 9) - 35)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**3\/2 - 38*j**2 - 95*j\/2 - 14.\nAnswer: -(j + 1)*(j + 7)*(9*j + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 - 4*c**2\/9 - 2*c\/9 + 4\/9.\nAnswer: 2*(c - 2)*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 3bb28?\nAnswer: -3bb20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26654890?\nAnswer: 2, 5, 179, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -48462?\nAnswer: 48472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 6. Is 4 a factor of f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3528\/(-63))\/((-49)\/(-42)*-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 117386380 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**3 - 3*t**3 + 3*t**3)*(-4*t + 2*t + 3*t + (39 - 10 - 13)*(-3 + 3 + 2*t)) to the form n + j*t + g*t**3 + s*t**2 + l*t**4 and give l.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:59 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 190794 (base 10) to base 12\nAnswer: 924b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/12389111 and -33\/3094.\nAnswer: 5475987062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1979 and -0.7.\nAnswer: -0.13853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*n, 2*x - n = -5*n + 340. Let d be (x\/3)\/(4\/36). Let r = -319 + d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n - 3. Let q be d(1). Let f be 46\/q - (-21)\/7. Suppose i = 2*j - 5*j + 26, 5*j - 4*i - f = 0. What is the remainder when 41 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1063*r**2 - 76*r + 297. List the prime factors of c(5).\nAnswer: 2, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32230?\nAnswer: 2, 5, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from zeamqef.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 3*n**2 - 4*n**3 + 218*n**4 - 121*n**4 - 99*n**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003002 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -403*t - 4964. Give k(-12).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 + 312 - 70 = 39*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1052874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2))**2 + -3 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/6*552\/23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuu when four letters picked without replacement from uucuccuuucuc.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77703, -155405, -233123, -310857, -388607, -466373?\nAnswer: -544155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**3 + 0*v**3 + (-v**2 - 5*v**2 + 2*v**2)*(-v + 2 - 2) + (1 - 3 - 1)*(-3*v**3 + v**3 - 6*v**3).\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -39 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v - z + 22 = 31*v, v + 5*z = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38338389.\nAnswer: 3, 509, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 + 3*f + 62. Let g(h) = -h**2 - h - 12. Let x(v) = -11*g(v) - 2*s(v). Let o be x(-4). Solve o = 3*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r - r)*(8*r + 17 - 17)*(-72 + 21*r + 73 + 10*r).\nAnswer: -992*r**3 - 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*-1)\/(sqrt(18)\/(sqrt(18)\/sqrt(3))) + -1.\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 1\/5*s**5 - 5*s - 2\/3*s**3 + 1\/3*s**4 + 0 - 2*s**2. Factor q(w).\nAnswer: 4*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + (-240)\/(-7). Suppose 4*a - o + 2 = 0. Suppose -4*b = t + 2*t - 23, -b + a = t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/(3\/(-27)). Suppose 4*m + 65 - 181 = 0. Let w(b) = -b**2 - m + 10 + 16 + 2*b. Calculate w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8 - 0. Solve 0 = b - 4*a + 4, 0 = s*b + 2*a + 3*a - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(2 + -3)*1. Let z = -536 + 532. Which is the closest to 0.3? (a) z (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154129.83 hours in days?\nAnswer: 6422.07625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3153 or -3152?\nAnswer: -3153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359310496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -2 - (-11 + 11). Sort -4, 10, q, 4 in descending order.\nAnswer: 10, 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 255851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1)*-6*1 + -2.\nAnswer: -6*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = -0*i. Suppose i*h = 15 - 7. Suppose 2*r - 4*v = h*r - 6799996, 0 = -4*r + 4*v + 13600004. What is r rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2 + -1)*(-12)\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110110110?\nAnswer: 110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100142 + -111?\nAnswer: 100031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3\/7 (c) 2803 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115829 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1044\/27)\/(4\/18). What is the highest common divisor of n and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 r when four letters picked without replacement from ooooooooooorooorror?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2914 + -2864. What is the smallest common multiple of a and 62?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/(-10)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x, -4*y - 16*x = -18*x + 100. Let v be -4*(-12)\/(-120) - y\/5. Solve v = 8*z - 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 4*z = -36*f - 9727, 0 = 4*f - 5*z - 38842. What is the highest common divisor of 626 and f?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**5\/5 + 33*v**4\/16 - 5*v**3\/4 - 3*v**2\/4 + 99. Find k, given that i(k) = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 191, 6\/7, 1, 2?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1.6759361\nAnswer: 0.67037444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 - 4*o + 9. Let h = 50 + -21. Calculate the remainder when a(6) is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.5, 0.5, 354\/23, 2\/7?\nAnswer: 354\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14681, -14447, -14211, -13973?\n\"Answer: l**2 + 231*l - 14913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885007?\nAnswer: 401, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 + 167*v**2 + v**3 - 160*v**2 - 5*v + 0*v**3 + 2. Let z(f) = f**3 + 8*f**2 - 6*f - 1. What is 6*g(r) - 5*z(r)?\nAnswer: r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -33, -10 in descending order.\nAnswer: 3, -4, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15895*o + 15875*o = 220 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 122 = 4*w, -13035 = -18*c + 3*w - 13224 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 121 - 1812 - 967. Calculate the greatest common factor of p and 660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4174581 litres to millilitres.\nAnswer: 417.4581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.673378 rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -2327.725.\nAnswer: -2327.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 137 = -91. Calculate the greatest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {o: 11, w: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258 - 177. Let f = s - 83. Which is the second biggest value? (a) 0.1 (b) f (c) -0.5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:38 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/48 - p**5\/12 - 31*p**2. Determine t so that z(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b52 + -3?\nAnswer: 6b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4659659 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07006 + -0.42994. Let t = -113\/4 - -28. Which is the closest to 0.1? (a) t (b) r (c) -1.6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:17 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3644 - -3645. Let a be (-7)\/(-2)*4\/7. Solve 3*n + 3*d - a - 1 = 0, d = 2*n + z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.8. Let v = k - 0.4. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1125 + 1124. Which is the smallest value? (a) w (b) -1\/6 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - -10201?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 + 1 - 5*t + 2*t**2 + t**3 - 3 + 3. Determine l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343.4 * 40.127\nAnswer: -13779.6118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.304 minus -38800?\nAnswer: 38800.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/12 - 4*o**3\/3 + 4*o**2 + 19*o. What is j(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3 - 1253970*y**2 + 10031817*y - 8777846 = 0.\nAnswer: -1253978, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -40 - (-267 - -193)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 506\/(-598)*(-4)\/(-66)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -18306 (c) 2 (d) 1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 18104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 23*f - 42. Let p(g) = -37*g + 64. Let c(n) = -5*p(n) - 8*w(n). Suppose b - 7 = 2*b. Give c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -80.2. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 + 4. Suppose 105*n - 60 = 108*n. Let j(u) = u**2 - 1. Calculate n*j(i) - 5*q(i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -69, -159, -293, -477?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 443, 442, 441, 440, 439?\n\"Answer: -m + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 7. Let i be c(-7). Let u(v) = 14*v**2 - 20*v + 147. Let s(t) = 5*t**2 - 7*t + 49. Let x(z) = -17*s(z) + 6*u(z). Is x(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) 0.5 (d) 0.27 (e) -17 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 36*z**2 + 10*z - 70. Is 9 a factor of j(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1309, -1313, -3935?\n\"Answer: -2622*w + 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 171 - 1b?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i - 4*d + 12, -26 = -3*i - 4*d. Suppose -2*c - 27*k = -23*k - 4362, 2*k = i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u + 8*u - 30 + 35*u + 9*u - u**2 + 0*u. What is the hundreds digit of i(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l**2 - 21*l - 6*l**2 - 5*l**2 - 1 - 9*l**3 + 18*l**3 as t*l**2 + u*l + m*l**3 + c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j + 1. Suppose -4*z + 4*i = 23 - 71, i = 3. Let d(q) = -9*q**3 + 15*q**2 - 15*q + 15. Give z*h(g) - d(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28947601 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = o + 297, 4*k = -4*o - 1208. Let r be (-6)\/15 + o\/(-5). Let t = r + -18. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a77 (base 12) to base 8.\nAnswer: -2773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000000000111 (base 2) to base 5.\nAnswer: 230244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*j = -4, -3*p - j + 3 = -6*p. Let n(s) = 11*s**3 - s**2. Give n(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 829? (a) -0.2 (b) 5 (c) 1 (d) 291\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 181571 - 181571.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105524385.\nAnswer: 3, 5, 19, 370261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = s + 18562, 5*z + 3*s + s - 18552 = 0. Suppose 9*j - 4*j + z = 2*u, -5*j = -3*u + 5573. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*l**3 + 771*l**3 + 404*l**3 - 272*l**3.\nAnswer: 1260*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17968052 is divided by 8984019?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5728434?\nAnswer: 2, 3, 167, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 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: Let m(y) = -y**3 + 13*y**2 + 32*y - 35. Calculate m(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 + 177. Which is the closest to j? (a) 0.5 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in -5, 1\/7, 109, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 5, -1, -3, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.32 - 2.68. Which is smaller: r or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19581\/556 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*r - 16*r - 21*r**5 - 22*r + 33 - 2 wrt r.\nAnswer: -420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9*a**2 - 13*a - 5. Let h be f(6). Solve 40*u - h*u + 90 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttlttl. Give prob of sequence lt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7 + 3, 28 = -4*t + 4*r. Suppose o = -n + 69, -n = -4*n - 6. What is the remainder when o is divided by (-24)\/t*(-2 + 7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16988 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 33 = 7*o - 107, -3*j + 4*j + 4*j + 13 = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141262976527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**3))**(-6\/13)\/((a*a**(-2\/27))\/(a\/a**15)))**10 assuming a is positive.\nAnswer: a**(-57250\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.128884um to nanometers.\nAnswer: 128.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15632*n - 323 + 37 = 15645*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.21349 centuries in millennia?\nAnswer: 1.621349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*h + 18900 - 74169 = 38*h for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*1 + sqrt(187))\/(sqrt(132)\/(sqrt(48)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 239, 140, -243, -1054, -2437, -4536, -7495?\nAnswer: -11458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 14*k**4\/9 + 6*k**3 - 1394*k**2\/9 + 386*k - 52 = 0.\nAnswer: -13, 1\/7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -6, 32, 3, -1, 85 in increasing order.\nAnswer: -6, -1, 2, 3, 5, 32, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(j - j + 3*j)*(2 - 2 + 2) + 0 + 0 + j + (2*j - 2*j + 2*j)*(3 - 1 - 1) + 3 - 3 - j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 - o - 5. Let t = -24 - -30. Let q(i) = -i**3 + 5*i**2 + 7*i - 3. Let h be q(t). Does 14 divide u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 divided by 1?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 110863 - 10737 - 88800 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 2956. Let a(t) = 21660*t. Give r(a(d)).\nAnswer: -21660*d + 2956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 925*x**3 + 1040*x**2 + 20*x. Let q(y) = -308*y**3 - 346*y**2 - 6*y. Let v(k) = 3*c(k) + 10*q(k). What is the third derivative of v(j) wrt j?\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/(i*i*i**(2\/11)\/i*i))*i*i)))**(-24\/11) assuming i is positive.\nAnswer: i**(-1104\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 690 times 1\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**6\/36 - 11*s**5\/40 + s**4\/4 + 23*s. Let z(o) be the third derivative of q(o). Differentiate z(l) with respect to l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282199.\nAnswer: 29, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17601 - -0.6\nAnswer: -17600.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30964411*c**3 - c**2 + 126700.\nAnswer: -185786466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x. Let p(t) be the second derivative of t**4\/3 - 59*t - 2. Determine m(p(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.5, -31\/3 in descending order.\nAnswer: -1, -1.5, -31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*q + 21, -5*q - 106 + 56 = -5*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 563892170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20b5 (base 15) in base 9?\nAnswer: -10438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3684912 is divided by 23928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19957221.\nAnswer: 3, 809, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:15 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 11 + 77 = 0. Suppose -13*f = -2*f - u. What is the closest to -1 in -3, f, -5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 42715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348442, 1393762, 3135964, 5575048, 8711014?\nAnswer: 12543862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2432 = -3*q - 7*q + 55222. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/9*18\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 11:07 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/1140*b**6 + 1\/190*b**5 - 1\/57*b**4 + 0 + 0*b**3 + 0*b + 12*b**2. Factor l(c).\nAnswer: 2*c*(c - 1)*(c + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*b + 9 = -w, 5*b = w + 19. Suppose -5*s - 4*l + 55 = 0, 4*s + 2*l = 16 + 34. Suppose s = 4*z + 7. Solve w = -3*v + z*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:46 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1647, -1631, -1581, -1479, -1307, -1047?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 5195, 2\/21, 5 in descending order.\nAnswer: 5195, 5, 2\/19, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*u - 238*u = 298*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 l when three letters picked without replacement from leieneelieelllt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 3*h**3 - 23*h**3.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55983 rounded to the nearest 100?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 6*t**2 + 4*t - 15. Let x be b(6). Let w = x - 127. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.68 to zero dps.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2831307 from -0.09366.\nAnswer: -2831307.09366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23865.\nAnswer: 3, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o**2 - 2*o)*(-3*o + 3*o - 3*o**2) + 2 - o**4 - 7*o**2 + 2*o**3 + 7*o**2.\nAnswer: -7*o**4 + 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7456307.5616 - 7.14.\nAnswer: -7456314.7016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -141900000 to the nearest 1000000.\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221031 (base 6) to base 7.\nAnswer: 104404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -22*g - 2. Calculate d(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - 22*i - 4. Let p be q(-5). Which is the nearest to p? (a) 0 (b) 0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 181607628*c\/7 + 4122666318473298\/7.\nAnswer: 2*(c + 45401907)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*h + 16 = 4, -3*j - 4 = -5*h. Suppose -3*y - 4*u = -18, u = j*y + 2*u - 12. Let p(z) = z + 5. What is the remainder when p(6) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 995 and 37495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -242*f**3 - 2*f**2 + 71*f + 347. Is 297 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**8\/28 - 111*y**7\/70 - 2*y**6 + 27*y**5\/20 + 29*y**2. Suppose v(h) = 0. Calculate h.\nAnswer: -27, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -7 - 9 - (2 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010221020 (base 3) in base 10?\nAnswer: -22551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -10.8. Let u be -1 + (-4)\/(-24) + 1. What is the second smallest value in u, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9841 is divided by 7528.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277847\/18 - 15432. Let s = -6234 - -62237\/10. What is the common denominator of s and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8537352154?\nAnswer: 2, 733, 5823569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h. Let q(t) be the third derivative of 0*t**4 + 0 + 1\/120*t**5 + h*t - 1\/12*t**3 + t**2. Factor q(z).\nAnswer: (z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhzzzjzhyhnhhz. Give prob of picking 1 n, 1 z, and 1 h.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32746885777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5640972745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let n(o) = -216*o - 12. Let g(k) = n(k) + 9*q(k). Let l be g(-5). Round l to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150 - 121. What is the second derivative of -43*o**3 + 28 + 30*o - 57 + b wrt o?\nAnswer: -258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 - 0.37. What is the smallest value in v, 2\/11, 0.07?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 11*s - 1. Suppose -153 + 173 = 5*o. Let j be w(o). What is the highest common divisor of j and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.2, 9\/2, 90, -1\/12, 2, 22?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103960 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(22\/(-4) - -2). Let i = 20 - j. Let d(h) = h**3 + h**2. Let g(k) = -4*k**3 - 11*k**2 - k - 1. Let l(x) = -5*d(x) - g(x). Give l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 p when four letters picked without replacement from {f: 12, p: 7}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -46\/4649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*v - 2 - 6, 0 = -2*v - 2*r + 8. Suppose v = h, -3*h - 139 = -5*i - 26. Let w = -1301 + 1305. Calculate the remainder when i is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -54*o - 28. Let i(p) = -6*p**2 - 9*p + 9. Let c be i(1). What is the remainder when u(c) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20341\/3 - 6780. Let w(r) be the first derivative of 1\/8*r**4 + d*r**3 - 10 + 0*r + 1\/4*r**2. Factor w(j).\nAnswer: j*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -154c0?\nAnswer: 154bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(2)*1)\/(sqrt(6) + sqrt(384)*2 + sqrt(384)).\nAnswer: sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let k = 89 - 19. Let u = k - 69.5. Which is the nearest to s? (a) u (b) 1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16368 and 23892.\nAnswer: 2962608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 12*l**2 + 16*l - 36. Let v be s(-10). Suppose h - 4*h - 4*o = -12, -16 = -v*h - 2*o. Solve 0 = -6*d + 16 - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 1, y: 2, a: 2, s: 2, b: 1}. Give prob of picking 1 h, 1 a, and 1 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 4)*(0*v - 2*v + v) + v - 4*v + 2*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 266*z**2 + 18*z**3 + 17 + 2*z - 18 - 20*z**3 + (-1 + 1 - z**2)*(z + z - 3*z).\nAnswer: -z**3 + 266*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Let s = 1 + a. Let i be ((3 + s)\/1)\/1. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/60 + 4*h**2 - 2*h. Let c(y) be the first derivative of r(y). Let q(f) = -10*f**2. Calculate q(c(a)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from iavvciwwaaav?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 4 + 0)\/(3*4\/2552). What is the greatest common divisor of 110 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*c + 10, -9*j + 4*j - 25 = -2*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 5*p**2 - 3*p**2)*(-6 + 1 + 3)*(0 + 0 - p) to the form b + r*p + a*p**3 + y*p**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 2. Let t(j) = -61*j**2 - 2*j - 38. Let l(x) = 4*h(x) + t(x). What is the second derivative of l(d) wrt d?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(1008) - 2*sqrt(1008)) + -3 + sqrt(7)*-1 + sqrt(7) - 3*(1 + sqrt(343))))**2.\nAnswer: 396*sqrt(7) + 7659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5694 times -18.87\nAnswer: -107445.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-258)\/387)\/((-63)\/(-54)*-2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740 + 1105 = -123*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2981*j + 417502. Give n(-140).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:54 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 30. What is the units digit of o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)\/p)**(1\/28)\/(p\/p**0)**(-18\/5)*(p**0\/p**(-6))\/(p**(3\/7)\/p*p*p**(4\/7)) assuming p is positive.\nAnswer: p**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22020 + 37003. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - 5*5\/75\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -5. Let h(p) = 2*p**2 + 4*p - 338. Calculate the remainder when h(-17) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 15 = -8*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 83. Let y be s(0). Let r(z) = -2 + 6 - z**3 + 6*z - 90*z**2 + y*z**2. Is r(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 + -7.6. What is the third biggest value in 2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) 3\/14 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/21359 + -2605708\/961155. Let r be -87*(-2)\/(-90) + 4\/(-6). Let l = r - s. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, g: 2, q: 2, j: 4, c: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 10*z**2 + 10*z - 11. Let h be o(-11). Suppose -2*i = 2*g - 130, -4*i + 4*g = -h*i - 244. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. What is the smallest common multiple of (9\/(-4))\/(9\/(-48)) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/10)\/(-3))\/(18\/(-90))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1311*o**4 - 712*o**4 - 756*o**4 - 90 + o - o wrt o?\nAnswer: -628*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77131537 rounded to 4 decimal places?\nAnswer: 0.7713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/9 - 25394*t**3\/3 + 118489*t**2 - 3732232*t\/9 = 0. What is t?\nAnswer: 0, 7, 76168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1732, -1720, -1696, -1654, -1588?\n\"Answer: g**3 + 5*g - 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20377827 and 0.04.\nAnswer: 815113.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f - 44*f + 3094900 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*d + 28 = 3*f, -2*f = -3*d - 22. Suppose -f*a = -2*a - 18. Calculate the highest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnaaymeeme. Give prob of picking 1 y and 1 a.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h**3 + 1)*(-20 + 5*h + 20).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -33\/954523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2\/5)*w))**17\/(w\/w**(-1\/2))**(-37)*(w**(2\/5))**(-2\/31)\/(w\/w**(-1\/2)*w**7) assuming w is positive.\nAnswer: w**(2194\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954404 is divided by 300?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1101.7957 and 0.05?\nAnswer: -55.089785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.19662 - 5.27808. Round i to 2 decimal places.\nAnswer: -6.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q + 8254 = 47*q - 5*b, 3*b = -18. List the prime factors of q.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Suppose -d*w - 2*w - 14 = -2*n, -3*w = 3*n - 12. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*l - 66 + 57 + 146*l in the form h*l + m and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a9375 - 9?\nAnswer: 2a936a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 102 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 8. Calculate a(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2744) - (sqrt(2744) + (sqrt(2744) - -3*sqrt(2744)) + sqrt(2744)))\/sqrt(8).\nAnswer: -35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3467578 nanograms to kilograms.\nAnswer: 0.0000000000003467578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 96, 0.4, -0.2, -224?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/12? (a) -3\/2 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:08 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20438 = -5*z, -5*x = -x + 3*z - 81701. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024413347 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 11 + 0*y - 1\/2*y**2. Let o(k) = -36*k**2. Give z(o(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19311465.\nAnswer: 3, 5, 1287431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7999 - 7999.02. Which is the third smallest value? (a) -3 (b) 3 (c) 9 (d) o (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5))**(2\/7) assuming z is positive.\nAnswer: z**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*m + 2*m + 5*d, -m = -4*d + 11. Let i(y) = y**3 + 9*y**2 - 7*y - 17. Let l be i(m). Let u = l + -56. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 347, 1521, 3485, 6245, 9807?\n\"Answer: r**3 + 389*r**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1693\/68 + -606\/17. Find the common denominator of r and -59\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.5 (b) -3\/4 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - s = 15, 0*s - 5*s - 23 = h. Suppose -2*l = h*l - l. What is the tens digit of (-12 + l)*(-270)\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333.384 + -633.74. Let y = 256.3489 + d. Let p = -44 - y. What is p rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7506 divided by -417\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(539)*1 + -4 + sqrt(539) + -3)**2 + -5)*-2.\nAnswer: -1568*sqrt(11) + 17650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 3. Let k be x(5). Suppose -7 = -c + 5. Suppose -c = -2*w - k. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.3, 1\/5, 2\/11, 0, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 + 12*m)*(48*m**3 + 50*m**3 + 278*m**3).\nAnswer: 4512*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 176539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 96*m - 22*m - 27*m - 28*m + 7*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y + 21. Let a be n(-3). Suppose -16*s - a*s + 7847 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.295*0.0122.\nAnswer: -0.003599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)*a)\/a*a**(-11\/4) assuming a is positive.\nAnswer: a**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.999987 - 45. Round k to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 164695 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4, 5*h - 5*a + 12 = -3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204956?\nAnswer: 2, 51239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * -0.8899\nAnswer: 1.95778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1530 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 + -0.55.\nAnswer: 41.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 781.885 nanograms?\nAnswer: 0.000781885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1894440, -3788772, -5683104, -7577436?\n\"Answer: -1894332*g - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/14)*d**20)**29)**(-12\/7))**(2\/57) assuming d is positive.\nAnswer: d**(-32364\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367163727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -339477, -339487, -339511, -339555, -339625, -339727, -339867?\n\"Answer: -d**3 - d**2 - 339475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjjnjjanbanxjnnan. Give prob of picking 1 j and 1 r.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/21 (b) 3 (c) 2\/27 (d) -82 (e) -2.9 (f) -1\/4 (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 15*o**2 - 20*o + 125. Does 6 divide u(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*w**4 - 4*w**2 + 1 + 8*w**2 - 6*w**2 + 0*w**4 - 5*w as r*w**2 + n + o*w**3 + a*w**4 + k*w and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 1008*k - 43605.\nAnswer: -3*(k - 285)*(k - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 + (-5 - 1 + 4)*(-1 + 1 + 2))*(3*l + 0*l - l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + (10 - 18) - 4) + 3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*o = -55788 + 32666 + 35404 for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 120245234 (base 7) to base 9\nAnswer: 15025002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2703 + 3267 = 0. Calculate the remainder when 6\/9*z\/10 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**4\/s*s\/(s*s*s**(-5\/4)\/s)*(s*s**(2\/5))**(13\/4))**(1\/4))**36 assuming s is positive.\nAnswer: s**(486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11280, -11377, -11630, -12117, -12916, -14105, -15762?\n\"Answer: -13*n**3 - 6*n - 11261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -57, -58, -59, -60?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/12 - 1039*s. Let p(w) = 1303*w. Give p(g(c)).\nAnswer: -1303*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b**2 + 10*b**3 - 17*b**2 + 5*b**3 - 2 + 31*b**2 - 3*b - 5*b**3 as z + y*b**2 + i*b**3 + f*b and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 9. Let c = -25 + p. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/2, -5\/3 in increasing order.\nAnswer: -5\/2, -5\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -37, -125, -269, -481, -773, -1157, -1645?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-2506)\/(-280) - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50\/17 + -32\/17. Is 0 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 14*d + 2. Let r be -1 + -13 + (-5 - -5). Let s be i(r). Find the second derivative of 4*o - 20*o + s*o**3 + o**3 wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 64916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 152436152 and -201.\nAnswer: 152435951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 81?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16306 - -16434. What is the greatest common divisor of x and 2000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 515 and 15282099792?\nAnswer: 15282099277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45586 less than 0.116?\nAnswer: -1.33986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4867338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (290\/261)\/((-4)\/((-864)\/30)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 10*f - 340. Let k = f - -278. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1\/1 - 0. Let r be (g\/3)\/((-1)\/(-24)). Let l = r - 8. Solve -l = -4*b, -2*b + 4*b = 4*j + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14336045 (base 7) to base 5.\nAnswer: 321310404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227373149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 210*y + 17698. Calculate o(-84).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.025, 1.2, -9, -0.01?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 10158*c - 4447960.\nAnswer: -2*(c + 484)*(c + 4595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7.114. Let t = -2.304 + o. What is t rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 2259.003447002.\nAnswer: 2265.003447002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*v + 30, -4*i = -7*i - v + 30. Let x = i + -10. Suppose 2*z - 22 + 4 = x. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 1:14 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 + (6 - 3) - (5 - -6) - 69?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.2 and 4.9.\nAnswer: -25.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192657.6 - -192656.9000024. Let w = 13.3 - 14. Let t = n - w. What is t rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/4 - -1\/12. Sort 1, u, -2, -0.02.\nAnswer: -2, u, -0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, g: 3}. Give prob of sequence yggy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 15 - 1713*w**2 - 1716*w**2 - 3*w + 3454*w**2 as i + p*w + f*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 368*a + 1306. Determine g(-4).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -13*o**6\/10 - 63*o**5\/2 - 591*o**4\/4 + 347*o**3 + 180*o**2 + 9*o - 17. Let d(v) = 0. Calculate v.\nAnswer: -12, -5, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - p - 6 = 0, 4 = -8*p + 4*p. Let j be (-9)\/(45\/(-20)) + f. Solve j*i = 2*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1561, -3154, -4767, -6406, -8077?\nAnswer: -9786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639?\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1\/5. What is the biggest value in -2, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 12}. What is prob of picking 3 f and 1 c?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/20 + 11*x**4\/12 - 2*x**3 - 11*x**2 + 52*x. Does 4 divide s(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r**2 + 2*r. Let x be k(2). Let n(t) = -t**2 + 6*t + 10. Let g be n(7). Suppose -2*c = -g - 1. Solve c*i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouoojjmo. Give prob of sequence jmj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1248)\/65)\/(-24) - (117\/(-735) - -1)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*g**2*v**2 - 2*g**2*v - 2032*g**2 + 14*g*v**2 with respect to v.\nAnswer: 170*g**2*v - 2*g**2 + 28*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/119400 and 143\/131400?\nAnswer: 26148600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r**3 - 3*r - 3. Let b(z) = 23*z**3 + 5*z + 5. Let y(p) = -2*p**2 - 24*p - 19. Let h be y(-11). What is h*b(m) + 5*o(m)?\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(1472\/(-3840)) - -22.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-3\/2))**(-2\/7) assuming n is positive.\nAnswer: n**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*u**3 - 67782*u**2 - 3321576*u - 943488 = 0. Calculate u.\nAnswer: -48, -2\/7, 3276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2010 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2 and (-218)\/5*3\/(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = 12*r - 27. Let s = -1.5 - 0.5. Which is the fourth biggest value? (a) r (b) 2\/7 (c) s (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*l + 21, -15*l - 9 = -5*k - 8*l for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 8:16 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - b8?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:42 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**2\/5 + 52*r\/5 - 12\/5.\nAnswer: (r + 6)*(9*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1556787 divided by 6\nAnswer: 518929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41412 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1894*y**4 - 11943*y**3 - 327854791*y**2?\nAnswer: -45456*y - 71658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l - 215. Let c = -8289 + 8306. Give v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*t - 41 - 27, 3*h = t + 34. Let b = -10 + h. What is the common denominator of 154\/(-40) - (-2 + b) and 59\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/8*(-85)\/357?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 117156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*s**6 + 12*s**5 - 3*s**3 + 22762*s**2 - 2?\nAnswer: -16440*s**3 + 720*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4 - 758*n**3 + 3005*n**2 + 8288*n + 4524 = 0?\nAnswer: -1, 6, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 2\/9*z**2 + 0 + 2\/9*z**4 + 0*z**3 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*r - 152*r + 5200 + 16307 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -77.5.\nAnswer: -78.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 19}. Give prob of sequence bbtb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 19*d**2 - 2*d**3 + 4 - 12*d + 28*d**2 - 68*d**2 + 19*d**2 in the form z*d**2 + j*d + v*d**3 + w and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -21*o - 126, -o - 20 + 14 = -4*v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 9)*(-5)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2. Let f(i) = -319*i + 2. What is a(f(b))?\nAnswer: -407044*b**2 + 5104*b - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 4:27 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.037 - -0.163. Let i = -20.6 - m. What is i rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -172, -1177, -3840, -8971, -17380?\n\"Answer: -135*d**3 - 19*d**2 - 3*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2085\/3161 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178031*u**4 + 3*u - 77567.\nAnswer: 2136372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -56. Suppose 0 = 4*h + 3*l + l - 744, u = h + 3*l - 186. What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12250 and -1.3144785525.\nAnswer: 12248.6855214475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 9*x - 39. Let y be v(-12). Let o(i) = -i + 2. What is o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -78. Solve -8*q + 3*q = 5*s - 20, -4*s = -k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(3\/36)\/(1\/159). Let f = 256 - m. Let i(u) = 3 + 3 + 2*u**2 - 3*u**2 + 0*u**2 - 9*u. Give i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 0. Let z = h + -6. Solve -z*b - 5 = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -236098, -472288, -708478, -944668?\n\"Answer: -236190*f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {c: 6, d: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -31*r**4 + 2137*r**3 - 11363*r**2 - 14413*r - 882 = 0?\nAnswer: -1, -2\/31, 7, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-45)\/(-10)) + -86. Suppose 45 = 5*p - 130. Is (p\/(-20))\/(2\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -2*p - g, 0 = g - 4. Suppose -p = -l - 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*-6*sqrt(400)*-2)\/((sqrt(128) - (sqrt(128) - 2*sqrt(128)))*-6 - sqrt(128)).\nAnswer: -15*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4650\/135)\/31*(-24)\/(-10)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d169 (base 16) to base 4.\nAnswer: -11231011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3\/3 - 7*k**2\/2 + 3*k + 37. What is u(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/2)\/(-35)*70\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/5)\/(k*k**5))\/(k*(k\/(k\/((k*(k\/(k*k*k**(-1)))\/k)\/k*k)))\/k*k)**(-29))**10)**27 assuming k is positive.\nAnswer: k**6264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + sqrt(187)\/sqrt(11))**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**2 - 150*p - 28. Let v be d(14). Solve n + 7 = -3*y, -6*y + 8*n - v = 3*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**2 + 26*o**2 - 36327*o + 18*o**2 - 36333*o + 72658*o.\nAnswer: 29*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-272)\/(-72) - 8\/(-36). Suppose t*b = j + 7836, -j = -0*j - 4. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(1178*y - 1178*y - 2 - 5*y**2) in the form f*y**2 + q + m*y and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/60 - 177*f**4\/8 - 119*f**3\/6 + 728*f**2. What is the derivative of j(a) wrt a?\nAnswer: -2*a - 531","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475900169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112366 and 2052?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/((-4)\/(-8)). Let o = -53156 - -585287\/11. Let f = o - 52. Which is the closest to z? (a) -2 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/40))\/(h**(-35)\/h*h) assuming h is positive.\nAnswer: h**(1443\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -111*j + 152*j - 71*j. Let y(c) be the first derivative of c**5\/60 - 7*c**3\/3 + 5. Let p(o) be the third derivative of y(o). What is p(g(x))?\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 5*o**2 - 10*o - 8. Let c be r(-7). Let k = c + 39. Differentiate k*t - 8*t + 6 + t with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/12)\/((-14)\/(-16)). Let d = -3.3344 + 2.8344. Which is the biggest value? (a) s (b) d (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/42 + 11*s**6\/90 + s**5\/12 - s**4\/12 + 16*s. Let i(v) = 0. Calculate v.\nAnswer: -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 16 + 6 + -3 + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsnbsvnbsnnsnn. What is prob of sequence sns?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offooobmobofmfbooof. Give prob of sequence bfm.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*h = -339, 3*s - h + 0*h = -324. Let x = s - -113. Suppose 5*j - j = 5*o + 5, -2*j = -4*o + 2. Solve -j = -x*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2416191*l. Let s(z) = 7*z**2. Calculate s(x(q)).\nAnswer: 40865852639367*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, w: 1, n: 1, o: 1}. Give prob of picking 1 w and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 129 (c) -4 (d) 3\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 1, z: 2, x: 1, r: 1, p: 4}. What is prob of sequence pl?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 501417600 to the nearest one million.\nAnswer: 501000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**9\/362880 + q**8\/40320 + q**7\/15120 - q**5\/30 - 6*q**2. Let m(z) be the third derivative of p(z). Factor m(d).\nAnswer: d*(d + 1)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 15 - 15)*(1 - 3 + 4) + 4*c + 7*c + 5*c - 2 + 0*c + c - 3*c + (2 - 2 + 1)*(-c - 2*c + 4*c) - 1 + 2*c + 1.\nAnswer: 19*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36429 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*d - 11146 = -3086 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433261 is divided by 49418?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(121) - (sqrt(121) - sqrt(121)*-3)))\/sqrt(11))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -q - 16, 5*q - 10*y - 14 = 31 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/42 - 5*m**6\/24 + m**5\/2 + 3*m**2 - 253*m. Factor n(y).\nAnswer: 5*y**2*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/5)\/(18*(-12)\/(-1080)). Let i be (2\/1 - -2) + -2. Suppose -3*o + 142 = 4*u - i*u, -h*u - 5*o = -288. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 11*y**2. Let h be a(-11). Let i be h - (-10)\/(-3)*3. Let b = 25 + i. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123210122 + -130?\nAnswer: 123203332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + -2*sqrt(175))**2 - (sqrt(252)\/sqrt(4)*-2 + 5).\nAnswer: -4211 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -12*x + 4*v, 929*v = 2*x + 924*v + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, k: 11}. What is prob of sequence kktk?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6\/(-54)*1*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 17*m = -18*m - 13, -i = 5*m + 53. Let z = 0 + 0.4. Sort i, -5, z in ascending order.\nAnswer: -5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1268 - 869. Suppose 0 = 20*i - i - s. Calculate the highest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/1*-1*((-17810)\/(-130))\/(-137).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnpnnhsnhnpnhh. What is prob of sequence hnn?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112712 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -53*s**5\/20 - s**4\/6 + 257*s**2\/2 + 249*s. What is the first derivative of x(m) wrt m?\nAnswer: -159*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.25, -3, -0.05 in decreasing order.\nAnswer: 0.25, -0.05, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -1202?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 8*n**2 - 4*n**2)*((6*n - 2*n - 3*n)*(-3 + 1 - 3) + 15*n + n + 13*n)*(n - n + 3*n).\nAnswer: -432*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let x be (-4)\/18 - (-130)\/18. Let y(j) = 13*j**2 + 13 - 6 - x. Calculate y(v(h)).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l + 5*t = -37, 2*l = -2*t + 98. Suppose -4*z = 8, -3 = -4*s + z + l. Solve 8 = -s*y + 8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 34. What is the hundreds digit of (5\/(-15))\/((-821)\/(-411) - m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 0*g = 6*g - 4*y - 284, 3*g - 4*y - 308 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2))*5 + (1 + sqrt(2))*3.\nAnswer: 3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48356.83 years in millennia?\nAnswer: 48.35683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u. Let t(y) = 2*y**2 + 8*y + 5*y - 13*y. Determine t(n(r)).\nAnswer: 512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (5973\/(-51) - (-2)\/17). Suppose -2*w + o = 4*k, -8*w = -6*w - k - 95. Suppose w*b = 53*b - 273. Calculate the highest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose 7*x - 4 = 3*x - 4*t, -f*t = -10. Let u be (1*-2)\/(6\/9). Sort x, 3, u in decreasing order.\nAnswer: 3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - u + 2*i - 18, 12*i - 54 = -3*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5\/4))\/(r**(-4\/9)*r) assuming r is positive.\nAnswer: r**(61\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-5 + sqrt(5808) + 0 - (sqrt(96)\/(sqrt(20)\/(sqrt(250) - sqrt(10))))**2).\nAnswer: -775 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/12 - 5*i**2. Let a(t) = -t**2 + t - 1. Let g(l) = -16*l**2 + 20*l - 20. Let q(o) = -20*a(o) + g(o). What is c(q(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + 93*i**2 + 2 - i**4 - 3 - 93*i**2 + 3*i as t*i + h + b*i**4 + l*i**2 + s*i**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3\/2, -5, 0, 4, -0.07 in increasing order.\nAnswer: -35, -5, -0.07, 0, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 2, k: 4}. What is prob of sequence kt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, f: 1, b: 6}. Give prob of sequence br.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185179 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/10*(-1 - 2). Suppose -2*c = d*c - 25. Suppose -f - 140 = -c*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 542 - 118. Let l = -17 + v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 467172 and 1401516.\nAnswer: 1401516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-6 + -11)) + 110\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 69\/5. Let j = 30 - 32. Which is the closest to j? (a) 4 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16*20*(-120)\/(-300).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/439? (a) 0.0899 (b) -0.2 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 767387, 767385, 767383, 767381, 767379?\nAnswer: 767377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 2}. Give prob of sequence cycy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 10*p + 17. Let n be m(9). Suppose -58 - 20 = -n*a. Solve 3 = 3*t, 4*r + 2*t + t = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18373*q - 91893. Calculate v(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2 + 90108*x - 5504030 = 0.\nAnswer: -45115, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 35. Let j = 3912 + -3914.9. What is the nearest to j in 0.5, b, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 - -10 - 2*-1. Sort z, 3, 28 in decreasing order.\nAnswer: 28, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -1\/65, -5.\nAnswer: -5, -1, -1\/65, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 16, e: 4}. What is prob of picking 1 e and 1 m?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109583.\nAnswer: 109583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210339 or -210338?\nAnswer: -210339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 72. Solve 8 = f*p - 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**2*m*v + 91*d**2*m + 42*d**2*v**2 + 4*d**2*v - 38*d*m*v**2 - 10*d*v**2 - 4*m*v**2 + 2*m wrt d?\nAnswer: 16*m*v + 182*m + 84*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38855174.\nAnswer: 2, 19427587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120*h**2 + 39 + 139 + 134 + 18 + 5*h**3 + 205*h.\nAnswer: 5*(h - 22)*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361 + 361 - 7*k)*(-11*k + 133*k + 19*k).\nAnswer: -987*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 2\/5*g**5 + 8\/105*g**7 + 0*g**3 - 2*g**2 + 0 - 1\/6*g**4 - 3\/10*g**6 + 0*g. Factor t(w).\nAnswer: 4*w*(w - 1)**2*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -57.975. Let c = 219 - 208.025. Let r = c - a. Sort 2\/11, -2, r in decreasing order.\nAnswer: r, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 4 - 15 + 257*p**2.\nAnswer: 257*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(4\/8)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -854 divided by -7.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = t, u + 4*t + 16 = 8*u. Solve u = -3*y + k + 2 - 16, -16 = 3*y + k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 l when three letters picked without replacement from tluueaeteealeaet.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 5*d**2 + 12*d + d.\nAnswer: 5*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34116620?\nAnswer: 2, 5, 17, 100343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-2*-2 - sqrt(119) - sqrt(119)) + sqrt(119))\/(-3*sqrt(700)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c + 77389 = 53*c + 3604. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 - 94. Let b(j) = -10*j - 11*j**3 + 2 - 2*j**2 + 12 - 2 + 16*j**2. Let v be b(f). What is v rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211002040 + -233?\nAnswer: 211001302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507.6055 hours in days?\nAnswer: 104.4835625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 447880999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2822 (base 9) to base 15.\nAnswer: 96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a)\/a**(5\/2))**24*((((a*(a**(5\/2)\/a)\/a)\/a)\/a)\/(a**(-3)\/a))**(3\/22) assuming a is positive.\nAnswer: a**(-3939\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*x, -39*l - 3*x = -112*l - 384 - 921 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 >= 178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8295.07 + 3?\nAnswer: -8292.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30037 + 77?\nAnswer: 30136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 4. Let i = 1 - -4. Suppose i*t = 3*n + 7, -6*t + u*t - 25 = -5*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-578)\/102)\/((-1)\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(6\/(-30)). Calculate the remainder when 24 is divided by i\/6*39\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 4*d**2 - 2*d + 1. Let a(b) = -4*b + 46. Let z be a(12). Calculate the lowest common multiple of p(z) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:53 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 31*l**2 + 12*l + 16. What are the prime factors of g(-14)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2*m**3*t**3 + 345*h**2*m**3*t**2 - 3*h**2*m*t + 2*m**2*t + 6*m*t**3 wrt m.\nAnswer: -12*h**2*t**3 + 2070*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 - 4 + 4*v + 2. Suppose -8*k - 226 = -120 - 114. Determine p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 19aa7ca?\nAnswer: 19aa7cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805790, -1611577, -2417364?\nAnswer: -3223151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088394533 minus 0.4?\nAnswer: 5088394532.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 83183316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -1b64f?\nAnswer: 1b655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*t - 46*t - 44*t**3 - 54*t.\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/392)\/(55\/11000).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2 - 3*b + 2. Give a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0561860191 to five dps.\nAnswer: -0.05619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:40 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*q - 4, 724*q - 1458*q - 4 = -730*q + 2*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 371*-3096253\nAnswer: -1148709863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 27 = -3*s, -13 = -s - 2*m - 0*m. Solve 0 = -s*y + o - 28, 3 = -3*o + 4*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - sqrt(1088)*3)*-3*-4)**2*1 + -1 + 5.\nAnswer: 626692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/40*(-52464)\/2186.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -63) + (-2)\/((-8)\/(-18))*(-1780)\/801\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 + 5*x - 1. Let l be g(-5). Calculate the common denominator of -23\/2 and 83\/(-20) + l + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-2\/47)\/m))\/m)\/(m*m*m*m**2*m))\/((m\/m**(1\/3))\/m)**(-39) assuming m is positive.\nAnswer: m**(-844\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1638*k**5\/5 + 21*k**2\/2 + 37*k - 733. What is the second derivative of u(o) wrt o?\nAnswer: -19656*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 - 10 = 2*z, -3*p - 4*z = 11. Suppose -p*a = -m - 1867, -2*m + 2 = -8. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 2. Let s(n) = 3 + 0 + 7*n - 2*n - 12. Let d be ((-18)\/4)\/(2\/(-4)). Let k(i) = d*w(i) + 2*s(i). Let g(f) = f - 1. Give 2*g(v) - 3*k(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 164*j - 2 + 2.\nAnswer: -164*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/(-4 + 224\/60). Which is the nearest to j? (a) 1\/3 (b) 2\/3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-2)*(-2424)\/(-2020)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 9\/((-9)\/(-8)). Suppose 2*j - 3*g - 9 = 0, 0 = j - 5*g + 4*g - 6. Solve j*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -50258*0.09\nAnswer: -4523.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -41. Let t = z - -50.8. Let i = 0.8 - t. Which is the second biggest value? (a) -2 (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/9 - s**4 - 23*s**3\/9 - 7*s**2\/9 + 8*s\/3 + 16\/9 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 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: What is the third smallest value in 2\/9363, 1\/4, 4\/5, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15968 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 {u: 5, f: 11}. What is prob of sequence ufuu?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 5) in base 7?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g - 9*g - 4*g)*(-5*g + 3*g + 5*g)*(18 + g + 9 - 33).\nAnswer: -69*g**3 + 414*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338, -2690, -4034, -5370, -6698, -8018?\nAnswer: -9330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from jrszrzzjzrzzrzzr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26715490?\nAnswer: 2, 5, 31, 86179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1019447 and 5629.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*z + 32*z + 39042145 - 233782192. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 5*h - a - 284, -4*h - 5*a = -236 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p - 5. Let z be 190\/95 - 3\/(-1). Let b(f) = -6*f**3 + 4*f**2 - 5. Let t(r) = -r**3 + r**2 - 1. Calculate p*b(l) + z*t(l).\nAnswer: l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.7496ml in litres?\nAnswer: 0.2957496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 62900043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5*x - x - 4*x - x.\nAnswer: -x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -54895756.23 to the nearest 10000.\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/538550 and 89\/474.\nAnswer: 127636350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -16*w - 22 - 5 + 12 - 34. Let l be i(-15). Let g = l + -83. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2. Let o(l) = -l**2 + 13*l**2 - 5*l**2 - 3*l**2. Determine o(y(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10761 - 10756. Sort t, -6, 16, -26 in descending order.\nAnswer: 16, t, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:17 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 k when four letters picked without replacement from {k: 4, l: 6, n: 4}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 254, 1, 0.01, 0.1?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3087 + -3088. What is the closest to -3 in -4, x, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -122. Let j(q) = -q**2 - 19*q - 5. Let d be j(6). Let c = k - d. What is the greatest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 + 8*u**4 + 8322*u**3 + 8288*u**2 - 16616*u = 0 for u.\nAnswer: -62, -2, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 16, -2*q + 4*q = 5*m + 30. Sort -3, 1, 3, q in descending order.\nAnswer: q, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 447 + y**2 - 467 + 913. Calculate f(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/231*29\/(-8). Let s = 6\/77 - n. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312320322 (base 4) in base 15?\nAnswer: -14e973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 71?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51\/35 in 3, 64\/5, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129460?\nAnswer: 2, 5, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 210*i + 2078. Give n(-94).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 + 64.23. Let d = 60 - i. What is the third smallest value in -2\/13, -2\/3, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, -0.5, -9301.\nAnswer: -9301, -0.5, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6*c + 3*c = 0, -u + 5*c - 32 = 0. Let m(w) = w**3 + 12*w**2 + w + 18. Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 117360*o**3 - 586690*o**2 - 351960*o + 1056015 = 0 for o.\nAnswer: -23467, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/21 or 2?\nAnswer: 34\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-4)*228\/285?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -849*w - 361*w + 31460 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 28 - 74. Let l = o - -71. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - 715?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3\/2, -10\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/679, 4, 1\/8, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 6999750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*p - 4 = 0, p - 3*p = -t - 12. Let y be (9\/t)\/(18\/(-48)). Let q be -6*((-6)\/30)\/(6\/20). Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1214*j**3 - 4*j**2 - j + 8. Let h be d(4). Is (18 - 19)\/(4\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from lllb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 203, 304, 405?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 6*i - 6. Let x(r) be the second derivative of -r**4\/3 + 11*r**3\/6 - 11*r**2\/2 - 5*r. Let u(w) = -4*x(w) + 10*y(w). Factor u(g).\nAnswer: -4*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683059*d + 113*d**3 + 683059*d.\nAnswer: 113*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 t, and 1 b when four letters picked without replacement from tizbbzzzzttbzt?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(320)*5 - sqrt(320)) + sqrt(320) - ((sqrt(320)*-2 - sqrt(320)) + 4)) + 2)**2 + 2.\nAnswer: -256*sqrt(5) + 20486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t + 30. Suppose 5*f + 2*y + 2 - 192 = 0, 5*f - 2*y = 210. Let h be f\/(-3) + (-8)\/(-24). Is w(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3456 divided by -108.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ussu when four letters picked without replacement from uususuuuuuuuu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:33 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*i - 161*i = 28. Which is the smallest value? (a) i (b) -94 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 985 - 996. Let v(c) = 5*c**2 - 14*c - 1 - 2 - 2 - 6. Let m(o) = 2*o**2 - 5*o - 4. Determine x*m(z) + 4*v(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1\/684472?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 3, w: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let c(k) = -3*k - 1. Let o(w) = -2*c(w) + 5*f(w). Let n = 13 + -8. Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.61 - -1.6.\nAnswer: 6.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*r + r + 575, -2*u + 226 = 2*r. Let l = -471\/4 + u. Is l greater than -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -503, -3993, -13463, -31901, -62295?\nAnswer: -107633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 280374949 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011321312 (base 4) in base 14?\nAnswer: 103c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*b**2*q**3 - 11*b**2*q**2 - 10*b**2 + 2*b*q - 7*q**3 + 2206*q**2 + 1 wrt b.\nAnswer: 166*q**3 - 22*q**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039041648 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-288)*6*(460\/3375)\/23\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30757754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 47 + 13*u + 47. Let l(n) = n**2. Calculate l(w(g)).\nAnswer: 361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330 - 2331032?\nAnswer: -2323102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 4, s: 4, j: 2}. What is prob of sequence sz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348 - 238. Find the second derivative of 3*b + 19 - 80*b**5 + p*b**5 - 105*b**5 wrt b.\nAnswer: -1500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3905.90932 + 3906. What is g rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.6926 to zero decimal places.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 1. Let o = 0.318 - 0.618. What is the second smallest value in o, -1, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7320.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + (-5195)\/20. Let u = 219 - s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46 from 1293190693.\nAnswer: 1293190739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -173*s**3 + 89*s**3 + 75*s**3 + (4 + 1 + 3)*(s + 3*s - 2*s)*(3*s**2 + 0*s**2 + 3*s**2).\nAnswer: 87*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -38. Suppose 5*t + j = 277. Let k = t + -6. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*612)\/(-3)*1974\/(-8). Let p = 57403 - -89971. Let k = n - p. Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4)*13\/(182\/12). Suppose 3 = 12*r + k. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-9)*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(-12)*m)\/m*m*m)\/((m\/(m**(-3\/8)*m))\/m*m))\/((m**(-30)*m*m)\/(m**(-42)\/m)))**(-22) assuming m is positive.\nAnswer: m**(2145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 8*u = -50 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 3\/4 (c) -0.3 (d) 2 (e) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 289822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 1. Suppose -2*a - 68 = -t*v + 84, -5*a - 350 = -5*v. Let l be (6\/9)\/((-4)\/a). Is l greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6\/5)\/k*k)\/k*k*k)\/k**(-19))\/(k**(-7))**(-25) assuming k is positive.\nAnswer: k**(-781\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 16*n + 160. Calculate m(-14).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - -2) + -3*1. Suppose 2*r + p - 248 = -p, -2*p = c*r - 486. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460696, 3685530, 12438648, 29484190, 57586296, 99509106, 158016760, 235873398?\nAnswer: 335843160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (2 + -3)\/(-1). Which is the third biggest value? (a) -2\/5 (b) -0.1 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 39*l - l**2 - 39*l. Let q(z) = -z**2. Calculate q(p(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 974845*p - 6824160.\nAnswer: 5*(p - 7)*(p + 194976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -24. Calculate the lowest common multiple of 7 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 - 196. Solve -6*b + b - d*m - 20 = 0, -3*m = b + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25065694 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Solve 0 = -5*n - 4*i + 30, -2*n - 3*i = -m*i + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)*0\/4. Suppose -3*h + 9 = -k*h. Determine w so that -5\/2*w**2 + 5\/2*w**4 + 3\/2*w**5 - 1\/2*w**h + 0 - w = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1053 + -601. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/3*24\/(-16). Let w(l) be the first derivative of l**2 + 4 + 0*l**q + 0*l**3 + 0*l**5 + 0*l + 2\/3*l**6. What is the second derivative of w(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t + 1264 = 64*t - 6411 + 545 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 508 = -571 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405897.\nAnswer: 3, 19, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -523, -2041, -3559, -5077, -6595?\n\"Answer: -1518*q + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/52432 and -75\/100879168.\nAnswer: 100879168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-87)\/58)\/(6\/(-3628)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19563 - 16613. Calculate the greatest common factor of l and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**16*x)))\/(x*x*x**(-29)*x)*x**2*x**(-13\/5) assuming x is positive.\nAnswer: x**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2673, 0.0739 in ascending order.\nAnswer: 0.0739, 5, 2673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 16*v**2 - 130*v - 15. Let l be x(28). Is l at least 5754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let b(m) = 5*m - 274. Let f(u) = 4*u - 277. Let k(t) = 3*b(t) - 4*f(t). Determine k(s(o)).\nAnswer: 3*o + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-3) + 3 + 4\/(-6). Which is smaller: x or 0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 820 and 167731.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: bcbda (base 14) to base 11\nAnswer: 292a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 2*l**5 - l**5 + 273*l**4 - 21*l**5 - 273*l**4 + (3*l**2 - 3*l**2 - l**3)*(l**2 - 2*l**2 + 2*l**2).\nAnswer: -23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(1\/4). Let s = 9 - a. Let y be (-513 + 502)*1\/11. Sort s, -4, y in ascending order.\nAnswer: -4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/(-1)*128\/960?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/6 - 57649*b\/3 - 3323407201\/6 = 0.\nAnswer: -57649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = 0. Suppose d = -3*i + 5*c, 0*i + 3*i = c + 12. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -562 + 1230. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w**2)*(-3*w - 4*w + 3*w**3 + 4*w).\nAnswer: 3*w**5 - 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 7 - 8. Let m = f - -10. Put 2, -0.2, m in increasing order.\nAnswer: m, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2 - (-36)\/(-2). Let x be (63\/6)\/((-2)\/a). What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and -37\/9153.\nAnswer: 36612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (84\/(-35))\/((-6)\/20). Let f(z) = -z + 2*z - 8*z + l*z - z**2. What is f(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.954978 rounded to 1 dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 24. Suppose 2 = -k, -i*u + 5*k = -u - 105. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211 by -107761.\nAnswer: -211\/107761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - 7*b**2 - 4*b**2 + (0*b + 0*b - b)*(1 - 2*b - 1) - 2*b**2 - 6 + 6*b**2 - 2*b**2.\nAnswer: -7*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29194785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*i = 3*i - 5, 5*i = -15. Let a(t) = -25*t + 188. What is the units digit of a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5068, 33, -27?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(36\/18968). Let o = -3876 + 10853\/3. Let t = o + a. Find the common denominator of -53\/8 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*z - 7, -d - 26*z + 23*z - 5 = 0. Solve 0 = 5*v - d*w - 4, 3*v - 2*w = 4*v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 6 in ascending order.\nAnswer: -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/89936 and 81\/1022.\nAnswer: 89936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4209 + -63133\/15. What is the nearest to t in 1\/9, 7, 0, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -1, -22 = -b + 2*z. Calculate the lowest common multiple of 14 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206 - 206. Let w be 1*2*2\/24. Let u = 0.4 - -0.1. Which is the second biggest value? (a) u (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 4*l = -145 - 86. Let o(d) = -2*d**3 - 2*d**2 - 3*d. Let c be o(-2). Let t be 55\/l + -2 + c\/6. Solve 1 = s, -2*v + s + 3 = t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6252, -25013, -56276, -100041, -156308, -225077?\n\"Answer: -6251*o**2 - 8*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -49. Suppose -3*b = 4*s - 26, -5*b + 5 = -2*s + s. Calculate the highest common divisor of t and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(sqrt(84)*-1 + sqrt(84)) - sqrt(84)*-2*2))\/(-5*(sqrt(1452)*1 + sqrt(1452)) - (sqrt(1452) + sqrt(1452)*-1*-3 - sqrt(1452))).\nAnswer: -8*sqrt(7)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -49*g**3 + 7*g**2 - 11*g + 76. Let s(r) = 24*r**3 - 3*r**2 + 5*r - 38. Let a(l) = 3*m(l) + 7*s(l). What is the first derivative of a(u) wrt u?\nAnswer: 63*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1609a149 - -1?\nAnswer: 1609a14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**2 + 6*k + 7. Let i(h) = 14*h**2 + 7*h + 8. Let c(n) = 7*b(n) - 6*i(n). Let m(l) = -6*l - 4*l - 2*l + 3*l + 20*l - 8*l. What is m(c(v))?\nAnswer: 21*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6311*b**4 + 31766 with respect to b.\nAnswer: -25244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*c + 62962 = 23800 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2737*z**3 + 15 - 34 + 9 + 10 + 3794*z**3.\nAnswer: 1057*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.03 and 6.190971.\nAnswer: 5.160971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31047315 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.59030716 + -1709.07429996. Let a = 1705.484 + o. Let u = 1 + a. Round u to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:31 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 11 = -2*g, 3*p - p + 8 = 2*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*k = -3*n + 1, 0 = 4*n + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3\/5, -1, -85694 in ascending order.\nAnswer: -85694, -5, -1, -3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -701.576 * -0.128.\nAnswer: 89.801728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 470 - 1070 + 506)*(-3 + 7 + 2) to x + m*h and give x.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101100100000101000?\nAnswer: -101100100000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111331574257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 (base 10) in base 11?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8, 3*b + b = 4*c + 40. Let w = c - -5. Let u = -1.02 - -0.02. What is the closest to 1\/3 in u, 5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-3)\/(-18)*(-30)\/20). Solve -7*r - 18 = -3*r - 2*q, 0 = -k*r - 4*q - 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 97 - 503 = 0. Solve -u*n = 8*n + 165 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11) + (-7 + (-1640102268)\/(-132) - 10). What is s rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -7. Let u = 6 + d. Suppose 0 = -9*n + u*n - 5*s + 60, -s = -4*n + 28. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 871\/(-4))*(470 - 111996\/238)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - -17. Let c = -98 + j. Let i = c - -41.4. Round i to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 11*z - 12. Calculate u(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -14*p + 14. Let r(s) = -66*s - 3. Let y(v) = -13*v - 1. Let h(q) = -r(q) + 5*y(q). Determine h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 137*w**2 + 34*w. Calculate j(1).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*q**2\/2 - 27169*q\/2 - 53019 = 0. Calculate q.\nAnswer: -2466, -43\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/3*(-4)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -420, 3\/4, -0.23, -1\/6 in decreasing order.\nAnswer: 3\/4, -1\/6, -0.23, -2, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 24, 27, 26, 21, 12, -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 6*f - q, -8 = -4*q. Which is the closest to -1\/2? (a) -17 (b) f (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**8\/672 - s**6\/80 - s**5\/60 + s**2. Let u(l) = 0. Calculate l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**4\/4 + 275*v**3\/4 - 33417*v**2\/4 - 43331*v\/4 - 4823\/2 = 0 for v.\nAnswer: -91, -1, -2\/7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 + 344*o - 35648\/13.\nAnswer: -2*(o - 2228)*(o - 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -291, -446, -601?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10 - 13 - 2*h - 4. Suppose -4*n - 40 = -8. Let q be j(n). What is the highest common factor of q and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/9))\/l)\/l**(-11))**(-1\/14)\/((l**(1\/2))**(6\/17)\/((l*l\/(l\/(l*l**(-6\/11))))\/(l**(-8)*l))) assuming l is positive.\nAnswer: l**(176161\/23562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -61485.\nAnswer: 368910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Let k(j) = 2*j**3 - j**2 + 0 - 764*j + 0 + 763*j. Determine 4*f(c) - k(c).\nAnswer: -2*c**3 - 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**6\/120 - v**4\/12 - v**3\/3 - 5*v**2\/2 + 7. Let y(c) be the second derivative of d(c). Calculate y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33600.48 grams?\nAnswer: 33600480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 0.4, 10, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plkplhihlihphhihkh. What is prob of picking 2 p and 2 h?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*9\/(-12)*-2. Let g be ((-2)\/5)\/(f\/15). Solve 3*c + 4*l + 6 = 5*l, 3*c = -g*l - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.47 times -0.068\nAnswer: -0.23596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*o*s**4 - 37*h*o - h*s**3 - 17*o*s**3 + 9*o*s**2 - s**4 wrt s?\nAnswer: -24*h*o*s - 6*h - 102*o - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 907*f - 890*f + 1781*f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 20720 - 4*z - 10461 - 10686 - 2*z as p*z + g and give g.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 3, -655112?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffwyuywyfffwffyff. Give prob of picking 1 w and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1 + (-49)\/14*15486. Round d to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8992096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-112)\/(-20) - (-41)\/85. Which is the closest to 2? (a) -2 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*y - 25 = 0, 2 - 12 = n + 2*y. Suppose 0 = -3*h - 4*t + 14, 4 - 14 = -h - 4*t. What is the least common multiple of n\/(-1) - (-43 + 17) and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/391 + 261\/51.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 t when three letters picked without replacement from ftoccfgcggccfgfc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/1 - (105 - 124)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g. Let p(i) be the third derivative of i**7\/1260 + i**5\/20 + 2*i**2. Let u(t) be the third derivative of p(t). Give -5*j(o) - 4*u(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10694, 12302, 14988, 18758, 23618, 29574, 36632, 44798?\n\"Answer: y**3 + 533*y**2 + 2*y + 10158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuxuxxnx. Give prob of sequence un.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:17 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -710*r**2 - 1867*r wrt r.\nAnswer: -1420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5492687047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-604 - -611) + ((-2)\/8)\/((-1)\/4). Solve q = -4*v + 17, -3*v + f*v - 34 = 3*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 17}. Give prob of picking 1 r and 3 h.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019654594 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*m + 11*m - 961038 = 0. What is the greatest common factor of m and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.495*4.\nAnswer: 117.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134035 is divided by 26806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, 12, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001665 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1009*w + 48. Let z(h) = 7065*h - 330. Determine -55*u(a) - 8*z(a).\nAnswer: -1025*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 967 by -812.\nAnswer: -967\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(16)\/sqrt(8))**2 - -5*(2 + sqrt(2)).\nAnswer: 7*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.63 + 15.513. Round t to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-1\/9))\/v)\/(v**(-21\/5)*v*v)*(v*v\/v**8*v)**(3\/8))**(-40) assuming v is positive.\nAnswer: v**(-437\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16405072 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)*w*w*w**(-7)*(w\/w**0)**41 assuming w is positive.\nAnswer: w**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -47*z - 15. Let a(k) = -40*k - 10. Let u(y) = -6*a(y) + 4*l(y). Let r(b) = b**2 - 2*b. What is u(r(q))?\nAnswer: 52*q**2 - 104*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184.3 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {s: 6, g: 8, l: 1, f: 1, u: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -841*d - 36. What is w(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -1 + -2 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 13. Let w(c) = 311*c + 333. Calculate the smallest common multiple of w(-1) and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(208))**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 239*o**2. Let k(r) = -574*r - 1. Give k(t(h)).\nAnswer: -137186*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (-8 - -39)) + 9 + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41197925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 4. Let y(f) = -9*f + 7. Let j(k) = -7*w(k) - 3*y(k). Calculate the least common multiple of (-4)\/(-26) - 1620\/(-117) and j(-13).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 90. Let h = -34 - v. Suppose 0 = -2*w + b + 54, -5*w + 135 = h*b - 4*b. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:15 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986640 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 209814 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 15*b + 22. Let d be x(15). Let v(y) be the first derivative of 3*y**4\/4 - y - 2. Let a be v(2). Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:49 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4088 = 319*s + 532 + 6864 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**2 + 0*d**2 + 3*d**2. Let f(r) = r + 75 - 75. Calculate y(f(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 10. What is the highest common divisor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -39 - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 1 + 1 + (73*s + 11*s + s)*(-s + s - s) + (0 + 0 - 4*s)*(2*s - 4*s - 3*s) in the form x + z*s + y*s**2 and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 37. Is (498\/15)\/(10\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1099 and 749411397.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 246979619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/85)\/((-1)\/15) + 7. Solve 0*i + 4*i + 2*u - 16 = 0, 10 = c*i - u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 5*t**3\/3 + 4*t**2 + 1013*t. Let w(r) = 22*r**2. Determine q(w(j)).\nAnswer: 220*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*p - 5*p = 50872, 3*l - p - 38150 = 0. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 4418540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/11))**(-9)\/(h**(-2))**(-24) assuming h is positive.\nAnswer: h**(-609\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + t**2 - 1. Let j(q) = -3*q**3 + 2*q**2 - q - 1. Let x(o) = 5*d(o) - 3*j(o). Determine x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*d + 9 - 9)*(-d - 1 + 1) + 2*d**2 + 0*d**2 + 0*d**2 + (d + 0*d + 0*d)*(1 - 1 + d) - 3*d**2 + 5*d**2 - 3*d**2)*(2*d - 3*d + 2*d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -4. Let u = m + -24. Let i(y) = y**2 + 5*y - 8. What is the lowest common multiple of 9 and i(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-13)\/(-24))\/((-2457)\/(-6552))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57667 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: Let r(j) = -2*j - 6. Let l be r(-5). What is the second derivative of -2*m**4 - l + 4 - 5*m - 2*m**4 wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i + 0*i + (3*i - i - 4*i)*(-4 - 1 + 3) - 2 + 2 + 2*i - 3*i - i + 6*i + (-49*i + 23*i + 19*i)*(3 - 5 + 0)*(-1 - 4 + 4).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -36. Let i be (6\/(-4))\/(15\/z). What is the units digit of (-3 + i)*(0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 0*s**2 - 3*s**2 + 4*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1476 - -2949. Suppose 815 + s = 8*m. Let j = m + 111. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26895, -27162, -27443, -27744, -28071?\n\"Answer: -r**3 - r**2 - 257*r - 26636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 6*10\/(-15). Solve q = 4*q - 5*b - 16, 2*q = v*b + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*m + 25, -4*k = -m - 33 + 13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43945016.\nAnswer: 2, 5493127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/(-248))\/((-12)\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*v + 1 + 17*v**3 + 29*v**3 - 4.\nAnswer: 46*v**3 + 47*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -133648*q - 801910. Calculate g(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12514 + 12489 = -5*d, -119 = 4*t - 35*d for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z - 32. Let a = -6 - z. Let t(m) = -4*m + 7. Let x(y) = -2*y + 3. Let o(h) = 17*h**2 - 51*h - 5. Let f be o(3). What is a*t(c) + f*x(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 minus 60937?\nAnswer: -60980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/4, -2\/3751, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 746 (c) -27702\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18051, -36127, -54193, -72243, -90271, -108271, -126237, -144163?\nAnswer: -162043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/68217567 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(304) + 0 + sqrt(304))*-3 - 5*(((sqrt(304) - (-3 + sqrt(304) - sqrt(304))*-2) + sqrt(304) - sqrt(304))**2 + 5).\nAnswer: -1725 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:19 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.71 - 0.09. Let h = p - 0.12. What is the third biggest value in h, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9028 by -148.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/3 + 286*z**2 - 7588*z\/3 + 3920 = 0. What is z?\nAnswer: 2, 7, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 6:15 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 8*j + 1. Let q be d(7). Let k = -3 - q. Solve 3*i - k = 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/306 and 103\/59976.\nAnswer: 59976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.61706906 + 1.\nAnswer: 0.38293094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/5 and 187\/5400?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 13*p + 40. Let j be f(-4). Let x be 1\/(-5) - 44\/(-20). Suppose 4 - x = y. Solve -5*m - j*c + 37 = 0, 1 + y = c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41244 divided by 20622?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-185*o**2 + 185*o**2 + 3*o**4)*(-5 + 2 + 1) - 103*o**2 - 309*o**4 + 103*o**2 to w*o**3 + k + h*o**4 + n*o**2 + z*o and give h.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 795415531 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 - 721 - 50663*m + 50663*m - 93*m**2.\nAnswer: -93*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*h - 30*h - 5*v - 5691, 0 = -5*h - 4*v + 14244. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 29\/1603951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-8 + 17 + -12 + -39 + -5)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1\/11, 2, 3.1, 4, 10, 7 in decreasing order.\nAnswer: 10, 7, 4, 3.1, 2, -1\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 72 = 48. Let g = -21 + k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704167710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/11 and (3\/7)\/((-502)\/3765).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 5798114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44287871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6306, 12506, 18572, 24432, 30014, 35246?\nAnswer: 40056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 351410 (base 9) to base 14\nAnswer: 56c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6415 (base 13) to base 8\nAnswer: -33064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 12) to base 9.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053.1465 rounded to the nearest 10?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, s: 9}. What is prob of picking 2 s and 1 x?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/9)*p)\/p**(-1\/2)*p**(11\/7)*((p\/(p\/(p**2*p*p*p)))\/p*p*p*p*p**(2\/9)*p*p)\/p**(13\/5) assuming p is positive.\nAnswer: p**(2339\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m + 6273 = -289*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4799 - 200?\nAnswer: 4599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*19\/(114\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3 + (-35)\/15 - 63. Let p(b) = -b**3 - 12*b**2 + 8*b + 25. Let z be p(-12). Let v = x - z. Sort 4, v, 2 in decreasing order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5605 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*u**3 - 241*u**3 + u - 149*u**3 + 77*u**3 - 425 + 428 to the form f*u + s*u**3 + x + a*u**2 and give s.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -c + 6, -3*c + 42 = -3*x. Let s be -4*(-2)\/(c\/12). Suppose 0 = -4*m + s + 146. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l + 21. Let b(s) = -8*s + 23. Let p be b(3). Let v(g) = -1. Calculate p*n(i) - 21*v(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 24*d**2 - 8*d - 2. What is g(-3)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4208, 3393, 2520, 1559, 480, -747, -2152, -3765?\nAnswer: -5616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-30)*-2 - (0 - 3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -1 (c) -2 (d) 0.3 (e) 0.5 (f) -0.0915\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -24*g**2 - 2*g + 13. Let s(f) = -12*f**2 - f + 6. Give -6*p(r) + 13*s(r).\nAnswer: -12*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - 98*o + 77. Give n(-33).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r - 2. Let d(f) = 14*f. Let h be d(2). Let w be 70\/(-88) + 7\/h. Which is the nearest to 1? (a) w (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4\/27 (b) 2\/11 (c) 5782\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114736 is divided by 1274?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**6\/120 - n**5\/10 - n**4\/8 - 4*n**3\/3 + n**2. Let s be h(-6). Let q = 0 + 5. Solve 0*v + q*v = -s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-14) - -19) + (-12)\/(-4)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-1755)\/72)*(-3)\/(-2)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8. Let s be n(0). Let o = s + 11. Suppose -t - o*t = -3*v + 13, 0 = -4*v + 2*t + 14. Solve -2*m + v*x = 3 - 1, -3*x = -3*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -0.04. Let q = 39 - 30. Let o = q - 14. Put 3, y, o in increasing order.\nAnswer: o, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 0*x = 130 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 327 = -s + 1401, 0 = p + s - 270. Suppose -7*x = -3*x - p. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**8\/336 - 2*x**7\/315 + x**6\/18 + x**5\/18 - 17*x**4\/72 - x**3\/3 + 156*x**2. What is h in j(h) = 0?\nAnswer: -3, -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -66.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3055*m - 308320 = 3969*m + 141216 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(405))*-1*5 + -2)**2 + (sqrt(405) + 3 + -1)**2 + (1*sqrt(405) - sqrt(405))**2 + -5.\nAnswer: 216*sqrt(5) + 10533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, 7, 70, 171, 316, 511, 762?\n\"Answer: w**3 + 10*w**2 - 6*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/45 or -93.5?\nAnswer: -93.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*y, 2*w + 13 = 2*y + 3. Let h be (6\/(-3))\/(y\/(-8)). Let x = h - -11. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sua when three letters picked without replacement from hhssshshusahhaqhahu.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 + 5*g + 4. Let x be h(-2). Let w be ((-25)\/10 - -4)*x. Which is the smallest value? (a) -11 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45, -87, -151, -237, -345, -475?\n\"Answer: -11*j**2 - 9*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 2*t**2 + 4*t + 3. Let n be d(-3). Suppose 9*s - 2475 - 1134 = n. List the prime factors of s.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 0.2, -0.4, -782, 2\/747, 0?\nAnswer: 2\/747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 5*q, -2*q + 5 = -4*k - 5. Let y(l) = -2*l**2 - 3*l + 1. Give y(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 - 5*h - 3. Give x(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 71730?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -290, 1410, 6278, 15898, 31854, 55730?\n\"Answer: 264*m**3 - 148*m - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 2*b**4\/3 - 4*b**3 - 13*b**2\/2 + 80*b - 1. Is v(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + 20, -2*w + 340 = 5*g. What is the least common multiple of g and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 - 0.55. What is the nearest to 2\/7 in -3, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 42 = -q. Let r(v) = -v**2 - 7*v + 24. Calculate the lowest common multiple of r(q) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6571, -13115, -19613, -26065, -32471, -38831, -45145?\n\"Answer: 23*r**2 - 6613*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204 + 209. Suppose b - 2*x = 281, b + 1118 = 5*b - f*x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-413)\/472*(-24)\/14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 46. Let t = -23 + g. Let r(h) = -h**2 + 8*h - 4. Let y be r(5). Solve -y + 1 = 2*o + u, 0 = t*o + 3*u + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8718fe (base 16) in base 12?\nAnswer: -2b6b852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102332 + 102332 + 112*i**3.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -34*p - p**3 - 15*p**2 + 32 - 5*p**2 - 3 - 11*p + 2*p**3. Calculate the remainder when ((-1)\/(-2))\/(2\/184) is divided by g(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f + 3*f - 9*f)*(0 - 2 + 0 + 3 + 2 - 4 + (-4 + 2 + 4)*(3 + 0 - 1) + 0 - 1 + 0).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.1 (c) -2242 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3053836 + 17939558 = 83*i + 3390671. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 12) + -10 + 22\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 284\/9?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - o = 2*h - 5*o, 14 = h - 5*o for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182280 or 0.61?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-516)\/1204)\/((-12)\/(-147)))\/(3\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(14\/13))\/(v*v**(4\/21)) assuming v is positive.\nAnswer: v**(-346\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*20)\/((-13)\/(-52)). Suppose 8*w = 2*w + g. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose -8 = -z*o + 10. Differentiate -o*h**2 - 2 - h**2 + 4*h**2 + 5 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 5880684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45141539 + 32493925 = 204*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 5) + -22 + 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-2074071849090\nAnswer: -2074071849087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11320658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 20 = -3*n, 80*v - 2*n - 61 = 78*v - 57 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 2*j + 2. Let m(g) = 41*g + 1929. Let h be m(-47). What is y(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 584 + -582.28. Which is the third smallest value? (a) 1\/7 (b) -2 (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*z - 5*b, 2*z + 5*b = b - 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3*(-10)\/90*15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1101001110010010111011 (base 2) to base 15\nAnswer: 487152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4\/7 + 888*c**3\/7 - 39990*c**2\/7 - 267000*c\/7 - 226125\/7 = 0.\nAnswer: -335, -5, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/341608 and 44\/29335587?\nAnswer: 234684696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5687*j*n**2 + 2*j + 61299*n**4 - 88995193*n wrt n.\nAnswer: 11374*j + 735588*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(450) + 0 + sqrt(350)\/(sqrt(7) - sqrt(7)*2 - sqrt(7))))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 89.089527*2\nAnswer: 178.179054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(11 + 2 + 1)*(-3*w + 5*w + 0*w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105295442.\nAnswer: 2, 7, 131, 57413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 25 = 2*d. Suppose -8*k + d = -7. Suppose -4*f - 4*u = -0*f - 548, k*f - 5*u - 539 = 0. Calculate the greatest common divisor of f and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6324 and 1886133?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, o: 3}. Give prob of sequence pdo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 69*x + 159. Determine l(3).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9 and ((-318)\/(-216))\/(9\/6 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203247*u = 203113*u - 2278 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705929 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, -57 in descending order.\nAnswer: 38, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w + 200. What is r(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/f)\/f**25 assuming f is positive.\nAnswer: f**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let j(w) = w - 9. Suppose 86 = -279*u - 193. What is u*j(m) - 2*t(m)?\nAnswer: -m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -10. Suppose 4*k - n = -1. Factor 36*v**2 + 3*v**3 + k*v + 3*v**3 + 9*v**3.\nAnswer: 3*v*(v + 2)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 27*u - 2. Let g(s) be the first derivative of -s**6\/360 - 5*s**3 + 44. Let y(i) be the third derivative of g(i). Determine w(y(q)).\nAnswer: -27*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -338853000 rounded to the nearest 1000000?\nAnswer: -339000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 611.768 - 611. Let y = w - 0.7682258. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 18747761?\nAnswer: 18747755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 127*l**2. Let q(p) = -5*p - 6. Calculate m(q(c)).\nAnswer: 3175*c**2 + 7620*c + 4572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1885 (b) -3\/7 (c) 0.3 (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.09. Let p = f + -0.39. Suppose r - 13 = -2*z, 0*z = -5*r + 3*z. Which is the second biggest value? (a) p (b) 0.03 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51116 divided by -12779.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 1. Let z(l) = -61*l**2 + 9*l - 6. Let o(x) = -3*r(x) + z(x). Suppose 0*d - 24 = -5*d - 9. Let y be o(d). Round y to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + 4\/(-10). Suppose c = -3*m + 2*s - 20, -s = -3*m - 0*s - 16. Let j be 55\/45 + m\/18. Let d(w) = -8*w - 1. Give d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*u = 235, 5*u + 60 + 14 = -t. Let s be -2 + -4 + 4 + -95 - 3. Let f = t - s. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) 0.1 (c) 4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -180810370?\nAnswer: -723241480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0 + 5 = -2*q, 4*q = 3*o - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/68 (b) -1\/7 (c) 3 (d) 0 (e) -2251\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let a(v) = -v**2 + 7*v - 7. Let i be a(5). Suppose -p*m = i*m - 30. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + 5 + -5 - sqrt(209)\/(sqrt(176)*5).\nAnswer: -41*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + 2*z, 3*h = 2*z - 6*z + 22. Let a be h*-1 + (19 - 12). Solve -5*r + a = 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Suppose -16 + 4 = -f*k. What is the third derivative of 0*s**2 + 2*s**2 - 9*s**3 + 8*s**k wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ees when three letters picked without replacement from {s: 1, h: 2, d: 1, e: 2, z: 2, q: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/217 and 25\/93.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14410874 to the nearest integer?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.69174487 to two decimal places.\nAnswer: 12.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-6 - -5)*(-18 + 2) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -284006700 to the nearest one million.\nAnswer: -284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-6)*((-135)\/(-48))\/((-1365)\/(-1092))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z + z)*(-z - 2*z + 2*z) + 4*z**2 - 3*z**2 - 2*z**2 + (3 - 3*z - 3)*(107*z + 5*z - 234*z).\nAnswer: 363*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 118. Let r be c(-41). Sort -4, r, -11, -3\/5.\nAnswer: -11, r, -4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4313102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/3 - 662*j**3\/3 = 0?\nAnswer: 0, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -21*y + 575. List the prime factors of c(-75).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 0.183, -3\/2 in decreasing order.\nAnswer: 0.183, 0.14, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a**3 - 2 - 20*a**3 - 3*a**2 + 4 - 3*a. What is the remainder when w(3) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 6)*(3 + -5). Suppose -326 = -r*v - 3*b + 24, 5*v - 885 = -5*b. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - -1) + (-10 - (6 + -11 + 3))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9864*o*q*x**2 + 19*o*q*x + o*x**2 - 102949309*o*x + 3*q*x**3 + 2*x**3 wrt q.\nAnswer: -9864*o*x**2 + 19*o*x + 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 89\/19?\nAnswer: 89\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/3467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:26 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39800*u**4 - 46255*u**2 wrt u?\nAnswer: -955200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -0*s. Suppose 0 = -j - 4*b + 15, s*b = -j + 7*b + 7. Let k(h) = -h - j - 2*h + 4*h + 3. Give k(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*h + 4*c, -7*h + 4*h - 2*c - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 146.53. Let x = -1.27 + p. Let w = 0.2 + -0.2. Which is the nearest to w? (a) x (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/10*11\/(-44)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 680.\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.15, 9\/5, -0.08, 4 in ascending order.\nAnswer: -0.15, -0.08, 9\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4691 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*h**2*q**3 - 64*h**2*q**2 - h*q**2 wrt q.\nAnswer: 126*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let j(h) = 12*h**3 + h**2. Let y be j(1). Let k be -1*2 + (y - -1). Let p(x) = 26 - 26 - k*x**2. Determine p(a(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4, -5, -2\/3, -98, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n - 142 + 502. Solve 99*l + 15*l + 3*l**2 + 1728 + n*l = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(147)*-3.\nAnswer: -126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/(16\/(-96))*3\/42?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8661.6399819 - -8662.051. Let i = -0.411 + d. Round i to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q - 4*q**3 + q**3 - 2 + 3*q**4 - 4*q**4 - 6*q to the form f*q**4 + m*q + d*q**3 + s + j*q**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 - 77*r**2 + 37 - 37 as w*r**2 + n*r + i and give w.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 7)*(-3 - -2). Let c(q) = 5*q - 3. Let r(w) = -11*w + 6. Let t(i) = -7*c(i) - 3*r(i). Let f be t(p). Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (0 - 3 - -4). Let k be -3 - (z - -1) - -406. Let o = k - 227. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((4\/2)\/(728\/(1316\/47)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102396, 102405, 102416, 102429, 102444, 102461, 102480?\n\"Answer: i**2 + 6*i + 102389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y + 1. Let u(l) = 4*l**2 + 8*l + 6. Determine -u(z) + 5*w(z).\nAnswer: z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/20 - 5*p**4\/6 - 13*p**3\/6 - 2*p**2 + 3*p. Does 13 divide c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 585*u + 37. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 10, o + 498 = -5*u - 125. Let m = o - -1130. List the prime factors of m.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2412 and 23048.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 326*b + 13. Let t be v(-5). Let p = t - -6429\/4. Calculate the common denominator of ((-2)\/(-30))\/(4\/414) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Let m = 9 - 9.1. Let u = 100 + -104. Which is the nearest to m? (a) u (b) 4\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-70))\/((-87)\/(-406))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n**3 - 8*n**2 + 53*n - 127. Let m(p) = 7*p**3 - 4*p**2 + 27*p - 63. Let b(r) = 6*k(r) - 11*m(r). Let d be b(4). Solve 2*g = -3*g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Let b be t(-4). Suppose 0 = -2*u + 5*u - 30. Let h = b + u. Calculate the remainder when 13 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + o = -3*o + 12, -o = -3*r + 2. What is the third derivative of 13*u**3 + u - 3*u + 3*u**3 - 9*u**3 - 7*u**r wrt u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37678 - -43172. List the prime factors of o.\nAnswer: 2, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01941 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t - 6. Let r = 451 + -61. Let n(l) = r*l - 392*l - 2 + 2 + 2 + 1. Determine -9*n(j) - 4*v(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*k**2 - 1 + 1 - 16*k + 1020*k**2.\nAnswer: k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*a + 10 - 341, 0 = -a + 2. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4 (c) 6 (d) 48517\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {u: 5, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*h**2 + 1083*h**2 - 8629*h**2 - 4637*h**2.\nAnswer: -12473*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - -50775?\nAnswer: 50848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*j + 10 = 0, -i + 3*i + 6 = -5*j. Let c(x) = 11*x**2 + 4*x - 5. What is the remainder when c(i) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0704 - -0.06. What is g rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) - sqrt(450)*-4)*2)**2 + ((sqrt(40)\/(sqrt(20)\/sqrt(5)))\/(-1*sqrt(20)\/sqrt(4)))**2)*1.\nAnswer: 45002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/9)\/(1\/(-15)). Suppose s + 4*r + 19 - 1 = 0, 5*r + g = 0. Let d(l) = 8*l**2 + 0*l**2 + l**s + 6*l**2. Let j(f) = 3*f**2. Give j(d(h)).\nAnswer: 675*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -40*b - 15. Give m(-3).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 306. Suppose -2198 = -43*q - x. What is the remainder when 215 is divided by q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585815 greater than or equal to 585815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) 1.997 (c) 1401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000108039 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 15*r + 66 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -34.\nAnswer: -21\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 25*h. Let y(x) = -2126*x**2 - 3. What is q(y(t))?\nAnswer: -53150*t**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = -2*a, -4*b - 48 = 5*a - a. Let l be (-4799 + -1)*625\/b. What is l rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2148 = 30*u - 4302. Solve -217*q = -u*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7534550.54 to the nearest ten thousand.\nAnswer: -7530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/8*64974\/(-3213))\/(2\/4). Let a = 28 + -2. Calculate the greatest common divisor of a and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1548 - 1547.6. Is -8 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297363?\nAnswer: 3, 11, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.23, -1, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*f + 14 = 37, 4*x = 2*f + 6. Find the common denominator of 93\/68 and x*339\/18 + 4\/(-3).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 4*z + 8 - 5)*(-2*z**3 + 4*z**3 + 0*z**3).\nAnswer: 6*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = -2*o, -3*o + 2*w + 5 - 13 = 0. Let p = 0.3 - 0.6. Which is the third biggest value? (a) 0 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7154 = 89*m + 5*m - 74*m + 29*m for m.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 1621, 2260, 2863, 3418?\nAnswer: 3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/8 and ((-2)\/9)\/(16\/(-1308)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -j - 3*j. Let n be j\/(((-8)\/12)\/1). What is the common denominator of -47\/18 and ((-185)\/n)\/5 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 2*x**3 + 0*x**3 + 13*x**2 + 16*x**2 - 50*x**2 - 1 - 7*x**2 as z + r*x**3 + g*x + f*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 - 72 = -4*s, -4*a = -3*s + 33. Suppose 0 = 2*p + p - 495. What is the highest common factor of p and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 5\/2*x**2 + 1\/3*x**4 + 0 + 15*x + 1\/6*x**3 + 1\/20*x**5. What is l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 3*t + 3, 3*t = 4*f + 7. Suppose -16 - 24 = -t*b. What is the least common multiple of b and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21511?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*t**5 + 3*t + 26.\nAnswer: 1980*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from mmgmbnmbmmmmmnmmmmm?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b + 134. Calculate the remainder when 398 is divided by b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnbghggnngn. Give prob of sequence nggb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227877 is divided by 191?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i + i)*(0 + 5 - 3) - 4*i + i + 2*i + (-1 - 3 - 2)*(0 + 0 - 3*i).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*a + q + 18, 0 = 4*a + 2*q + 6. Find the first derivative of -17*t**3 - 2 - a - 2 + 7*t**3 wrt t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13037 times -1108\nAnswer: 144.44996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 + 123. Let y be (x\/12)\/(6\/(-9)) + -7. Let z(f) = 5*f + 5 - 2 - 2*f. Calculate z(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-12 - -19) + (0 - 17) - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 129. Suppose c - 74 = -4*u - c, 5*u - 4*c = w. Solve 3*g + 5 - u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 41. Let j(t) = t**3 + 4*t**2 - t + 3. Let n be j(-3). Calculate the greatest common divisor of c and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 5. Suppose 8*z - 7*z - b = 0. Let u(l) = -l**3 + 14*l**2 + 4*l - 3. What is the units digit of u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000176141 rounded to 7 decimal places?\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnf when three letters picked without replacement from ffnc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(39*6\/78)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 32400?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539 and 765380?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r - 135 = -4*q, 5*q - 165 = 3*r. Let u = -33379 + 33381. What is the highest common factor of q and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -120, -233, -346, -459?\n\"Answer: -113*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001777208 rounded to six dps?\nAnswer: 0.001777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Suppose h*y = 7*y + 16. Suppose 0*w + 3*d = -5*w + 6, 0 = -5*w - 5*d. Sort w, y, 4 in descending order.\nAnswer: 4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -100*b - 94*b + b**2 + 187*b - 9. Suppose -q + 0*q + 8 = 0. Give g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-2*1))\/1. Let v be 5504 - (-3)\/(-3)*0\/(-8). Suppose -2*o + 3*y - 2*y = -2766, -4*o = x*y - v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13446 (base 7) to base 5\nAnswer: -104120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1626834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 728104, 1456095, 2184096, 2912113, 3640152, 4368219, 5096320, 5824461?\n\"Answer: y**3 - y**2 + 727987*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 1570*x - 19560.\nAnswer: 5*(x - 326)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*j = 3353 - 9053 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsfzk. Give prob of picking 1 s and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53775830.4 rounded to the nearest 100000?\nAnswer: 53800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, m: 5}. Give prob of picking 2 v and 1 m.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 379 = -89. Let o = f + 154. Let h(i) be the third derivative of i**6\/60 + i**5\/60 + i**4\/24 + i**3\/6 - i**2. Give h(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 103. Calculate the common denominator of 41\/27 and g + (-2036)\/756 + (-4)\/(-14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-12) - 6\/8. Let b be (14\/10 - 1)\/(-1). Let t = -8.2 + 8. Sort d, b, t in ascending order.\nAnswer: d, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:53 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 6*j - 5. Let y be m(5). Suppose -s + y*s = -2. Find the second derivative of -s*x**5 + x - x + x wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -43, 4, -13, 0.2366?\nAnswer: 0.2366","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (559\/((-53664)\/(-1152)))\/(6\/(-32))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + 160\/(-5) + 19. Put -3, -1, -195, v in increasing order.\nAnswer: -195, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*c**3 + 418*c**3 - 913*c**3.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/16 + -3\/16. Suppose 6*u - u - 126 = -4*t, -3*u - 142 = -4*t. Let v = t - 41. Which is the third smallest value? (a) y (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 28 = 0. Let c = t + -34. Which is greater: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22421 - 21232?\nAnswer: -44053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.13. Suppose 0 = -2*t + 15 - 9. Let r be 4\/(-8) + t\/12. Which is the third biggest value? (a) r (b) -2 (c) z (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 336.536mm?\nAnswer: 0.336536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - p - 15*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/504008 - -5734481\/140114224. Find the common denominator of -15\/44 and z.\nAnswer: 24464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/5760 and 85\/648.\nAnswer: 51840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 34 = 2*n. Suppose -4*h - 8*h + 384 = n. Calculate the remainder when 52 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-6)\/6 + 4\/(-2). Put g, -4, -5 in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83937 is divided by 8886.\nAnswer: 3963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:52 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3661?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -721585.55 and 10?\nAnswer: 721595.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 + -2?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187260 + 118737 = 25*u + 61722. What are the prime factors of u?\nAnswer: 3, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.0384?\nAnswer: -0.4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*c**3*h - 29*c**2*h + 2*c**2 - 193*c + 4553295*h wrt c?\nAnswer: 75*c**2*h - 58*c*h + 4*c - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvbvbvvbbvvv. What is prob of sequence vvv?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -290 - -289.828. Let i = n + -39.028. What is i rounded to zero dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*h - 1 = -7, -5*l - 4*h = -15. Suppose 5*b + l*s - 169 = 136, 2*s = -2*b + 126. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - m + 42 = 0, 3*a - 129*m + 130*m = 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 + 2141\/10. Let z(p) be the third derivative of g*p**4 - 1\/150*p**5 - 3\/5*p**3 - 5*p**2 + 0 + 0*p. Factor z(o).\nAnswer: -2*(o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2 - 1. Let h(j) = -9*j**3 - 3*j**2 - 5*j - 5. Let n(b) = -8*b**3 - 2*b**2 - 4*b - 5. Let l(c) = 5*h(c) - 6*n(c). What is l(y) + 5*x(y)?\nAnswer: -2*y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d**(1\/12))**(-1\/10))**(-1\/78) assuming d is positive.\nAnswer: d**(71\/9360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/20 + 6\/(-15). Which is the second biggest value? (a) 1\/6 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5078 = 23*y - 971. Let o = 2631\/10 - y. Let u = 79 - 475\/6. Which is the smallest value? (a) 0.5 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.1, 0.37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, -482 in decreasing order.\nAnswer: 0, -22, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32028 - 32028.015347. Round d to 4 dps.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebeebellbnl. What is prob of picking 2 l and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495*z + 465*z + 136 - 46 = 0. Solve 0 = 3*v + 4*t, -t - 32 = -5*v + z*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d - 6*d = 6248. Suppose x + 55 = -2*g, 175 = -2*x - x + 4*g. Let l = -28 - x. Calculate the remainder when d is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 17*o**2 + 2. Let n be c(17). Let b be (81\/n)\/(9\/18). Let z = b + -46. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.352343 + 3.21834654. Let w = v - -0.134. Round w to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1902498 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*n - 98*n + 10 - 14*n**2 + 9*n**2.\nAnswer: -5*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(250))\/(sqrt(4)\/(sqrt(2) + sqrt(32)) + sqrt(2)).\nAnswer: -25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:42 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s - 3. Let p(g) = -14*g + 7. Suppose 8 = b + 1. Let a(l) = b*q(l) + 3*p(l). Let h(m) = 4*m. Determine a(h(r)).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1422 - 16?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (4 - 3)*-9. Factor -v*w - 5 + 2 + 4*w**3 - 7*w**3 - 4*w**2 - 5*w**2.\nAnswer: -3*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, -0.4, -7\/5 in ascending order.\nAnswer: -7\/5, -1\/2, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10871, 20071, 29273, 38477?\n\"Answer: f**2 + 9197*f + 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 163 + 89 = 0. Let c = i - 34. Suppose 0 = c*s + 8 - 4. Sort -3, 5, s in descending order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3194 is divided by 789?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 12241*c**3 - 12237*c**3 - 3*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -455540?\nAnswer: -455542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14 = 3*r, -2*l = -4*l - 5*r. Suppose -6 = -l*m - 1. What is the derivative of 0 - m + 3*u**4 - u**4 wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 365359*d**4*l + 4207380*d*l + 5*l + 2 wrt d?\nAnswer: 40*d**3 - 4384308*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h - 15. Let t be (-3)\/(-3)*1*-1*27. Let k = -9 - t. Calculate the remainder when v(8) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6345 and 123957.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6910 or -6905?\nAnswer: -6910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -6. Suppose -2*z + 11 = -3*t, 12 = 16*z - 17*z + 5*t. Solve 5*v + z = -2, v + j = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (55\/(-44))\/((-5)\/24). Let t be c + (-3604)\/300 + 6. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 252200 = -5*r, -r - 2 = -4. Suppose -t = 3*m + 183558. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d + 2 + 2769*d**2 - 27*d + 55*d.\nAnswer: 2769*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 22. Suppose 3*l + y*m - 35 = -m, -5 = 2*l - 3*m. Suppose -5*i + v = -35, -4*i + l*i - 13 = -v. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6109031 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*i - 8. Suppose -16 = -5*j - 2*z, 0 = -j - 5*z - 7 + 24. Let g be (-2 + 1)\/(j\/(-84)). What is the greatest common divisor of i and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38952 and 1464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 11*t + 40. Does 24 divide x(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j = -715 + 97 + 96 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 364396 or 364233?\nAnswer: 364396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/6)\/4*(-2)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t = 93, 9*t - 226 = 4*h + 7*t. Let n be ((-242)\/((-1)\/(-1)))\/(-2). Let i = h + n. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 68. Let c(l) = -6*l + 2. Let m(w) = -2*w + 1. Let a(x) = q*m(x) - 6*c(x). Let j = -6 + 1. Determine a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.7044\nAnswer: 1.4088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -725 + 1318. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5673984008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/69)\/((-655)\/(-198858)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 9*y - 1. Let t(f) = 3*f**2 - 8*f. Determine -2*b(w) + 3*t(w).\nAnswer: w**2 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2 + 1488*j - 1492 = 0.\nAnswer: -373, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -756*o + 51. Let w be y(-4). What is the greatest common divisor of 41 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-220) - (-570598)\/20405\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 734*x**3 + 2986*x - 2986*x + (0*x - x - x)*(0*x + 0*x + 2*x**2) as y + o*x + k*x**2 + s*x**3 and give s.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q - 1127 = -96*q - 13*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17568 divided by -4392\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)\/((-21)\/(-402)). Let o be (264\/(-7))\/2*1. Let b = o - q. Sort -0.1, b, 4\/7 in ascending order.\nAnswer: -0.1, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2153 + -3927. Is 6\/4 - n\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 352*a**3 - 1722*a**2 - 2052*a.\nAnswer: -2*a*(a + 2)*(a + 3)*(a + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:18 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(-2)*(-40)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.161 - 2.901. Let l = o + -0.26. Which is the nearest to 0? (a) -5 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:29 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133201 - -1?\nAnswer: 133202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:50 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (44 - 51) - (4 + 0)) + (-60 - 1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 603, 273 in decreasing order.\nAnswer: 603, 273, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 7*r**2 - 3*r - 7. Give a(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 39*s**2 - 5*s**2 + 8 - 6 - 39*s**2.\nAnswer: -86*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 + 7 = 5*p, -r - 2*p = -9. Let f(u) = 11*u + 5. What is the tens digit of f(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.8. Let t = 0.038 - 9.038. What is the third biggest value in -2\/3, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3887, 4011, 4219, 4511, 4887?\nAnswer: 5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let u = -54730 + 54731. Let d = -0.5 - 1.5. Which is the nearest to w? (a) 0 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*s**2 - 56*s**2 - 72*s**2 - 14*s**2 - 2*s**2 to y*s**2 + w + j*s and give y.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 - 36*h**2 - h + 24. Determine n(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.894 * -3\nAnswer: 8.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.0459097 take away -2?\nAnswer: 576.0459097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1118522 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 83*c + 360. Let b(l) = 3*l**2 - 55*l + 240. Let i(z) = 7*b(z) - 5*q(z). Let n be i(4). What is the highest common divisor of 1552 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 4 + 8*x**3)*(-x - x - x) - 73*x**4 + 44*x**4 + 32*x**4 to a*x**4 + v*x**3 + w*x**2 + k + d*x and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/9 (b) 1\/4 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**5 + 25*n**4 + 45*n**3 - 61*n**2. Let s(q) = 12*q**5 - 33*q**4 - 60*q**3 + 81*q**2. Let x(k) = -9*f(k) - 7*s(k). Find j, given that x(j) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/67 or -6.9?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**3 - 18*r**2 - 9*r - 6. Let v(i) = 4*i**3 - 15*i**2 - 10*i - 5. Determine 5*a(z) - 6*v(z).\nAnswer: z**3 + 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**2 - 9*b + 36. Let l(p) = -7*p**2 + 5*p - 36. Let v(o) = 4*i(o) + 3*l(o). Factor v(n).\nAnswer: 3*(n - 4)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - 12. Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 125415*n - 501740 = 0. What is n?\nAnswer: -4, 25087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1827)\/(-377) - ((-22)\/(-26) + -1). Suppose c*h = 795 - 80. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41735 to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 24\/7, -3, -35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480, -2369, -5670, -10383, -16508, -24045?\nAnswer: -32994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26350 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15152208817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012756 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11000001110011000110010 (base 2) to base 15\nAnswer: 8568e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 8}. What is prob of sequence yfy?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*d**5*o + 3*d**3*o*z + d**2*o + d*o - 3*d*z + d + 2*z + 8 wrt d?\nAnswer: -2140*d**3*o + 18*d*o*z + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 28*i + 39. Give g(26).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 4*u**2 + 5*u + 2. Let w be f(5). Suppose -3*l + 4*s = -702, 4*l = -2*s - s + 911. Suppose 0 = -3*h - w*h + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83135 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030905 to six decimal places.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from yiyyyyyyyifyyyyify?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:06 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - (-410)\/(-20). Let b = -35 - l. Let u = b + 58. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(733 - 15*f**2 - 733) + (-3*f + 3*f - 3*f)*(3 - 3 - f).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 355, 1108, 2339, 4042, 6211, 8840?\n\"Answer: -d**3 + 245*d**2 + 25*d + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, z: 1}. What is prob of sequence cccc?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n - 15*n + n**2 + 5*n.\nAnswer: n*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/((sqrt(42)\/sqrt(3))\/sqrt(7)))**2 + 2 + -4*(0 + sqrt(363)) + 3.\nAnswer: -44*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81\/8 or 9?\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1727827.839 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3361, -3359, -3357, -3355, -3353?\nAnswer: -3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54071.08ug to grams.\nAnswer: 0.05407108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from {z: 3, e: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 354, 731, 1110, 1491, 1874, 2259?\n\"Answer: u**2 + 374*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 24 = -2*w, -718*s = 5*w - 716*s + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2559\/27673 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7\/2, -0.3, -2.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 79858 * 538\nAnswer: 42963604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/5 - 766*s**4\/5 - 7946*s**3\/5 + 32854*s**2\/5 + 370152*s\/5 + 66024 = 0. Calculate s.\nAnswer: -10, -6, -1, 7, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903 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: Convert 2.366892 kilometers to micrometers.\nAnswer: 2366892000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21109)\/(-263610) - (3 - 850\/290)?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012079 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-28)\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3261147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -10. Let t(j) = 3*j + 8*j - z - 9*j. Let b be t(4). Solve 7 - b = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21253 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 12*x - 16. Let i be s(-3). Calculate the remainder when -534*i\/(-28) - (-4)\/(-28) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602407.\nAnswer: 1602407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4740*x**3 - 14179*x**3 + 4719*x**3 + 4816*x**3.\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 - 16414?\nAnswer: -16475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*w - 4*a, 4*a - 8 - 6 = -2*w. Let h(l) = -l + 11. Let j be h(w). Suppose -j - 2 = 4*n. Put n, -5, 3 in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11503\/60260 + -4\/655. Find the common denominator of (7930\/(-65))\/((16\/2)\/(-1)) and n.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-64)*-12)\/(6\/(-59)) and -24\/23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -243, -1093, -3161, -7053, -13375, -22733, -35733?\n\"Answer: -101*o**3 - 3*o**2 - 134*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 682.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/6 - 14*v**3\/3 + v**2\/2 + 12*v. Let c(h) = -h**2 - 19*h + 1. Let l(m) = 7*c(m) - 5*i(m). Factor l(z).\nAnswer: (z + 2)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*m + 2 = 0, -2*m = -5*q + 2*m + 66. Let r be (-4)\/10 - (-24)\/q. Let i = -4 + 4. Solve i = -r*u - 5*c + 6, 12 = 4*u - 0*c - 2*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29978?\nAnswer: 2, 13, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 685.09994993 + -685.1. Round d to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2527 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 + -184. Suppose -3*y = 5*w - 15, -2*w = 13*y - f*y + 56. Solve y + 10 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/4*16\/6. Let u = -16 + 8. Let f = 162 + u. Calculate the greatest common divisor of f and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(56\/(-32))*(-35)\/(-2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzcbzbbbbbbcbbb. What is prob of sequence cbb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, w: 2}. What is prob of sequence gggg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-7))\/((-8)\/28) - 4. Let g(j) be the first derivative of -5 - 48*j**d - 6*j**4 - 3\/5*j**5 - 48*j - 24*j**3. Let g(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(11)*1) + 1.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -15*t + 336. Suppose -23 - t = -13*l. Solve 5*b = l*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g + 4. Let v(y) = -8*y - 3. Let m(j) = 3*p(j) + 4*v(j). Let u(x) be the first derivative of x**3 + 4. Give u(m(o)).\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8459.06 * -2.\nAnswer: 16918.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8) + 12 + -36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2*c + 14, 0 = -p + 5*c + 2 + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -457 - -503. Put 0, 1, w in ascending order.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -18*g**5 + 2740*g**4 + 65174*g**3 - 6470360*g**2 + 86040792*g = 0?\nAnswer: -502\/9, 0, 23, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-402)\/(-67))\/((-18)\/(-4))*-6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 521*i**5 + 2*i + 532.\nAnswer: 10420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 50494 - 50525 - 68*k**2 to f*k + j*k**2 + o and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 5. Let v be u(-6). Let g = -1 - -2. Let c be 1 + v - (-11)\/g. Calculate the highest common divisor of 99 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183651123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34354, 0.4, 7, -0.11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12*-3*-43*-1. Let i = g + -34. Suppose -3*h = -8 + 2, -5*h = 3*n - 13. Calculate the greatest common divisor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(80) + -1 + 4 - (0 + (sqrt(80) + 1 - sqrt(80)))))**2.\nAnswer: 144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) -902 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**(2\/5))\/z)\/z)**5)**20)**(-24) assuming z is positive.\nAnswer: z**1440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(343))*-6 + sqrt(175) + 0 + sqrt(175) + -1 + -3 + -4)**2.\nAnswer: -592*sqrt(7) + 38348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + 12\/18. Factor 0*a + 0*a**4 + 0 + 1\/6*a**3 + r*a**2 - 1\/6*a**5.\nAnswer: -a**3*(a - 1)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24\/7 - -685\/14. Calculate the common denominator of -57\/22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1898\/52 + -37 + 29\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -8. Let c = -772 - -771. Let g(i) = -4*i**2 - 2*i + 2. Let l(h) = h**2 + h - 1. Calculate c*g(t) + q*l(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*k - 54, 4*o + 18 = 3*k + 44 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 7. Let v be l(-8). Suppose -v = -m - 3*m + q, -1 = -m - q. What is the third derivative of m*f**6 + 2*f**6 + 2*f**2 - 5*f**6 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 118697.\nAnswer: -59348.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4190464824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/48 - (-2)\/(-4). Which is the third biggest value? (a) s (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2953.26681 to the nearest 10.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.224*-22327.56.\nAnswer: -5001.37344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 + 5 - (-1 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8 + ((-19)\/(-2) - 3). Suppose 6*k - 93 - 117 = 0. Find the third derivative of 13*l**2 + k*l**2 + 190*l**6 - 232*l**q wrt l.\nAnswer: -5040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by -9 - (-19 - (125 + -16))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (10 + -10 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w + 14. Let n be f(0). What is the second biggest value in n, 10, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/22 and 59\/252558?\nAnswer: 2778138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -6)*9\/(-20). Let t = f + -61\/10. Let h = 630 - 625. Which is the closest to -1? (a) h (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*l**3 - k*l**2 + 3*k*l + 89*l**3 - 14*l wrt l.\nAnswer: -12*k + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 2, x: 4, a: 1, m: 2, f: 2}. What is prob of picking 1 v, 1 c, and 2 x?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 31*i**2 - 4*i - 24. Let m(k) = -7*k**2 + k + 1. Calculate -f(q) - 4*m(q).\nAnswer: -3*q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**3 - 4*v**2 - v + 4. Let r(o) = -35*o**3 - 14*o**2 - 4*o + 11. Let g(m) = -19*n(m) + 6*r(m). Calculate g(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/45)\/(1\/(-5)). Suppose -375 = -y*o - 60. Let b be (7\/o)\/((-2)\/(-5)). Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 179. Let s(m) be the second derivative of 0*m**2 - 7\/9*m**v - 1\/20*m**5 + 7\/18*m**7 + 5\/9*m**4 + 0 + 2\/9*m**3 + m. Suppose s(x) = 0. What is x?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - ((0 - 5) + 3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 541 = -3*x, 0 = -5*x + 5*b - 3*b + 925. Calculate the highest common divisor of 51 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4124729 is divided by 78?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -1\/2*d**3 - 2*d**2 + 22*d + 0. Let a(k) = 8*k + 11. Give 4*a(g) + 11*o(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 48681.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13716049 and 1.\nAnswer: 13716050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 4. Let m(w) be the third derivative of -w**4\/24 - 2*w**3 + 10*w**2. Let n be m(-14). Solve r*u + 2*x = -2*u + n, -4*x = -20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14652.3 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -7 + 5, 5*s = h + 174496. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074421 to the power of 1\/2, to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 131. Suppose -3*d - g = -88. Let s = 5 + -2. Solve -2*v = s*v - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8997880\/7 less than -1285411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96631, 96620, 96615, 96616, 96623, 96636?\n\"Answer: 3*v**2 - 20*v + 96648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 9*z = -4, -z + 4 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 - -0.65. What is the closest to y in 3, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 36 = -15*k. Suppose -12*i + 84584 = -k*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145687007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -13.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885.88 rounded to the nearest 10?\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/13 and -91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 46*c + 27. Let o be t(-31). Let w = o + -516. Solve 6 + 1 = -w*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 4 - 4 + 23*c**3.\nAnswer: 23*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -107 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 121 - 119. Calculate the smallest common multiple of 30 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 - 426. Find the common denominator of 137\/24 and 6\/a*46 + 9\/(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {o: 2, j: 7, z: 1, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 19 = -l - 22, -5*r + 7 = -l. Suppose -l*v + 17 = 2. Solve -10 = 5*u - v*c, -3 = -3*u - 2*c + 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975402178 to the power of 1\/3, to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17642548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tosou. What is prob of picking 3 s and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 4*s + 59 + 3*s**2 - 2*s**2.\nAnswer: s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 3, c: 2, h: 3, d: 1}. What is prob of picking 2 c?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10086 and 615?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.9513098 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*3\/(-18). Let t be (3\/12*-4)\/(-3 - -2). Which is the nearest to t? (a) n (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 533*l - 533*l + 108*l**3 + (2*l + 0*l - 3*l)*(4*l**2 - 3*l**2 + l**2).\nAnswer: 106*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89372.\nAnswer: 2, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Let w be (-2 - -3)\/(-1) + z. Put w, 4, 3 in ascending order.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/120 - 2*c**3\/3 + c. Let w(z) be the second derivative of l(z). Let a(x) = -2*x. Determine a(w(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllalhiyvihliii. Give prob of sequence ia.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkfefekkcfekzkke. What is prob of picking 3 k and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 + 20901*x + 6223*x.\nAnswer: 27124*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 + x - 5. Let l be r(4). Suppose 3*v + 3 = -2*i, -9 = -2*i + 2*v + 3. Let c = i - 3. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4\/3 (c) 2.22 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*p - 3*d + 24, -3*p + 7 = 4*d. Suppose 0 = p*z - 4 - 1. Suppose -m + q + 7 = 4*q, 4*m - 4*q = 12. Solve 2*n = t - z, -10 - 7 = m*t - n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 2*g + 4. Give f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 3*r - 2*w + 476, 5*r + 4*w = -796. Let o be r\/(-35) - (-9)\/21. Suppose 3*y = o*y - 8. Solve -y + 3 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chcchchccccc. What is prob of sequence hhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 931*o**2 - 464*o**2 - 450*o**2 - 217 with respect to o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 - 2*d**2 + 2*d - 2. Let v(p) = 5*p**3 + 2*p**2 - 5*p + 5. Let c(g) = -7*t(g) - 4*v(g). Calculate c(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:06 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(816)*2 - sqrt(816)) + sqrt(612)\/(sqrt(36)\/sqrt(3)))\/(sqrt(192) + (sqrt(192) - ((1*sqrt(192) - sqrt(192)) + sqrt(192)))*2).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 16*g - 13. Let i be l(-15). Suppose 3*r = -5*p + 342, -p - i*r + 54 = -20. Let y be 6\/(-9)*p\/(-11). Put -1, -2, y in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 31*k - 51. Let g be r(29). Differentiate -85 + 19*x**2 - 12*x**2 - g - 14*x - 6*x**2 wrt x.\nAnswer: 2*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*n - 129*n - 2378 = 2065 + 2359 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-910)*-5)\/((-6)\/14)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22.2 * 1.9\nAnswer: -42.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -243240021 (base 5) in base 11?\nAnswer: -715607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*q + 15 = 8*q, 0 = -4*c + 3*q + 14. Let d(b) = 2*b + 3. Let w be d(c). Solve -z = -5*j - 10, 3*j + 4*z = 4 + w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 + 189*s**4 - 3930*s**3 + 26886*s**2 + 3933*s - 27075 = 0. What is s?\nAnswer: -1, 1, 19, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*u - u. Suppose -3*w + u = -w. Let f be (w\/(-22))\/((-24)\/16). Which is the second biggest value? (a) -2 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 123 = 4*x - 16, 2*x = -4*m + 92. Does 36 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 71.9.\nAnswer: -287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*m + 5*s, -4*s = -5*s - 3. Let i = m - -18. What is the units digit of 192\/i + 18\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.7416mm in centimeters?\nAnswer: 9.87416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21\/2 (b) 0.2023 (c) -4 (d) 3\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2. Let d(n) = 620669558*n**2. Determine d(y(u)).\nAnswer: 620669558*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -7\/41 (b) 7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*y + 450. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688293951 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-8)*(-8680)\/27125?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10328 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 5*b**2 - 2. What are the prime factors of p(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 23 - h**2 + 2*h**2 + 0*h**2. Is k(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-91 - -8)*((0 - 1) + -37). Suppose 5*c = 24*c - u. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.532333 and 4.\nAnswer: 2.129332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let d be 0\/((6*1)\/g). Let w = -0.13235 - -0.03235. Which is the biggest value? (a) w (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**2 + 95*u - 500. Give h(-12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10022120 (base 4) to base 3.\nAnswer: -212101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18034 and 0.5?\nAnswer: 9017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 - g + 5. Let k be m(4). Suppose 3*v + k = 22. Calculate the remainder when 74 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -919*i**3 + 461*i**3 + 460*i**3 - 121*i + 1 - 2 in the form g*i**2 + r*i + u + v*i**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 20 = 2*t, 10*t + 5 = -q + 5*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 47, 2 in descending order.\nAnswer: 47, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 5*m**2 - 6*m + 4 + 3*m**2. Let g be j(6). Suppose 0 = 3*r - r - 56. What is the highest common factor of g and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8149*n - 8154*n + 3*w + 136, 2*w = 4*n - 108 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 2.3, -1, -1006, 3\/2?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.978 plus 0.09?\nAnswer: 16.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from ffaaaauaffaaaaaaafaa.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3*w - 3*w + 5*w) + w + 2*w - w + (2 + 0 - 6)*(2*w - 2944643 + 2944259 + 0*w).\nAnswer: -7*w + 1536","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 7*c - 1. Let z be q(-5). Let t(v) = -7*v + 2. Let a(m) be the first derivative of -2*m**2 + m - 13. Determine z*a(g) + 6*t(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -2*sqrt(500)) + sqrt(20) + 0 + sqrt(45)\/(sqrt(567)\/sqrt(7)).\nAnswer: 70*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgb when three letters picked without replacement from cpcbgqgf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 103335462.\nAnswer: 103335462.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*4*(-2)\/132*-9\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.46 + -1.86. What is the nearest to 0.23 in c, -4, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31ba4 + 0?\nAnswer: 31ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5716*l**3 + 3748*l.\nAnswer: -34296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d789 (base 14) to base 10.\nAnswer: -75581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14878 at least 14859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (2 - 9) + 0. Let p(z) = -22*z**2 - z. Let t be p(-1). Let k = d - t. Solve -k = -5*o + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -5\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 16*u**3 + 29*u**2 - 32*u**2.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 3.\nAnswer: -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*d + 2*d**3 - 3*d**3 + 69*d - 320*d + 28*d**2 - 27*d**2 - 1 to y*d + t + j*d**3 + n*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**17)**(1\/10)*(b**(-20)*b)\/b**5)**(-2\/25) assuming b is positive.\nAnswer: b**(223\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200 - -324. Let n = 70 - y. Let w = 50 + n. Which is the fourth biggest value? (a) 1 (b) -3 (c) w (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:43 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7385 and -7.\nAnswer: -51695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*g + 0)*(0 - 1 + 2)*(0 - 2 + 1).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1.678 (c) 8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = 0, 2*v + 2*c = c + 165. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aab - 9?\nAnswer: aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511044891?\nAnswer: 3, 7, 157, 155003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -350 + 350. Is -0.1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000115768 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-22)\/(-4)*-1*(-254)\/1397).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 19*r + 5. Let f be v(19). Put 1, -2, f, -4 in decreasing order.\nAnswer: f, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 27 = -m, m = 2*g + 6*m. Let f(p) = 4*p**3 - 4*p**2 - p - 1. Let h(d) = -3*d**3 + 4*d**2 + 2. Let w(l) = 4*f(l) + 5*h(l). Calculate w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1024\/583 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 304*d**2 + 17*d - 5211. Determine n(304).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*((sqrt(605) + (sqrt(605) - (sqrt(605) + -1 + sqrt(605)))*1 + (sqrt(605) - (sqrt(605)*-2 + -1)))*6 + -3))**2*-4.\nAnswer: -3137764 - 60192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292524 divided by 2566.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 - 63 = 3*v - u, -190 = -5*v + 5*u. Suppose 35 = 8*y - v. Solve 10 = x + 3*n, -4*x - 2*n - 1 = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a317c8 - 7?\nAnswer: -2a31802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 24, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10945908?\nAnswer: 2, 3, 43, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 10\/(-4) - (-9)\/6. Solve q*c + 3 = x - 13, 28 = 2*x - 5*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28253 times -0.2\nAnswer: -5650.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111000 + 100?\nAnswer: 1011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 216, 6\/7, -2, -0.2?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 17}. What is prob of sequence hjh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t. Let y(l) = -69*l. Calculate y(b(j)).\nAnswer: 276*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091403 rounded to 4 decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 9*f - 36. Let h = f - 12. Suppose -h*d = -109 - 11. Calculate the least common multiple of 4 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -397*o + 57168. Give z(144).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let k(h) = 3*h**2 + 2. Determine 7*j(i) + 3*k(i).\nAnswer: 2*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/f**(-1)))\/f)**(-4)\/(f\/f**(2\/13)*f**(-1)*f*f)*((f\/(f*f**(2\/5)))\/((f\/(((f*f**2)\/f)\/f))\/f))**(-9) assuming f is positive.\nAnswer: f**(-211\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 27252*r - 136314. Determine a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 94\/4*(-30 + 32).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -471, -996, -1707, -2592, -3639, -4836, -6171?\nAnswer: -7632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 138?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 18*d + 32894 - 32430 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6. Let q = 3 - h. Solve -q*r + 7*r = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2749998*d - 4. Let t = -8 + 0. Let m be (t - -7)*(1 + 1). Let k be g(m). What is k rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**2 + 9*d**2 - 7*d**2 - 11*d.\nAnswer: 22*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 5*j, 5*d - 4*d = 3*j - 7. Let m(h) = -h**3 - 4*h**2 + 3*h + 1. Let r be m(-5). Suppose d*b - r = 41. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*a - 486, -2*u + u + 4*a + 218 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 5) in base 14?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 20*v + 22. Let n be s(-4). Suppose 0 = -46*r + 28*r + n. Solve -4*o - 7 = -y, 2*y - r = -2*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -161 - 180a07?\nAnswer: -180b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 12) to base 7.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.4 * 0.93.\nAnswer: 54.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/((-3)\/1)*((-976)\/(-64))\/(-61)*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:28 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605321743?\nAnswer: 13, 46563211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-56) + (-1 - (-3510)\/8). Let z = -436 + m. Calculate the highest common divisor of 29 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*z = -0*t - 160, 0 = -4*t - 4*z + 156. Differentiate -6*x**2 + t*x**2 + 5*x**2 + 19 wrt x.\nAnswer: 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 - 5*v - 4. Suppose -9 = -9*u + 18. Suppose -2*x + 4*a = 0, u*a = -a + 8. Suppose 5*b = x*b - 5. What is s(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 24*i**2 + 93*i - 9. What is m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (9 - -3) - -19) + -25 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 45. Let x be (s - 1)*(-1 + -2 + 3). Let k be 1\/(-4) + ((-23)\/4 - x). Let w(l) = -l. Let p(u) = 4*u + 1. Calculate k*w(g) - p(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15256 + -6?\nAnswer: 15250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -2*p - 25, 5*a - 5 = -3*p. Suppose 0 = -a*m + 47 + 113. Suppose -4*n + m = -0*n. Solve 3*b = 4 - n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -775.6 - -713. Let s = f - -60.6. What is the fourth biggest value in 2\/7, -0.1, s, 3.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11946673, -11946671, -11946669?\nAnswer: -11946667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 + 39*x. Calculate j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21209313 to the nearest integer?\nAnswer: 4605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/((-78736)\/222)*(-203)\/3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + 9 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (-11 + 35 - 12 - -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 1. Let d(c) = 3*c**5 + 12*c**4 + 12*c**3 - 3*c**2 - 18*c - 9. Let q(f) = -d(f) - 3*z(f). Factor q(m).\nAnswer: -3*(m - 1)*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -13, 1, -419.33 in increasing order.\nAnswer: -419.33, -13, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -18 + (-12 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -334.92 times -19\nAnswer: 6363.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let m be w*(17 + (-2 - 0)). Let i = 30 - 27. Calculate the greatest common factor of i and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 100292, 100039, 99786?\n\"Answer: -253*d + 100545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770247 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 27. Let x = 12 + -17. Let z be g(x). Solve -2*a - 6*b - 18 = -2*b, 2*a - 3*b - z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2723, 979, -3753, -12967, -28157?\nAnswer: -50817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/119 and 64\/63.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkqqknssnbbq. What is prob of sequence sn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/4531 + 42851\/1173529. What is the common denominator of f and -25\/111?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 0*b + 0*b + (-b**2 + 1 - 3*b**2 + 2*b**2)*(-4*b**2 - 2*b**2 + 4*b**2).\nAnswer: 3*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3578051 or 3578016?\nAnswer: 3578051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2665, 2673, 2681?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/(-1)*177\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 2, -0.48, 17, -1.\nAnswer: -1, -5\/6, -0.48, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onto when four letters picked without replacement from {n: 2, o: 2, z: 1, d: 2, t: 1, i: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(33)\/(sqrt(66)\/(sqrt(24)\/sqrt(4)) + sqrt(11)) + -1 - (-1 + -5 + sqrt(75)*-2))**2.\nAnswer: 105*sqrt(3) + 1403\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1354499099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 738\/5?\nAnswer: 738\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/4 - -1) + 852. Let n = z + -508. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 4*y - 1. Calculate the remainder when 2\/11 - 24864\/(-462) is divided by h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, c: 3}. What is prob of picking 2 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 265*c**2 + 9*c + 6. What is the hundreds digit of x(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236*z - 593*z - 111*z)*(4 - 2 - 1 + (1 + 0 - 3)*(2 - 1 - 2)).\nAnswer: -2820*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, g: 7, o: 2, e: 3}. What is prob of picking 1 d and 2 e?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.5, 32\/9?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 14775?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/11 + -123\/44. Let r = 190 - 130. Let h = r + -59.9. What is the third biggest value in h, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswsw. What is prob of sequence ssw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -7*m**4\/3 - m**2 + 12*m. Let i(x) = x**2. What is i(u(v))?\nAnswer: 3136*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 5*q + 5. Let v be u(4). Let p(c) = -2*c**3 - 226*c**2 - 2244*c + 11. Let h be p(-102). Solve -3*l + 4*w + v = 4, -h = l + 2*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224202001 (base 6) to base 8.\nAnswer: 17562161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 4*p - 22. Give y(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 41. Let q = 0.4 - 2.1. Let g = h - q. What is the nearest to 1 in 1\/5, g, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**4 + 21*c**3 - 2*c**2 - 11. Let r(i) = -21*i**4 - 85*i**3 + 7*i**2 + 44. Let w(u) = 9*l(u) + 2*r(u). Find the third derivative of w(g) wrt g.\nAnswer: 72*g + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -15, -3*w + 1 = -x + 5. Let t(r) = r**3 + 4*r**2 - 4*r + 3. Let z be t(x). Let c be 1\/1 - 2 - z. Solve 8 + c = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118348118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/25 and -59\/92200.\nAnswer: 92200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 1 + 38. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 28. Let k(o) = o**3 - 2. Let l be k(0). Let x = s + l. Solve 0*u - 5*u - x*z = 0, 4*u + z + 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvivivvvvvvmzv. What is prob of picking 1 z, 2 i, and 1 v?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -154537 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150, 153, 158, 165, 174, 185?\n\"Answer: v**2 + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28497 (base 11) to base 14\nAnswer: 10aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g + 1. Let h be q(-9). Solve 3*d - 9 = 5*z - h, z = 2*d + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.1093?\nAnswer: -0.1093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5131 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: What is -359 + 309 - (-526)\/10?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3807 and 9165?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 2) + 2 - -9. Let v be (-208)\/470 + d\/15. Is -1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = 0, 3608 = -0*h + 4*h - 4*u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 148*h + 1064. What is y(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/2 + 9 + (-4946)\/4. Let p = 2948 + o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3\/7, 284?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 5*k**4\/4 - 19*k**3\/6 + 13*k**2 - 2*k. Let o(m) = -3*m**2 + 4*m - 5. Let a(f) = -2*l(f) - 11*o(f). Factor a(j).\nAnswer: 3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6012 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7895 - -7931. What is the remainder when 152 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(216)\/(3*sqrt(12) + sqrt(12)))\/(sqrt(72)\/((sqrt(12) - (sqrt(12) - -3*sqrt(12))) + sqrt(12) + sqrt(12))).\nAnswer: -sqrt(3)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10*x*x\/x**(1\/5))\/(x**10)**39 assuming x is positive.\nAnswer: x**(-1891\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.375 + -2.055. Let b = f - -3.03. Sort 0.2, 0.4, 0.1, b.\nAnswer: 0.1, 0.2, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*u**3 + 261*u**3 + 281*u**3 - 683*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**2 - 3*o + 0 - 1\/4*o**4 + 0*o**3. Let b(n) = -n - 3. Let k(m) = -2. Let g(j) = 2*b(j) - 3*k(j). Calculate g(t(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2*(-9)\/3. Let 727*t**3 - 1464*t**q + 732*t**3 + 5*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7*v + 23. Let c be p(-9). Suppose c*w - 5*t = 285, 3*w - 263 = -w - 3*t. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 5, o: 5, m: 1, j: 4}. Give prob of sequence jm.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -380 (c) -0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 24514, 41, -0.1?\nAnswer: 24514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 7\/30*g**3 + 0 + 49\/20*g**2 + 24*g + 1\/120*g**4. Factor h(d).\nAnswer: (d + 7)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288744.\nAnswer: 2, 17, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -65. Let a(u) = -u**2 - u + 9. What is a(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44992 and 362976?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4*n - 1)*(900*n + 4693 - 4693 + n - 2*n - n + 0 + 0 - 2*n + (-1 + 2 + 0)*(n - n - 2*n) + n + 0*n + 0*n) to the form j*n + y*n**2 + t and give y.\nAnswer: -3580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-11.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 4*c - 1. Let m be l(3). Let x = 37 - m. Suppose 154 = f + 4*y, -x*f - 2*y + 325 = -409. What are the prime factors of f?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) - (-32)\/14. Let n = -0.15 + 6.15. Let q = -8 + n. What is the second smallest value in q, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - 118.5. Let w = c - 46. Let p = 10 + w. What is the nearest to -1\/4 in -4\/3, p, -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -75\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8003 or 12342?\nAnswer: 12342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d + 35. Let l = d - -50. Let h = 24 - l. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z = z - 350. Put -5, 1, 4, z in ascending order.\nAnswer: z, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p**3 - 2*p - p**2 + 21*p**3 + 2*p**3 - 1. Let n be 10 + -2 + -2 + -7. Give r(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(0 - -12)*(-27)\/(-12). Let i be ((-9)\/(-6))\/(4 + 2). Let -d*f**2 + 0 - 1\/4*f**4 - i*f - 3\/4*f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**8\/112 + 7*u**4\/24 + 5*u**3\/3 + 15. Let c(o) be the third derivative of g(o). What is the derivative of c(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 1 - 19*s + 3*s - 7*s**2 wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l - 8. Let b = l - -6. Suppose 0*g = -b*g. Which is smaller: -6\/5 or g?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 4*u**4 - 8*u**2 + 32*u**3 - 43*u**3 + 5*u**4 = 0. What is u?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 8990 = 3*t - 5*s, 2*s + 1786 = t. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -153*h**2 - 9*h. Let l(d) = d**2 - d. Determine 9*l(b) - z(b).\nAnswer: 162*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (104\/20)\/13 + (-18)\/(-5). Which is the third biggest value? (a) -5 (b) n (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + b - 5 = -3, -3*b = -a - 6. Which is greater: -9\/8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 35 = 2*m + 5*o, -4*m + 4*o - 84 = 0. Calculate the lowest common multiple of 8 and (m\/(-6))\/((-4)\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -185 (b) 1 (c) 12 (d) 1\/3 (e) -3 (f) -27 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37534.62s to milliseconds.\nAnswer: 37534620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:59 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28006 and 8.\nAnswer: 112024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f. Sort -4, f, -5 in ascending order.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -432, -1233, -2426?\nAnswer: -4011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 533890440 a multiple of 6885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(2*1)*21\/63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 62*z**3 + 699*z**2 - 37*z - 2472. Calculate m(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -39.9. Let o = -0.167 - -7.167. Let n = o + b. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d + 62*d = -49*d - 11*d + 7400 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45720 and 2880.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*b + 24. Suppose r + 9*l - 4*l = b, -r + 2*l = -5. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quz when three letters picked without replacement from {v: 3, u: 2, q: 2, o: 4, z: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 286 = 194. Suppose -3*b - p - 35 = -5*x, -4*x = 2*b - 124. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*u + 14, 5 - 3 = -w. Let z(o) be the second derivative of 2*o**3\/3 + 3*o**2 + 5*o. Let i(b) = -5*b - 7. Give u*z(h) + 5*i(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 374 + -1 + 237 + -232?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25662 divided by 94.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbo when three letters picked without replacement from {c: 2, o: 1, l: 2, p: 1, b: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 28. Let h be y(16). Solve 5*x = -5*v + 8 - 3, -5*v + h*x = -32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzxzfazzlfzzzzzzzz. What is prob of sequence lz?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3716151 by -1238717.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1885, -9642, -22561, -40636, -63861, -92230?\nAnswer: -125737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -356*k - 49*k + 10125 + 403*k to n + b*k and give n.\nAnswer: 10125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/347 (b) 2\/19 (c) 5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*a - 4*y, -3*y - 28 = -a - 2*y. Let j be a\/6 + 17 + -22. What is the nearest to 0 in 5, -14, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201178 + 0.14?\nAnswer: -201177.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*p + 6 + 69 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 2*x - 8. Let m(v) = -8*v**2 - 5*v - 16. Determine -5*c(a) + 2*m(a).\nAnswer: -a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18134, -71908, -161558, -287078, -448462, -645704?\n\"Answer: j**3 - 17944*j**2 + 51*j - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-75) - 308\/735?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, 0, 0.4, 10, -1, 1650.\nAnswer: -4, -1, 0, 0.4, 1\/2, 10, 1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0 + a + 0*a**2 + 1\/6*a**3. Let y(i) = 0*i**2 + i**2 + 0*i**2. Give z(y(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*l - 68, -5*h = 2*l - 50 - 53. Suppose 5*t + 11 = 4*t. Let m be t\/h + 2\/3. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:03 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-6)\/28)\/(((-837)\/(-72))\/31).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 238694075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 3*r + 26. Let c be f(-9). Suppose 1180 + c = 6*g. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:32 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x**2 - 5*x**2 + x**2)*(-2*x + 2*x - x) + 8*x**3 + 4850 - 4850.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 3456.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:55 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = 44 - 136 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1436480767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let a(x) = -8*x**2 - 5. Let f(i) = -4*i**2 - 2. Let s(y) = 2*a(y) - 5*f(y). Calculate s(u(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 9*t - 103. Let h be m(0). Let c = h + 113. Let f be -1*c\/(-15)*3. Solve 18 = 4*w - f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/1*20\/(-320)*8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2.2, 0.3, -4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 189 + 186 + 11*f**4)*(0 + 0 - 2*f).\nAnswer: -24*f**5 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*v + 62, -4*y - 1 = -v + y. Suppose -44 + 50 = 3*z, -246 = -3*c + 3*z. Does 6 divide (-48)\/c + (-778)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4 - 3*o**3 + 12*o**2 + 12*o = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f**5\/5 + 19*f**4\/5 + 13*f**3\/5 - 19*f**2\/5 - 6*f\/5 = 0. Calculate f.\nAnswer: -1, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6534 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -198 + 89 + 57 + 52 + 5982*p + 2*p**2 in the form x*p**2 + w + s*p and give s.\nAnswer: 5982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 2 + -2 + 2 + (3 - 6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4093477, -4093475, -4093473, -4093471, -4093469?\n\"Answer: 2*c - 4093479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2978 + 2990. Sort 0, -1\/7, -9\/5, 0.2, w in increasing order.\nAnswer: -9\/5, -1\/7, 0, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v - 4. Let w = v + 2. Put -2\/3, -3\/7, w in increasing order.\nAnswer: -2\/3, -3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3117.78 rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**4 - 18*c**3 + 18*c**3 + (0*c**3 + 2*c**3 - c**3)*(2 - 2 - c) - c**4 + c**4 + 2*c**4 + 5*c**4 + 6*c - 6*c.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20098\/(-39))\/((24\/270)\/(-2)).\nAnswer: 3, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhe when four letters picked without replacement from hhhehhhhhhehehhhhh?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293197 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716390300833.43 take away 2?\nAnswer: 2716390300831.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -224.190134 and -45.\nAnswer: -269.190134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.77811 rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 12*t - 17. Let u be c(10). Sort u, -2, 0, 5 in ascending order.\nAnswer: -2, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 4*o - o - 4*o + 6*o + 0*o + (-3 + 3 + o)*(6 - 2 - 2) + (-15 + 4 - 2)*(-128*o - 221*o + 62*o) to the form g + k*o and give k.\nAnswer: 3737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.03 (b) -22 (c) -0.5 (d) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 4.7. What is the nearest to -4\/7 in 3, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/((i*i*i**(1\/9)\/i)\/i))\/(i**(-3\/2)*i**4*i*i*i*i)*(i**1\/i*i)**(-18\/11)\/(i*(i\/i**(2\/3))\/i)**(-6\/11) assuming i is positive.\nAnswer: i**(-2785\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-36))\/((-23)\/10 - -2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 6*z + 18. Let u be w(-5). Solve 0 = 3*r + 5*o - 3, u = 5*o - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9300 and 483972?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 337.7 and 430125368531.\nAnswer: 430125368868.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16195931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 2\/499, 0, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -22 + (-9 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 6 = 1. Let h(v) = 11*v**2 - 2*v - 2. Let m be h(l). Let c = m + -9. Let s(w) = -w + 4. Give s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o - 2. Let i be d(-2). Suppose 108 + 44 = 8*c. Let n = c + i. What is the remainder when 43 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from behkene.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 7)*(2 - 4 + 4)*(3*t - 2*t - 2*t + (-6 + 4*t + 6)*(3 - 2 - 4)).\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 5 - 5)*(-3 + 2*i + 3) - 566 - 568 + i**2 + 959*i**3 + 1718 - 584.\nAnswer: 961*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(14\/6 + -3). Let q(x) = -x**2 - 2*x - 1. What is q(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-161)\/189 - 1)*(-39)\/(-4). Let v = p + 68\/9. Let j = -983\/287 + -6\/41. Calculate the common denominator of v and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191915867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3604953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 25 = -36*o. Solve -o*r - 13 = 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61669283.\nAnswer: 13, 29, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302324853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832)*1 - sqrt(156)\/(sqrt(60)\/(sqrt(15)\/sqrt(3)))) + 1.\nAnswer: -17*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 6 + 5 + 2 + -12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9284 - 9269. Let g be (-2)\/7 + (-436)\/(-7). Suppose -b - 3*u + 6*u + g = 0, -3*u = b - 86. Calculate the remainder when b is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/3)*d)\/d*d)\/d**(-1\/5))\/(d**2\/d**6) assuming d is positive.\nAnswer: d**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12737934 and 47\/25475868.\nAnswer: 25475868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 14*t - 20*t - 1 + 37*t.\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143483 + -133.95?\nAnswer: -133.806517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/33481?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -1\/4, -0.2, -590 in ascending order.\nAnswer: -590, -1\/4, -0.2, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, f: 2, m: 4, r: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 + -229. Let q = 391 + -396. Sort 2, n, -4, q in decreasing order.\nAnswer: n, 2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 4. Suppose -3*o = 3*m - 351, 36 = 3*m + y*o - 311. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 16*h + 29. Let o(g) = g**2 - 4*g - 7. Let x(f) = 9*o(f) + 2*y(f). Suppose 16*c - 24 = 6*c + 16. Determine x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 120. Let h = n - 40. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 27. Let f be z(-15). Let a = f - 7. What is the greatest common divisor of a and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/29)*w*w**21 assuming w is positive.\nAnswer: w**(636\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 19, 64, 141, 262?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 + 356*n**2 + 5510*n + 6728.\nAnswer: 2*(n + 29)**2*(3*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 + 4*x**2 + 4. Let n(t) = 17*t**3 - 10 - 3 - 5*t**2 + 2 - 6*t**2. Let k(c) = -11*m(c) - 4*n(c). Let k(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-4) + (-3)\/(-12). Let b(k) = -4 + 3 + 3 + t*k - 9*k. Let g be -4 + 70\/15 - (-66)\/(-18). Calculate b(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {g: 3, n: 4, e: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4507218030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -16. Let g be (-4)\/((-12)\/j) + (-1 - -4). Suppose -4*h + 5*h - 4*m - 56 = g, 5*m = 5*h - 235. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 721, 1370, 1887, 2206, 2261?\n\"Answer: -11*s**3 + 726*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111111000 (base 2) in base 3?\nAnswer: 10111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1*-2*1. Let q = -3 + x. Suppose a + q = 4. Let s(n) = -n**3 + n**2 + 3*n + 3. What is s(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let i(d) = 3*d. Let q(y) = -6*i(y) + 17*w(y). Let b(t) = 3*t. What is q(b(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 749641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c**3 + 0*c**3 - 4*c**3)*(-1 + 1 - 2*c) - c**4 + 2*c**2 - 2*c**2 + c**4 + c**2 - c**2 - c**4 + 2*c**4 - 2*c**4)*(-135 - 83 + 279).\nAnswer: 183*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3126, -2898, -2512, -1962, -1242, -346, 732, 1998?\nAnswer: 3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101111001001001?\nAnswer: 101111001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-3 + 2*sqrt(3))**2)*-4.\nAnswer: -52*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**4 - 21*n**3 - 28*n**2 - 111. Let s(h) = -7*h**4 - 20*h**3 - 24*h**2 - 110. Let z(d) = 6*l(d) - 7*s(d). What is the derivative of z(m) wrt m?\nAnswer: 28*m**3 + 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 788 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**5\/10 + l**3\/3 + 31*l**2 + 20*l + 2. Differentiate s(b) wrt b.\nAnswer: 6*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3011.99994561 + 3012. What is d rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1649 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140657*4.\nAnswer: 4562628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 651 - 693. Calculate the remainder when 890 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65 + -7 + 32\/4. Suppose 5*u = -0*u - w - 9, 0 = 4*u - 3*w + 11. Let y = z - u. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 59. Let s(f) be the second derivative of 17*f**4\/12 + f**3\/3 - 3*f**2\/2 + 5*f. List the prime factors of s(a).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 + -150. Suppose 2*h + 5*p + 55 = 4*h, q*h = 3*p + 53. Calculate the greatest common factor of 625 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3556 + -1440. Suppose 4*b + k = 3*n - 14155, 3*n - 3 = 0. Let i = -846 - b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(224\/126)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 30*c**3 - c + 16*c**3 + 0*c. Let r(z) = 85*z**3. Give 4*r(n) + 25*x(n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 5*c - 35 = 0. Let w be (-3)\/2*-4*2. Let n = w - c. Let a(d) = d**3 - 6*d**2 + 6*d - 4. Give a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 118*o - 5. Let g be i(1). What are the prime factors of -19*g\/(-3) - (-49)\/147?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k. Let d(p) = -4*p - 8*p + 9*p. Determine d(x(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 19*h - 1340. Let u = -9 - h. List the prime factors of u.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*31\/(-744)*(-36)\/28?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*((b*(b**(-2)*b)\/b)\/b)\/b)\/b**(1\/4))\/(b*(b\/(b\/b**(1\/7)))\/b*b\/(b**6*b)))\/(b**(-7)*b\/((b\/b**(-1\/5))\/b))**(-40) assuming b is positive.\nAnswer: b**(-6843\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y\/y**(-1))))\/(y*y**(-4)))**(-1\/64)\/((y**1)**(-2\/7)*(y**1)**(-1\/2)) assuming y is positive.\nAnswer: y**(81\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 363592, 2908782, 9817168, 23270350, 45449928, 78537502, 124714672?\n\"Answer: 363600*g**3 - 2*g**2 - 4*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l - 4. Is l*((-4083)\/6 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.5 + -0.0483?\nAnswer: 186.4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81514 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 2 + 13 + (27 - -18)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01564633 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18372 at least -587863\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -894*n - 14. Let a be p(-4). Suppose 0 = -5*g + i + a, 6*g - 4*i - 3553 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - 45 - (-21 - (7 - 9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8228*c**5 - 1853*c**2 wrt c?\nAnswer: 493680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + 302353?\nAnswer: 302432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -25*p + 2911. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 813\/(-21) - (10*14\/1050 + 80\/525).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25.938. Let s = 0.07 - i. Let x = -0.0178 + s. What is x rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114000 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y**2 + 43*y**3 + 7*y + 7*y + 34 - 42*y**3 - y. Let w be u(14). Is -6 + 116\/w + 39892\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 17992*x**4 - 71832*x**3 + 324000*x**2 + 1941948*x + 2426760 = 0.\nAnswer: -4494, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, -3, 0, 1 in ascending order.\nAnswer: -3, 0, 1, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q + 0*q - 3*q)*(0 - 2 + 4) - 2*q - q - 2*q - q - 2*q + 4*q)*(-4 - q - 1 + 4).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -14*w**3 + 1208*w**2 - 346*w + 442. Give x(86).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.1. Let p = 52679\/4 + -13170. What is the second smallest value in -1\/9, -10\/13, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 137 = t - i, -3*t + 391 = i. Suppose 1398*a - 1397*a - 12 = 0. Suppose -t = -6*n - a. Solve 5*f + 4*k - n = 16, 0 = 4*f + k - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 12*v**7\/7 + v**3\/2 - 9*v**2\/2 - 2*v + 6. Find the second derivative of i(f) wrt f.\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 881 + -192. What is the remainder when d is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717067?\nAnswer: 11, 139, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccpccppkckkkc. Give prob of sequence cpc.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 + 8. Let x be o(-7). Let m(s) = s**3 - 9*s**2 + 11*s - 4. Let a be m(x). Solve -4*v - 2*c = -10, -3*c + 0*c - a = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-24)*3*9\/((-27)\/(-114)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -16, -39, -70, -109?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57091207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*y**2 + 1160*y + 460 = 0. What is y?\nAnswer: -46, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + v + 36. Let k be t(10). Let c = 337\/2 + k. What is the common denominator of c and -33\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(396)))**2 + (-1*sqrt(77)*3)\/sqrt(7).\nAnswer: 537*sqrt(11) + 3789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/60*l**5 + 0*l + 1\/60*l**6 + 1\/8*l**4 - 1\/3*l**3 + 9*l**2 + 0. Let v(j) = 3*j**3 + 2*j**2 + 5*j - 3. Give 5*k(s) - 3*v(s).\nAnswer: s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-1))\/(0 + 2). Suppose i - 3*i = s. Solve -4*u + 0*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 10*q + 6. Let n(l) = l**3 + 7*l**2 - 2*l - 4. Let v be n(-7). Let w be p(v). Solve 0 = 4*f + 3*j - 5*j + 12, -2*j + w = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178962 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 968, 4, 2, -4, 239, -1.\nAnswer: -4, -1, 2, 3, 4, 239, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9515 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78)*-1*5)\/sqrt(6).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 22 = r, 5*i - 4*i + r = 6. Solve -i*c + c = -6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/9)\/4*(-30)\/(-35)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46546102 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 231\/(-385)*37\/42 and 17\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-2) - 2) + (-3)\/6. Let o be (-1)\/w + -59*6\/(-36). Solve 6*r = 4*r - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -40*h**2 + 4*h**2 + 11*h**2 + 13*h + 10*h**2. Let w(c) be the first derivative of 7*c**3\/3 - 3*c**2 + 1. Give -6*r(v) - 13*w(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 6. Let x be k(-3). Suppose p - x = -d, 0 = -0*p - 4*p - 8. Suppose -10 + d = -4*y - 5*n, y - 4*n = -4. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157.467 + 157.5. Let w = -0.34 + 0.24. What is the second biggest value in r, 1, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*90\/(-108) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 420*h - 424.\nAnswer: 4*(h - 1)*(h + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4276\/5 + -854. Let s = 10 + -9.9. Are s and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238c4 (base 13) to base 14\nAnswer: -19aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3403726 to the power of 1\/2, to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 55*z - 56*z + 4*z**2 - 2 - 2*z**3. Let w(u) = -3*u - 3. Let r be w(-3). Let b = -4 + r. What is y(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/54815052 and -19\/442706.\nAnswer: 602965572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 1\/3 + -1*(-46)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2466\/(-24) + (-5 - -4). Let z = t - -104. Suppose 0 + z*b + 1\/2*b**2 = 0. Calculate b.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*c - 40. Let v be (-12 - -2)*(-104)\/208. Solve w = v*w + c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) - (-224)\/3528.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4007*s - 3975*s - 304 = 48 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 16, 2\/57759 in increasing order.\nAnswer: 2\/57759, 2.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*p + 325, -2*p + 4*j + 76 = -54. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-473)\/(-4) + (-21)\/(-28). Let w = o + -593\/5. Which is the closest to w? (a) 3 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 4*x + 3. Let i = 106 + -68. Suppose i*d - 35*d = 6. Determine w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c - 59. Let d be l(8). Let u be (72\/(-60))\/(9\/(-30)). Sort d, 2, u in ascending order.\nAnswer: 2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302 (base 5) to base 6.\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 + 15*s + 56. Let f(k) = 6*k**2 + 14*k + 56. Let y(q) = -3*a(q) + 4*f(q). Differentiate y(t) wrt t.\nAnswer: 6*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 1875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*q - 0*s - 20, 4*q - 4*s - 16 = 0. Suppose 3*t + 4*y - 16 = -0*y, 2*t - 4 = q*y. Suppose g + 3*f = 44, -g - t*f + 86 = g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -5*j**3\/3 + 2*j + 6. What is the first derivative of f(o) wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 5*y**4\/12 + 95*y**3\/6 - 105*y**2 + 86*y + 2. Suppose h(o) = 0. Calculate o.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 4\/15 (b) -122 (c) 0.3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*9)\/((-1521)\/(-1690))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-6))\/(2*(-1)\/4). Let k(m) = 7*m - 45. Let u = 15 + 0. Calculate the smallest common multiple of u and k(w).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (21\/(-18) + (-4218)\/(-684) - 14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56501 (base 7) in base 12?\nAnswer: 8345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 76*o + 5397. Calculate the remainder when 234 is divided by x(-68).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/5591 + 11193\/61501. Let f = 258\/5 - 619\/15. What is the second biggest value in f, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/390)\/(4\/(-78)) - 10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3451 + -3451.4. Sort -180\/11, -2\/15, l in descending order.\nAnswer: -2\/15, l, -180\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*v - 4. Suppose 4*c - 5*c + v = 0. Suppose -c = h - 11. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*h**3 - 294*h**2 - 54*h - 3514777.\nAnswer: 30*h**2 - 588*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 41088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/28 + 2*w**3\/7 + 781. Find h such that q(h) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613999.\nAnswer: 613999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693862 divided by 1346931?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 1571*j**2\/4 + 294787*j\/2 - 1154140.\nAnswer: (j - 965)*(j - 598)*(j - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:25 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 15) to base 12.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 102. Let n = 5.6 - 10.6. Which is the third smallest value? (a) n (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 76.74. Let w = 0.24 - k. What is the nearest to -0.1 in 0.01, 3\/5, w, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (-1 + sqrt(1053) + sqrt(1053))**2).\nAnswer: -108*sqrt(13) + 12651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1001001?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k**2 - 1)*(k**2 + 1 + 91*k + 23*k**3 - 91*k).\nAnswer: 23*k**5 + k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 158548, 317205, 475862, 634519?\n\"Answer: 158657*r - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1639? (a) 1\/469 (b) 2 (c) 5 (d) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 5 = -46*a. Suppose 0 = 2*x + 3*x - 20. Let n(v) = -v. Let y be n(-10). Solve -5*r = -a*s - y, 4*s = -0*s - x*r + 32 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1558 + 926. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(72)*-1 + -2 + (sqrt(80)\/(-2*sqrt(10)) + 1)*4)**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595659 is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79622943 a multiple of 2905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from kqqjdqdcckfjcdk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.229.\nAnswer: -0.0687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*l = 1151, 88*n = 86*n - l + 760. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 5.7.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 743423047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12449?\nAnswer: 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*u - 6, 28 - 3 = u - 5*p. Let g be 78\/8 + 7\/28. Solve u*l - 3*b = -10, -3*b - g = -2*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 16 = l, -4*l + 0*t = -2*t + 20. List the prime factors of (20 + -3)\/((-3)\/l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 511.603068 to 1 dp.\nAnswer: 511.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1155, 1238, 1321?\n\"Answer: 83*q + 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1013877 by 1.\nAnswer: 1013877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292 and 4140688.\nAnswer: 302270224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 175*n + 1016. Let d be g(6). Solve -d - 17 = -19*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 893 + -893.000001405. What is n rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099909 to 3 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2, -13, -0.3, 3, -666?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*l**2 + 931*l + 50*l**2 - 931*l.\nAnswer: -171*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1257673 to four dps.\nAnswer: 0.1258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**6\/180 + 2*b**4 + 3*b - 22. Let s(f) be the third derivative of n(f). Let o(t) = 33*t. Calculate s(o(z)).\nAnswer: 132*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88667131 a multiple of 967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2202010?\nAnswer: -2202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19606, 19777, 19956, 20143, 20338, 20541, 20752?\n\"Answer: 4*t**2 + 159*t + 19443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:29 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**6\/24 - w**3\/2 + 2*w**2 + w. Let b(x) be the first derivative of j(x). What is the first derivative of b(d) wrt d?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -24.9333\nAnswer: -4.98666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5\/9 - 286*w**4\/3 + 4630*w**3\/9 - 2230*w**2\/3 + 406*w\/9 + 836\/3 = 0. Calculate w.\nAnswer: -1\/2, 1, 2, 3, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 0, -4, 2, -216, 528, 5.\nAnswer: -216, -4, 0, 2, 5, 142, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*v - 1)*(-7 + 1 + 4 + (2 + 2 - 6)*(1 + 3 - 3) + 1 - 5 + 2) + (3*v - 1 + 1)*(-2 + 2 + 2))*(-1 + 0 + 5)*(-24*v + 8*v + 14*v).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/90)\/(90\/8). Let q = h + 6971\/150. What is the common denominator of q and 85\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170\/111 + 143\/37. Suppose 19\/3*n - 2 + s*n**2 = 0. What is n?\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q - 36*q = -3*w - 9, -q = 7*w + 52 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from nmmbglnmmmblplgml?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000892 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 168*a + 17357100 = 19*a. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 - 173384*t**2 + 29043840*t - 1218655872 = 0.\nAnswer: 84, 43178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-10)\/(-3))*9\/(-15). Let l = 4 + -2. Solve -3 = -c + f, l*c - f - 5 - m = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*b - 115, -v - b - 157 = 3*v. Let k = v - -43. Solve 1 = k*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-84)\/(-8))\/(-7)*1394608\/(-24) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 4, 700, 834, 5 in descending order.\nAnswer: 834, 700, 7, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -40, -36, -34, -34, -36, -40?\n\"Answer: -p**2 + 9*p - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1283\/12 - 2743\/28. Let k be (124\/10)\/((-14)\/10). Let w = k + u. Which is the biggest value? (a) -5 (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -519563*m - 541522 wrt m.\nAnswer: -519563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*c**3 - 180445*c**2 + 15416240*c - 6710060 = 0. What is c?\nAnswer: -2338, 7\/16, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 12:58 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135, 285, 437, 591, 747?\n\"Answer: w**2 + 147*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 + 2*w + 12. Let v be x(-4). Suppose 20 - v = 24*g. Solve 5*r - 6 - 9 = g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/56)\/(-2*8\/(-140)). Which is the fourth biggest value? (a) -0.179 (b) -0.6 (c) g (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {o: 5, b: 3, a: 2, r: 7, d: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 134, -3 in ascending order.\nAnswer: -12, -3, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/(t**(-5)*t*t))\/t*t*t)\/(t**6\/t))\/(t\/((t**(1\/4)*t)\/t)*t*t)**(-10\/13) assuming t is positive.\nAnswer: t**(107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 - 3*k**3\/2 - 56*k**2 - 213*k\/2 - 209\/4.\nAnswer: (k - 19)*(k + 1)**2*(k + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i + 3*o - 9, 5*o - 15 = 0. Let n be 0 - 0 - (-3 - 1). Let p(m) = m - 9. Let u be p(n). Put u, 0, i in increasing order.\nAnswer: u, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x - 7*x + 10*x)*(5 - 4 - 2)*((-2 + 2 - 2)*(0 + 1 + 0) - 1 + 3 - 3).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x + 3. Let w(s) = -43*s - 6. Suppose 204*f = 19*f - 740. Give f*w(v) - 9*k(v).\nAnswer: -17*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79127 is divided by 18911.\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/2 - 39*w**4 + 458*w**3 + 2316*w**2 + 2480*w = 0.\nAnswer: -2, 0, 20, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40, -241, -578, -1051, -1660, -2405, -3286?\n\"Answer: -68*f**2 + 3*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 15*y = 390. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than -23546446.37?\nAnswer: -23546422.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230509 and 15019?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152228080 divided by 20.\nAnswer: -7611404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(288) + 2 - sqrt(288))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 108788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -141750 < -140210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1573510999 and 1238.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51*(-8)\/(-36)*3. Suppose -8 = 15*d - 7*d. Let o be (-101 + d)*(-55)\/15. Calculate the highest common factor of z and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -8328?\nAnswer: 1\/8328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 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: Calculate -5540.141917561 - 0.1.\nAnswer: -5540.241917561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, 1442, -7, 1 in decreasing order.\nAnswer: 1442, 13, 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*(sqrt(275) + -4 + sqrt(275) + (sqrt(275) - sqrt(275)*-3)) + 1)**2.\nAnswer: -62400*sqrt(11) + 2538625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -7*r**3\/6 - 413*r**2 + 9793*r. Let s(w) = 2*w. What is f(s(o))?\nAnswer: -14*o - 826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/(h\/(h*h**42)))\/h)*h)\/(h*h**(7\/6)) assuming h is positive.\nAnswer: h**(-259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4698, -9396, -14094?\n\"Answer: -4698*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**3 - 11*i + 11*i.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 0.3, -1\/7, -2\/2737, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.08, -3\/4, 2 in ascending order.\nAnswer: -3\/4, -2\/11, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11433213 (base 5) to base 11.\nAnswer: -7461a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 23*c**5\/20 + 3*c**2\/2 + 12*c. Find the first derivative of i(j) wrt j.\nAnswer: 69*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + -5 + (sqrt(343) + 1 - sqrt(343))*6)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 793 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114631?\nAnswer: 11, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3 + f + 3*f + f + 8. Determine g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noodfdnofnnnkdnkd. What is prob of sequence kof?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 24*m**2 - 55*m + 30. What is the smallest common multiple of 216 and x(-24)?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010376 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 4*v. Let f(d) = 2*d + 2. Let x(u) = u**2 + 10*u + 9. Let n(l) = -4*f(l) + x(l). Give n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 401 = -67. Let n be 1\/(-2 - 2) + 17271\/y. Is n bigger than -479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 2 in increasing order.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.88 + 0.12. Which is the second smallest value? (a) -0.4 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-338)\/(-10)*(-1 - -2). Let l = 2661\/70 - k. Calculate the common denominator of (-87)\/(-10) + 3\/6 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 + 5*u - 3. Calculate a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y + 2 + 3*y - y**2 - y. Let c be s(-4). Sort c, -5, -4 in ascending order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -11*g + 4*g. Solve -x + 4*x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*t**2)*(5 + 2*t - 5) + 3059*t**2 - 3059*t**2 + 68*t**3.\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 22303 + 11151 + 11152. Let l(f) = 4*f + 4 + f**2 - 5*f**2 + 0. Let z(w) = 4*w**2 - 3*w - 3. Let k(j) = -3*l(j) - 4*z(j). What is k(m(p))?\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from ofkfkojfunk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l - 2. Let j be i(5). Let o(f) = -3*f - 3. Let b be o(j). Let d = b + -12. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 40*v**2 - 27*v - 99. Determine h(41).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 2 (c) -225 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 13*v + 39. Let t be p(-8). Let n be t + (3 - -4) + -2. Solve 5*q = n*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d*d\/d**0)))\/d*d)\/d)**(-50) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26908 by -1.\nAnswer: 26908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011200100000210 - -1022?\nAnswer: 1011200100002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 - 3*u**2 - 82)*(-1 + 1 - 4339*u + 3933*u) in the form y*u**2 + x + s*u + k*u**3 and give k.\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58509226 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 9*d**2 + 19*d**2 - 10*d - 26*d**2.\nAnswer: 2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -6 (b) 1 (c) -1\/4 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(500) - (sqrt(500) + 1 + 4 + sqrt(500))) + 1 + sqrt(500) + sqrt(500)*-2 + sqrt(500) + sqrt(500) - (-5*(-1 + sqrt(500)) + 0)))**2 + 3.\nAnswer: -32400*sqrt(5) + 452919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -43*s**3 - 33*s**4 - 16*s**3 - 3*s**5 - 39*s**3 - 48*s**2 - 10*s**3 + 192*s = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 35 + 1. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(637) + 0 + 2 + sqrt(637)*-2 - (sqrt(637) + 1 + 0 - (sqrt(637) - (sqrt(637) + sqrt(637)*2 + sqrt(637))*6)))*3)**2.\nAnswer: -27216*sqrt(13) + 29719953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 14. Let h = -7 + u. Solve 1 = k + k - 5*r, 0 = h*k - 4*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17708?\nAnswer: 2, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -912*p - 7232. What is the smallest common multiple of 2560 and r(-8)?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/9)\/(m\/(m*m**6)))\/((m*m*m*m\/m**2*m*m)\/(m\/(m\/m**(-1))*m)))\/((m**0\/m)**(27\/5)\/(((m\/m**3*m)\/m)\/m*m*m\/(m**(1\/4)\/m))) assuming m is positive.\nAnswer: m**(1367\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -757, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/4))\/(c**(2\/9)\/c)*c*c\/(c*c*c**(-5))*(c**(-1\/3)*c)\/c*c assuming c is positive.\nAnswer: c**(241\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - p + 3*p)*(-6*p**4 - 3*p**2 + 3*p**2) - 13*p**2 + 13*p**2 + 9*p**5.\nAnswer: 63*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306852707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 1184725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7588698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 - 53 = 0. Let h(f) = -f - 1. Does 3 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528) - (sqrt(528) - (sqrt(528) - (sqrt(528)*2 - sqrt(528)))))\/(sqrt(48)*1) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 + 39*z**2 - 640*z + 418. Calculate k(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*b = -7*b + 91, 5*q - 5*b = -235. Let f be q\/10*8\/(-10). Calculate the highest common factor of 20 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1938 - 2.1938. What is the nearest to 0.05 in 1.3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*w - 4956 = 0, 64*w - 67*w = o - 1000. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2060*k**3*l*o**3 + k**3*l + 3*k**2*l*o**3 + 2*k**2*o**3 + 44*k**2*o - k + 2 wrt k?\nAnswer: 12360*l*o**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 70cb28 (base 14) to base 4\nAnswer: 32133231100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -2651.6225?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qekq when four letters picked without replacement from keezqehqhheee.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 3. Let h(c) = 26*c + 3. Let z(y) = -h(y) + k(y). Let u(l) = -4*l. Calculate z(u(q)).\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 12862196*r\/3 - 20679510742802\/3.\nAnswer: -2*(r + 3215549)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-q - 3*q + 5*q) - 5*q + 3*q + 0*q + 2 + 10*q - 11*q + 11*q.\nAnswer: 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*f**3 + 0 + 4*f**2 + 2 + 10*f**3.\nAnswer: -108*f**3 + 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 134449 - 0?\nAnswer: 134449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 - 513*a**2 - 1511*a + 183. Give i(-168).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47867 and -0.23521082?\nAnswer: 47867.23521082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4 - 5 - 8 - h. Let x be o(-9). Solve 0*b - 3*v = -b - 7, -b + 4*v - 9 = x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u - 8 + 2*u - 21 - 3 - 9.\nAnswer: -17*u - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 13*c - 12. Let q be y(-14). Suppose 6*x - q*x = -4*f + 40, 2*x = 2*f - 4. Solve z + f = -2*b - 0*b, 5*b = 5*z + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249586503 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 456 + -127. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 4. Suppose 0 = 1408*m - 1447*m - 156. Sort m, f, 4\/3 in ascending order.\nAnswer: m, 4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 + u - 7. Let g = -13 + 7. List the prime factors of f(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.001 - 4.301. Let a = -21.3 - q. Let n = a - -16.6. What is the nearest to -0.1 in 2\/5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 0.5, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -20915 != 380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1241 (base 11) to base 16\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15 + (-527)\/34)\/((-1)\/10358).\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/48 + 430\/60. Let a = -10 + 14. Let j = a - 3.9. Put 3, -1\/7, j, l in decreasing order.\nAnswer: l, 3, j, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -25. Suppose 18 + t = 3*w. Let i be 7\/4 - w\/(-60). Solve -i*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Let l(d) be the second derivative of 0*d**5 + 0 - 1\/10*d**6 + 0*d**4 - 1\/3*d**3 + 0*d**c - 4*d. Find the second derivative of l(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1\/30)\/(86\/860))\/((-4)\/(-192)). Let d = 1 + -1. Solve d = 5*y - y + t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2 (b) -248 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5*d**2 + 1065. Let a(i) = -726*i**2 - i. Give y(a(n)).\nAnswer: 7260*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 2, 0.47, 1\/12, -0.5 in increasing order.\nAnswer: -0.5, 1\/21, 1\/12, 0.47, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4\/1 - 3\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -177*v**2 + 6*v. Let f(y) = 7*y. What is l(f(s))?\nAnswer: -8673*s**2 + 42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*v - 69. Suppose 3*x + 3*m + 9765 = v*x, -5*m = 4*x - 12975. What is x rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/9 - 25246*h\/9 - 1081880\/9 = 0 for h.\nAnswer: -12580, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/10 + o**4\/12 - 4*o**3\/3 - 3*o**2\/2 + 3885*o. Determine t(-4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-16)*-2*22\/33.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l + 858. Give y(71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -18*v**2 + 4*v - 11. Determine a(3).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12)**(-32) assuming w is positive.\nAnswer: w**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -1 (c) 3 (d) 2222 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45012 and 166176?\nAnswer: 623326176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 91.4. Let l = 0.3248 + -29.7248. Let w = l - d. Is w less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(7\/5)*c))\/c**(4\/3))\/(c\/(c**(2\/71)*c)*c**17) assuming c is positive.\nAnswer: c**(-19069\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-30))\/o)**(1\/35)*o**(4\/15)*o\/(o**16\/o))**1 assuming o is positive.\nAnswer: o**(-1352\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2412975042 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292*s + 13199 + 60445 = 0 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:20 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -101*p**2 + 56*p + 527. Let z(a) = -46*a**2 + 28*a + 261. Let d(t) = 5*b(t) - 11*z(t). Determine d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 367 + 168958?\nAnswer: 169214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11112 = -2*g. Let x = 301 + g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 45479\nAnswer: 177368.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1272672 (base 9) to base 5.\nAnswer: -134304400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsfxsfddxdxfxs. Give prob of picking 1 s, 1 x, and 1 d.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5 = x, 3*s - 2*x + 30 = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2448 - 0.069?\nAnswer: -2448.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/4 - 11792873*d - 139071853594129 = 0.\nAnswer: -23585746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.4046223354 - -3111.4046197534. Let x = b - 3080. What is x rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.669104 milligrams?\nAnswer: 0.000006669104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07838591425 + -122971?\nAnswer: -122971.07838591425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = 1246 + 318. Is -81 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 560, 2248, 5090, 9086, 14236?\n\"Answer: 577*u**2 - 43*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088498983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 6646*g - 11042329 = 0. What is g?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2 - -1?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 23*m - 30. Factor m*w**3 - 5*w**2 + 2*w**2 + 616*w - 622*w.\nAnswer: 3*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -260 - 468*f + 776 - 260 - 260 in the form j*f + t and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18324069, 36648145, 54972221, 73296297, 91620373?\nAnswer: 109944449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**0\/b)))**(1\/10))**(2\/5) assuming b is positive.\nAnswer: b**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 2, w: 2, f: 3, k: 1}. What is prob of sequence bwfk?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 3 (c) 96 (d) 643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163 - 63?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*((-3)\/24)\/(-2 + 3). Solve -q - 7 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 1:31 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let n(h) be the second derivative of -17*h**3\/3 + 2*h. What is r(n(u))?\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8579.64555 milliseconds in weeks?\nAnswer: 0.000014185921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**3\/3 + 13*n**2\/2 + 9*n + 3. Let l be x(8). Suppose -5*y = 2*y - l. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15865 - 7211?\nAnswer: -24176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16*32640\/1224?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 9*r - 19. Let m be h(-6). Let z(o) = -133*o - 7. What is the remainder when z(m) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10. Let z be (-2 - v)*(3\/(-3) + 2). Suppose 0 = 3*o - i - i - 21, -o + 4*i = -17. Sort o, -6, z in descending order.\nAnswer: o, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-10)\/(-25)*15\/12)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25573.428us?\nAnswer: 0.00000029598875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805807151?\nAnswer: 47, 1117, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -35?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 9, d: 4, l: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/18 + 1276620\/540. Let q = r + 95. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 318*f + 1479. Calculate i(167).\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106849 is divided by 14776?\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -1\/112*b**8 - 29\/24*b**4 + 16*b**2 - 2\/21*b**7 + 0*b - 9\/10*b**5 - 2\/5*b**6 + 0 - b**3. Find t, given that c(t) = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**(1\/12))**(3\/13)\/(n**(-3\/5)*n**(-2\/3))**(-42) assuming n is positive.\nAnswer: n**(-6911\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b**2 + 3*b + 2. Let s be a(-2). Suppose 2*v + s = -2*v. Does 15 divide v\/8*68\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -28. Let u be 2\/4 - 15\/(-6). Let i(x) = 2*x**3 + 5*x**2 - x**3 - 2*x**u - 6*x. What is i(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519873674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28119 = -394*g + 415*g. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, a: 5}. Give prob of picking 1 q and 2 a.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 1, z: 2, i: 1, u: 1, t: 1}. What is prob of picking 1 x, 1 i, and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {r: 4, o: 4, a: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -7*i**4\/24 - i**2. Let u be d(-4). Is (-2)\/(1\/u*-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((21\/(-12) - 1) + 2). Suppose 2*s - 3 = -o, i*o + 0*s - 2 = 2*s. Suppose 0 = 4*m - 46 + 10. Calculate the greatest common factor of m and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let y(n) = n + 6. Let u = 6 - 11. Let s be y(u). Give j(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15559?\nAnswer: 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 31*c**2 + 137. List the prime factors of k(16).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1560983 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q**2 - 2*q + 3. Let j be x(3). Let p be 65\/105 + (-2)\/j. Let c = -4567\/4 + 1141. What is the closest to 1\/2 in c, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 - -241. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 405753 + 1747653. What is d rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 7*g**2 - 3*g. Let l be c(7). Let k = l - -11. Let d = k - -15. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 28 - 12 - 3 - 14*j + 15*j - 10. Determine q(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2831036024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3403 + 3705. Calculate the smallest common multiple of i and 14.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47349*x**4 - 515213 wrt x.\nAnswer: -189396*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 4*t + 27 - 51 + 29 to the form y + p*t + r*t**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25967\/48 - 541. Let j = p + -41\/336. What is the nearest to -0.1 in 4\/7, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 51*j + 267. What is l(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24363506 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b - 1. Suppose 5*o + 4*i - 13 + 30 = 0, 4*o - 4*i = -64. Let y(d) = -d + 0*d - 2*d. Let a be 6\/4*4\/(-3). What is a*p(l) + o*y(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2 - 8 + 9*x - 12*x. Let a be v(-5). Suppose -5*k + 6*w - w - 15 = 0, -2*k - 18 = -5*w. Calculate the highest common divisor of k and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -7*x**5\/60 + 7*x**4\/24 - 7*x**3\/3 + x**2. Let r(m) = 15*m**2 - 15*m + 29. Let g(f) = 13*a(f) + 6*r(f). What is g(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) - (-3*sqrt(128) + sqrt(128) + sqrt(128)))*4)\/sqrt(8))\/(sqrt(128) + ((sqrt(128) - 1*sqrt(128)) + sqrt(128))*3).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 12, -3.\nAnswer: -12, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*b**5 - 49671*b**3 + 49671*b**3 - 4015*b**2 + 1436*b**5 wrt b?\nAnswer: 75240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1525 - 1586. Which is the nearest to 1\/4? (a) 0.4 (b) s (c) 2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -3 (b) 0.4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/420 + 118*u**5\/105 - u**4\/84 - 236*u**3\/21 - 127*u**2 + u + 6. Factor n(t).\nAnswer: 2*(t - 1)*(t + 1)*(t + 236)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 111, 619, 2019, 4755, 9271, 16011, 25419?\n\"Answer: 74*g**3 + 2*g**2 - 16*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 6 (b) 2361 (c) 9\/16 (d) 0 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11734150*f**6 - 233*f**2 - 25564.\nAnswer: -1408098000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030926?\nAnswer: 2, 3, 13, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3 - 1. Let l be (187\/68)\/(o\/(-8)). Sort -1, l, -3, 5.\nAnswer: -3, -1, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, -1, 5 in decreasing order.\nAnswer: 5, 1, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 21 = 6*u. Suppose 2*x = u*x + 5. Sort 0.4, 1, 1\/5, x in descending order.\nAnswer: 1, 0.4, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854992331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 27*p**3 + 1717*p - 1717*p - 1 + 0 in the form d + u*p**3 + f*p + l*p**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 n when three letters picked without replacement from {n: 1, v: 2, t: 4, s: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4270 and 10?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -1, 24, 79, 176, 327, 544, 839?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -4. Is (((-10)\/n)\/(-2))\/(2\/(-8402)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most as big as 355588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1 - 3*r**3 - 3*r - 14*r + 0*r**3 + 7*r + 4*r + 5*r**2. Let x(b) = b**3 - 2*b**2 + 3*b. Determine 2*j(a) + 5*x(a).\nAnswer: -a**3 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 1 = -23*o + 4*l, -4*o + 4*l = 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103409, 206570, 309749, 412952, 516185, 619454, 722765, 826124?\n\"Answer: v**3 + 3*v**2 + 103145*v + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120112210020 (base 3) to base 12.\nAnswer: -baa9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78166 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/(1\/9). Let z(q) = q**3 + 6*q**2 - q - 4. Let g be z(y). Find the first derivative of -10 + 0*r + g*r - 8*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 3*j - 17*j - 59)*(0 - 1 - 1).\nAnswer: 40*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6319369.\nAnswer: 7, 902767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119764?\nAnswer: 2, 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 786 divided by -1\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 + -1.1. Let y = 0.4 + -0.7. Which is the closest to -2\/5? (a) 0 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.77787ng to grams.\nAnswer: 0.00000009977787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y - 7. Let l be q(-6). Suppose l*m - 13 = -3. Suppose 5*v - 46 = -m*t, 4*v - 4*t + 2*t - 44 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90875 divided by -1?\nAnswer: 90875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 928978 and 928978 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39946710 divided by 15\nAnswer: -2663114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4821509624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3453?\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32118, 32121, 32126, 32133?\nAnswer: 32142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.06 (b) -5 (c) 53 (d) 3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 3*b**4\/8 + 5*b**3 - 10*b**2 + 14*b. Let u be t(-3). Solve -u*c + c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2812103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -5.\nAnswer: -124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 7 + 5. Let s be (52\/k - 0) + 3. Let p be (0\/(1 - 2))\/(-4). Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 13*s - 5. Let o be x(-13). Let d(u) = u**3 + 4*u**2 - 7. What is d(o)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 7. Let w be d(7). Let q be 0 - (-1 - w)*113. Suppose 2*j + 7 = q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 383*a**2\/2 - 32*a + 66. Let u be g(4). Round u to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/188 and 11\/36049.\nAnswer: 144196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6))\/((-1260)\/(-48)) - 760\/42\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167 divided by -1.\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345 (base 8) to base 3.\nAnswer: 22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4534 = -694*v - 9346 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-4) + (-1)\/6 and 10\/12*166\/30.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 - -0.12. Let b = -0.91 - z. Let d = -0.4 - b. What is the third biggest value in -0.1, d, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f + 101*f - 44*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 3)*(-1)\/(-2). Let u = 4 + b. Solve -4*q + 2*d - u*d - 4 = 0, -q = -4*d - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251 + 399. Is 2*(0 + h\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/62732 and -127\/140.\nAnswer: 2195620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/4*(-4)\/(-3). Let j = c + -27. Let m be (-3)\/j*(-2 + 17). Solve 3*o + v + v = 10, 5 = -m*o + v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 + 299 - 9*l**3 - 299 + 483*l**2 as n*l**3 + c*l + g + y*l**2 and give y.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156880525?\nAnswer: 5, 97, 64693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3580315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-4667)\/(-260) - 18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 23*s**2 + 11*s**2 + 10*s**2 + s**2. What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489336\/19 less than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (64\/8*3\/12)\/(6\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 + 11*w**2 + 5*w - 8. Let z(x) = 4*x**3 + 12*x**2 + 4*x - 7. Let f(n) = 3*c(n) - 2*z(n). Let i be f(-8). Are 1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose 2*t + 2*a = 12, j*t + 3*t = 4*a + 46. Calculate the remainder when 2\/4 + (-165)\/(-6) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623978 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = a. Suppose 20 = a*t + 2. Suppose 2*o = t + 18. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose 0 = j - 5*d + 1, 4*j + p*j + d = 17. Suppose -h - 5*b = -19, b - 10 + 26 = 2*h. Calculate the lowest common multiple of h and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744257399.\nAnswer: 3744257399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**2 + 41096*s - 562766.\nAnswer: 2*(s + 6863)*(3*s - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 + -1 - (1 + -5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/42)\/((-6)\/8). Suppose 0 = 3*b - 6*b + 9. Let y be 6\/(-12)*b\/(-6). Sort 0.3, y, r in ascending order.\nAnswer: y, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*a - 33 = 619*a - 5*u, 2*a - 26 = -2*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/2 + 3 - -2. Suppose -o - 433 = 4*l, 2*o = 4*o + 10. Let w = 110 + l. Solve u*z = w*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**9*s**(-10))\/(s\/(s*s**(-2\/3)))**(3\/7) assuming s is positive.\nAnswer: s**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 + 1 = 0. Let q be 1 - o*(2 + -3). Suppose -6 = r - 5*s, 6*s - q*s = 5*r - 12. Sort 0, -1, r in descending order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 = -3*h, -u + 3 + 1 = 0. Solve h*x = 8*x + 5, -3*x + 5 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 1. Let j(p) = -1. Let o(q) = -j(q) - u(q). Let y(h) = -21*h**2. Give y(o(z)).\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:15 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - 11) + 17 + 12 - (8 + -8)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5325 = 15635. Let o be l\/20 + (-6)\/(-15). Suppose o = -19*f + 24*f. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000196491 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1649, 1654, 1659, 1664?\n\"Answer: 5*j + 1644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 3. Let w be n(1). Let r be -2*(w + 0 + 1)\/(-2). Suppose -r*s - 4 = -2*k, -5*k = -k + s - 18. Solve 0 = -5*q + 1 + k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1683 is divided by 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16586073675 - 1.1.\nAnswer: 16586073673.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 139. Calculate the remainder when 88 is divided by x\/(-7) - 815\/(-35).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11486, -11502, -11532, -11576, -11634, -11706, -11792?\n\"Answer: -7*v**2 + 5*v - 11484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = v - 46, 2*v + 3*h = 3*v - 22. Let x = v + -22. Factor a**3 - x*a**2 - 2*a - a + 2*a**3 + 9*a.\nAnswer: 3*a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217021 is divided by 405662.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 divided by -11106?\nAnswer: 616\/5553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-15) + (2 + -2 - 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/3192 and -3\/1526.\nAnswer: 347928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160*a**3*b**4 + 13*a**3 - 3*a*b**2 - 6 wrt b.\nAnswer: 640*a**3*b**3 - 6*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -27 + (-8 - (-18 - (2 + 0)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010011100110010 (base 2) to base 14.\nAnswer: -dca1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**2 + 1250. Let d(b) = 37*b**2. Let y(q) = -18*q**2. Let o(l) = -6*d(l) - 11*y(l). Determine g(o(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 16. Solve 39 - 4 = -s*x - 3*h, 3*h = 4*x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 7*s**4\/24 + 8*s**2. Let c be 1 + -1*2 - (-13)\/13. Let f(k) = c*k**2 - 181*k + 3*k**2 + 181*k. Give g(f(w)).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*d - 6*d - 3, 2*p - d - 1 = 0. Sort p, 0.2, -3, -2\/17 in increasing order.\nAnswer: -3, -2\/17, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 11. Let u be i(-15). Suppose 2*q + 4*r = -2, 0*r + 5*r - 36 = q. Let l = u + q. Find the common denominator of 5\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 159, 214, 309, 456, 667?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 69\/1007363 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 252 times 0.15\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -29 - (-3)\/(6 + -3). Let y be -2*2*385\/d. Suppose 4*v - u - 80 + 16 = 0, -u = 3*v - y. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000101110010010000100100011 + -10?\nAnswer: 111000101110010010000100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0454 - -1.061906. Round d to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:15 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgggwgjfsfgjgfgj. What is prob of sequence jfsj?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 1, i: 7, u: 3, a: 4, n: 1}. What is prob of sequence bnub?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30565863.\nAnswer: 3, 421, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16550847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -276 * -139216\nAnswer: 38423616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 22 = -q, 37 - 3 = 5*h + 3*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124160640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*a - 12, 3*a = -q + 4 - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-144)\/192)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5016361 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 3478*o**2 + 2469810*o - 375097050.\nAnswer: -2*(o - 285)**2*(o + 2309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.949162 to 3 dps.\nAnswer: -1.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1061 + 1007 - (-25 - 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 at least as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 71.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4335\/(-28900)*2\/6\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-2\/29)\/u)*u*u**(-1\/13)*(u*u*u**(1\/2)*u)\/(u*u**(2\/9)\/u*u))**23 assuming u is positive.\nAnswer: u**(1134659\/6786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 30. Suppose -3*f = 5*u - h + 1, 3*u = 5*f - 49. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 45, 106, 191, 300?\n\"Answer: 12*o**2 + o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 23 = 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 6772*w - 6774*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 790 and 1074874.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -35. Calculate the greatest common factor of g and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let x be -1 + i + (12 - 7). Let g(a) = x + 0 - 2*a - 2. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 3181497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 1829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-88))\/(9\/((-108)\/5))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.315, -0.1, -1, 1, -0.2706 in descending order.\nAnswer: 1, -0.1, -0.2706, -0.315, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, -2\/273, 0, -28.68?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, -14, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -6 - (-14 - 67360). Let a = -100870 + q. Round a to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68565, 137124, 205683?\nAnswer: 274242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81990 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -11. Let i(h) = 3*h**2 + 10*h + 9. Suppose -5*j + 8 = 23, 4*u - 82 = -2*j. What is the remainder when i(r) is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29094790 and 2110.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -64\/3, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 19 = -833. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1414, 2855, 4294, 5725, 7142, 8539, 9910, 11249?\n\"Answer: -u**3 + 5*u**2 + 1433*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 158*k**2 - 12*k - 13. What is the remainder when q(-1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1538*h + 618 = 179*h + 2335 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = -m - 0*x, 4*x + 108 = 2*m. Let l(p) = p**3 + 13*p**2 + 9*p - 26. What is the remainder when m is divided by l(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 9402 = 26*d. List the prime factors of d.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2865?\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from {v: 2, j: 4, m: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 21220302314?\nAnswer: -21220302312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205\/1872323 or 1?\nAnswer: -205\/1872323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5819 + 20294. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754656*y**2 + 1754656*y**2 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 101. Let u = x + 122. What is the remainder when 60 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2527.796 milligrams to tonnes.\nAnswer: 0.000002527796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 10*u**3 - 55*u**2 - 30*u = 0?\nAnswer: -1\/2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 + 1.6. Let u = x - 4. Let m = 8 + -3. What is the third smallest value in 1\/6, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -4, 0.195, -2\/3, 2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/43564 and 17\/304948?\nAnswer: 304948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001432671 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -13*d + 84. Let k be 12\/30 + 26*d\/50. Which is the closest to 0? (a) k (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1336 and 501?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77\/2 - -37. Suppose 2*c - 1 = -1. Let f be c - (-3 - (-5 - (0 - 0))). What is the nearest to 1 in f, 8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 196, 221, 246, 271?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19757636 is divided by 2020.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {u: 1, n: 5, k: 1, c: 1, v: 2, o: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 45 + 1 + 2 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 2*b**2 - 5*b + 3. Let k be g(3). Suppose 4*x - k = 12. Calculate the remainder when (-3545)\/(-45) + 2\/x is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 25, 52, 95, 160, 253, 380, 547?\n\"Answer: b**3 - b**2 + 13*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(-4)\/(-8)*-50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*u - 693*u = 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1594 + 2515 = 7*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199297191 to the nearest integer?\nAnswer: 14117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*i - 497*i + 3730 - 3728.\nAnswer: -1049*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75750 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1755 - -1785. Let j = 8 - -6. Let k be (-4)\/j - u\/(-7). Sort -3, 1, k in decreasing order.\nAnswer: k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -125*d**3 - d**2 + 8*d. Calculate the remainder when q(-4) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 8*s - 20. Let i(r) = 5*r**2 + 14*r - 22. Let t(p) = 3*i(p) - 4*u(p). What is t(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 17. Let l(v) = 2*v**2 + 14*v - 8. What are the prime factors of l(p)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -29. Suppose -g + 3*i = 5, -6*g = -3*g - 4*i + 15. Let j be 43\/430 + (-7)\/g + -2. Are s and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213*-0.8666\nAnswer: 184.5858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 6*j + 4. Let m be k(-6). Let t(p) = -8*p**2 + p**2 + m*p**2 + p**2. Let i(g) = 2 - 5*g**2 + 2 - 4. What is t(i(c))?\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24\/25, -82, -5?\nAnswer: 24\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u. Let d(r) = 2*r**3 - 4*r**2 - 12*r + 3. Let x(p) = d(p) - 4*w(p). Is x(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2))\/p)\/((p*p*p**(-2))\/p)*(p**(1\/5))**(-42)*(p**(-2\/3))**(-20)\/(p**(-1))**(-2\/5) assuming p is positive.\nAnswer: p**(113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 32*z = -36. What is the highest common factor of 2428 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1938385*q**2 - 9168969 with respect to q.\nAnswer: 3876770*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2*6)\/(sqrt(6) + -3*(sqrt(12)\/sqrt(2) + sqrt(6)) - sqrt(6)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a336 - 6?\nAnswer: -2a340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2)\/v*v*v)**(-16))**(-3\/10)*(v**(-2\/3)*v\/v**0)\/((v*v**(1\/7))\/(v\/v**(-3))) assuming v is positive.\nAnswer: v**(1091\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3159 + 2794. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**8\/26880 + c**7\/2520 - c**6\/720 + c**4\/24 + c**2. Let t(y) be the second derivative of o(y). Factor t(i).\nAnswer: -i*(i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76011, 142557, 209103?\nAnswer: 275649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 36*w - 324. Let f be r(9). Let b(x) be the first derivative of 1\/2*x**4 + 2\/5*x**5 + 0*x**3 + 0*x**2 + f*x + 4. Factor b(h).\nAnswer: 2*h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -60799*j**3 + 6*j**2 + 6*j + 5. Let b be t(-5). Round b to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*y**2 + 1)*(7*y - 4*y + y)*(2 + 2 - 5) - y**3 - 2*y**3 + 4*y**3 as c + i*y + o*y**2 + t*y**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + -2*-1*sqrt(204) - sqrt(204) - sqrt(204)) + (sqrt(204) - 5*sqrt(204)*-3))\/(((sqrt(192) - -3*(sqrt(192) + 2*sqrt(192))) + sqrt(192))*4)*-1.\nAnswer: -17*sqrt(17)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11004130 divided by -8.\nAnswer: -5502065\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, -116, -324, -626, -1016, -1488, -2036, -2654?\n\"Answer: o**3 - 56*o**2 + 53*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12424\/661 + -6661713\/306704. Let j = 170\/29 + g. What is the common denominator of 87\/44 and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let q be (y\/12)\/(2\/2). Factor -1\/4*u**4 + 0 + 0*u + q*u**3 + 0*u**2.\nAnswer: -u**3*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 - 5*l**2 + 528 - 261 + l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -5946101\nAnswer: 29730505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = -70. Suppose 3 = 2*n - 5*r, n - 5*r + 1 = -0*n. What is the remainder when m is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 29, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -8*s - 5 + 25, 356*a - 370*a - 21 - 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-216)\/243)\/(-4))\/(40\/(-1950)) and 1 + (-2)\/(786\/337)?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 179369 = 3*w, 5*c - 94648 = -2*w + 24954. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 35*s + 249. What is w(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.987 + 0.013. What is the closest to -0.4 in v, 4, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*x**3 - 2*x**3 - 16*x**3)*(6 + 2 - 1).\nAnswer: -588*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 68*b + 85. Let s(t) = -t - 1. Let z(u) = -2*u**3 + 21*u**2 + 92*u - 1. Let r be z(14). Calculate r*s(d) - n(d).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1620 divided by -540.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 954\/(-12)*1596\/(-63). Which is greater: 2015 or r?\nAnswer: 2015","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 37*v**2 + 6556*v + 1279. What is m(-177)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.99 + -0.01. Suppose -6 = -3*f - 5*d - 19, -3*f - 8 = 4*d. What is the closest to o in f, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2263 - -2295. What is the least common multiple of 128 and c?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from nxnpnncxnxxxxnxxpp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(36) + sqrt(72)\/sqrt(2)) + sqrt(288)\/(sqrt(8)*-1))\/(-3*sqrt(972)*5).\nAnswer: -sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78456, 316464, 713138, 1268472, 1982460, 2855096?\nAnswer: 3886374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3 + 2 + t**3 + 3*t - 5*t**2 + t + t. What is the units digit of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4))**(2\/41)*((a**(-11)\/a)\/a)\/a*a*(((a*a**(-14))\/a)\/a*a)\/a assuming a is positive.\nAnswer: a**(-1138\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7785\/8 - 979. What is the common denominator of -83\/10 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4211, 3, -5 in ascending order.\nAnswer: -4211, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8109463 millilitres?\nAnswer: 0.0008109463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*((-213)\/2 - -4). Let g = -444 + y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 382 and 1910?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-1 - (-3 + 0). Let r be o - (3 + 2*-5). Let g = 26 + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 4. Which is smaller: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*1))) + sqrt(117))\/((sqrt(9)*-3 + sqrt(9))*-3).\nAnswer: -4*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043327798 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 97. Let b = i + 109. Calculate the highest common factor of 160 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - 230. Let c = 254.202 + k. Let s = -0.142 + c. Round s to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + -63 + 17 + -85?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124664227 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i + 29 - 29)*(-5*i**2 + 13*i**2 - 29*i**2 - 161*i**2).\nAnswer: -1274*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 10 = 22 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3204 - 594 + 1045*t - 7*t**2 + 570 + 2*t**2.\nAnswer: -5*(t - 212)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125) + sqrt(125)*1 + sqrt(125) - 6*sqrt(45))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, -24, -58, -100, -150, -208, -274?\n\"Answer: -4*p**2 - 14*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*l - 5*l + 4, 0 = 3*l - 4*f + 17. Let d(q) = 8*q**2 - 3*q + 4. Let g(m) = -4*m**2 + 2*m - 2. Give l*d(a) - 5*g(a).\nAnswer: -4*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96 less than -777911?\nAnswer: -777911.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269.95269 and -0.2.\nAnswer: -53.990538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2211800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -775 - 0.12\nAnswer: -775.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642760673?\nAnswer: 47, 13675759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -5*i + i, 5*t - 4*i - 4 = 0. Suppose t = -15*b + 9*b + 114. Is 19 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 15*x**2 - 119*x + 31. What is the remainder when w(21) is divided by 68?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3739*g*o**2 + 11089*o**2 wrt g.\nAnswer: -3739*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -c - 5*a - 19, -2*a = -6. List the prime factors of (-5 + c)\/((-2)\/(-2370)*-3).\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11753312*d**5*s*v + d**3*s**2 - 2*d*s**2*v - d*v + 13*d + 206*s**2*v + 897*s**2 + 2*v - 1 wrt d?\nAnswer: 235066240*d**3*s*v + 6*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 5*u - 4. Let k be h(6). What is the smallest common multiple of (-4)\/(-34) - (-9090)\/765 and (-8)\/(-20) + (-256)\/k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7364 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3182)\/74)\/43*87?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -1 + 9 - -8 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1732\/95 - 88\/5. Let c = a + -117\/95. Let o = 2686 + -2683. What is the nearest to -2\/7 in c, 0.1, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/6)*t**(-19)\/t assuming t is positive.\nAnswer: t**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -213 and -0.01207.\nAnswer: 2.57091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(76) - ((sqrt(76) + sqrt(76)*-1 - sqrt(76)) + sqrt(76)) - sqrt(76)) - sqrt(76)) + 1*sqrt(76)*6)\/(1*-1*sqrt(100))*-4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Let i(b) = -1483*b + 3891*b - 3 - 1223*b + 3. What is h(i(z))?\nAnswer: 2370*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.4 (b) -0.2 (c) 0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 1175906?\nAnswer: 1175908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7610300 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6347 and 13562385.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*r + 133*r - 65*r - 5 - 2*r + 18*r - 4*r + (r + 2 - 2)*(1 + 0 + 0) to l + b*r and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/7 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9, -5\/4, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 1267 + 1261. Sort d, -4, 0, 54 in ascending order.\nAnswer: -4, 0, d, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(52)\/sqrt(4) + sqrt(13) + (1*sqrt(52)*2)**2)*4.\nAnswer: 16*sqrt(13) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 31*v - 22. Let r(g) = -g**2 + 5*g - 1. Let t(x) = -j(x) + 8*r(x). Give t(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 12. Let t = 20 - n. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18*((-16)\/12)\/2. Solve -2*y + d = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:55 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 7, 0.2, 96, 15787?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let s(c) = -3*c**2 + 2. Let w(k) = -22*k**2 - 11. Let d(t) = 10*s(t) + 2*w(t). Give r(d(j)).\nAnswer: 16428*j**4 + 888*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 + 3*u + 3. Let t(h) = 20*h**2 + 10*h + 10. Let a = -305 + 121. Let m = a + 174. Calculate m*s(p) + 3*t(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, h: 2, p: 2, e: 4, z: 3}. What is prob of sequence hpbh?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-20)\/(-12))*-9. Suppose 4*d + 16800012 = -k + 4*k, -3*k + 16800009 = -c*d. Round k to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 8*o + 3. Let d be b(-7). Suppose 0 = j + w + d - 103, -j = -w - 83. Let k = j + -168. What is k rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -263 in descending order.\nAnswer: 8, 3, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3 (c) -8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1351, -2\/13, 0.1, 5 in decreasing order.\nAnswer: 1351, 5, 0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 66. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = 5. Suppose -w = -q*w - 42. Let y = w - -27. What is the greatest common factor of 65 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 + 2*f + 1. Suppose 0 = -4*a - 4*d - 944, 0*a + 3*a - 4*d = -673. Let t = a + 230. Calculate l(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**3 - 8*a + 4. Let b be i(2). Suppose -5*l - 13 = -253. Calculate the highest common divisor of b and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34399494 and 1485.\nAnswer: 34400979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17813253 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24490*r + 12247*r - 2*r**3 - 34*r**2 + 8 + 12241*r to the form c*r**3 + w*r**2 + f + y*r and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -268b4 + -5?\nAnswer: -268b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*m + 38*m + 20*m - 115*m to a + i*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 2*h + 20, -356*m + 359*m - h + 14 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 258, 660, 1126, 1686, 2370, 3208, 4230, 5466?\n\"Answer: 5*a**3 + 2*a**2 + 361*a - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*q**3 + 9*q**2 - 9*q**2 + 1350*q**3.\nAnswer: 1048*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 180. Calculate the highest common factor of 237 and x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 537 + -542. Which is greater: i or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160\/2839 or -1?\nAnswer: 160\/2839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 7*s - 1. Let t be z(-8). List the prime factors of 1356 + -10 + t + 0.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3212.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 10) to base 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12374 and 174662.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4660*l - 41944. Determine q(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 8*p + 2*n + 4, -4*p - 3*n + 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29051 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 5. Let t(b) = b + 6. Let v be 8\/(-2) + (-3)\/(-3). Let y(d) = d**2 + 4*d - 1. Let n be y(v). Give n*t(c) - 5*w(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {u: 1, r: 1, g: 4, z: 1, q: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 14, 5.5.\nAnswer: 0.5, 5.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*155\/(236375\/(-4392))?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from cssccsccsccssec.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15990470.\nAnswer: 2, 5, 1599047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 315, 312, 297, 264, 207, 120, -3?\n\"Answer: -b**3 + 4*b + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-12))\/(4\/(-64)). Let l(u) be the third derivative of 0*u - 4\/9*u**3 + 1\/30*u**5 + m*u**2 + 1\/180*u**6 + 0*u**4 + 0. Let l(f) = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53983203, 53983204, 53983205, 53983206, 53983207?\n\"Answer: g + 53983202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.574 - 6.204. What is d rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/8)*q\/q**(-15\/2))\/((q*q**(13\/6)\/q)\/((q*q*((q*q\/q**(-28))\/q)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(893\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 27187?\nAnswer: -27186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3789 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -74384879 and -53764.\nAnswer: -74438643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165121442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -264?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/27 + 4*w**3\/9 + 14*w**2\/9 + 5*w - 2. Let k(l) be the first derivative of h(l). Suppose k(z) = 0. Calculate z.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, -1\/2, -3, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 956 - 5794 = 0. Calculate the greatest common factor of s and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 12*b + 1. Let u be r(-15). Let f = u + -87. Let k = f + 48. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(2*sqrt(486))*-5 - ((sqrt(136) + (sqrt(136)*-1 + sqrt(136))*5)\/(sqrt(32)\/(-2*sqrt(4)) + sqrt(8) - sqrt(8)))**2.\nAnswer: -68 - 5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7*(-2)\/(-2). Let d = -31 - -58. Suppose -4*i - d = -7. Which is the closest to 0.2? (a) u (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 30*x**2 - 81*x - 54 = 0.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63372?\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -k + 1, 0 = 2*x - 1 - 3. Suppose 24 = -4*f + k*f. Solve 5*h - 3*v - 2 = -6*v, -f = 2*h - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 6*r**4 - 3*r**4 + (1 + 2*r - 1)*(4*r**3 - r**3 - r**3).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121112211 (base 3) in base 7?\nAnswer: 302641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237 + -233. Solve 2*o = v*k + 8, -o - 4*k = 3*o + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 63 - 105*p - 95.\nAnswer: -105*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 748305*p + 172939 wrt p?\nAnswer: 748305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-6 + sqrt(320) + 2.\nAnswer: -22*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 39 = -0*f + z, -2*z = -8. Suppose -5*h - f - 3 = 0. Let t be 2\/1 + (-2 - h). Solve -2*a + t = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -282 - -1927. Suppose 7*t = 700 + h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 36*m**3 - 159*m**2 + 106*m + 274. Let c(i) = -13*i**3 + 54*i**2 - 35*i - 92. Let x(n) = -11*c(n) - 4*w(n). Determine x(41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, l: 3, m: 1, x: 7, h: 2}. Give prob of sequence la.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 314 - 104 = 0. Let o(p) = -59091*p - 2. Let j be o(f). What is j rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 202, 189, 160, 109, 30?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Suppose -3 - 3 = -o*z. Suppose -z*j - 385 = -3*l, -516 = -6*l + 2*l + 4*j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + (23 + (-46 - (4 - 18)) - (-10 + -2))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12305*d*u**2 - d*u + 13*d + 4936 with respect to u.\nAnswer: 24610*d*u - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226, 5, -58 in increasing order.\nAnswer: -58, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -24. Let o be (3\/9)\/((-1)\/(-3)). Let n = o - 7. Which is the third smallest value? (a) n (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/2, 2, -4, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14450 * -0.937\nAnswer: -13539.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 4, s: 1, j: 1, e: 3, k: 7}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-25) + 177\/(-5). Calculate the common denominator of (-1)\/4 + 147\/u and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -73*b - 3538. Determine f(-33).\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35720778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-79)\/(395\/(-10))*(-7)\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-1)\/90 + 0). Let v = -41 + f. Suppose -v*u - 5 = -41. Calculate the least common multiple of u and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16347805121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 9.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/20 - 5*f**4\/12 + 5*f**3\/6 - f**2 + 2*f. Let w be q(4). Suppose 5*d - w = 8. Solve d*m + 1 = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, 5, -2\/59.\nAnswer: -1, -2\/59, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Let n be 36\/21 + -2 - 144\/(-56). Factor -n*h - 2\/7*h**3 - 10\/7*h**u - 8\/7.\nAnswer: -2*(h + 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -30939790?\nAnswer: 30939790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in 1, 2\/11, 0.5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10025 and 200?\nAnswer: 80200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -2 + (1 + sqrt(13))**2 + (sqrt(13) + sqrt(13) + -1)*-2).\nAnswer: -26 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 1, p: 1, k: 1, c: 2}. Give prob of picking 2 c and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/28649 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 10:50 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14 = 3*i. Let q = i - -8. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.5 (c) 3939.16 (d) -2\/15 (e) -2\/3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97.8 + -98.05. Which is the smallest value? (a) n (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023112231 (base 4) to base 6.\nAnswer: 10340541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8646*d - 181565. What is u(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o + 42 + 66*o - 42.\nAnswer: 94*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -78*y**2. Let i(k) = -59*k**2 - 72*k**2 + 137*k**2. What is v(i(r))?\nAnswer: -2808*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 53403948?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*z + 6*z - 4 = 0, 2*p + 5 = 3*z. Solve 2*t = -4*a, -p*t = -5*t - 4*a - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700711265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 14 = 2*i + i, 0 = -5*y - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12.15. Let h = w - -0.149976. What is h rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87866 is divided by 29275?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71\/12 + -13\/4. What is the common denominator of -41\/21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 66*l**2 + 513*l + 142. List the prime factors of a(67).\nAnswer: 2, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03266992264 rounded to three dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + 18*(-112)\/(-147) - (-4)\/14. Which is smaller: -224\/5 or b?\nAnswer: -224\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 0, 5*u + 9*s = 8*s + 3452. What is the highest common factor of 60 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5369 and 27252002773?\nAnswer: 27251997404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24*(-1)\/(6\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r**5 + 0*r**5 + 0*r**5 + (-354*r**3 - 11*r**4 + 354*r**3)*(-r + r - r).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, 3 in ascending order.\nAnswer: -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7619750.\nAnswer: 2, 5, 29, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 20. Suppose -l - b = 3*l. Let d(r) = 5 + r + r**2 + 6*r - 1. Give d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 12*p**2 + 1154*p - 10635. Calculate l(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 357918852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50834 by 2.\nAnswer: 25417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 70. Suppose 2*a + 3 = 4*b - 9, 9 = 3*b + 2*a. Suppose -p + 5*p = 2*z + c, b*p = -4*z + 27. Solve 0 = 2*d - 5*n + 4, p = -4*d - n - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 7, -4, 5, 6\/13, 0.1, -5 in descending order.\nAnswer: 7, 5, 6\/13, 0.1, -2\/25, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/131 or 4?\nAnswer: -58\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1022*g + 5270. Give f(6).\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -2\/5, -16\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + 4*j - 33. Does 23 divide w(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52069736?\nAnswer: 2, 109, 211, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.977 - 0.023. Which is the smallest value? (a) 0 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 - (-121 - -130)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 4031.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(32)\/sqrt(4))*-3)**2 + sqrt(77)\/(-3*sqrt(28)).\nAnswer: -sqrt(11)\/6 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 14*y + 29*y - 5*y**2 - 10*y. Let n(t) = -3*t**2 + 2*t. Let k(c) = 10*n(c) - 4*s(c). Let u(j) = 3*j**2 - 2*j**2 - 2*j**2. Give k(u(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30060221 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 f(p) = -2*p - 5. Let m be f(8). Calculate the remainder when -655*m\/35*1\/1 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -33, -53?\n\"Answer: -20*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3))**(-10)\/(i*i**(2\/7)*i\/(i\/i**(-5))*i)*(i**(-2)*i)\/i**(-4\/3)*i**1*i*i**(6\/7)*i assuming i is positive.\nAnswer: i**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 8*u - f, -118*f - 59 = -5*u - 120*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270622549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9553974, -9553978, -9553982, -9553986, -9553990, -9553994?\nAnswer: -9553998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*t - 3 = -0*t, 2 = -2*t. Which is smaller: 6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/15)*s*s\/(s\/(s*s**(-8\/7)*s))*s**(4\/5)\/s**(-1\/5) assuming s is positive.\nAnswer: s**(293\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 3, c: 6, b: 4, p: 3}. What is prob of picking 1 h, 1 u, and 2 b?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + ((-30)\/4)\/(-15)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -809\/16 + 813\/16. Let s(n) be the first derivative of k*n**4 + 17 - 5*n + 2*n**3 + 3\/2*n**2. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8112 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2736 + 3*o - o**2 + 2719 + 17*o - 4*o. Let w = 2 - -12. Let l be g(w). Solve 2*m + 5*s = -4 - 7, 2*s + l = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0201*-1384.\nAnswer: -27.8184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 269817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(112\/21) + (-34)\/64. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u. Let i(q) = 4*q**3 - 3*q - 34. Calculate i(o) - 3*t(o).\nAnswer: o**3 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1551 - -1550.9363. Round h to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1\/4, -1, 3 in increasing order.\nAnswer: -9, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/916 and -47\/2750748?\nAnswer: 2750748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104802 or -1781635\/17?\nAnswer: -104802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1218693 by 21.\nAnswer: -58033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-81)\/90)\/(4\/10))\/((-300)\/(-13200))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 7.55 (c) -11 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 - 5*u + 3. Let v be q(-4). Let m = 21 + v. Calculate the remainder when 35 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*r - 145 = -3*r, 4*o = 5*r + 89. Calculate the remainder when 75 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from cmrcjrzrbjc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1415 = 7*z + 2295. Let x = 114 - z. List the prime factors of x.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.518 + 10.482. Let c(k) = -2*k + 9. Let x be c(7). Put j, x, 4 in decreasing order.\nAnswer: j, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.3, 8 in descending order.\nAnswer: 8, 0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2255047 and 1.4.\nAnswer: -2255045.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/6 + 4)*-8. Let x = q - 6. Factor -x - 2 + 24*f - 6*f**2 + 2*f**3 + f**3 - 13*f**3.\nAnswer: -2*(f - 1)*(f + 2)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 699 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - m - 6. Let c(q) = -5*q**3 - 3*q - 17. Let p be 78\/9 - 2\/3. Suppose 0 = -n + 3*n - p. Determine n*c(t) - 11*x(t).\nAnswer: 2*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6379*n**5 - 11*n**4*r + 15*n**3*r - 151*n**2*r + 5*n**2 + n - 373*r + 2 wrt n?\nAnswer: 382740*n**2 - 264*n*r + 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84755.11s in milliseconds?\nAnswer: 84755110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = y, r + 0*y - 2*y = 1. Suppose -12 = u - r. Let g = u + 18. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*36*517\/3384.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*k - 3*v, v + 1 = 2*k - 10. Solve 0 = -k*c + c + 2*f - 2, 2*c - 2 = -2*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8808 + -6119. Suppose -g + 10609 = 20*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -0.3 (c) 0 (d) 4 (e) -2\/25 (f) 1 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 2. Let m be 36 + (-833)\/(-153) + (-4)\/9. Let l be (m\/(-164))\/((-1)\/(-4)). Determine t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22746721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -517 + 517. Which is bigger: -4\/73 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 + -4.9. Which is the third biggest value? (a) 0.24 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6432*c + 6433*c + 61, -3*c = -3*u + 84 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = 5*j - 0*j - 2*m, j - 67 = -2*m. Suppose 133 = -7*k - j. Is k smaller than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 110*f**4 - 109*f**4 - 2 - f + 0*f as w*f**3 + x*f**4 + g*f + s + b*f**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 3. Let j(m) = 0 + 0 + 1. Let z = 0 + -1. What is z*l(g) - 4*j(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 4. Let v(j) be the first derivative of -j**2\/2 + 2151. What is v(k(n))?\nAnswer: 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -186\/7 (c) 3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**3*z**2 - f**3*z + 17*f**2*z + 3*f*z**2 wrt f?\nAnswer: 66*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) - -6*(1 + sqrt(2057))**2 - sqrt(2057)) - (sqrt(2057)*1 + -1)) + -5.\nAnswer: -12352 - 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14897, -30378, -45835, -61256, -76629, -91942, -107183, -122340?\n\"Answer: 2*a**3 - 15495*a + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 419*t - 1259. Let q be o(14). What is the greatest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133.82 - 137.82. Let q = 0.2 - 1.2. Sort j, q, -19, 0.1 in decreasing order.\nAnswer: 0.1, q, j, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j + 213*j + 11968 = 75*j - 205*j for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*t + 53, 0 = -4*t + 3 + 17. Suppose -2*f = 11 - g. Let q be f*(-4 + 308\/12). Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010100011111010 (base 2) to base 4\nAnswer: -102203322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265367090 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47411 and 0.0202.\nAnswer: -957.7022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**4 + 58*g*x**2 + 588*x**2 + 3 with respect to g.\nAnswer: -12*g**3 + 58*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let t(a) = -a. Let o(s) = l(s) + 4*t(s). Let j(m) = -19*m**2. Calculate o(j(w)).\nAnswer: 57*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-231)\/6))\/((-20)\/28)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/1824)\/((-2562)\/(-3416)).\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 6. Let s = i + -3. Let o be (2\/(-8))\/(1\/s). What is the greatest common factor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5925150 and 6270?\nAnswer: 5925150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2. Let u(c) = -4 - 2*c + 4. Calculate m(u(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7) + 143\/77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*h + 1317, 0 = -3*m - 2*h - 3*h + 798. Suppose -m - 184 = -5*c. Let p = c - -42. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -346724.05 and -0.14.\nAnswer: 48541.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 2100220020?\nAnswer: 2100212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*l + 54*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6169413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r - 15*r - 3*r + 7*r in the form o*r + l and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 175. Let m = t + -46. What is the highest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**7\/14 - m**6\/3 + 3*m**5\/5 - m**4\/2 + m**3\/6 - 6*m. Factor c(n).\nAnswer: n*(n - 1)**3*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1335 and 83\/5374532.\nAnswer: 80617980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 2, -8, -22, -40, -62, -88?\n\"Answer: -2*a**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.2. Let b = -125\/21 + 389\/63. What is the nearest to g in -1\/4, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, -4, 20, 0 in decreasing order.\nAnswer: 20, 3, 0, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 + 3 - 11) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1777 divide 149291101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 222.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 13 = 29. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*(-14)\/42*(-4)\/(-40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*z**2 + 71*z**2 - 252*z**2 - 226*z**2 + z + 2*z**2 - z + (-4*z + 4*z - 2*z)*(-3*z + 0*z + z).\nAnswer: -338*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 + 337. Let r = -3.94 + -0.06. Let q = -8 - r. What is the biggest value in q, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 53 = 853. Calculate the highest common divisor of 200 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l - 16. Let p be v(10). Let u(f) = -f**3 + 20*f**2 + 18*f - 13. Let h be u(21). Let d = p + h. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/sqrt(768))\/(sqrt(196) + (sqrt(196) + sqrt(196)*1 - sqrt(196))))**2.\nAnswer: 1\/1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10364 (base 13) in base 12?\nAnswer: 14a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-1 - -2) + -3 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimi when four letters picked without replacement from mmbmmimkmmmkmmbkmmk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:01 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9156763, 9156739, 9156701, 9156649?\nAnswer: 9156583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47520 and 35343.\nAnswer: 5654880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*o + 47, s = 3*o - 512 + 485 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, 33, -3 in descending order.\nAnswer: 33, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r + 1. Let s(w) = -14*w**2 + 10*w - 10. Let x(o) = 33*o - 67. Let b be x(2). Calculate b*s(a) - 10*j(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from qqrazrararurru.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25c + a940?\nAnswer: ab9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**2 + 7*o + 2. Let q(b) = -7*b - b**2 - 2 + b + 8*b**2. Let d(l) = 6*i(l) + 7*q(l). Let n be d(-2). Solve -n = 5*p - 3*p, -p + 2 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 11480.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-12))\/((-47)\/(-376))*(-14)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - k - 5*k)*(3146*k - 372*k - 1675*k + 2389*k + 5856*k) to the form a + x*k**2 + l*k and give x.\nAnswer: -18688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-282)*39276\/(-523680).\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226243711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -15. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p - y - 44, y - 44 = -4*p. Let u(n) = n**3 - 12*n**2 + n + 7. Let g be u(p). Let b = g - -151. What is the highest common divisor of 72 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3 - 11820*d**2 - 47232*d - 47216 = 0?\nAnswer: -2951, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-32)*90*(-8)\/3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j. Let a(z) = -3*z**2 - 103*z + 9. What is v(a(c))?\nAnswer: -6*c**2 - 206*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 8 - 8*z**2 + 7.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35200 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x*x)**(-26\/7)*(x**(2\/9)*x)\/x*x**7*((x*x*x**1)\/x)\/x**(2\/13)*x*x**0*x\/(x**(2\/11)\/x) assuming x is positive.\nAnswer: x**(118240\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3 + 2. Let c(u) = -3*u**3 + u**2 - u. Let o be c(t). Let p = o - -5. 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 minutes are there between 5:49 AM and 9:45 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132122 + 30?\nAnswer: -132032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 30. Let r(d) = 6*d - 206. Let a be r(32). Determine q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 6) + (7 - 2). Suppose -1 = -l*n - 4*w, 8*n - 3*n + 2*w - 11 = 0. Differentiate 3 + n + 6*d**4 - 4 + 3 with respect to d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 + 5 + m**2 - 6 - 2.\nAnswer: 13*m**3 + m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v + 6. Suppose -v*c + 7*c = 55. Find j such that -6*j**2 + c + 5*j - 2 + j**2 + 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*d = 24, 2*d + 25 = 2*q + 7*d. What is the remainder when 37 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n**5 + 24*n**4 - 128*n**3 - 222*n**2 + 261*n + 54 = 0.\nAnswer: -3, -2\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 + -35?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 9 + 9)*(l + l - 3*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, 70, 104, 138, 172?\n\"Answer: 34*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2390, 18780, 63210, 149690, 292230, 504840?\nAnswer: 801530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 67 - 2*a**3 - 56.\nAnswer: -2*a**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 5, 2, -8, 2056 in ascending order.\nAnswer: -8, 2, 5, 100, 2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (547568\/(-4893))\/16 + (7 - 0). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 4. Suppose k = 2, 7 = 3*a + 2*k - 21. Calculate the remainder when v is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 552*a**2 + 578*a + 4. Let h(y) = 3*y**3 - 552*y**2 + 584*y + 5. Let z(o) = 4*h(o) - 5*j(o). Factor z(c).\nAnswer: 2*c*(c - 1)*(c + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/5)\/((-112)\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 7. What is the tens digit of (2 - f)\/((-4)\/(-76))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 - 473. Let v = 579 + g. Solve 3*z - 6 = 0, -4 = v*i - z - 3*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*u = -31, -4*a + u = -0*a + 16. What is the tens digit of (a - (-504 + 3)) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16758 is divided by 469?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30784 and 16.\nAnswer: 30784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-19)\/((((g\/(g\/(g**(-8)\/g*g*g)))\/g)\/g)\/g*g*g*g*g\/g**7) assuming g is positive.\nAnswer: g**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -2\/15, -2\/27, -15 in descending order.\nAnswer: 1.6, -2\/27, -2\/15, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g - 48. Suppose 2*c + g = 3*d + 1, -10 = -2*d. Solve -c*p + 13 = 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 1.05062.\nAnswer: 1.05062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 14. Let c be (-2)\/(-8)*(-5)\/p. Suppose -c*h**2 + 0 + 1\/4*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/6)\/((-17)\/(-255)). Calculate the highest common factor of 66 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-q + 5*q - 2*q)*(69 - 50 + 83)*(6 - 1 - 4) + (3*q - q - q)*(-1 - 59 + 1) in the form b + y*q and give y.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 10400*n**2\/3 + 4397278*n + 286115988.\nAnswer: 2*(n - 2631)**2*(n + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -231. Let v be (14\/(-35))\/(2\/y). Let b be (-3 + 0)*(-56)\/v. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8642 + -8627. Suppose -m + 12 + 42 = 0. Calculate the remainder when m is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.01, -4, 2, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {i: 8, l: 2, c: 5, z: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*w + 7. Suppose -5*m = w*a - 0*m, -2*m = 5*a - 19. Find the second derivative of 2*d + d + d - 2*d**a wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885332 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8 = 0, 3*d - 3*m = -7*m + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/5, -5, -3, -0.4, 43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11778 divided by 11778?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 2208 - 2208 + 16*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19728756 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + k)*(4*k**3 + 4*k**3 - 6*k**3)*(-3 - 1 + 8) in the form z + i*k**4 + s*k + u*k**3 + o*k**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p - 3*i = -33*p - 17, -4*p = 5*i - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30877675 divided by 5441.\nAnswer: 5675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3021)\/(-9))\/((-53580)\/8460).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 - x. Suppose 3*l - 16 - 11 = 0. Calculate the remainder when f(3) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - z - 620, -5*c = -0*c + 3*z - 1528. What is the common denominator of (-78)\/(-10) - (2 + 0) and (-3531)\/c + (-4)\/14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -122423330?\nAnswer: 122423321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (23\/46 - 34\/60)*50\/100\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 = -28*j - 364 + 1147 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242c (base 13) to base 7.\nAnswer: -20615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 - 64131855703.\nAnswer: -64131855701.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-1))\/16*-15*(-104)\/(-39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37262 (base 9) to base 8.\nAnswer: -60654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -1240624. Let v be 0\/(1 - 0 - 0). Suppose 3*m + 708688 + g = v. What is m rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -298, -294, -288, -280, -270, -258?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37621, -37622, -37623, -37624, -37625?\n\"Answer: -l - 37620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123, -234, -357, -498, -663, -858, -1089?\n\"Answer: -h**3 - 104*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 4*a**2 - 18*a + 3. Let i be y(-7). Is i at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let t(j) = -24*j**3 - 60*j - 60. Determine 360*h(g) - 6*t(g).\nAnswer: 144*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 17*i - 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1697\/11 smaller than -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3, 4*i - 4329 = -2*u - 1277. List the prime factors of u.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 3*p**2 - p - 1. Let v be o(-3). Let b be 4\/(v*-4)*-10. Solve 2*l = -2*l + z + 21, -2*z = b*l - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccjcccccjccccjc. Give prob of sequence cc.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 298688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 141432?\nAnswer: 141434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 147 = 3*h - 162, -h = -4*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, 2, 4?\n\"Answer: 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/678 and -151\/24.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-4)*22\/(-220)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15503 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let n be x(4). Let v be (n + 3)*14\/(-5). Let d = v + -5. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41276, -82431, -123572, -164693, -205788, -246851?\nAnswer: -287876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9412.1199952 + -9411.12. Let r = 1 - u. What is r rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8605\/19 - -453. Which is the smallest value? (a) 1 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-26) - ((-5)\/2)\/((-3295)\/7908).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/4)\/(3*(-2)\/(-6)). Suppose v + 3 - 5 = 0. Solve -z + 3 = -2*u - w, z - 4 = -v*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356385 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*3\/(15\/(-20))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294216 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108378197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s + 10. Let u be (9\/(-3))\/(5 - 6). Let y be t(u). Let b be ((-2)\/(-2) + -1)\/(y\/(-14)). Solve -3*x + 6 = -b*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300559679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + y - 179 = 2*q, -q + 2*y + 69 = 0. What is the remainder when q is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112965854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1049986 - 1049986.0492487. Let d = u + 155.0448087. Let m = 155 - d. What is m rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 277.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 89*-0.054\nAnswer: -4.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 53. Let w be (695\/10 - 4)\/(a\/(-12)). Suppose -5*i + w = -253. What are the prime factors of i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*r - 34*r - 3*r**2)*(15*r**2 - 9*r**2 - 3*r**2 - 3*r).\nAnswer: -9*r**4 + 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 21*g - 108. Let y be z(-11). What is the third derivative of -19473*k + 123*k**y - 52*k**6 + 19473*k wrt k?\nAnswer: -6240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-324*w + 117*w - 115*w).\nAnswer: -322*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 528*t**4 - 3*t**3 + 522*t**4 - 1047*t**4 - 1 to h + u*t**4 + a*t**2 + s*t + v*t**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l - 13*l**2 - 287 + 586 - 294. Let r(u) = 6*u**2 + 2*u - 2. Determine -5*r(z) - 2*w(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 37759228*v**2 - 151036924*v - 151036928 = 0 for v.\nAnswer: -2, 37759232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2 + 9*c.\nAnswer: 3*c*(2*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfbz when four letters picked without replacement from fbbbzvbzfbvfbvbfbbf?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 1375 - 307 = 0. List the prime factors of a.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -34. Let j(m) = -13*m**3 + 10*m**2 - 4. Let i(p) = -25*p**3 + 20*p**2 - 7. Let f(s) = w*i(s) + 7*j(s). What is the third derivative of f(u) wrt u?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18549 and 2785327?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4319050?\nAnswer: 2, 5, 86381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 14. Let i be d(-10). Let x be i + 36\/(-20) + -2. What is the third biggest value in -4, x, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 9*s**2 - 6*s + 4. What is the lowest common multiple of 6 and i(8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59940 divided by 3996.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 3, h: 3, f: 1, z: 7, c: 2}. Give prob of sequence fhzc.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(2\/29)\/(g**(5\/2)*g\/g**(-6)) assuming g is positive.\nAnswer: g**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-423)\/(-36)*12\/(-9)*-30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 (base 12) in base 14?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 82 - 133 = 0. Let d(c) = 2*c**2 - 4*c - 1. Let f = 7 + -3. Calculate the remainder when n is divided by d(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3800 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:28 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)\/(sqrt(24)\/sqrt(2)) - sqrt(78)\/sqrt(12))\/((-2*sqrt(2)*2 + sqrt(2))*6))**2*6 + 1.\nAnswer: 229\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -126, -189, -254, -321, -390?\n\"Answer: -k**2 - 58*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4205*r**2\/6 + 393530*r\/3 + 18414490\/3 = 0. Calculate r.\nAnswer: -2714\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -35. Let h = v - -5. Sort 0, -3, h in increasing order.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 + 396. Which is the nearest to 13? (a) q (b) 2\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*f = 8, f = -0*f + 2. Find the second derivative of -4*c**3 + 3*c**3 + m*c + 2*c**3 - 4*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -410, -613, -814, -1013, -1210?\nAnswer: -1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160026 equal to 162870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1799 or -325665\/181?\nAnswer: -1799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 18. Let h be i(0). Suppose v = -v + h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 4:53 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17. Let k(a) = -a**2 + a + 213. Is k(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:29 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j + 104. Suppose 132 = j*q - 23*q. Is q\/(-12)*-1*411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1072\/134*(52\/(-39))\/4*6\/100\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 594 + -591. Factor -53*x**2 - 19*x**2 + 0*x**2 + 155*x + 14*x**2 - 27*x**2 + 5*x**r - 75.\nAnswer: 5*(x - 15)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-3)\/(30\/90). Let c(k) = 171*k**3 - 5*k + 604. Let t(s) = 43*s**3 - s + 151. Let i(q) = b*t(q) + 2*c(q). Differentiate i(g) wrt g.\nAnswer: -135*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45943445 less than -11328?\nAnswer: -11327.54056555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 2*g + 16*g**2 - g - 15*g**2. Suppose -4*r = 4*o - 3*r - 7, -2*r - 12 = -5*o. Let v(y) = 2*y - 6. Let k be v(o). Calculate b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35669961 rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56095 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -169. What is the nearest to 8 in 1, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -50*m - 160. Does 11 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 28. Let n be j(-11). Suppose -3 = 2*i + 3*v, n*i - i = v + 1. Solve 3*c = w, i = 3*c + 2*w - 5 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101110111 (base 2) to base 7.\nAnswer: 10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((312\/112)\/13*(-11039)\/(-166))\/((-9)\/(-60)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1916, 69, -7, 1 in decreasing order.\nAnswer: 1916, 69, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 4634 + 4634.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1\/3, 3\/5, 0.4, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43.82? (a) 3 (b) 1\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:18 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159275 - 82714. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 19*q**2 - 14*q + 45. Let s be o(10). Which is the closest to 0.1? (a) s (b) -2\/19 (c) 2\/17 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 + 12577*u**2 - 40538240*u + 6204821504 = 0. What is u?\nAnswer: 161, 6208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-9) - 4\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318486248 divided by -1.\nAnswer: 318486248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1162*c**2 + 9*c + 2325*c**2 - 1148*c**2)*(4 - 3 + 5) in the form a*c**2 + z*c + m and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 38\/11, 0.4, -1161?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46461809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - 36. Let w = -31 + m. Round w to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 3*n - 3. Let k(p) = -161*p**2 - 49*p - 49. Give -6*k(s) + 98*u(s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210715013?\nAnswer: 13, 170055001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56205637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -4 + -8 + 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1420)\/15*-2*(-2 - -5). Suppose 61*s - 57*s - w = 0. Calculate the remainder when s is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14795657672010 plus 12?\nAnswer: -14795657671998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27061364?\nAnswer: 2, 11, 615031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 47456, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + -15 - (-1 - 4). Sort 166, -1, s in decreasing order.\nAnswer: 166, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -1925 - 127. Is q at most 790\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1072, -1071, -1072, -1075?\n\"Answer: -w**2 + 4*w - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314788106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 130*r. Let i(u) be the third derivative of -u**4\/24 - 163*u**2. What is y(i(d))?\nAnswer: -130*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/((-100)\/3))\/(6\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42367 or 42365?\nAnswer: 42365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18337866 to the nearest integer?\nAnswer: 4282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2340112424 (base 5) to base 4\nAnswer: -110211010303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -7 - -1 - -3. Let d(l) = 3*l**3 - 7*l**2 + 3*l + 16. Calculate the remainder when d(w) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1216*l**2 - 95*l. Let m(t) = -38*t**2 + 3*t. What is 95*m(y) + 3*p(y)?\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z - 3*z)*((1 - z - 1)*(2*z - 2*z - 2*z) + z - z - 5*z**2 - 214*z - 25*z**2 + 214*z).\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14268*a - 148 = -14231*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130*f - 5\/3*f**2 - 385\/3.\nAnswer: -5*(f - 77)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 - 2*s + 10. Let v be z(5). Suppose -4*q + 11251 = h - 6*h, v = 5*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**5\/25 - 2*h**4\/5 + 7*h**3\/15 - 423. Factor t(d).\nAnswer: d**2*(d - 7)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 46*l + 826. Let s be c(14). What is the highest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*p - 3*i + 55, -31 = -4*p - 3*i. Let a = 6 - p. Let d(k) = -k**2 - 10*k - 6 + 0*k**a - 10. Let g(h) = -2*h - 3. What is -2*d(m) + 11*g(m)?\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166097?\nAnswer: 163, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + sqrt(3))*-4 + sqrt(9)\/sqrt(3)*-5 + -4.\nAnswer: -13*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3020222?\nAnswer: 2, 23, 65657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and 8232?\nAnswer: 107016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110252 is divided by 726?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14*y**2 - 201*y + 2734. Calculate w(17).\nAnswer: -4729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 15*x**2 + 17*x + 23. Calculate y(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862531 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(2\/40*-6). Suppose 2*o = 4*u - b, -o = 4*u - 4*o - 89. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 4*m - 341. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1936 and -125\/154?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(i*i*i\/i**24*i)))\/(i\/(i*(i\/((i*i**(-9)*i)\/i)*i)\/i)))\/((i**(10\/7)\/i)\/i)**(5\/2))**(-2\/53) assuming i is positive.\nAnswer: i**(120\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*x + 19, 23 = 3*d + 2*x + 2*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3 = 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:54 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1200 smaller than -1202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, -1\/145 in descending order.\nAnswer: 4, 0.4, -1\/145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:11 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 12 = -0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 6, -70, -218, -462, -826, -1334, -2010?\nAnswer: -2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 + 5*w - 8. Let z = -13 - -7. Is a(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -2\/29, 63, -0.07, 1\/2 in ascending order.\nAnswer: -0.07, -2\/29, 0.06, 1\/2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 182*m**2 - 350*m - 89. Let k be h(-89). Is -2493\/4 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 16. Let a = -35 - -40. Let u = 32 - a. What is the remainder when u is divided by o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 4123 = 4707*q - 4303*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*l + 33, -44 = 3*d + 3*l - 5*l. Let m be (-2)\/d - (-2)\/(-112)*-6. What is the closest to -10\/7 in m, -5, 1\/10, 1\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (-304)\/(-56))\/((-3)\/(-14))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2192, -15169, -50394, -118991, -232084?\n\"Answer: -1854*m**3 + m - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*h + 14750 = 140*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 678?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4*i = -20. Let h(k) = -8*k + 4. Let b be h(i). Let l = b - -180. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 1\/6 (c) 1736 (d) 1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12242 or -12294?\nAnswer: -12242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 = -8*d. Suppose 3*g - 65 = -2*k - 2*k, -5*g + d*k = -118. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/13 (b) 265065 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -647.162606 + 3.079806. Let y = 646.5427786 + b. Let t = y - 2.46. What is t rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -771*b + 23845. Calculate d(31).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4)*(-5)\/1)\/(475\/(-380)). Sort k, -5, 1, 2, -1.\nAnswer: -5, k, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2015 divide 43237870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -2\/11, -5.1, 0.14, -1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*c + 12, -3*x - c - 16 = -5*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9709 - -19895. What are the prime factors of p?\nAnswer: 2, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.4 - 23. Let v = 3.1 - o. Let x = -35 + v. Which is the biggest value? (a) -2\/3 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -5, -3, -14 in increasing order.\nAnswer: -14, -5, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, 4, 38, 80, 124, 164?\n\"Answer: -p**3 + 13*p**2 - 12*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8502*o**2 + 74655.\nAnswer: -17004*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12485 = -5*x - 2*p, 0 = 2*p. Suppose -29*g - x + 16243 = 0. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 0.5, 6, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 58. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s - 16*s + 20*s**2 - 2*s**3 - s**3 - 2*s**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 25, 5.\nAnswer: -14, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7608, 15219, 22854, 30525, 38244, 46023, 53874?\nAnswer: 61809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 4, 199, -29, -2 in descending order.\nAnswer: 199, 4, -2, -29, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 2*p**2 - 3*p. Let v(q) = 3*q**3 + 7*q**2 - 11*q. Give 22*g(f) - 6*v(f).\nAnswer: 4*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 721578 and 68921632.\nAnswer: 2274413856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 115 (b) -3 (c) -0.07 (d) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9677 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: Simplify -2*sqrt(272)*6.\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16436*a + 65186. Determine i(4).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45\/4, -2, 42\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 5\/6 (c) 34\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 1 c when three letters picked without replacement from ewkpc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from oefofoofoodoceedoof.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-410)\/(-2655) + (-4)\/18. Let p = d - 401\/177. Calculate the common denominator of p and ((-1)\/(-4))\/((-3)\/150).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 5. Let b = 26 - 27. Let r(a) = 1. Let z(q) = -3*q**2 - 10. Let s(o) = b*z(o) - 3*r(o). What is -7*l(u) - 5*s(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/456)\/(38\/456)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 3) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -232 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 2*u = 14*r - 949, -4*r + u + 3814 = 0. Let l = r - 948. Solve 0 = -3*c - l - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/4*(-16)\/(-10). Suppose m*h + 4 = -2*v + 12, -h = -4*v - 11. Is 16\/h*(-3)\/(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.44 * 9371.\nAnswer: 154059.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 + 127 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, d: 8, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001670703 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/8))\/a)**6 assuming a is positive.\nAnswer: a**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 663106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-68)*((-25)\/20 + (-3)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-152)\/48)\/(-1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 10*o + 44 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 16*g**2 - 17*g - 11. Let i be r(-15). Let h = i - 19. Suppose -13 = -c - 2*o, -4*o + 23 = c - h*o. Solve s + 0 = -c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4\/3, 1, 2\/3, 4, 0.4, 2.132, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341631417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 3*o + 10. Let z(q) = -2*q**2 - 8*q + 21. Let f(r) = -3*h(r) + z(r). Let p be 0*(2 + -1 + 0\/(-2)). What is f(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1163, 2, 4 in decreasing order.\nAnswer: 1163, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 110986710*h - 615902489831205.\nAnswer: -5*(h + 11098671)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = -36 - 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k**3 + 4*k**2 + 9*k + 4. Let g(s) = -13*s**3 - 3*s**2 - 8*s - 3. Calculate 4*g(h) + 3*l(h).\nAnswer: -10*h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43122.\nAnswer: 2, 3, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 11. Let r(q) = 2*q**2 - 2*q + 1. Let p be r(4). Let j be 97200\/(-2 + g)*p. What is j rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818.1637 months in centuries?\nAnswer: 2.34846975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a factor of 103445601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 531 and 708.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 3. Let i = 0.05 + 0.05. What is the nearest to 0 in 2\/5, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12610 + -12605. Suppose -n - 5 = 4*n. Let x(u) = 2*u. Let t be x(n). Which is the nearest to 5? (a) 2\/11 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7490 + -7487. Let f = 1.4 - 1.5. Which is the nearest to -2\/5? (a) k (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463980 (base 12) to base 5.\nAnswer: -242020240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2. Let x(i) = -6*i. Let c(l) = -l. Let y(q) = 11*c(q) - 2*x(q). Determine y(z(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*g - 13*g - 3*g)*(0*g**3 + 3*g**3 - 2*g**3)*(-32 + 24*g + 32).\nAnswer: -1992*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107.2 + -4.6. Let v = 103 - y. Which is the third smallest value? (a) -3\/26 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/180*-1*-3*-6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/15, -13710, -0.4 in descending order.\nAnswer: -2\/15, -0.4, -5, -13710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371073914 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-437)\/161*1\/(-2)*-6)\/((-28)\/196).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 38025.\nAnswer: 3346200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, 1 d, and 1 z when four letters picked without replacement from {h: 1, d: 1, e: 1, z: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v + 25 = 0. Suppose -3*m + c - 2*c = -251, -v*m + c + 413 = 0. Let z(k) = -4*k**2 + 83 - m. Let w(f) = -2*f**2. Determine w(z(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.1558\nAnswer: -0.4674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(261\/81 - 3) + (-6)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15414170.\nAnswer: 2, 5, 449, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -68\/5 (b) -5\/4 (c) 2\/11 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -w - 2*w + 272306, -n = -4*w + 363069. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 2*c + 2. Let t be w(3). Factor 5*z**4 - 3*z**4 - 2*z**4 - 4*z**4 - 4*z**t.\nAnswer: -4*z**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w**2 + 7*w + 1. Let j be ((-2)\/(-3))\/((-290)\/(-1305)). What is h(j)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/83)*b)\/b)\/(b**(2\/3)*b) assuming b is positive.\nAnswer: b**(-421\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -105 (b) -1\/2 (c) -0.2 (d) 0.5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11))**(-1))**(-3\/22) assuming n is positive.\nAnswer: n**(3\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14 and 31\/1638?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**2. Let j(s) = 28*s - 1. Calculate j(l(w)).\nAnswer: 168*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 0 (c) -1368 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 4. Let a be k(-8). Let v(u) = u - 4. Let h be v(4). Find the third derivative of 4*n**2 - 2*n**a - 6*n**2 + h*n**2 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 4 + (-25)\/5 + -3. Let f(g) = g**2 + 10*g + 9. Calculate f(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) -0.04 (b) 2 (c) 15.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -531 + 90 - 456 - 36*p**5 - 8940*p**2 - 836*p**4 - 5264*p + 113 - 5260*p**3 = 0.\nAnswer: -14, -7, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-5)\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-1\/3)*d)\/d)*d*d*d\/d**1)\/d**(-27))\/(d**(2\/9)*d*(d\/(d*d**(-2\/7)))\/d)**(-46) assuming d is positive.\nAnswer: d**(3383\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 45. Suppose 4*d + 8*u - 3*u = 239, -2*d + 124 = 4*u. Let i = d - g. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 + 9350*b**2 - 102035*b - 390390 = 0. What is b?\nAnswer: -3, 14, 1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-10))\/(12\/9)*(-770)\/165?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -360*t**2 - t + 272*t**2 - 349*t**2 - 132*t**2 + 2*t**3 in the form f + r*t + h*t**2 + d*t**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13276116 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.2 in -1\/68, 1\/6, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11 = -3*m, 577 = -4*m - 5*l + 592 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 24. What is the closest to -2\/3 in -1, 5\/4, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c1932ab + -1?\nAnswer: 1c1932aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -8. Suppose 3*k = -2*u - 102 + 492, 2*k = 5*u + 279. Let a be (-66)\/k*(-1)\/(-2). What is the nearest to -1\/2 in a, 1\/5, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816673 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*h = 10, 0 = -a + 5*h - 4 + 5. What are the prime factors of (-2 - (-69)\/2)\/(a\/(-24))?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 181223 and 11053.\nAnswer: 286151117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 589 * 2181.\nAnswer: 1284609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 10. Let g(f) = -f**2 + 5*f - 20. What is 2*g(t) + 5*x(t)?\nAnswer: -2*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12021220220 (base 3) to base 5\nAnswer: -11313230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40642 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 44*r**3 - 2*r**2 + r. Let z(p) = -p**3 - 4*p**2 + 41*p - 35. Let a be z(-9). Calculate f(a).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -22 - -1) + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = -o - 114, o = 2*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*i - 6, 2*i + 3*g + 8 = 6*g. Let s = -10 + 2. Put i, s, 1 in ascending order.\nAnswer: s, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -23 - (43 + -22 - 23)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -96, -160, -230, -306, -388?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*q**3 - 364*q**3 - 382*q**3 + 1147*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 14*i**2 - 79*i + 463. Determine m(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -42*d**2 - 16599*d - 3426. What is x(-395)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 50460?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 26 = -2*t, 4*t + 4 = 5*v - 2*v. Suppose q + 3 - v = -2*p, 3*p - 10 = -4*q. Find the second derivative of -5*k**3 + 2*k**3 + p*k - k**3 - k wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -43 (c) -0.3 (d) 0.5 (e) 626.6 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 9*u. Suppose u = -11*k - 128 + 95. Which is the second smallest value? (a) k (b) -1 (c) 2\/7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*b*l**3*q**3 + 310*b*l**3*q**2 - 3*b*l*q - 2*b*q**2 + l**3*q + 21*l**2*q**3 + 72*l**2*q**2 wrt l.\nAnswer: 492*b*q**3 + 1860*b*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:09 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(-w - 5*w + w) + 3*w + 0*w - 5*w - 7*w + 44*w - 17*w)*(-w + 2*w - 4*w).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20323294?\nAnswer: 2, 10161647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.03 + 1.03. Which is smaller: 7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51817249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + u**2 + 3 + (-u**2 + u**2 - u**2)*(4 + 13 - 5).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.24*129.\nAnswer: 159.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:41 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-7)\/5*5\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 3*m**2 - 3*m**2 + (4*m + m - 3*m)*(5 + 4*m - 5).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -889, -2, -977 in ascending order.\nAnswer: -977, -889, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Which is the second biggest value? (a) -8 (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54892+89\nAnswer: -54803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:13 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3833 + 5463. Suppose -j - k = -3*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-78))\/((-3)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0 (b) 1\/7 (c) 3998\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*u + 4 = -0*o, -3*u = 4*o - 1. What is the derivative of -5*t**3 - 2 + 0 - 3*t**o + 5*t**3 wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 1, -19, -57, -119?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -24*j - 16. Suppose -b = 3 - 5. Let o be n(b). Let a = -10 - o. What is the remainder when a is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 255. Let l(g) = 26*g - 10. Let j be l(4). Let b = j + c. What is the remainder when b is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 0.1 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 10\/989, 4, -18 in decreasing order.\nAnswer: 4, 10\/989, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((99\/(-12))\/11)\/(60\/80)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (15 - (11 + 8)) + 583*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79367.5 rounded to the nearest 1000?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -530199*a**3*i + 2272*a**3 - 95*a**2 - 3*a - 1 wrt i.\nAnswer: -530199*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 4*q - 95 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/2*6\/12. Let w be -1*(m + -5) + 16. Let f = -283 + 319. What is the highest common divisor of w and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d + 9463561*d**2 - 9458364*d**2)*(-d**2 + d**2 - 2*d**2) as y*d**3 + w*d + p*d**2 + j*d**4 + s and give j.\nAnswer: -10394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 363 - 174. Suppose 0 = -0*k - k + v. Calculate the highest common divisor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {e: 1, f: 5, k: 1, l: 3, b: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(160) + (-1 + sqrt(425))**2 + sqrt(425) + sqrt(425).\nAnswer: sqrt(17)\/4 + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -122312112 (base 4) to base 12\nAnswer: -53786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 5, -77?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (9 - (11 + -6 + -4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15856 is divided by 95.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 93*u**2 + 1117*u + 16. Let s be d(-12). What is the highest common divisor of s and 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 648*d + 650*d - 77 = 1951*d - 651*d, 4*q - 117 = 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2675, 21595, 72961, 172997, 337927, 583975?\n\"Answer: 2704*h**3 - h**2 - 5*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21550 - 21563. Let o = -6 + 11. Put a, o, 7 in descending order.\nAnswer: 7, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 10, s: 3, a: 2, h: 1}. What is prob of sequence hs?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -13)*3\/((-45)\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44146*p = 37829*p + 486409 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -60. Let r(p) = -p**3. Let z(d) = -d**3 + 5*d + 57. Let f(c) = k*z(c) - 4*r(c). What is the derivative of f(b) wrt b?\nAnswer: 9*b**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-450)\/(-21))\/(2\/14). Let h = -5 + 20. What is the highest common factor of w and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -8 in decreasing order.\nAnswer: 12, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 147 = -24*s + 229. Let u(j) = -j**3 - 7*j**2 - 7*j - 2. What is the lowest common multiple of s and u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735727.5mg to tonnes.\nAnswer: 0.0007357275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 698116.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g - 303 = 102 - 1875 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 74832.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19847 is divided by 1323.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9669 - -9571.032. Let g = 0.032 - d. Let u = g - 98.00296. Round u to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-25) - 6 - 120\/(-225))\/30.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**8\/80640 + d**7\/5040 - d**6\/960 + 8*d**5\/15 + 30*d**2. Let i(t) be the third derivative of g(t). Factor i(a).\nAnswer: -(a - 3)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4445 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -191. List the prime factors of w.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 18*u + 4*b + 37734, -5*b = u - 7570. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1668, -3360, -5052, -6744?\nAnswer: -8436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 12*s + 3. Let j(v) = -v + 25. Let y be j(13). Suppose y*m - 257 = -113. Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1346 + 5?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8486 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 10647?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/21 + (-387)\/7. What is h rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47063032283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + sqrt(275)*-2 - 3*sqrt(275)*6) + 2) + -4.\nAnswer: 5 + 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1243.8*-9.71\nAnswer: 12077.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -0.17, 5, 3 in descending order.\nAnswer: 5, 3, -1\/11, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 3. Calculate m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 + 87*s**4 + 138*s**3 - 2316*s**2 + 4584*s - 2496 = 0. What is s?\nAnswer: -26, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 167976064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjittbh. Give prob of sequence hjtt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8927888ng?\nAnswer: 0.0008927888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 1, 4, -132, -0.093, -0.2.\nAnswer: -132, -0.2, -0.093, 1, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 45*h - 50*h + 3*q, -3*q = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.990216 micrometers to millimeters.\nAnswer: 0.006990216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/6)\/168*45*(-168)\/(-882).\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 6 = 4*g + 14, q + 3*g = 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 0, 0 = 2*p - 5*s - 4 - 6. Suppose 6*k - k = -15, p*j - 2*k - 1566 = 0. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v - 7. Let u(c) = c - 1. Let g(q) = -l(q) + 5*u(q). Let x be g(-8). Round x to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*k + 98*k - 39. Suppose -328 = -4*z - 2*l, k*z + z - 356 = 5*l. What is the highest common divisor of z and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45696 is divided by 3045.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6691023 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506 equal to 2\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 1.6. Let k = w - 1. Let o = -2.4 - -2. Which is the closest to k? (a) 5\/4 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106? (a) -1\/4 (b) 4\/7 (c) -3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -123013414?\nAnswer: 123013410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 43\/24*c**4 + 54*c**2 + 0*c + 0 + 0*c**3. Let x(f) = -3*f**2. Determine n(x(y)).\nAnswer: -129*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -v + 4*k - 1, 0 = 2*v + 2*k - 18. Suppose -n + v*n - 4 = 0. Solve 9 = 2*i + n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3573 and 1191?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008665514 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1660*v + 78488. Give q(47).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 218\/8)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -66*d**2 + 5*d - 4. Let k(b) = 14*b - 41. Let x be k(3). Let u be f(x). Is -62 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*g + z, -3*g = -5*z - 23 + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 1. Let k = 3 + 3. Suppose 0 = -3*p - k - 3. Let h(y) be the first derivative of -2*y**2 + 2*y - 2. Determine p*h(q) - 7*w(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/126)\/((-3045)\/783)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1377, 2749, 4121, 5493, 6865?\n\"Answer: 1372*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 212220220102221 (base 3) to base 5\nAnswer: 11223311403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 2498 = -177. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - (-10 + 16)) + -1 + -11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q = 0. Suppose 0 = -l - 13 - q. Let y = 18 + l. Solve o - 14 = 3*x, -17 = 2*o + y*x - 2*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:32 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, 39\/1460, -0.362?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2323 divide 913744342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 68, -11, -2 in increasing order.\nAnswer: -11, -2, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 4, -4, 2\/11, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267017700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(((-3*sqrt(1584))\/sqrt(4))**2 + -4).\nAnswer: 17800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/11)*w**4\/w)\/(w*((((w**(-2\/7)*w)\/w)\/w)\/w*w)\/w*w)**(8\/11) assuming w is positive.\nAnswer: w**(254\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b - 8 = 36*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*w - 5 = -0*m, 0 = 5*m + 2*w - 2. Let o(y) be the second derivative of -y**3\/6 + 5*y**2 + y. What is the remainder when o(m) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 18. Let b = -9 + c. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22040661, 22040773, 22040883, 22040991, 22041097?\nAnswer: 22041201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.1 and -1801?\nAnswer: -23593.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 409900920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 16*v - 3 = 0. List the prime factors of -3 - -78 - (0 - v).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/29))\/j)**(-45)\/((j\/(j**21*j)*j*j)\/((j\/(j**(1\/21)*j))\/j)) assuming j is positive.\nAnswer: j**(9043\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*h - 57*h - 207028 = 137*h - 188107 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9798 + p**3 - 3*p**4 - 3*p**3 + 15*p**2 - p - 9809 to the form z*p**3 + s*p**2 + g + o*p**4 + r*p and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*v - 30, -m - 5 = -4*v + 4*m. What are the prime factors of (-2)\/v + (-4114)\/(-110)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -76*v - 19*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 403112721 by -7904171.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 30 (c) 0.2 (d) 1\/159 (e) -1\/5 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 25*r**2 + 7*r + 6. Let i be o(-3). Suppose -4*g - 109 = -3*n + 52, 0 = 5*n + 5*g - i. Calculate the lowest common multiple of n and 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 2, k: 11, u: 2}. Give prob of picking 1 y, 1 u, and 1 r.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-77709870)\/(-46))\/45 - 4*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -140. Let c(q) = -96*q - 18. Suppose -m + 7*y = 11*y - 7, 3 = m + 2*y. Let w be c(m). What is the highest common divisor of w and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 59*z + 32. Let l be o(-21). Suppose -2*a = -5*t - 959, -701 - 250 = -2*a - 3*t. Let k = l + a. What is k rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 1885947 - 2*x**2 - x**2 - 5*x + 6434321.\nAnswer: -x**3 - 3*x**2 - 5*x + 4548374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b5b + 0?\nAnswer: 1b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, -16, -113, -264, -469, -728, -1041?\n\"Answer: -27*z**2 + 38*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51556351, 51556352, 51556353, 51556354, 51556355, 51556356?\nAnswer: 51556357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(1\/(-3)). Let u = k + 2. List the prime factors of (112\/12)\/(u\/12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + c + 2*c - 12, 4*h = c - 4. Suppose h = 3*f - 6. Solve -16 = f*x - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48474 (base 9) to base 12\nAnswer: -16957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19*s - 47 = 23*s, -5*w + 4*s - 23 = 0. Put 7, w, 5, 0 in descending order.\nAnswer: 7, 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5597258 or -1?\nAnswer: 1\/5597258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + m + 275, -220 = -4*x + 3*m. Suppose 3*u - 3*v = -x + 307, -72 = -u + 4*v. Calculate the greatest common factor of 132 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 333482136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 18*v + 0*v**2 + 4*v**2 - 8*v + 21. Let m be q(-9). Suppose 0 = 3*r + 3*r - m. Solve -2*f - r = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1753677 and 1827.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*y - 7*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 17. Let n be (r\/(-4))\/(1\/2). Let g be 3\/(-5)*67\/(-201). Sort n, -2, g in descending order.\nAnswer: g, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212777 is divided by 106?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.411 + -3.411. What is the nearest to u in -0.4, -0.1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 10*l - 14. Determine u(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*y + 26*y**2 + 4*y + y to the form r + p*y**2 + h*y and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*k - 7*k. What is the units digit of ((-13)\/4)\/((-2)\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39, 16993, -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 14, 5, -3, -17 in descending order.\nAnswer: 14, 11, 5, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59637*k - 59674*k - 3093 = -59 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 2*c**2 - c + 1. Let n = -382 - -383. Let g(z) = 2*z**3 + 13*z**2 - z - 6. Let m(p) = n*g(p) + 3*y(p). Give m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64 + -2b71b?\nAnswer: -2b783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/36 + 2)\/((-5672)\/34032)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 4*s**3\/3 - 17*s**2 - 3*s - 5. Let l be f(5). Calculate the greatest common divisor of 114 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114451 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1. Let h(y) = 100*y**2 + 3*y - 5. Determine -h(r) - 5*n(r).\nAnswer: -100*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/(((a*a**(-4)\/a)\/a*a)\/a))\/a)\/(a*a\/a**(-5)))**17\/(((a*a**(-1\/4))\/a)**(3\/7))**11 assuming a is positive.\nAnswer: a**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 62178*n + 1057893.\nAnswer: -3*(n - 20743)*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22220211200000 (base 3) in base 2?\nAnswer: -10010000101010101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:25 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*t = -6, 4 = -5*l - t + 19. Suppose -l*z = z. Suppose 0*d + d + 42 = x, 3*d + 3 = z. 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 remainder when 363 is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2048332998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3464*y - 3469*y + 46, -9*y + 89 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 + 4*t - 9. Let d be m(-6). Which is the closest to d? (a) 0.8 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 68021400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - -0.034. Let s = t + 0.086. Put 0.3, s, -0.2, -5 in decreasing order.\nAnswer: 0.3, s, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28140*v**6 + 2*v**4 - v**2 - 13*v + 17.\nAnswer: -3376800*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/2)*p*p\/(p*p**(-2)))\/(p**(-4)\/p**(-3\/5)))\/((p**(-2\/3)\/p)**(1\/64)*p**(-4)\/(p*p\/(p*(p*((p**(5\/2)\/p)\/p)\/p)\/p))) assuming p is positive.\nAnswer: p**(10009\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*z**4 + 2*z**3 - z**2 + 1871*z - 184602 with respect to z.\nAnswer: -40*z**3 + 6*z**2 - 2*z + 1871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.5 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)*-2 + 5. Let v(q) = q + 1. Let c be v(n). Solve -c*p = -9*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1266*c - 127172 - 53866 for c.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 3. Let r(p) be the second derivative of p**2\/2 - 3*p. Let k(n) = -3*r(n) + v(n). Let b(d) = 2*d**2. Determine b(k(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*2 - (-2885)\/1154?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15409 or -16277?\nAnswer: -15409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 - 6*o**2\/13 - 18*o\/13 - 10\/13.\nAnswer: 2*(o - 5)*(o + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200101 by 6.\nAnswer: 200101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2849, -2841, -2819, -2777, -2709, -2609, -2471, -2289?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.60177 months to decades.\nAnswer: 0.35501475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*((sqrt(88)*2 + sqrt(88) - sqrt(88) - sqrt(88))*-6 - sqrt(88)))\/(sqrt(56)\/(1*sqrt(7)) - sqrt(32)*1).\nAnswer: 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = -3*o + 1, 0 = 2*f - 3*o + 6. Let z(q) = -11*q + 21. Let w(p) = 23*p - 43. Let r(y) = 4*w(y) + 9*z(y). What are the prime factors of r(f)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 48*z - 2687. Determine v(-81).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 3301410?\nAnswer: -3301413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -47\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169256 is divided by 2603.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -16*j + 2. Let g(v) be the third derivative of -5*v**4\/8 + v**3\/6 + 2263*v**2. Determine -3*g(d) + 2*k(d).\nAnswer: 13*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = t - 4*p, 30 = 3*t - 2*p - 0*p. Suppose -3*u + 4 = u, 3*z - t = 4*u. Factor -h**2 - 9\/2*h**3 - 5\/2*h**5 - 6*h**z + 0 + 0*h.\nAnswer: -h**2*(h + 1)**2*(5*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*j + 2*a - a, 57 = 4*j - 3*a. Let l = -89 - -103. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -10 + 2. Let m = -56\/3 - -398\/21. What is the nearest to f in -0.2, m, -3\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 103887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from odojojdohdoodo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 206 * -15.\nAnswer: -3090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from apmtpmamm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2038.449mm to micrometers.\nAnswer: 2038449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658676378?\nAnswer: 2, 107, 3077927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14720 smaller than 2183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -47. What is the least common multiple of s and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 58\/3?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8054 is divided by 2675?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3 - 3)*(-125 + 584 + 55 + 2*w**2).\nAnswer: -2*w**3 - 514*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 8 (b) -0.13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let h = 75 + q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -2. Differentiate 6 - 3*v**2 + q - 10 with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 19*i + 121. Let u(o) = -96*o - 603. Let n(z) = 11*m(z) + 2*u(z). Let l be n(-6). Solve -24*g + l*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10441008?\nAnswer: 2, 3, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*h**2 - 162*h**2 + 77*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.6121um in nanometers?\nAnswer: 219612.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7816, 15307, 22800, 30295, 37792?\nAnswer: 45291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - -111111011010100100?\nAnswer: 111111011010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 8 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 = -3*l + 85. Let c = -136 + l. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83231 + -83195. Suppose -a + 5*w = 2*a + 5, 4*a + 2*w - 2 = 0. Solve -6*t - r + 6 = a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 136*v**2 - 326*v + 6575. Determine h(138).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 143*b = -31*b + 337, -3*n + 2*b - 4152 = -4161 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1839*m - 428*m + 2351*m - 3516*m**2 - 636*m - 1619*m**2 wrt m?\nAnswer: -10270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68440401.\nAnswer: 3, 7604489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113.3588 + 26.3612. Let u = b - -87. What is u rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1316965 + -0.3.\nAnswer: -0.4316965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.3 (b) 1\/3 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g - 11. Let j be s(-8). Let n = j + -17. Let v be (n\/(-2))\/(6\/(-12)). Solve -f - 10 = v*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1155)\/(-616))\/((-2)\/(-16)*-6). Suppose 13 = -3*m - 74. What is the fourth biggest value in -4, l, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 8*u + 19647 = -16*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**3 - 110*k**2 - 20 wrt k?\nAnswer: 3*k**2 - 220*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - z + 6*z + 2951 = 0, -2*j + 3*z + 1968 = 0. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49888\/80 + 4\/((-60)\/9). Let q = f + -602. What is the greatest common factor of 168 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, 32\/979, 0.5, -580?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 272107 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + h - 15359 = 0, -4*h = 5*m - 2*h + 19215. Let s = -268811\/70 - m. What is the common denominator of 75\/16 and s?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n. Let h(k) = 8*k - 30637. Determine c(h(z)).\nAnswer: -24*z + 91911","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -327901, -655795, -983689, -1311583?\n\"Answer: -327894*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(84)\/sqrt(3))*4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:46 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmyyy. What is prob of picking 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-60))\/(11\/154*-2)*-5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36580864 is divided by 2392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5\/7 + 132*o**4\/7 - 8*o**3\/7 - 264*o**2\/7 + 4*o\/7 + 132\/7 = 0. What is o?\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u + u + 11*u. Let p(l) = 5*l**2. Give p(d(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 j when three letters picked without replacement from {c: 1, x: 1, j: 5, d: 9, h: 2}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743*r = -738*r + 5*x + 10, x + 2 = -4*r. Let m = -164\/237 + 2\/79. What is the nearest to m in -2\/19, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*v + 15 = -7*v, 4*u + v + 5 = 0. Solve u = -2*y + 4*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2 + 121*b - 372 = 0.\nAnswer: -124, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -55*((-2)\/(-13))\/(-44*13\/(-3718))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60268 and 1708.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 43565*f**2 - 114814280*f - 81573746640.\nAnswer: -5*(f + 1137)*(f + 3788)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y + 3. Let u be h(-3). Suppose -k = 5*k + u. Let g be k\/(24\/15)*-2. Calculate the highest common factor of g and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(0*k + 2*k + 0*k)*(10*k**2 - 4*k**2 - 86*k**2).\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*c + 4*r, -2*r = c + 2*r - 29. Suppose -4*s = -c*s - 4*i + 97, -2*s - 4*i = -46. What is the remainder when 1817 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -520264755353 and 50.\nAnswer: -520264755303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124497760811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/2544)\/(3\/2328)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -5 - 5) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 15*a**2 - 4*a + 4. What are the prime factors of p(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1750 = -10*i + 5*i. Suppose -2*s - i + 130 = 3*d, d - 220 = 2*s. Let y = s - -255. What are the prime factors of y?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -1761652.\nAnswer: -17\/880826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 208 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70671570 or 70671569?\nAnswer: 70671570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:20 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -126, -235, -402, -645?\n\"Answer: -3*k**3 - 2*k**2 - 42*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 15*r + 18. Let f be p(-14). Sort f, -6, -5 in descending order.\nAnswer: f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 13*h**2 - 21*h + 13. Let f(k) = k**2 - 1. Let w(p) = 6*f(p) - r(p). Give w(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 283244 and 284765.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 1284037*r**2 - 617354*r**2 - 666683*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-6 - (-20 + -8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhtthihintnxhhin. Give prob of sequence hixn.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 - 35\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 11, y: 3}. What is prob of sequence yy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18707926*i**2 - 47*i - 6400?\nAnswer: 37415852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 27*o - 27. Let i(a) = -a**2 - 27*a - 27. Let t(j) = 2*i(j) - 3*m(j). What is the units digit of t(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 + 195623?\nAnswer: 195664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*c - b, -b - 113 = -5*c + 16. Let v = 39 - c. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.902 + -4.902. Let x = -4 + 4. Suppose -3 = -g - x. Which is the nearest to i? (a) 2 (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 2, z: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 3, l: 4, f: 2, y: 1}. Give prob of sequence mj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 3\/5, -1011, 68?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 576*l**2 - 9*l - 9. Let k(t) = -287*t**2 + 5*t + 5. Let p(i) = 5*j(i) + 9*k(i). Let r(m) = 2*m**2. What is r(p(u))?\nAnswer: 176418*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335740 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49317 and 7?\nAnswer: 345219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*k + 185. Let c = k - 14. What is the remainder when 31 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217006 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 5*d - 6. Let n be b(-4). Let r be 2 - (n + 6)\/(-2). Solve 3*t = 1 - r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*z = 2*q + 16, 5*q = 4*z - 36. Let x = q - -148. Suppose -229 = -d - 2*d - 2*s, -2*d = -3*s - x. What is the greatest common factor of 50 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 15*r - 52*r + 22*r + 30.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, d: 2, y: 1}. Give prob of picking 1 y and 2 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**0\/f))**(-1\/2)\/((f**(-1\/2)*f)\/f)**22)\/(((((f*f**(-5))\/f)\/f)\/f)\/f**(-6)*(f\/f**(-2\/3))\/f**(2\/13)) assuming f is positive.\nAnswer: f**(370\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/7702207?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 160868*r\/3 - 53622.\nAnswer: -2*(r - 80433)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-3)\/90 + 2 + 2416\/(-1440). Let 0*w**3 - 2\/9*w**5 + 4\/9*w**4 + 0 - 4\/9*w**2 + o*w = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 z, and 1 i when four letters picked without replacement from {r: 1, j: 2, o: 5, z: 3, i: 5}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14890.259 rounded to the nearest one hundred?\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8555\/2538 + 168\/47. Let v = t + -10\/27. What is the third smallest value in v, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53374248.\nAnswer: 2, 3, 109, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2. Let k(z) be the third derivative of 17*z**4\/8 + 7*z**3\/2 + 20*z**2. Let j(b) = 5*b + 2. Let g(p) = 63*j(p) - 6*k(p). Calculate g(n(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7211620 by 5.\nAnswer: -1442324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-525)\/75*1\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14310 and 207415.\nAnswer: 593621730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**4\/24 - 4*s**3\/3 + 20*s**2. Find the first derivative of c(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6384.879 milliseconds?\nAnswer: 6.384879","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108) + (sqrt(108)*1 - sqrt(108)) + sqrt(108) + sqrt(108))\/sqrt(4) - (sqrt(27) + -1 + -1*sqrt(27)))**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/4831959 and 1\/10.\nAnswer: 48319590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 169874.\nAnswer: -1\/84937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, -45 in descending order.\nAnswer: 0, -2, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**2 - 11*b + 76*b**2 + 9*b + 2*b + 78*b**2.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21656 - 64970 + 6813*f + 21655 + 21659 to the form a + c*f and give c.\nAnswer: 6813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -100, 1\/49, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 5:07 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -6\/13*y**2 + 0*y + 2\/13*y**3 + 8\/13 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203083.59 months in years?\nAnswer: 16923.6325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 131*r + 215. Let u(y) = 48*y + 72. What is -3*n(z) + 8*u(z)?\nAnswer: -9*z - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let w = -33161\/3 - -11202. Let u = 150 - w. Which is the second biggest value? (a) u (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 45 = 29. Let n = -60 + d. Is 0 - n\/2*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19787, -37341, -54891, -72437?\nAnswer: -89979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 16.3. Let f = 1.99 - 2.09. Let n(k) = -2*k**2 + 13*k - 7. Let z be n(6). Which is the fourth smallest value? (a) z (b) f (c) v (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 52\/9, 3, 0.1, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 1\/2*i**3 + 0*i**6 + 0 + i**2 - 2\/105*i**7 + 0*i + 0*i**5 + 0*i**4. Find the first derivative of p(l) wrt l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -5\/12*n**4 - 5 + 0*n**3 + n**2 + n. Let o(c) be the first derivative of h(c). Find the first derivative of o(y) wrt y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -638280, -638197, -638108, -638013, -637912?\n\"Answer: 3*i**2 + 74*i - 638357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-6)*h)*h*h**(-5))\/(h**7\/(h\/h**3))*((h*h*h*(((h\/h**(-7))\/h)\/h)\/h*h)\/h)\/h*h*h*h**(2\/3)*h*(h**(2\/5))**(-1\/5) assuming h is positive.\nAnswer: h**(344\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/7 + 73587*w\/7 + 1067432\/7 = 0. Calculate w.\nAnswer: -29\/2, 36808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**3 + 18*i**2 + 23*i + 9. What are the prime factors of s(-10)?\nAnswer: 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v**(-10)*v*v)))\/(v\/((v**(3\/4)\/v)\/v))*v\/(v**1*v)*v*v*((v**(1\/17)*v)\/v)\/v assuming v is positive.\nAnswer: v**(-557\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 30*g + 1011. Give p(-33).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30 = -2*m. Let f = m + -17. Let n = f + 13. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157609429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 168*p**4 + 1803*p**3 + 15090*p**2 + 33108*p + 23064 = 0.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*k + 82, -89*k = -5*n - 93*k - 54 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*m - 29, -g - 25*m + 39 = 31*m - 51*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478949 divided by 51?\nAnswer: 28999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 42 = -12*n. Let x(u) = -178*u**2 - 5*u + 19. Let r(g) = 119*g**2 + 3*g - 13. Let o(h) = n*r(h) - 5*x(h). Is o(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 14) to base 9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 + 276*z + 273 = 0. Calculate z.\nAnswer: -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/341 (b) 8 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 563 + 106. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. What is the common denominator of -3 + 224\/(-36) + n and -55\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-51)*2)\/(-1). Is -1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/769 + -2329\/8459. Let f = 3074\/3 + -1034. Calculate the common denominator of y and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -496 - -494. Which is greater: i or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w - 5. Let f be k(-1). Let t be (-9)\/(36\/(-32)) - f. Suppose -2*h = -t*s + 118, 2*s - 4*h = -2*s + 128. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/37002 and 27\/14509189?\nAnswer: 609385938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 61, 120, 203, 310, 441?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -4*s - 395. What is the smallest common multiple of 488 and s?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*n - 37, 16*k - n - 21 = 11*k. Solve k*o = -4*o + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -600, 2\/35, 0.01, -5, 2.\nAnswer: -600, -5, 0.01, 2\/35, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/((-6)\/9). Suppose -q = -5*a + 3*a, -4*q = -5*a - 3. Put r, 0, a in ascending order.\nAnswer: 0, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478407, 956814, 1435223, 1913634?\nAnswer: 2392047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - 0 - (5 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/44160*168*(-12)\/14.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1139, 1026, 859, 656, 435, 214, 11, -156?\n\"Answer: 3*g**3 - 45*g**2 + g + 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8472 divided by -2?\nAnswer: -4236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 + 95 = 0. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 910*28\/(-2254)*23*(-1)\/4?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2321424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -19012\nAnswer: 111\/19012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/1140 - 89*h**5\/570 + 65*h**4\/57 - 172*h**3\/57 + 14*h**2 - 29*h + 2. Factor q(z).\nAnswer: 2*(z - 86)*(z - 2)*(z - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51\/1 + (-3 - -1) + 5. Suppose 2*c + r = 64. Let i = 34 + -30. Solve -c*f - m = m - 26, 0 = i*f + 4*m - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7736?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + (10 - -18) + -23 - -17?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -687558.\nAnswer: -13\/687558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*n + 6*n + 535, 2*b + 4*n = 370. What is b rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 10 = y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21224, -42431, -63628, -84809, -105968?\n\"Answer: p**3 - p**2 - 21211*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*x = x - 109, 3*b + 5*x - 89 = 0. Suppose -d - 2 + 16 = k, -3*d + b = 2*k. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l - 26. Let d be g(-3). Let u(p) = -3*p**3 - p**2 + p - 11. What is the hundreds digit of u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/5 - j**4\/2 - 7*j**3\/3 + 10*j**2 - 12*j - 4. Factor l(n).\nAnswer: (n - 2)**2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -35*j + 92. What is the remainder when 250 is divided by a(0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 8. Let m = 24 - j. Let l = -3809 + 3813. Solve 4*q + 24 = g, g = -l*g + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-384)\/24 + 34 + -13. Let s = -1.5 - -2. Which is the fourth biggest value? (a) -2 (b) -1\/4 (c) s (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194438 at least -194439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 61*j**2 - 13*j. Let d(z) = 10*z**2 - 5 + 65 - 2*z - 60. Determine 39*d(o) - 6*u(o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188 - 194. Let z(a) = -a**3 + 7*a**2 + a - 4. Let r be z(7). Sort 0.3, d, r in decreasing order.\nAnswer: r, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/476 and -67\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -24774624, -13, -1\/9 in increasing order.\nAnswer: -24774624, -13, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 2*c - 47*c**2 + 29*c**2 + 2*c.\nAnswer: -c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (79 - 60 - (8 + 2))) + 48?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 12 - -31) + (9 - -3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 207535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 17. Calculate u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 274*q + 1861. Give b(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q + 948 - 504 - 446.\nAnswer: -84*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m)*(-2*m**3 + m**3 + 0*m**3) + 2*m**4 + m**4 - 2*m**4 - 3 + 340*m**4 - 2 + 70*m**4.\nAnswer: 409*m**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 102816 divided by -42\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6391591407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let c(s) = -4*s**2 - 11*s + 4. Let z(u) = 3*u**2 + 12*u - 5. Let p(b) = l*z(b) - 2*c(b). Give p(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and 19323.\nAnswer: -1004796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*f + f**3 - 45*f + 16*f**2 - 2*f**3 + 10 - 19*f**2 as z*f**2 + x*f + a*f**3 + d and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.04. Let u = -0.13 - t. Let s = 0.14004 + u. What is s rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28685203 smaller than 28685205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4)*q*q)\/q)**(-3\/13)\/(q**(1\/6)\/q*q*q)**(-1\/19) assuming q is positive.\nAnswer: q**(775\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-2))\/((26\/(-4))\/(6773 - 6747)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14119 - 14120. What is the closest to r in -17, -48, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3187 is divided by 999?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-2\/61)*a)\/a)\/(((a*((a\/(a\/a**12))\/a)\/a*a)\/a*a*a)\/a) assuming a is positive.\nAnswer: a**(-673\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -120 and 2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4731 is divided by 93.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + sqrt(11))*-5 + 2*(sqrt(11) - (sqrt(33)\/sqrt(3))**2) - (-2*sqrt(176) + (0 + sqrt(11) + -5)**2).\nAnswer: -58 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 567746 - -372021. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 5:41 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 - 2 = -4*r, -6 = 3*z + 3*r. Let p(k) = -3*k + 9. Let d(i) = i - 1. Calculate z*p(v) - 4*d(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -506*n**3 + n**2 - 255*n - 3 wrt n?\nAnswer: -3036*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12155\/340340*1708\/(-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 9 = -3*y, 4*m - 3 = y + 3*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + ((-25)\/(-5))\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z + 30 = 31*z. Let d(y) be the third derivative of y**5\/15 + y**2. What is the units digit of d(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -86\/3. Suppose 10 = -d + 9. Which is the closest to d? (a) -4 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2059e (base 16) to base 13\nAnswer: -48411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11141*z - 11538*z + 4670*z.\nAnswer: -18009*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*j - 30442 = 951*j + 85*j + 45201 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - -41 - (-15 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -18. Let q = s - 3. Suppose 3*w - 51 = -3*j, j + 97 = w + q*w. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19941662 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:13 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 103081.3 millennia?\nAnswer: 1236975600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from qqfqdqooc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + (-2*sqrt(245) + 0 - sqrt(245))))**2 - sqrt(245))*2*-3.\nAnswer: -13230 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/12 and (11\/(-36))\/(142\/213).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -1325*f + 1333*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 + -0.14. Let w = -241 + 241.1. What is the nearest to 2\/3 in r, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let f(x) = -185*x**2. Calculate w(f(r)).\nAnswer: -68450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 16 = -4*v + 14*c, 5*c = -v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332.24 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/(z*z\/z**(1\/4)))*z)**(-1\/2)\/(((z*z\/(z**(-2\/89)\/z*z)*z)\/z)\/z**(-18)) assuming z is positive.\nAnswer: z**(-15947\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0442804418 to 4 decimal places.\nAnswer: -0.0443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116388989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 4*n**2 - 4*n + 5. Let h be x(-5). Let z be (-9)\/4 + (h - -3). Factor 0 + 0*l - 3\/4*l**2 + z*l**3.\nAnswer: 3*l**2*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954879 divided by 11?\nAnswer: 1954879\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.037, -2\/9, 26\/215?\nAnswer: 26\/215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h. Let o(r) = 2*r**2 - 27*r + 8. Let p be o(13). Let q = h - p. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1995, -7974, -17937, -31884, -49815?\nAnswer: -71730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) 0.764 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*281447.\nAnswer: -33773.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145809 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 7:08 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w + 5. Let q(d) = 7*d - 3. Give 3*n(y) + 5*q(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r**(-14)\/r))\/(r**(-10))**(1\/7) assuming r is positive.\nAnswer: r**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 610, 1350, 2378, 3694, 5298?\nAnswer: 7190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 12981576.\nAnswer: 12981581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 12*g - 9. Let f(n) = 4*n**2 - 18*n - 14. Let r(t) = 5*f(t) - 7*v(t). Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*m**3 + 42*m**3 + 60*m**3 + m**3 - 3*m**3 + m**3 + (0 - 2*m + 0)*(-m**2 - m**2 + 0*m**2) + 0 - 2*m**3 + 0.\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 0.06 (c) 16 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 15 + 3 = -2*s, -3*v = -4*s + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/52 and -49\/1210.\nAnswer: 31460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 - 75. Calculate the remainder when s is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 30 = -2*b + 5*q, 2*q - 27 = 14*b - 21*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4784 - 4176.9. Let m = t - 693. Let q = m + 76. Round q to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skdssssssssss. Give prob of sequence kkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045 = -r - 5*b + 10*b, 2*r - 4*b = -2072. Sort r, -4, 3 in decreasing order.\nAnswer: 3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.07 + -5.07. Let v be (2\/(-4) - -1) + -1. What is the nearest to v in f, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.2429469 rounded to 1 dp?\nAnswer: -32.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 380, -1\/6, 1\/2, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/20 - 2*g**2. Let b(h) be the first derivative of -2*h**3 - 133. Give s(b(c)).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-36))\/((-4)\/(-60))*6. Suppose -n*j + j + 828 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 19745?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 42*u**3 + u - 1. Let w be z(1). Suppose -k = -5*a - w, 0 = a - 5*k + 2*k. Let d(m) = -m**2 - 15*m - 7. Is d(a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-4 - -1))\/((-2)\/(-24)). Let d be ((-725)\/5 - j) + -1. Round d to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 - 12 = 0. Suppose k - 4*k - 315 = -4*q, q - g*k - 81 = 0. Is q + (6\/(-3))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*-2 - -2. Let y be (-34)\/(-2) - (i - -3). Let m = y - 21. Which is the closest to 1? (a) 1\/5 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214040 - -41?\nAnswer: 214121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p - 269 - 135 = 116 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, 6, -4, 15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7209, 14427, 21673, 28959, 36297, 43699, 51177?\nAnswer: 58743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - 0)*(-6)\/12. Suppose s + 284000 = -i*s. Round s to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luqglhqquhqluhqlggqq. Give prob of sequence lq.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*p - 102*p - 51*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:37 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80840463 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: List the prime factors of 183856122.\nAnswer: 2, 3, 17, 19, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 2, s: 3, k: 1, f: 1, j: 3}. Give prob of picking 2 s and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 5, 12\/19?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -7 - (17 - 20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30404.2 hours in minutes?\nAnswer: 1824252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45433 divided by 47.\nAnswer: -45433\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6789918 or -6789897?\nAnswer: -6789918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 977*d**2 + 1467*d**2 + 6 - 6. Let m(c) = c. What is m(l(i))?\nAnswer: 2444*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 85102127 to the power of 1\/2, to the nearest integer?\nAnswer: 9225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 1485*y + 4500.\nAnswer: -5*(y - 300)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207.\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2\/(-3))*-3. Calculate the smallest common multiple of 18 + (-2 - -2)*m and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46925 divided by -4\nAnswer: -46925\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4\/9 - 1036*t**3\/3 - 676*t**2 + 89732*t\/9 - 43400\/3 = 0.\nAnswer: -775, -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21979, -43989, -65999, -88009, -110019?\n\"Answer: -22010*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63576997 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 872238613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -330\/817681 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(0\/(-1) - -1). What is the greatest common factor of s and 1248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04575 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -603?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99, -196, -293?\n\"Answer: -97*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*m + 5*p - 6, -3*p + 22 = 5*m. Let i be m*(-2)\/(-2*2). Put -1, 1\/4, i in descending order.\nAnswer: i, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500870 divided by 190.\nAnswer: 150087\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3*r - 3 + 6)*(-7 + 7 - 7*r)*((2*r - r + r)*(-3*r + 1 - 1) - 15*r**2 - 33*r**2 - 42*r**2) as h*r**3 + w + i*r**4 + f*r**2 + z*r and give h.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 75. Let h(n) = -n**2 + 3*n + 2. Calculate h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 141, 373, 713, 1161, 1717, 2381?\nAnswer: 3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/((-24)\/4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*h**2 - 17*h**2 - 76*h**2)*(-h - 2*h + h).\nAnswer: 152*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948539284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o + 40*o - 19*o. Let k(m) = -3*m. Calculate k(f(v)).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + -5 - (-13)\/(13\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, -435, 30 in decreasing order.\nAnswer: 30, 5, 4, -4, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 18.9. Suppose 0*u - 3 = -u. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1880*y**2 + 6*y + 30. Let x(p) = -1468279*p**2 + 4685*p + 23425. Calculate -4685*i(z) + 6*x(z).\nAnswer: -1874*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2*(-16)\/(-10). Suppose -m*c + 0*c = 4. Let l be -2 + (0 - (c + -1)). Are l and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 1. Let t(v) be the first derivative of -v**3\/3 - v**2 + 38*v - 39. Let i(c) be the first derivative of t(c). Give -i(a) - 4*w(a).\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**4*q - 46*i**3*q**2 + 25*i**3 + 167*i**2*q - 201*q**2 wrt i?\nAnswer: -480*i*q - 276*q**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-3)\/234). Suppose h = c + a, 4*a - 9*a + 59 = c. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 3*v = -9*v + 42*v + 126 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1483*s**4*t**2 + 17*s**4 + 7*s**3 + 264*s**2 - 2375*s*t**2 wrt s?\nAnswer: -35592*s*t**2 + 408*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32\/24)\/(6\/11385*5).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86892 and 468?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(324)*1) + 2 + (3*(sqrt(300)*2 - sqrt(9)\/sqrt(3)*4))**2.\nAnswer: sqrt(3)\/6 + 6914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.6 + -8.6. What is the closest to 0.2 in g, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8995*c*n**3 + 198*c*n**2 - c*n + 4*n**2 wrt n.\nAnswer: -53970*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n - 6. Let v(g) = 18*g - 15. Let r(a) = -2*v(a) + 5*z(a). Let l(k) = 5*k. Give l(r(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*h**3 + 118*h**3 - 5*h**2 + 12*h**2 - 7*h**2 + 161*h**3.\nAnswer: -53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 11*o + 3. Let m be i(-9). Let n = m - 282. What are the prime factors of ((-6)\/2*1)\/(3\/n)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n + 105 = 0. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.389212 from 0.024.\nAnswer: -0.365212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -757, -1665, -2727, -3943?\nAnswer: -5313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 82 = -11*t - 3*n, 364*t - 3*n = 360*t - 38 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 91 - 73 = 5*j, -6*f + 2*j = 36 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - c + 3, 0*c - 30 = 5*s - 5*c. Let g be 5 - (2 - s)\/3. Factor 2 - x**5 + 0*x**3 - 3*x + 2*x**2 - g*x**2 + 4*x**3 + 0*x**2.\nAnswer: -(x - 1)**3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 30 = 25*g. Let u(l) = l**2 - 14*l - 1. Let r be u(g). Is (-4)\/r - (-26430)\/42 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-16 - ((19 - 5 - 2) + -21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f + 5. Let q(p) = -17*p - 7. Let l(r) = 3*h(r) + 2*q(r). Give l(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 1)*(-4*m**3 + m**3 + 4*m**3)*(3*m - 3*m - m).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*i + 1810, 16*h - 19*h + 5*i + 1049 = 0. Is h greater than 358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.210925 kilometers to nanometers.\nAnswer: 4210925000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 15. Let z be h(-18). Suppose z*s = -2*s - 15. Is 8 a factor of s*(1 - 1 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 9*h**4 + 3*h**4 + (-5 + 2 + 2)*(-4*h**3 - h**4 + 4*h**3) - 4*h**4 + 4*h**4 + 3*h**4.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/(-4))\/(-5)*(1 - 3). Suppose -5*d - 20 = 0, -3*h + 2*d - 6 = s*d. Suppose 12*c - 9*c = 5*j + 22, -h*c + 2*j + 12 = 0. Solve c = k + k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297829\/7942 + -2\/3971. Calculate the common denominator of y and -23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g = -4*g + 8*g + 102 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 2516712?\nAnswer: 12583560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 4 + 58 - (-132 + 42)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3863559338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1725537, -1725538, -1725539?\n\"Answer: -c - 1725536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 6*h**2 - 3. Let k be g(-6). Calculate the remainder when 3 - (-71 - k - -2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 2. Let y be g(-2). Let i be ((-34)\/8)\/(6\/(-24)). Let l = y + i. Which is the closest to 1? (a) 1 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (15 - (-10 + -21 + 10)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5368489*d**4\/2 - 59048745*d**3\/2 - 322160313*d**2\/2 - 278051*d\/2 - 30 = 0. What is d?\nAnswer: -4, -1\/2317, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5 - 625*z**4 + 2514*z**3 - 1262*z**2 - 2513*z + 1887 = 0.\nAnswer: -629, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -128, 308, 35 in decreasing order.\nAnswer: 308, 35, 3, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 26017\nAnswer: -3\/26017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 84*h + 1600. Determine z(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 6*u**2 - 5*u + 30. Let w be v(6). Let t(o) = 5 + 0 + 0 + o. Let n be t(-4). Put w, n, 2 in increasing order.\nAnswer: w, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*f - 2*f + 14 = 0, -32 = -4*s + 2*f. Suppose s = 3*m - 2*d, 2*m - 5*m + 24 = 4*d. Suppose m*v = 49 - 5. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8520.684 millennia to years.\nAnswer: 8520684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*f + 33, -4*f = o - 6*o + 34. Let n(u) = 3*u**2 - u - 26. What is the units digit of n(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + 259\/14. Let i be (n\/(-2))\/(-3) - 0. Let s = 27 + -9. Solve 3 = -4*l + i*v - 0*v, 3*v = -3*l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) + sqrt(42)\/(sqrt(252) + sqrt(7))).\nAnswer: 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 155*f**2 - 1428*f - 404. Give k(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 + 88 = -4*h + m, -5*h - m = -276. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1 (c) 5 (d) 9392 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114735527 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25.7977442 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14490 divided by -14\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 + 13 - 13 + 14*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8244959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:19 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 1.9. Let i = 2.2 - u. Let t = -200 - -200.4. Which is the second biggest value? (a) -4 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:47 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 3*h + 39 = 0, -4*c + 59 = 3*h. Let m be 12\/c*(-7 + 294\/18). What is the third derivative of m*p**2 - 13*p**2 + p**6 - 5*p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1549\/6 - 258. Let c(i) be the second derivative of 4*i + 1\/3*i**3 - t*i**4 + 0 + 0*i**2. Factor c(v).\nAnswer: -2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190 and 1057570?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -386, -1045, -2012, -3293, -4894, -6821?\nAnswer: -9080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5393, -13086, -25907, -43856, -66933, -95138, -128471?\nAnswer: -166932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75891536 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.72521 - 27081.\nAnswer: -27081.72521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/45 + 14\/(-63). Sort -3, w, 3.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 3. Let r(g) be the first derivative of 3*g**2\/2 - 6*g + 9. Let m(x) = -5*n(x) + 2*r(x). What is m(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5159365 + 220797.44?\nAnswer: 220797.9559365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5082521 rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13 - 0.20316047?\nAnswer: 0.92683953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 190, 552, 1124, 1924?\n\"Answer: 3*t**3 + 78*t**2 - 85*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s - 20. Let n be i(6). Let m(l) = 2*l**3 + 2*l**2 - l. Let j be m(1). Solve 5*h + n = -j*v, h = 2*v - h - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*a**2 - 4)*(4*a + 4*a - 7*a + (5*a - 18*a + 0*a)*(0 - 1 - 1)).\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3509 is divided by 395?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**2 + 119*l + 142. Give f(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152 + 4?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + 23873*a - 2180963. Give d(90).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (43 - 4) + -98 + 71.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 5*x**2 + 3*x**2 + (2*x + 1 - 1)*((2 + 5 - 5)*(-2*x - 2*x + 6*x) + 3*x - 6 + 6))*(-x - 2*x + 4*x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 2*g = -856, 3*g + 1164 = -4*k. Let c = k - -416. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 8*n = 4*n + 38. Solve -2*r = 2*o + n, -r - 3 + 0 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 3*w, 9 = 3*w + 5*l - 15. Let g = -9 + w. Let y = -139 - -141. Sort g, y, 4.\nAnswer: g, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 32*a**3 - 3*a**2 + 3*a - 1. Let p be v(1). Suppose 30*c - p*c = -22. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0*o**3 + 3\/20*o**5 + 0*o**4 + 0 + 7*o + 5*o**2. What is the first derivative of d(n) wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9449*s - 9468*s + 855 = 0. What is the greatest common divisor of 1875 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5301 and -0.11.\nAnswer: 5300.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-29)\/(g**0\/g)*g*(g*(g\/(g**(1\/51)\/g))\/g)\/g*g*g*g**(-15)\/g*g*g*g*g*g assuming g is positive.\nAnswer: g**(-1786\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*f + 173091 + 73671 + 116463. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5958817 is divided by 217.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0 - w**2 - 1\/30*w**5 + 0*w**3 + 0*w + 0*w**4. Let a(r) be the first derivative of r**2\/2 - 2. Give m(a(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times -47.21?\nAnswer: 146.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 889 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/10, -4, 3\/5, 3\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -146, -272, -434?\n\"Answer: -18*i**2 - 36*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 65328 = -65463 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 5027.\nAnswer: 894806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -983 + 1523. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6738 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -227.91, -144\/11 in ascending order.\nAnswer: -227.91, -144\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252251, -1008949, -2270093, -4035683?\nAnswer: -6305719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + (26 - 34).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2316549)\/(-232) - (9\/8)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, -37, -5 in decreasing order.\nAnswer: 3, 0, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*n**3 - 98 + 87 + 35*n**3 to the form h*n**3 + q*n + t*n**2 + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7 (b) -4 (c) 2\/3 (d) -23.3 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 23. Let v(g) be the third derivative of 0*g**4 + w*g + 0 - 5*g**2 - 1\/18*g**3 + 1\/180*g**5. Solve v(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3208 in 3\/8, -3\/26, 2\/37?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a + 3*a**2 + 241 + 150 - 403.\nAnswer: 3*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x + 3. Let d = 1080 - 1081. What is j(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 6*m**2 - 12*m - 7. Let r be v(-4). Put r, -2, 5, 2 in decreasing order.\nAnswer: r, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3403401 + 122331?\nAnswer: 4031232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -23*j**2 + 1. Let b be k(1). Let l be 40\/22 + (-4)\/b. Differentiate 1 - h**4 + l*h - 2*h wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 3*j - 10. Calculate x(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:44 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -35, -49\/3662?\nAnswer: -49\/3662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/5 + 258*v**2\/5 + 7392*v\/5 + 14112 = 0 for v.\nAnswer: -30, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/37 > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2824, 5609, 8354, 11059, 13724, 16349?\n\"Answer: -20*m**2 + 2845*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from ydpbdhn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 7*k - 21. Give j(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 62. Suppose 0*v + 8*v - k = 0. Suppose -4*m - 1 = j, -2*j = -9*m + 4*m + 15. Solve 0 = -b - v - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103, -191, -269, -331, -371, -383, -361, -299?\n\"Answer: t**3 - t**2 - 92*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 43*j. Let l(w) = 59105*w. Determine r(l(c)).\nAnswer: 2541515*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.91 (c) -325 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 891989 and 9678?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121101 - 45213?\nAnswer: 31444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b1448 - -45a?\nAnswer: b18a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.77 * 5.1\nAnswer: -3.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 3*s**2 - 6*s + 9. Let z be n(1). Which is bigger: 196 or z?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiff. Give prob of picking 1 i and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75304 + 39871 + 39583 = -181*b + 15*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 2*c**2 + 1 - 15 to q + o*c**2 + u*c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**5 + 13574*r**3 + 8208*r**2?\nAnswer: -60*r**2 + 81444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22691633 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3864593.\nAnswer: 3\/3864593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3078)*1 + sqrt(3078))\/sqrt(2).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 8*x**2 + 10*x - 10. Let h be j(7). Let t = h - 16. Let k(n) = -n + 3. Let a(w) = -w + 4. Calculate t*a(q) + 6*k(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60392 (base 10) in base 13?\nAnswer: -21647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.4, 4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 4, 845 in decreasing order.\nAnswer: 845, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1104158, 4416623, 9937406, 17666513, 27603950, 39749723?\n\"Answer: v**3 + 1104153*v**2 - v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 7. Let n(d) = -2*d - 7. Let q(o) = 2*n(o) + 3*w(o). Let x(b) = 2*b**2 + 4. Let f(z) = -4*q(z) + 7*x(z). Find v, given that f(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/40 - 9*k**5\/20 + 55*k**2. Determine i so that a(i) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62410 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182079\/10 - 18282. Let o = u + 74. What is the nearest to 0.1 in o, 16, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - 2*q**2 - 9*q - 8. Let x be p(-1). Is 3237 - 1 - (9 + x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20476 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-184)\/(-24) + (-2)\/3. Let w be 2\/d - 132\/(-28). Factor u**2 + 6*u**4 - 3*u**w - u**2.\nAnswer: -3*u**4*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:11 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 5*t. Let u = -1006 + 1003. Which is the second biggest value? (a) t (b) u (c) 0 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 4}. What is prob of sequence bbdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (8 - (4 + -1))) + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egqppinneipipqqinqqp. What is prob of picking 2 i, 1 g, and 1 n?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n, 26*p - 27*p = 2*n + 2. What is the highest common factor of 10130 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1, 7088, -4, 23.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58.843 + 1.853. Let o = -57 - c. Put o, 0.5, 3 in descending order.\nAnswer: 3, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*a + 64 + 3 - 7 - 949*a.\nAnswer: 9*a + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -592, -1446, -2642, -4180?\n\"Answer: -171*l**2 + l + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025401068 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11319\/(-2156))\/((-6)\/8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38399261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(180)*-1 - (sqrt(5) - sqrt(55)\/sqrt(176)))**2*5 + (-6*(sqrt(220)\/sqrt(4) - sqrt(55)) + sqrt(55))\/(sqrt(275) - (sqrt(275) - sqrt(275)*2))).\nAnswer: 3*sqrt(5)\/10 + 54675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 814 = -7087. List the prime factors of h.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 145.\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125*m**2 - 20644*m + 7781879 wrt m.\nAnswer: -250*m - 20644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/61))**(6\/7)\/(s**(-1))**25)**(9\/7) assuming s is positive.\nAnswer: s**(95967\/2989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(-1 + 2 - 2)*((-4 - 1 + 3)*(0*q - q - 8*q) + q + 2*q - 2*q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 37 = 3*x, -j - 4*x = -x + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 59 = -199. Let l = -135 - i. Solve -5*r = -l*w + 40, 5*w - r - 37 = 3*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/5)\/(5\/750*18). Which is the closest to -47? (a) 0.3 (b) -0.3 (c) -0.6 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 1\/2 (b) 191 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a59 (base 13) in base 16?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4*1489\/4*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/679302 and -127\/10608.\nAnswer: 92385072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/6)\/(-16*8\/(-320))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 7. Let z be m(-6). Let x be z\/(-3) + 175\/543. Let t = -7771\/1086 + x. What is the common denominator of t and -65\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11049 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67536, 135085, 202636, 270189, 337744, 405301, 472860?\n\"Answer: x**2 + 67546*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*i**2 + 16520*i - 682276.\nAnswer: -4*(5*i - 413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/(-42))\/(195\/(-10))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r - 66. Give o(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111, -1114, -1117, -1120?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1925c08e1 - -2?\nAnswer: 1925c08e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0265383255 and 0?\nAnswer: 0.0265383255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 58*y + 300. Let i be n(-10). Calculate the highest common divisor of i and 2120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.464501 to 1 decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39\/1969 + 259109\/59070. Calculate the common denominator of -59\/33 and v.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 12*g**2 + 51*g + 15. Determine c(-6).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.7 (b) -0.04 (c) -0.01 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -2 + 7 + (-4 - 1) + -1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -43*i**2 + 9*i**2 + 33*i**2 + 6*i**3 + 5*i**2 + 4. Let g(n) = 2*n**3 - 5*n**3 - 1 - n**2 + 2*n**3. Calculate 4*g(f) + m(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 837 + -341. Let o = v + -251. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) 0.4 (c) 11\/5 (d) -3\/4 (e) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1162)\/249*(-3)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (259\/(-21))\/(20\/(-1200))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*j - 19 = 10, 5*h - 63 = -2*j. Suppose 4*r - 2*a = 18, -3*r + h = -0*r - a. Solve -v - 1 = -r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 (base 13) in base 12?\nAnswer: -1339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -2*g + 13937. Let h = 147343\/74 + g. Let y = -2\/4021 + 325721\/40210. What is the common denominator of h and y?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 times -2.2551?\nAnswer: -374.3466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67253981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 + -84. What is the third derivative of -20*g**3 + 0*g**3 + 8*g**3 + 10*g**3 - h*g + 2*g**2 - 3*g**2 + 144*g**5 wrt g?\nAnswer: 8640*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106707 times -4\nAnswer: -426828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.57, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 9. Let i be q(4). Calculate the common denominator of 81\/14 and 1\/3 + 43\/i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) + (sqrt(156) - (-2*sqrt(156) + sqrt(156))*-2)))\/(sqrt(12) + sqrt(12) + -3*sqrt(12)*-2 - sqrt(84)\/sqrt(112)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2*(-2)\/4. Let u be (2\/(-4))\/(h\/(-10)). Let s(q) = q**3 + 9*q**2 - 20*q + 18. Let f be s(-11). Put -3, u, f in descending order.\nAnswer: u, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 146\/7. Let j = -21607 + 108037\/5. Which is the closest to j? (a) 2\/17 (b) -1.3 (c) -1\/4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -530 + -879. Let h = 1408.8 + j. Suppose 0 = b - 2*d + 13, d + 30 - 9 = -5*b. What is the nearest to 1 in b, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7 + 30 - 5537*w + 5551*w - w**2. Determine o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-3 - 19) - (0 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17316 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 91733879 divided by 208961\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36*v**2 + 8*v + 7. What is j(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/5 + 526287*z**3\/5 + 59498994*z**2\/5 + 342094368*z + 1651499136\/5 = 0 for z.\nAnswer: -56, -1, 175542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - w**2 - 12*w**3 + 13*w**3 - 5*w. Let q be x(4). Let h(g) = 3*g**2 + 5*g + 2. Does 15 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/12)\/(2\/(-8) + 0). Suppose r*c + w = 22, 4*w - 4 = 6*w. What is the derivative of c*t + 4*t - 4*t - 5 - 6*t wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 + 222.8. What is the nearest to 1\/4 in 0.4, x, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 5*a + 27. Let n be c(-7). Suppose 98 = n*o - 11*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:06 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7825.7 less than -2?\nAnswer: -7827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905190 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 30*i.\nAnswer: 3*i*(i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1033 by -34158.\nAnswer: 1033\/34158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2898 - -3039.7. Let v = o + 26.3. Let b = v + -168.0000067. Round b to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 899767512 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 - 96*z**4 + 442*z**3 - 516*z**2 = 0.\nAnswer: 0, 2, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -4, 0.5, 13, 1, -3.58?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 1 + 5*b**2 + 0*b**2 + 4*b - 9*b**2. Let d be a(2). Let j(u) = -u**3 + 7*u**2 - 6*u - 4. What is the units digit of j(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/39496 and 81\/16.\nAnswer: 78992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let v be s(5). Let g = -1.056 + 0.856. Which is the third smallest value? (a) v (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 7, k: 1, e: 6, u: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -649*(-28)\/4*216\/16632?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40150640 + 40150640 - 521*i + 2*i**2)*(-2*i - 2*i + 0*i) in the form v*i + y*i**2 + r + k*i**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-74)\/(-4))\/(1\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(1287\/308)*(-12)\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -46, -71, -96?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4949 and -4955 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {p: 12, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*v = -30, -124*f + 126*f - 3*v - 69 = 0. Solve -f*p - 1 = -79 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5094, -10161, -15178, -20133, -25014, -29809?\nAnswer: -34506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {u: 7, j: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 14608*l - 219170\/3.\nAnswer: 2*(l - 21917)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 34*r**2 + 3 - 2.\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(200) - (-1*sqrt(200))**2)*1.\nAnswer: -600 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Let v(t) = t**2 - 7*t + 2. Let q be v(7). Suppose 4*p = -m + 3*p + 25, -q*m = 5*p - 53. What is the greatest common factor of m and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -870752 - -2148363. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 + 4*n**2 - 4*n\/7 - 4.\nAnswer: 4*(n - 1)*(n + 1)*(n + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -175*f - 17. Let l(w) = 5*w**2 - 49*w + 10. Let u be l(9). Is a(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106, -1107, -1108, -1109, -1110?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-96))\/(34\/6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2)*2\/14. Let d = 0.81 - 0.8. Let g = d + -1.01. Are g and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 + 161 + 223 - 2*u)*(-8 - 50 + 3).\nAnswer: 110*u - 30745","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 2371 + 479 = 0. Let m = 1094920\/24513 + -2\/8171. Let d = i - m. Which is the second biggest value? (a) d (b) 2\/3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29244589 and 3894.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 4\/1) + 1. Let a be (-78)\/9*-3 + o. Let d = a + -13. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 10*x**2 + 8*x**2 - 6*x**2 + 138*x + 138 - 17*x**2. Let c(u) = u + 1. Calculate 138*c(g) - y(g).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-68796)\/(-68040) + 20\/(-18)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/3 (b) 2\/7 (c) -0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -156*y**2 - 19*y - 2. Let n(z) = -80*z**2 - 7*z - 1. What is 5*n(q) - 2*x(q)?\nAnswer: -88*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*d + d + 1414, 0 = 4*d + 16. Let u = z + -1100. Let h = u - -3867\/10. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*3)\/sqrt(12) - (sqrt(1666) + 2*sqrt(1666) + sqrt(34)))\/(2*(sqrt(72) - -6*(sqrt(72) + (sqrt(72)*-3 - sqrt(72))))).\nAnswer: 19*sqrt(17)\/204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 19896*f**2\/5 - 49481352*f\/5.\nAnswer: -2*f*(f + 4974)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -68*o - 4. Let s(c) = 2*c. What is s(v(l))?\nAnswer: -136*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2694 and 71\/586552.\nAnswer: 790085544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 265464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -14, 9, 58, 139, 258?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**3 + 3*f**3 - 4*f**3)*(11 + 24 + 1)*(4 - 2*f - 4).\nAnswer: 576*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306 + 734. Let s = k - 297. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 70, 103, 136, 169, 202?\n\"Answer: 33*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 take away 9888975852?\nAnswer: -9888975852.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -637f?\nAnswer: -637d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g - 69. Let z = g + 10. Calculate the remainder when z is divided by (28\/10)\/((-2)\/(-10)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304728720.\nAnswer: 2, 3, 5, 1269703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53473 - -10?\nAnswer: -53463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4132682 and 128568?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 346\/21 (b) -0.2 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/7, 0.4, -94, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 + 472. List the prime factors of u.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 4. Let p be 2\/(-4) - (-46)\/f. What is the units digit of p\/18 - (-107)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 3*n**7\/49 - 7*n**6\/20 + 19*n**5\/35 + n**4\/7 - 8*n**3\/7 + 3*n**2 - 19. What is p in y(p) = 0?\nAnswer: -2\/5, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(3\/2)\/v)*v**(-10\/13))**(-5\/6) assuming v is positive.\nAnswer: v**(35\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 13. Let b = 1 + n. Let p(a) = -a - 1 + b - 2 - 3*a - 2*a**2. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 times 1462\nAnswer: -371348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 144 + (0 - -2)*-2. Suppose 4*a - g = -32. Suppose 3*t + 3*k = 51, 5*t - a = 2*k + 86. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a**3 - 9*a**2 - 22*a - 19. Let d be m(-6). Let x = d + 498439\/105. Calculate the common denominator of -73\/10 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 3. Suppose -l + 8 = d. What is the third derivative of -2*t**4 - 5*t**6 + 2*t**4 - 78*t**2 + 68*t**l wrt t?\nAnswer: -600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/54168 and 119\/8880.\nAnswer: 541680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 504 - 499. Solve 5*k - 20 = -t*z, 4*z - 18 = -4*k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = 9, 0 = w + 5*s - 2543. Suppose -w = -p - 723. Let j = p - 10757\/6. Find the common denominator of 151\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0295 - -0.009. Let r = n + -0.4485. Round r to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 34 + 10. Solve -4*u = -2*o + 2 - 6, -5*u + 5 = a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.13, -47, -1\/2, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/15 - 2\/3. What are the prime factors of -4*(1 - (-3)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 plus -8.556?\nAnswer: -8.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5\/5 - 501*p**4\/5 - 15843*p**3 - 477339*p**2 - 2151588*p\/5 + 4617996\/5 = 0.\nAnswer: -53, -2, 1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (1 - 1) - -8. Factor 100*p**2 + 6*p**4 + 4*p**4 - 35*p**3 - 60*p - p**5 + 6*p**s - 22*p**4 + 2*p**4.\nAnswer: 5*p*(p - 2)**2*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 10*m**2 - 27*m - 24. Let o(z) = -z - 4. Let s be o(-6). Suppose s*k = -2*k + 84. Calculate the remainder when k is divided by h(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*b + 58 - 46, 0 = 3*b - 3*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 11*a**2 + 15*a + 36. Let z be l(-12). Solve z = -10*i + i + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 56\/3, -6, 109, -1\/3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2111*t**3 + 52983*t**2 - 1722*t - 48643 wrt t.\nAnswer: 12666*t + 105966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175329)\/(-4851)*(-140)\/(-55)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 28*m. Let a(z) = 3*z**2 + 5. Let l(x) = -2*x**2 - 4. Let u = 111 - 116. Let b(y) = u*l(y) - 4*a(y). What is b(c(g))?\nAnswer: -1568*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 19107 (b) 2\/11 (c) -2\/11 (d) -1\/3 (e) -4 (f) 533\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (737 - 737 + p)*((1 + p**3 - 1)*(3*p - 4*p - p) + 2*p**3 - 2*p**3 - p**4).\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 4*t)*(-2*t**2 + 2*t**2 + 4*t**2) + 0*t + t**3 + 0*t + (-t**2 - 2*t**2 + t**2)*(3 - 2*t - 3) + 2*t**3 + 0 + 0.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131287\/10 - 13129. Calculate the common denominator of 47\/9820 and l.\nAnswer: 9820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g - 22. Suppose -4*u - 4*n + 7*n = -113, -g*u = -2*n - 85. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r + 511. Give q(31).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 0.3, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19689, -19597, -19505, -19413, -19321?\n\"Answer: 92*h - 19781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 72 - 18*k**3)*(4 - 1 - 2) as d*k**3 + m*k + s*k**2 + x and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 10*v + 27*v - 2*v + 0*v. Determine q(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 113*n - 56. List the prime factors of i(4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 + (-7 - 4) - -17) - 48?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-430)\/(-387) + 24\/27. Let y(r) be the second derivative of 1\/4*r**4 - 2*r**j + 0 + 1\/20*r**5 + 0*r**3 - 5*r. Determine g, given that y(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3.2. Let a = n - 1. Let p = -704 + 703. What is the second biggest value in 3, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 199111, 398222, 597335, 796450?\n\"Answer: x**2 + 199108*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 22545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 1170?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**4\/x))\/x)\/((((x\/(x**(-5)\/x))\/x)\/x)\/x))\/(x**(-1\/12)\/x**(-6)) assuming x is positive.\nAnswer: x**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/2 + 4*v**3\/3 + 7*v**2 + 8*v + 25. Factor m(q).\nAnswer: -2*(q - 4)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30345.63 minus -719567?\nAnswer: 749912.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -2 + 2)\/(11 + -10). Calculate the remainder when -183*q\/3 - (-2 - -2) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6042.\nAnswer: -2\/3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 29 = -5*z + 121, 3*i - 5*z = 52. Suppose 3*x = 4 + 5. Suppose x*u - i + 0 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 + 14*g + 4. Let t(p) = 14*p**2 - 41*p - 12. Let f(x) = 17*b(x) + 6*t(x). What is the tens digit of f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g + 2. Let j(r) = -23*r + 6. Calculate 8*i(h) - 3*j(h).\nAnswer: 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let m(w) = -2*w - 3. Let c(b) = 3*f(b) + m(b). Let a(u) = 8*u. Determine c(a(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -46*z**2 + 6*z**2 + 39*z**2 + 5*z**2. Let c be 15\/2*(-8)\/(-3). Suppose 0 = -4*f - f + c. Let k(v) = -v**2. Determine f*w(h) + 14*k(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -z - 10, -4*z = -z + 4*l + 6. Suppose -210 = -4*m - z*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let l(c) = -4*c + 6. Let p be 1 - 2 - (2 - -13). Let x be (18\/(-8))\/((-6)\/p). Let n(t) = t - 1. Let f(s) = x*n(s) - l(s). Give j(f(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 2 = -22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147258210 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 9*b + 2. Calculate j(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -38*s**2 + 19*s + 19. Let u(q) = 110*q + q**2 - 1 - 263*q + 152*q. Determine -h(w) - 19*u(w).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4789*w = -6960*w - 23498 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3611 divide 815923505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.03 - -28. Let k = 722.5 + -600. Let i = 122 - k. What is the smallest value in i, -0.1, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 44*p + 444. Let f be q(-28). Sort -1\/9, 1\/3, -2, -0.4, f.\nAnswer: f, -2, -0.4, -1\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*q + 4*s, 4 = 3*q - 5*s - 1. Suppose q = -5*n - 527 + 47. Let a = n - -111. What is the greatest common divisor of a and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(18\/(-135)). Suppose 2*d + 996 = o*d. Suppose -4*v + d = 4*n, 3*v - n - 255 = -6*n. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/638 and 69\/4.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001592509 rounded to six decimal places?\nAnswer: -0.001593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - 2*sqrt(16)\/sqrt(4) - sqrt(36)*-3)\/((sqrt(162)*-6)\/(sqrt(9) + 1*2*sqrt(9))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 7*u**2 + 7*u - 6. Let z be p(-8). Suppose 0 = z*t - 5*t + 81. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 - 9*o - 6. Let v be l(7). Let m be (v\/(-12))\/((-2)\/(-6)). Suppose m*c = -12 + 37. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 84 + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from azuuuuuasafztaufuuut?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 7*q + 19*q)*(-22*q + 4*q**4 + 52*q - 29*q + 3).\nAnswer: 16*q**5 + 4*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + f = 32, 2*s + 2*f = 26 - 10. Let w be ((-6)\/s)\/((-14)\/56). Solve 0 = -w*j - 13 + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212.83 * -18358\nAnswer: -3907133.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:57 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96331 is divided by 1483?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 1:02 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -2, -3 in decreasing order.\nAnswer: 271, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.7123 - 0.0123. Let d = l - 27. Which is the second biggest value? (a) d (b) -1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17775343*o**3 + 7*o + 1325334 wrt o?\nAnswer: -106652058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 704 and 124608?\nAnswer: 124608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -4.459, -175 in increasing order.\nAnswer: -175, -4.459, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 273.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:53 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339507373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10401 + 87003. What are the prime factors of g?\nAnswer: 2, 3, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 144 = 22*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + (sqrt(114) + sqrt(114)*2 + sqrt(114) - sqrt(114)))*-1)*-2)\/(((sqrt(378)*2 - sqrt(378))\/sqrt(9))\/sqrt(7)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9151.8531 + -3279.1.\nAnswer: 5872.7531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1519, 1686, 1853, 2020, 2187, 2354?\n\"Answer: 167*c + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8975 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 3*d**6\/2 - 6189*d**5\/4 - 2590*d**4\/3 + 13750*d**3\/3 + 6880*d**2 - 2*d + 527. Find i such that p(i) = 0.\nAnswer: -2\/3, 1, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43923 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) -11 (c) 664\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -727, 2, -3, 1, 4, -27 in ascending order.\nAnswer: -727, -27, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 27 = -135. What is the units digit of (-4)\/(8\/u) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-21)\/28\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393531023 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082920629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3)*(-6)\/5. Let u(z) = 9*z - 2*z**2 + 5*z**2 - 2*z**x - 4. Calculate the lowest common multiple of u(-10) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*s + 5 = -7, -s = -5*y + 3. Solve y = -6*l - 12 - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2275 - 141. Let v = x - 607. Which is the nearest to v? (a) -0.5 (b) 0.01 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 14. Let f = p + 8. Suppose 0 = -5*j - f*w - 0*w + 10, 5*j - 4*w - 10 = 0. Solve -i = -v, 11 = v + j*i + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -9)*13 - (-361)\/(-11 + 30)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1691039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w - 1. Let n be m(-7). Suppose -n = -v + 9. Suppose 4*y = 5*y, -3*l = 5*y. Solve 0 = 4*d + 5*o - v, l*d - 2*d + 3*o = -13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 + 1910 = 19*c. Let k = -41 + c. Solve 4*g - 2*o = 30, -7*o - k = g - 2*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -305037284 - 2?\nAnswer: -305037286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**5 - 25*h**4\/4 + 10*h**3 + 10*h**2 - 40*h + 23. What is x in a(x) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157c1 (base 16) to base 10.\nAnswer: -88001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + u + 4)*(19*u**2 - 20*u + 20*u) + 3*u**3 + u**3 - 2*u**3.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 409*p + 6056. Calculate s(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 + 2643*b**3*v*z - 28*b**3*z - 369398*b**2*z - v wrt b?\nAnswer: 24*b + 15858*v*z - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 2)\/3 - 8. Let b = z + 8. Let x be b\/8 + 1\/(-4). Solve x*a + 3*a = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 13*v - 8*v + 1093 = 1022, 18*w + 3*v = -63 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73? (a) 0.1 (b) 2 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 4*t. Suppose t = -5*i - 17 - 18. Let q be (-124)\/i + (-4)\/(-14). Calculate the highest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**3 - 144*h**2 + 19*h + 438. Calculate i(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 3, e: 3}. What is prob of picking 2 j and 1 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 240*w - 21. Let n(u) = 5*u**2 + 241*u - 18. Give -7*n(b) + 6*t(b).\nAnswer: b**2 - 247*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 1 - 25*v + 4*v**2 + 24*v + (2 + 0 - 4)*(-2*v**2 + 0*v**2 + v**2).\nAnswer: 3*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3168698, 3168604, 3168510?\n\"Answer: -94*r + 3168792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-224))\/(12\/(-24)*8).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 69. Suppose -7*u = -10*u + 33. Let f = l + u. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124\/63 + 62\/7. Calculate the common denominator of r and -31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*2 + 1*sqrt(119)*-5)\/(6*sqrt(5103)).\nAnswer: -sqrt(17)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(288) - 1*sqrt(288)) + sqrt(288)) - (sqrt(288) + -5*(1 + sqrt(288)))) + 0 + -1*(sqrt(288) - (0 + sqrt(288))))**2 + -5.\nAnswer: 960*sqrt(2) + 18452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3518, 7054, 10590?\n\"Answer: 3536*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, a: 1, b: 2, h: 5, e: 1, i: 2}. Give prob of picking 1 b, 1 a, and 1 e.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-3924)\/27 + (-2)\/3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 4. Let y be 56\/(-3)*18\/(-12). Let m = -22 + y. Calculate d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:51 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -29, -0.4, -0.03, -5 in ascending order.\nAnswer: -29, -5, -0.4, -0.03, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 4*l**6\/3 + 2*l**2 - 26. What is the second derivative of k(g) wrt g?\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*-1*-4 + sqrt(4032))\/(((sqrt(441) - sqrt(441)*-1) + sqrt(441) - sqrt(441))*4).\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7885.934l?\nAnswer: 7885934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - -13 - (-16 - (30 - 38)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8111*t**4 + 5745*t.\nAnswer: 97332*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 192 + p - 192 + 0*p. Let s(o) = -7*o. Give s(n(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*v - 95, -5*v - 22 = -3*c + 1. Solve 3*f + 2*k = -c, 27 = -f - 36*k + 31*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a second in milliseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (6 - 3 - 1) - (-11 + -83 + 83)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z. Let t(u) = u**2 + 221686*u. Determine t(y(h)).\nAnswer: 16*h**2 + 886744*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 >= 2992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-3\/10)*j)))\/((j\/(j*j**(-16)*j*j*j))\/j) assuming j is positive.\nAnswer: j**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*a = 25, -27 = -y + 4*a - 9. What is the least common multiple of 46 and y?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 1, 4, -5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*h = -r + 3, -3*r + 6 = h. Find the third derivative of -34*t**r - 4*t**2 + 2*t**2 + 31*t**3 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - 2*p**5 + 6*p**5 + (6*p**4 + 34*p**3 + p**4 - 9*p**4)*(-45*p + p + 5*p).\nAnswer: 80*p**5 - 1326*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153957 and 556187?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k + k. Suppose -5*q - k*g + 2 = 13, -2*g - 2 = 2*q. Let p(r) = -r + 1. What is the units digit of p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 66397007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 2*r - 2*q, 0 = 3*r - q. Let t be (10\/276)\/r*(-82649)\/(-210). Let c = t - 2\/207. Find the common denominator of c and -113\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, 9106, -3, 2.9 in increasing order.\nAnswer: -3, -1\/5, 2.9, 5, 9106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -4253*w**5\/20 - w**4\/12 + 1847*w**3\/6 - w + 1938. What is the third derivative of j(d) wrt d?\nAnswer: -25518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -692\/5 + 138. Let z = -78127 - -78125. Let t be (4 - 2) + 16\/(-7). Which is the second biggest value? (a) q (b) 0.1 (c) t (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4 + 28*i**3\/3 - 32*i**2 + 48*i + 21. Solve b(r) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792 divided by -6.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/5*2\/(2\/(-5)). Let b be 19\/21 - (312\/j + 7). Determine t so that 0 - 8\/3*t + 4\/3*t**2 - b*t**5 - 4\/3*t**4 + 4*t**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 52*q + 26. Let i(s) = 3*s**2 + 34*s + 17. Let t(l) = -8*i(l) + 5*o(l). Calculate t(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - 0*x. Suppose 5 = x*q - q. Suppose -28 + 8 = -q*f. Solve -12 = -4*m + 2*m + f*k, 2*k = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 743295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2*a + 0)*(2 + 0 - 1) - 2*a + 5*a - 13*a)*(-a + 2*a - 3*a) - 4*a**2 + 5 - 5 to the form t + i*a**2 + c*a and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1d4d (base 15) to base 12\nAnswer: -3831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -15. What is the nearest to 0 in w, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 41*p**2 - 240*p - 6. What is the lowest common multiple of 4 and u(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*y + 129, 4*a + 14 = 2*y - 124. Let r = -12 - a. Let z = r + 1. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let n(f) = -4. Suppose t = -3*t - 4. Let o(z) = t*n(z) + v(z). Is 5 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t - 19. Let n(d) = 5*d + 15. Let a(w) = -3*n(w) - 2*y(w). Calculate a(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2450?\nAnswer: 22050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*3\/15*5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*g - 8*g + 27*g)*(2*g - 4 + 4)*(-2*g - 4*g - 7*g) to the form b*g**3 + y*g**2 + k*g + o and give b.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4216 (base 7) to base 6.\nAnswer: -10511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -252929406 divided by -6\nAnswer: 42154901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/2))**(1\/4)\/(b\/b**(-10\/7)*b*b\/b**(-4\/7)) assuming b is positive.\nAnswer: b**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one halves of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c = -10*c - 60. Suppose f + 14*d = 11*d + 2, -c*f + d = -11. Solve -f*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686365?\nAnswer: 5, 137273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808 is divided by 876?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 118\/15 + 16\/120. Let t be (-27)\/(-6)*i\/12. Suppose t*b + 57 = 6*b. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 111*j = 2442714 - 15342527. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 2*f - 0*f. Suppose -2*j + 6*j + g - 66 = f, 5*j - 72 = 4*g. Calculate the remainder when 20 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001795648237 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.78412169 to three decimal places.\nAnswer: 19.784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 2, -3.4, 244.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -2*v. Let t(s) = -s**2 - 6*s - 5. Let g be t(-4). Suppose -v*m = g*m - 338. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 2*q - q)*(q - 2*q + 2*q) - q**2 + 1 - 1 - 6*q**2 + 25*q**2 + 4*q**2 to the form l + j*q**2 + w*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*t = -200, -k - 3*k + 245 = t. Suppose -g = -6*g + 110. Suppose -k = 5*f - x - 170, f - x = g. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w - 848 = -176, 0*f - 8*w + 4*w + 60 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*l = -8, -n - l - 3 = -1. What are the prime factors of 362 + (n - (7 - 5))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22320 + 3100322311?\nAnswer: 3100233331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 27\/109?\nAnswer: 27\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-35)\/3500)\/((-4)\/(-30)))\/(((-216)\/(-16))\/(-9))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnhnhxnvnvmna. What is prob of picking 1 m and 1 n?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 110*l**2 - 4*l**3 - 105*l**2 + 0*l**3 + 3*l**3. Suppose -t + 4 = 4*s - 18, 2*t = -3*s + 19. What is w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*l - z, 2*l - 3*z - 5 + 27 = 0. Let h be (-14)\/(-77) - 9\/l. Suppose 1 - h = n. Solve -3*b - 5 - 1 = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ficxqce. Give prob of sequence fieq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w - 15. Let a be (24\/(-56))\/((20\/35)\/4). Give o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 397, 398, 399?\n\"Answer: d + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -410800 rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r + 3*r. Suppose r*s = 3*s - 7. Let o = 15 + s. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29 + 31)\/((-2)\/(-984)) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3)*2091\/68. What is the highest common factor of a and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.5? (a) 5\/4 (b) 1 (c) -23 (d) 6 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**20 assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2 + 0 + 0 + 0*p**2 + 0*p**2 + 2*p**2 + (-3*p**2 - 2*p**2 + 3*p**2)*(-1 - 3 + 2) + (3*p - 5*p + 0*p)*(-3*p + 5*p - 4*p).\nAnswer: 12*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(6\/(11 + -47))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3)*j**(-4)*j)**6 assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, a: 4, u: 3, r: 3, o: 3}. What is prob of picking 2 u and 1 r?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**3 + n**2 - 4*n + 3. What is s(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 + 2*m**3 - 4*m**2 + 6*m + 473. Calculate h(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/7)*f\/(f\/f**(-4\/11)*f)*f**0\/f**(-2\/21))**(1\/48) assuming f is positive.\nAnswer: f**(-29\/11088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67332 divided by -6?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19 - -21)\/(4\/478). Suppose x*z - 228*z = -55. What is the nearest to 3 in z, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68082 hours in weeks?\nAnswer: 0.0040525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -2 (b) 46 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836945 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102209039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 12, -3 in descending order.\nAnswer: 33, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 - 456*a**3 + 703*a**2 - 8749062*a wrt a.\nAnswer: 24*a**2 - 2736*a + 1406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -14*a**3 - 2170*a**2 + 14*a + 1357. Give r(-155).\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.11 (c) 2\/19 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 342280, 684584, 1026912, 1369276, 1711688?\n\"Answer: 2*t**3 + 342290*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**4 + 25*q**5 - 13*q**4 + 0*q**4 + (-2*q**2 + 0*q**2 + 4*q**2)*(3*q**3 - 3*q**3 + q**3).\nAnswer: 27*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/4, 0.03, -1\/7, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17240876 divided by -4\nAnswer: -4310219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2140, -2146, -2162, -2194, -2248, -2330?\n\"Answer: -l**3 + l**2 - 2*l - 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = -0*v. Suppose w - v = -4. Is 21 a factor of 39 - (4 + w)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 7. Let p(j) = 1 - 11*j + 47*j - 16*j - 19*j. Let c(f) = f**3 - 9*f**2 - f + 8. Let v be c(9). Calculate v*q(r) - 2*p(r).\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1433224?\nAnswer: 1433232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41899 - 5240980.\nAnswer: -5282879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187 - 187 - ((11 - -1) + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -0. What is the remainder when 9 is divided by (-1)\/(1*k\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 980*b**2\/3 - 13537*b\/3 + 4186.\nAnswer: -(b - 966)*(b - 13)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 + 14 = h, -2*h = -u + 9. Suppose 10 = -r - u*s, -2*s + s = r. Is 127*(-1 + r + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -91*y**2 + y + 92*y**2 - 1 - 1. Let v be a(2). Suppose v*s + 10 - 74 = 0. Calculate the lowest common multiple of 2 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2253 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -12243?\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osokakoooopsspsaoop. Give prob of sequence so.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9 (b) 0.4 (c) 2867 (d) -1\/3 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 v when three letters picked without replacement from {j: 3, v: 17}?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/45)\/(g**15\/g)*(g*g**(-11\/2))\/g**(-29) assuming g is positive.\nAnswer: g**(943\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -616, -1219, -1824, -2431, -3040?\n\"Answer: -r**2 - 600*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1396472, 2792942, 4189412, 5585882, 6982352, 8378822?\n\"Answer: 1396470*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**3 + 7*v**3 - 44*v**2 - 64*v + 14 - 7*v**3 + 50.\nAnswer: -2*(v + 4)**2*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 23*g. Let z(v) be the second derivative of g*v**2 + 0 - 1\/3*v**3 + 5*v. Let i(s) = 3*s**2. What is z(i(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 16*s**2 - 30*s + 28. Let u be c(14). Solve 5*i + 4 = q + 2, -2*q + 4*i + 4 = u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/45 + 2\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*g**4 - 50*g**3 + 11*g**3 + 5*g**2 + 176*g**4 - 3 + 3 in the form q*g + t*g**2 + r*g**4 + v*g**3 + i and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 157 + 119. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-273)\/(-42))\/13)\/(1\/(-5))*1\/(-80).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -330*v - 3447. What is b(-11)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let l(a) = -98430*a**2 - 772*a - 1544. Let h(o) = -383*o**2 - 3*o - 6. Let x(j) = -772*h(j) + 3*l(j). Calculate x(f(v)).\nAnswer: 386*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1\/17 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyjppjppyjpppkpp. What is prob of picking 1 k and 1 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2 - 3)*8. Let l be 14\/35 - ((-1684)\/y + -1). Is 43 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2262 and 11622.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, i: 2, q: 9}. Give prob of sequence id.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c + 136. Let h be v(11). What is the greatest common factor of 54 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2332 and 249100.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -102*y - 371. Let c be w(-13). Let d = c - 636. Is d a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2642974172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 + 780*n**3 - 2136*n.\nAnswer: 24*n**2 + 4680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/(3\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.0965 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503 - 503.1. Sort 2\/5, -3, n.\nAnswer: -3, n, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66114954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -865200 + 3*x + 865193 - x**3 + 32*x to b + q*x**2 + g*x**3 + a*x and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:38 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -3*b. Suppose -2*t - b = t. What are the prime factors of 20 + -16 - (-14 + t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 - 13*b**2 + 6*b + 16. Suppose 0 = -3*s + 5*l + 27, 3*s - l + 5 - 20 = 0. What is the remainder when 44 - s\/((-16)\/12) is divided by p(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -53, 5, 0 in ascending order.\nAnswer: -53, -4, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k. Let f(g) = -2*g**2 - 2*g - g**2 + 9*g**2 + 5*g**2 + 0*g. What is f(j(p))?\nAnswer: 4400*p**2 - 40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 - 6*p**4 - 168*p**3 - 624*p**2 - 912*p - 480 = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -26. Let m be (42\/(-36))\/(-7) - 1\/6. Solve -3*o = a, m = 4*u + o - 7 - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-2\/29))**34\/((w**(2\/13)*w*w**(-3\/2)*w)\/(w*((w*w\/w**0)\/w)\/w)**23) assuming w is positive.\nAnswer: w**(13313\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggbbbggbb. Give prob of picking 2 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -225*g - 2700. What is u(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13342528*v**5 + 1244058*v**2 + 5 wrt v?\nAnswer: -800551680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/(-21)*((-66)\/8)\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -768180 divided by -1085?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1704\/(-1988))\/((-16)\/(-7))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -58. Suppose 4*n - 6 = n. Suppose 0 = -5*k - l + 50, n*l + j = 3*k - k. Calculate the greatest common factor of k and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = 1750 - 11568 - 8182. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/((-30)\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*5)\/(10\/(-36)). Suppose w + 0*w = -2*q + c, -3*w = -3*q + 27. Calculate the remainder when 45 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*u**2 + 40*u**2 - 30*u**2 + 26*u**2)*(-65*u - 39*u - 100*u) in the form f*u**2 + m + y*u**3 + c*u and give y.\nAnswer: -17952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a5 + 7?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 5. Let j(v) = v. Let n(z) = -2*j(z) + l(z). Determine n(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364.2*-0.01.\nAnswer: 3.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/20 + 27*x**2\/2 - 19*x. What is the derivative of g(a) wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - 6*((sqrt(121) - (-2*sqrt(121) - sqrt(121))) + sqrt(121)))\/(sqrt(22)\/sqrt(2)*1).\nAnswer: -29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -124330100 (base 5) to base 2\nAnswer: -10010111100001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 794, 5, 3 in descending order.\nAnswer: 794, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 - (5 - -4 - 1) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(sqrt(2592) + -3*(-1 + sqrt(2592)) + sqrt(2592) + (sqrt(2592)*2 - sqrt(2592)) + -3)*2 + -2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1297550945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124430*g**2 - 792437*g**2 + 262296*g**2 - 654054*g**2.\nAnswer: -1059765*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62398681 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: Suppose 0 = -71*g + 26*g + 135. Solve 0 = g*k - 6*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9)*4\/12. Let q = 2 - 2.05. Let d = -3.95 + q. Put 2\/13, t, d in decreasing order.\nAnswer: 2\/13, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -25. Let a = u - -69.122. What is a rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 174*v**2 + 20*v - 128. Is 32 a factor of u(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186536*v**6 + 88*v**2 - 6292.\nAnswer: -22384320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -8\/5, -6, -0.02666 in decreasing order.\nAnswer: -0.02666, -8\/5, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-256)\/(-30) + (-10)\/50)\/((-1)\/(-117)) is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 8*c - 16. Let l be o(-13). Let f = 101\/2 - l. Let y = 6.8 + -7. Sort f, -6, y in decreasing order.\nAnswer: f, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:54 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32872 >= 32794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*p - 1 = -0*t - 3*p - 24, -14*p = 2*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reeeeeerreyrereeer. Give prob of picking 1 e, 1 y, and 1 r.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446, 813, 1180?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19270, 77574, 174750, 310798, 485718?\n\"Answer: 19436*x**2 - 4*x - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/53 and 53\/5?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 1. Let g(l) be the first derivative of -3\/2*l**4 - 5*l - 1 + 0*l**3 + 0*l**2. Calculate 5*d(i) - g(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -78154767.518 - 10?\nAnswer: -78154777.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/(-70))\/((4020\/(-280))\/67))\/((-4)\/(-120))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4239 and 33.\nAnswer: 46629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2612 + 1047. List the prime factors of (t\/10)\/((-8)\/48).\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 9:40 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -7. Let j be (18\/15)\/t*-45. Suppose 5*q - j = -2*r, 4*r - q = q + 42. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/3)\/((-5)\/495). Let f = 741 + i. Which is greater: -182 or f?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 12*o**2 + 34*o - 24. Let z be n(14). Let b = 63 - z. Suppose -b = -4*q + 13. Solve 4*c = -5*k + q, 0 = -k + c + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4092 = -4*z, 156*z + 4 = 155*z. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -302. Suppose -s + b = 3*d, 0*s = 5*s - 2*d - 621. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35320303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-1\/19)))\/((l\/l**(-38))\/l) assuming l is positive.\nAnswer: l**(-702\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -10 - 2 + 175*w - 6*w**3 - 140*w. What is the derivative of g(i) wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4\/(-8)*2)\/((-3)\/(-57)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1583 = -5*j - 115, 2*l = 2*j - 586. What is the highest common factor of 210 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6941403 and 330543.\nAnswer: 6941403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -7 + 0*r + 1\/2*r**2. Let o(q) = -13*q**2 + 28*q**2 - 14*q**2. Determine o(s(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 + 2. Let r = 633 + -631. Let b = g + r. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679578452 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/30 - k**5\/12 - 131*k**2. Let p(d) = 5*d**3 + 5*d**2. What is 4*g(n) + 3*p(n)?\nAnswer: -n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + 3 + 10 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 32286194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 5*n - 34, 5*n + 12 = v + 2*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Calculate the least common multiple of 22 and (-14)\/f*-2*9\/(-21).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*j - 11 = 0, 0 = h + 20*j - 24*j + 7. Solve -2*g - h*n + 74 = 47, 5*g - 3*n = -10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -479.28667.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**3\/6 + 3*z. Let k be w(0). Which is smaller: k or 1\/58?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48202.67 litres to millilitres.\nAnswer: 48202670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l**4 + 23*l**3 - 23*l**3 + (3 - 3 + 3*l)*(-4*l + 4*l + l**3) to p + b*l**3 + z*l + f*l**2 + w*l**4 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655761501?\nAnswer: 3, 2698607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, i: 5, k: 2}. Give prob of picking 1 b and 2 k.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i**3 + 2*i**2 - 1. Calculate w(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = -0*t + 3*t, -v + 2*t - 8 = 0. Let k(j) = -2*j - 7 + j + 2*j. Let l be k(8). Which is bigger: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 25*d**2 + 8*d - 21. Give q(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Suppose 2 = 2*c - 6. Suppose 0 = -2*u - 2*a + c, 0 = -u + 3*u - 4*a - 34. What is the least common multiple of u and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/4 and -12\/371.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 4*y**5\/5 - 16*y**4 - 48*y**3 + 77. Factor l(d).\nAnswer: 4*d**2*(d - 18)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 41 = -21*l + 412 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 320 = 16*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 + 5*k. Let z be r(-5). Let w = 22779 + -22781. Put z, 4, w, 5 in descending order.\nAnswer: 5, 4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 8*i**2 - 8*i + 5. Let x be j(-9). Let o = x + -1. Put o, 2, 1 in increasing order.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 201202332?\nAnswer: -201202333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 10981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -234.2 + 214. Let o = b + 20. What is the third biggest value in 0.07, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3*(2 + 15\/(-3)). Suppose -5*b - 4*p + 5449996 = 0, k*b = -3*p - 311975 + 4671972. Round b to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 2. Suppose -2*t - 17 = -3*h, 0*h = h + 5*t. Let n be w(h). Solve n*d + 1 = -11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17309 + (0 - -1 - -4). Suppose 3*v + 35509 = 4*s, -3*v + v - 3*s - 23701 = 0. Let a = q + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001082016 rounded to 7 decimal places?\nAnswer: 0.0001082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 9480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-13)\/((t*t\/(t\/(t**(1\/3)*t)))\/t)**(-5) assuming t is positive.\nAnswer: t**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11) + sqrt(11))*5 + (sqrt(1100) - 1*sqrt(1100))**2.\nAnswer: -20 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420)*1 + sqrt(2420))*-4*4)\/(2*-5*-1*sqrt(250)).\nAnswer: -176*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*c**2)*(0 + 5 - 4)*(69 - 168 + 57).\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51570?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 7*j - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9ab (base 14) to base 5.\nAnswer: -4224030","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 + -0.1. Let n = 9.9 + 0.1. Let m = n - 14. What is the second biggest value in y, m, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 0, 11, 55, 2 in decreasing order.\nAnswer: 74, 55, 11, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-318)\/4028 + (-4804)\/760.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369 and 24559.\nAnswer: 221031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/13 (c) -1\/27 (d) 11.41 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.150985 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-28) - (-1190)\/40. Solve 3*j = 4*n - s - 4, 9 = j + 2*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 730?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77221 or -1?\nAnswer: 77221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -14. Suppose 5*b = 5*q - 35, -b = q - v*b - 13. Let n(w) = 4*w**2 + 31*w - 6. Let h be n(-8). Solve -20 = -q*a - d, a = -h*a + 4*d + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 248722604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 5) + 0 - -7. Suppose 7 = 5*w + 2*h, -2*w - c*h = -w - 5. Is w greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.806 * -0.01.\nAnswer: -0.01806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969788049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 96*p**2 + 40*p - 650*p**3 + 136*p - 12*p**4 + 390*p**3 = 0?\nAnswer: -22, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56960 divided by 320\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 10. What is p(-9)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 0*m**3 + 3*m**3 - 2*m**3 + 2*m to the form v*m**3 + b*m + x + r*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 103. Suppose 5*m - 530 = -o*m. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6503, -6507, -6513, -6521, -6531, -6543?\n\"Answer: -o**2 - o - 6501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - 80\/(-30). List the prime factors of 4 + -2 + -4 + o - -39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -44. Let r(u) = -2*u**3 + 57*u**2 - 31*u + 46. Let d be r(28). Are d and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}